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AFM Lecture Notes 2022 N

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ACCA PAPER AFM
Advanced Financial Management
Lecture Notes
ACCA SILVER APPROVED LEARNING PARTNER
KOFI ANNAN PROFESSIONAL INSTITUTE
Contents
The Financial Management Function...................................................................12
INVESTMENT APPRAISAL .........................................................................................13
Question 1 ............................................................................................................... 18
Question 2 Fernhurst Co. (assignment) ............................................................... 18
Question 3 (assignment) ....................................................................................... 22
Question 4 ............................................................................................................... 23
Question 5 GNT Co[ASSIGNMENT]. ...................................................................... 24
Question Bank for Investment Appraisal ............................................................ 24
Capital Rationing ...................................................................................................25
Question 6 ............................................................................................................... 27
Question 7 (assignment) ....................................................................................... 29
Question 8 Abore Co. ........................................................................................... 29
Cost of Capital .......................................................................................................31
Question 9 ............................................................................................................... 33
Question 10 ............................................................................................................. 33
Question 11 ............................................................................................................. 34
Question 12 ............................................................................................................. 35
Question 13 ............................................................................................................. 35
Question 14 ............................................................................................................. 37
Question 15 ............................................................................................................. 38
Question 16 ............................................................................................................. 38
Question 17 ............................................................................................................. 39
Question 18 ............................................................................................................. 39
Question 19 ............................................................................................................. 40
Question 20 ............................................................................................................. 40
Question 21 Batch Co. .......................................................................................... 41
Question 22 ............................................................................................................. 41
Question 23 AMH Co. ............................................................................................ 42
Risk-adjusted WACC (De-gear & Re-gear) ........................................................ 43
Question 24 ............................................................................................................. 45
Question 25 Moorland Co. ................................................................................... 45
Question 26 Moon dog Co. .................................................................................. 52
Question 27 Mlima Co. .......................................................................................... 53
Question 28 Tisa Co. (assignment) ...................................................................... 53
Question Bank for Risk Adjusted WACC ............................................................. 55
Adjusted Present Value (APV) ..............................................................................55
Question 29 Blades Co. ......................................................................................... 57
Question 30 Strayer assignment ........................................................................... 58
Question bank for APV .......................................................................................... 58
International Investment Appraisal ......................................................................59
Question Bank for International Appraisal ......................................................... 59
Question 31 ............................................................................................................. 61
Question 32 ............................................................................................................. 62
Question 33 ............................................................................................................. 62
Question 34 ............................................................................................................. 63
Question 35 Parrott Co. ......................................................................................... 63
Question 36 Puxty Plc. ........................................................................................... 64
BOND VALUATION ..................................................................................................65
Question bank for Bonds....................................................................................... 65
Question 37 ............................................................................................................. 72
Question 38 Landline Co. ..................................................................................... 72
Question 39 ............................................................................................................. 72
Question 40 assignment ........................................................................................ 73
Question 41 Kenand Co. ...................................................................................... 74
Question 42 Levante Co. ...................................................................................... 74
BUSINESS VALUATION .............................................................................................77
Question 43 ............................................................................................................. 79
Question 44 ............................................................................................................. 79
Question 45 ............................................................................................................. 80
Question 46 ............................................................................................................. 80
Question 47 ............................................................................................................. 82
Question 48 ............................................................................................................. 82
Question 49(ASSIGNMENT) ................................................................................... 83
Question 50 ............................................................................................................. 83
Question 51 ............................................................................................................. 86
Question 52 ............................................................................................................. 86
Question 53 assignment ........................................................................................ 86
Question 54 Stanzial Inc. ....................................................................................... 87
Mergers and Acquisitions ..................................................................................... 89
Question Bank for Mergers and Acquisitions ..................................................... 89
Question 55 Pursuit Co. (Jun 11 Adapted) ......................................................... 92
Question 56 SIGRA CO (Dec 12 Adapted) ........................................................ 98
Question 57 Anderson Co.(ASSIGNMENT) .......................................................... 99
Question 58 Detox Plc.(ASSIGNMENT) ............................................................... 100
Detox plc ............................................................................................................... 100
Question Bank for Dividend Capacity .............................................................. 101
Question Bank for Restructuring ......................................................................... 101
Currency Risk Management ............................................................................... 102
Question 59 ........................................................................................................... 105
Question 60 Casasophia Co. ............................................................................. 107
QUESTION 61 Lammer Plc. ..................................................................................... 1
Question 62 Lirio Co. ................................................................................................ 2
Question 63 Kenduri Co. ......................................................................................... 3
Question 64 The Armstrong Group ........................................................................ 8
Interest Rate Hedges .............................................................................................11
Question Bank for Interest Rate Risk .................................................................... 11
Question 65 ............................................................................................................. 14
Question 66 ............................................................................................................. 14
Question 67 ............................................................................................................. 15
Question 68 ............................................................................................................. 20
Question 69 ............................................................................................................. 20
Question 70 Warne Co. ......................................................................................... 21
Question 71 Wa Inc. .............................................................................................. 21
Question 72 Alecto Co. ......................................................................................... 22
Question 73 Pault Co............................................................................................. 23
Question 74 Sembilan Co. .................................................................................... 24
Question 75 Buryecs .............................................................................................. 26
Question 76 Awan Co. .......................................................................................... 28
Option Pricing ........................................................................................................30
Question 77 Uniglow .............................................................................................. 37
Question 78 Mesmer Magic Co. .......................................................................... 38
Mergers & Acquisitions ..........................................................................................39
Business Reorganization ........................................................................................48
Question Bank (Complete)................................................................................... 55
MATHEMATICAL TABLES AND FORMULAE SHEET
Present Value Table
Present value of 1 i.e. (𝟏 + 𝐫)−𝐧
Periods
(n)
1%
2%
3%
4%
5%
6%
7%
8%
9%
10%
1
2
3
4
5
0.990
0.980
0.971
0.961
0.951
0.980
0.961
0.942
0.924
0.906
0.971
0.943
0.915
0.888
0.863
0.962
0.925
0.889
0.855
0.822
0.952
0.907
0.864
0.823
0.784
0.943
0.890
0.840
0.792
0.747
0.935
0.873
0.816
0.763
0.713
0.926
0.857
0.794
0.735
0.681
0.917
0.842
0.772
0.708
0.650
0.909
0.826
0.751
0.683
0.621
1
2
3
4
5
6
7
8
9
10
0.942
0.933
0.923
0.914
0.905
0.888
0.871
0.853
0.837
0.820
0.837
0.813
0.789
0.766
0.744
0.790
0.760
0.731
0.703
0.676
0.746
0.711
0.677
0.645
0.614
0.705
0.665
0.627
0.592
0.558
0.666
0.623
0.582
0.544
0.508
0.630
0.583
0.540
0.500
0.463
0.596
0.547
0.502
0.460
0.422
0.564
0.513
0.467
0.424
0.386
6
7
8
9
10
11
12
13
14
15
0.896
0.887
0.879
0.870
0.861
0.804
0.788
0.773
0.758
0.743
0.722
0.701
0.681
0.661
0.642
0.650
0.625
0.601
0.577
0.555
0.585
0.557
0.530
0.505
0.481
0.527
0.497
0.469
0.442
0.417
0.475
0.444
0.415
0.388
0.362
0.429
0.397
0.368
0.340
0.315
0.388
0.356
0.326
0.299
0.275
0.350
0.319
0.290
0.263
0.239
11
12
13
14
15
(n)
11%
12%
13%
14%
15%
16%
17%
18%
19%
20%
1
2
3
4
0.901
0.812
0.731
0.659
0.893
0.797
0.712
0.636
0.885
0.783
0.693
0.613
0.877
0.769
0.675
0.592
0.870
0.756
0.658
0.572
0.862
0.743
0.641
0.552
0.855
0.731
0.624
0.534
0.847
0.718
0.609
0.516
0.840
0.706
0.593
0.499
0.833
0.694
0.579
0.482
1
2
3
4
5
6
7
8
9
10
0.593
0.535
0.482
0.434
0.391
0.352
0.567
0.507
0.452
0.404
0.361
0.322
0.543
0.480
0.425
0.376
0.333
0.295
0.519
0.456
0.400
0.351
0.308
0.270
0.497
0.432
0.376
0.327
0.284
0.247
0.476
0.410
0.354
0.305
0.263
0.227
0.456
0.390
0.333
0.285
0.243
0.208
0.437
0.370
0.314
0.266
0.225
0.191
0.419
0.352
0.296
0.249
0.209
0.176
0.402
0.335
0.279
0.233
0.194
0.162
5
6
7
8
9
10
11
12
13
14
15
0.317
0.286
0.258
0.232
0.209
0.287
0.257
0.229
0.205
0.183
0.261
0.231
0.204
0.181
0.160
0.237
0.208
0.182
0.160
0.140
0.215
0.187
0.163
0.141
0.123
0.195
0.168
0.145
0.125
0.108
0.178
0.152
0.130
0.111
0.095
0.162
0.137
0.116
0.099
0.084
0.148
0.124
0.104
0.088
0.074
0.135
0.112
0.093
0.078
0.065
11
12
13
14
15
Annuity table
Present value of an annuity of 1 i.e. 𝟏 − (𝟏 + 𝒓)−𝒏
𝒓
where
r = interest rate
n = number of periods
Discount rate (r)
Periods
(n)
1%
2%
3%
4%
5%
6%
7%
8%
9%
10%
1
2
3
4
5
0.990
1.970
2.941
3.902
4.853
0.980
1.942
2.884
3.808
4.713
0.971
1.913
2.829
3.717
4.580
0.962
1.886
2.775
3.630
4.452
0.952
1.859
2.723
3.546
4.329
0.943
1.833
2.673
3.465
4.212
0.935
1.808
2.624
3.387
4.100
0.926
0.178
2.577
3.312
3.993
0.917
1.759
2.531
3.240
3.890
0.909
1.736
2.487
3.170
3.791
1
2
3
4
5
6
7
8
9
10
5.795
6.728
7.652
8.566
9.471
5.601
6.472
7.325
8.162
8.893
5.417
6.230
7.020
7.786
8.530
5.242
6.002
6.733
7.435
8.111
5.076
5.786
6.463
7.108
7.722
4.917
5.582
6.210
6.802
7.360
4.767
5.389
5.971
6.515
7.024
4.623
5.206
5.747
6.247
6.710
4.486
5.033
5.535
5.995
6.418
4.355
4.868
5.335
5.759
6.145
6
7
8
9
10
11
12
13
14
15
10.370
11.260
12.130
13.000
13.870
9.787
10.580
11.350
12.110
12.850
9.253
9.954
10.630
11.300
11.940
8.760
9.385
9.986
10.560
11.120
8.306
8.863
9.394
9.899
10.380
7.887
8.384
8.853
9.295
9.712
7.499
7.943
8.358
8.745
9.108
7.139
7.536
7.904
8.244
8.559
6.805
7.161
7.487
7.786
8.061
6.495
6.814
7.103
7.367
7.606
11
12
13
14
15
Periods
(n)
11%
12%
13%
14%
15%
16%
17%
18%
19%
20%
1
2
3
4
5
0.901
1.713
2.444
3.102
3.696
0.893
1.690
2.402
3.037
3.605
0.885
1.668
2.361
2.974
3.517
0.877
1.647
2.322
2.914
3.433
0.870
1.626
2.283
2.855
3.352
0.862
1.605
2.246
2.798
3.274
0.855
1.585
2.210
2.743
3.199
0.847
1.566
2.174
2.690
3.127
0.840
1.547
2.140
2.639
3.058
0.833
1.528
2.106
2.589
2.991
1
2
3
4
5
6
7
8
9
10
4.231
4.712
5.146
5.537
5.889
4.111
4.564
4.968
5.328
5.650
3.998
4.423
4.799
5.132
5.426
3.889
4.288
4.639
4.946
5.216
3.784
4.160
4.487
4.772
5.019
3.685
4.039
4.344
4.607
4.833
3.589
3.922
4.207
4.451
4.659
3.496
3.812
4.078
4.303
4.494
3.410
3.706
3.954
4.163
4.339
3.326
3.605
3.837
4.031
4.192
6
7
8
9
10
11
12
13
14
15
6.207
6.492
6.750
6.982
7.191
5.938
6.194
6.424
6.628
6.811
5.687
5.918
6.122
6.302
6.462
5.453
5.660
5.842
6.002
6.142
5.234
5.421
5.583
5.724
5.847
5.029
5.197
5.342
5.468
5.575
4.836
4.988
5.118
5.229
5.324
4.656
4.793
4.910
5.008
5.092
4.586
4.611
4.715
4.802
4.876
4.327
4.439
4.533
4.611
4.675
11
12
13
14
15
Standard normal distribution table
0
0.01
0.02
0.0000 0.0040 0.0080
0.1 0.0398 0.0438 0.0478
0.2 0.0793 0.0832 0.0871
0.3 0.1179 0.1217 0.1255
0.4 0.1554 0.1591 0.1628
0.0
0.03
0.04
0.05
0.06
0.07
0.08
0.09
0.0120 0.0159 0.0199 0.0239 0.0279 0.0319 0.0359
0.0517 0.0557 0.0596 0.0636 0.0675 0.0714 0.0753
0.0910 0.0948 0.0987 0.1026 0.1064 0.1103 0.1141
0.1293 0.1331 0.1368 0.1406 0.1443 0.1480 0.1517
0.1664 0.1700 0.1736 0.1772 0.1808 0.1844 0.1879
0.1915 0.1950 0.1985 0.2019 0.2054 0.2088 0.2123 0.2157 0.2190 0.2224
0.6 0.2257 0.2291 0.2324 0.2357 0.2389 0.2422 0.2454 0.2486 0.2518 0.2549
0.7 0.2580 0.2611 0.2642 0.2673 0.2704 0.2734 0.2764 0.2794 0.2823 0.2852
0.5
0.2881 0.2910 0.2939 0.2967 0.2995 0.3023 0.3051 0.3078 0.3106 0.3133
0.9 0.3159 0.3186 0.3212 0.3238 0.3264 0.3289 0.3315 0.3340 0.3365 0.3389
0.8
0.3413
0.3643
0.3849
0.4032
0.4192
0.3438
0.3665
0.3869
0.4049
0.4207
0.3461
0.3686
0.3888
0.4066
0.4222
0.3485
0.3708
0.3907
0.4082
0.4236
0.3508
0.3729
0.3925
0.4099
0.4251
0.3531
0.3749
0.3944
0.4115
0.4265
0.3554
0.3770
0.3962
0.4131
0.4279
0.3577
0.3790
0.3980
0.4147
0.4292
0.3599
0.3810
0.3997
0.4162
0.4306
0.3621
0.3830
0.4015
0.4177
0.4319
0.4332
1.6 0.4452
1.7 0.4554
1.8 0.4641
0.4345
0.4463
0.4564
0.4649
0.4357
0.4474
0.4573
0.4656
0.4370
0.4485
0.4582
0.4664
0.4382
0.4495
0.4591
0.4671
0.4394
0.4505
0.4599
0.4678
0.4406
0.4515
0.4608
0.4686
0.4418
0.4525
0.4616
0.4693
0.4430
0.4535
0.4625
0.4699
0.4441
0.4545
0.4633
0.4706
1.0
1.1
1.2
1.3
1.4
1.5
1.9
0.4713 0.4719 0.4726 0.4732 0.4738 0.4744 0.4750 0.4756 0.4762 0.4767
2.0
0.4772
0.4821
0.4861
0.4893
0.4918
2.1
2.2
2.3
2.4
0.4778
0.4826
0.4865
0.4896
0.4920
0.4783
0.4830
0.4868
0.4898
0.4922
0.4938 0.4940 0.4941
2.6 0.4953 0.4955 0.4956
2.7 0.4965 0.4966 0.4967
2.8 0.4974 0.4975 0.4976
2.9 0.4981 0.4982 0.4983
2.5
3.0
0.4788
0.4834
0.4871
0.4901
0.4925
0.4793
0.4838
0.4875
0.4904
0.4927
0.4798
0.4842
0.4878
0.4906
0.4929
0.4803
0.4846
0.4881
0.4909
0.4931
0.4808
0.4850
0.4884
0.4911
0.4932
0.4812
0.4854
0.4887
0.4913
0.4934
0.4817
0.4857
0.4890
0.4916
0.4936
0.4943 0.4945 0.4946 0.4948 0.4949 0.4951 0.4952
0.4957 0.4959 0.4960 0.4961 0.4962 0.4963 0.4964
0.4968 0.4969 0.4970 0.4971 0.4972 0.4973 0.4974
0.4977 0.4977 0.4978 0.4979 0.4980 0.4980 0.4981
0.4983 0.4984 0.4984 0.4985 0.4985 0.4986 0.4986
0.4987 0.4987 0.4987 0.4988 0.4988 0.4989 0.4989 0.4989 0.4990 0.4990
This table can be used to calculate N (d1), the cumulative normal distribution function needed
for the Black-Scholes model of option pricing. If d1 > 0, add 0.5 to the relevant number above.
If d1 < 0, subtract the relevant number above from 0.5.
HOW TO PASS AFM
1. TIME MANAGEMENT
2. PRACTISE
3. THEORIES
4. COMPONENT (SYLLABUS)
AFM Structure
Investment
Appraisal
Local
Appraisal
International
Appraisal
APV
WACC
Risk Adjusted
WACC
Real Options
Business
Valuation
Methods of
Valuation
Risk
Management
Currency
Interest Rates
Mergers &
Acquisitions
Forward
F.R.A.
Reconstruction
Futures
I.R.G.
Ratios
Options
Futures
Bond
Valuation
Swaps
Option
Option
Pricing
Money
Markets
Collar
Netting
The Financial
Management Function
Financial management is unlearned with the efficient acquisition and
deployment of both short and long-term financial resources to ensure the
objectives of the enterprise are achieved.
Decisions must be taken in three key areas:
Investment Decision
Both long-term investment in non-current assets and short-term investment in
working capital.
Financing Decision
From what sources should funds be raised?
Dividend Decision
How should cash funds be allocated to shareholders and how will the value of
the business be affected by this.
ROLES OF A FINANCIAL MANAGER
•
•
•
•
•
•
•
Investment selection and capital resource allocation.
Raising finance and minimizing the cost of capital.
Distribution and retentions.
Communication with stakeholders.
Financial planning and control
Risk management
Efficient and effective use of resources.
Investment Appraisal
Local Appraisal
-
Mar/Jun 2019 Q1 bi,
Ferhust Sep/Dec 2016
Investmnt
Appraisal
Local Appraisal
International
Appraisal
APV
WACC
Risk Adjusted
WACC
Real Options
The main of objective appraisal investment is to access the financial viability of
a project before undertaken. A project is financially viable when it maximizes
shareholders wealth. Shareholders wealth is maximize through capital gain
(when share prices increases) and dividend payment.
Methods of Investment Appraisal
Basic Methods
Advanced Methods
1. ROCE: Return on Capital
Employed
or
ARR:
Accounting Rate of return
-
None
2. Payback
-
Duration
3. IRR: Internal Rate of Return
-
MIRR: Modified Internal Rate of
Return
4. NPV: Net Present Value
-
APV: Adjusted Present Value
Other Specialized Areas:
a. Capital Rationing
b. Sensitivity Analysis
c. Equivalent Annual Cost or Benefit
Return on Capital Employed (ROCE)
Return on Capital Employed is also known as the Accounting Rate of Return.
ROCE =
Average Annual PBIT & After depreciation
Initial Capital Cost/Average Capital Investment
Average Capital Investment = Initial Investment + Scrap Value
2
The Accounting Rate of Return (ARR) is a measure of relative project
profitability, which expresses:
1. The expected annual profit (after allowing for depreciation but before
taxation) as a percentage of
2. The investment involved. Normally the average investment over the life
of the project is used, but initial investment is sometimes employed.
Advantages of ROCE


It is relatively easy to understand
The required figures are readily available from accounting data.

The ROI technique is frequently used as an assessment of management’s
actual performance.

It gives an indication as to whether projects are meeting target returns
on capital employed.
Disadvantages of ROCE

Based on accounting profit not cash flows-the success of an enterprise
depends on its ability to generate cash. The ability to invest depends on
availability of cash.

Ignores the time value of money

No set of rules for determining the cut-off rate of return.

It may ignore working capital

It is based on profit which can easily be manipulated.
Payback Period
The payback period demonstrates the average time needed to generate
after-after cash flows from the project to recoup the intial investment. Thus it
gives an investor an idea of “how long their money will be at risk”; a short
payback period is taken to reveal low risk, and a long payback – high risk.
Advantages of Payback Period

Easy to calculate and understand.

It uses cash flows rather than profits.

Rapid payback maximizes liquidity, minimizes risk and leads to rapid
company growth.
Disadvantages of Payback Period

Does not measure profitability nor increases wealth.

It ignores cash flows after the payback period.

It ignores the time value of money.

No set of rules for determining the minimum acceptable payback
period.
Net Present Value
To appraise the overall impact of a project using the Discounted Cash flow
(DCF) techniques involves discounting all the relevant cash flows associated
with the project back to their present value. If we treat outflows of the project
as negative and inflows as positive, the NPV of the project is the sum of the PVs
of all flows that arise as a result of doing the project. The NPV represent the
surplus funds (after funding the investment) earned on the project, therefore:
 If the NPV is positive – the project is financially viable.

If the NPV is zero – the project breaks even (IRR).

If the NPV is negative – the project is not financially viable.

If the company has two or more mutually exclusive projects under
consideration, it should choose the one with the highest NPV.

The NPV gives the impact of the project on shareholders wealth.
Assumptions used in discounting (NPV)
Unless the examiner tells you otherwise, the following assumptions are made
about cash flows when calculating the net present value:
 All cash flows accrue at the year end.

NPV considers relevant cash flows.
A relevant cash flow is a future incremental cash flow
Non-cash items are excluded

In appraisal we assume that all units produced are sold

In appraisal we assume the project life is constant

We assume a constant tax rate.

We assume a constant discount rate.

Cash flow at the start of a particular year, should be treated in previous
prior to when they occur.

Also note, you should never include interest payments within NPV
calculations as these are taken account of by the cost of capital.

We assume a constant inflation throughout the whole year.
Advantages of using NPV

Considers the time value of money.

It’s an absolute measure of return.

It’s based on cash flows not profits.

Considers the whole life of the project.

Should lead to the maximization of shareholders wealth.
Disadvantages of using NPV

It is difficult to explain to managers.

It requires the knowledge of the cost of capital.

It is relatively complex
Impact of Inflation and Discounted Cash
flows
Real Cash flows:
Real cash flows are cash flows whereby inflation has not been considered.
They are also referred to as current or todays cash flows. They are discounted
with real discount rate.
Nominal Cash flows
Nominal cash flows are cash flows whereby inflation have been considered.
They are also referred to as money cash flows. They are discounted with
nominal or money discount rate.
The formula which relates real and money interest rates is as follows:
(1+m) = (1+r) × (1+f)
Where:
m = money rate
r = real rate
f = inflation rate
Question 1
A company is considering investing $4.5m in a project to achieve an annual
increase in revenues over the next five years of $2m.
The project will lead to an increase in wage cost of $0.4m pa and will also
require expenditure of $0.3m pa to maintain the level of existing assets to be
used on the project. Additionally investment in working capital equivalent to
10% of the increase in revenue will need to be in place at the start of each
year.
The following forecasts are made of the rates of inflation each year for the next
five years:
Revenues
10%
Wages
5%
Assets
7%
General prices
6.5%
The real cost of capital of the company is 8%. All cash flows are in real terms.
Assume corporate tax rate is 20% payable in the same year. Tax allowable
depreciation is 25% on the reducing balance basis and the balancing charge
or allowance is claimed at the end of the project. Assumed there is a scraped
value 0f $500,000 after tax at the end of the project.
Required:
Using all the methods of Investment Appraisal, determine whether the project
is worthwhile.
Question 2 Fernhurst Co. (assignment)
Fernhurst Co is a manufacturer of mobile communications technology. It is
about to launch a new communications device, the Milland, which its
directors believe is both more technologically advanced and easier to use
than devices currently offered by its rivals.
Investment in the Milland
The Milland will require a major investment in facilities. Fernhurst Co’s directors
believe that this can take place very quickly and production be started almost
immediately.
Fernhurst Co expects to sell 132,500 units of the Milland in its first year. Sales
volume is expected to increase by 20% in Year 2 and 30% in Year 3, and then
be the same in Year 4 as Year 3, as the product reaches the end of its useful
life. The initial selling price in Year 1 is expected to be $100 per unit, before
increasing with the rate of inflation annually.
The variable cost of each unit is expected to be $43·68 in year 1, rising by the
rate of inflation in subsequent years annually. Fixed costs are expected to be
$900,000 in Year 1, rising by the rate of inflation in subsequent years annually.
The initial investment in non-current assets is expected to be $16,000,000.
Fernhurst Co will also need to make an immediate investment of $1,025,000 in
working capital. The working capital will be increased annually at the start of
each of Years 2 to 4 by the inflation rate and is fully recoverable at the end of
the project’s life. Fernhurst Co will also incur one-off marketing expenditure of
$1,500,000 post inflation after the launch of the Milland. The marketing
expenditure can be assumed to be made at the end of Year 1 and be a tax
allowable expense.
Fernhurst Co pays company tax on profits at an annual rate of 25%. Tax is
payable in the year that the tax liability arises. Tax allowable depreciation is
available at 20% on the investment in non-current assets on a reducing
balance basis. A balancing adjustment will be available in Year 4. The
realisable value of the investment at the end of Year 4 is expected to be zero.
The expected annual rate of inflation in the country in which Fernhurst Co is
located is 4% in Year 1 and 5% in Years 2 to 4.
The applicable cost of capital for this investment appraisal is 11%.
Other calculations
Fernhurst Co’s finance director has indicated that besides needing a net
present value calculation based on this data for the next board meeting, he
also needs to know the figure for the project’s duration, to indicate to the
board how returns from the project will be spread over time.
Failure of launch of the Milland
The finance director would also like some simple analysis based on the
possibility that the marketing expenditure is not effective and the launch fails,
as he feels that the product’s price may be too high. He has suggested that
there is a 15% chance that the Milland will have negative net cash flows for
Year 1 of $1,000,000 or more. He would like to know by what percentage the
selling price could be reduced or increased to result in the investment having
a zero net present value, assuming demand remained the same.
Required:
(a) Evaluate the financial acceptability of the investment in the Milland and, calculate
and comment on the investment’s duration.
(b) Calculate the % change in the selling price required for the investment to have a
zero net present value, and discuss the significance of your results.
The Internal Rate of Return (IRR)
The IRR is the discount rate that will give a zero NPV
1. Compare the IRR with the company’s cost of Borrowing
Decision Rule:
If the project IRR ˃ Cost of Capital → Accept the Project
If the project IRR ˂ Cost of Capital → Reject the Project
Advantages of IRR

It considers the time value of money.

Uses cash flows not profits.

Considers the whole life of the project.

Selecting projects where the IRR exceed the cost of capital, means an
increase in shareholders wealth.
Disadvantages of IRR




It is not a measure of absolute profitability.
It is fairly complicated to calculate.
Non-conventional cash flows may give rise to multiple IRRs.
IRR assumes that the cash-flows can be reinvested at the same IRR rate.
The Modified IRR (MIRR)
To assist in remedying some of the deficiencies of IRR, a technique
called Modified Internal Rate of Return (MIRR) has been developed.
MIRR has certain advantages in that it:
Advantages of MIRR

Considers re-investment of cash flows @least at the
company’s cost of capital

Eliminates the possibility of multiple rates of return.

It considers the time value of money.

Uses cash flows not profits.

Considers the whole life of the project.
Drawbacks of MIRR

It is not a measure of absolute profitability.

It is fairly complicated to calculate.
Calculating the MIRR
Formular:
Return phase
𝟏
𝒏
𝒕𝒆𝒓𝒎𝒊𝒏𝒂𝒍 𝒗𝒂𝒍𝒖𝒆𝒔
𝑴𝑰𝑹𝑹 = (
) −𝟏
𝑷. 𝑽. 𝒐𝒇 𝒄𝒂𝒔𝒉 𝒐𝒖𝒕𝒇𝒍𝒐𝒘𝒔
Investment phase
NB: n = project life
The MIRR assumes a single inflow at Time Zero and a single inflow at the end of
the final year of the project. The procedures are as follows:

Convert all investment phase outlays as a single equivalent payment at
time zero. Where necessary, any investment phase outlays arising after
time zero must be discounted back to time zero using the company’s
cost of capital.

All net cash flows generated by the project after the initial investment
(i.e. the return phase cash flows) are converted to a single net equivalent
terminal receipt at the end of the project’s life, assuming a reinvestment
rate equal to the company’s cost of capital.
Question 3 (assignment)
A project requires an initial investment of $20,000 and will generate annual cash
flows as follows:
Years
Cash flows ($)
1
4,000
2
2,000
3
6,000
4
7,600
5
10,000
The firm’s financing rate is 6% .
Required:
What is the IRR and MIRR?
Question 3 (TRAIL WORK)
A project requires an initial investment of $20,000 and will generate annual cash
flows as follows:
Years
Cash flows ($)
1
4,000
2
(2,000)
3
6,000
4
7,600
5
10,000
The firm’s financing rate (for negative cash flows) is 9% and its reinvestment rate
for the positive cash flows is 6%.
Required:
What is the MIRR?
Duration (Macaulay Duration)
Duration is the average time taken to recover the cash flows of an investment.
(If cash flows are discounted at the cost of capital).
Duration captures both the time value of money and the whole of the cash
flows of a project. Projects with higher durations carry more risk than projects
with lower durations.
Formula for duration:
𝒔𝒖𝒎 𝒐𝒇 𝒕𝒉𝒆 𝒘𝒆𝒊𝒈𝒉𝒕𝒆𝒅 𝒗𝒂𝒍𝒖𝒆𝒔
𝒔𝒖𝒎 𝒐𝒇 𝒕𝒉𝒆 𝑷𝑽𝒔 (𝒊𝒏𝒇𝒍𝒐𝒘𝒔 𝒐𝒏𝒍𝒚)
Steps for finding Duration
1. Calculate the value of each future net cash flow, discounted at the
chosen hurdle time.
2. Calculate each year’s discounted cash flow as a proportion of the
present value of total cash inflows.
3. Take the time from investment to each discounted cash flow and
multiply by respective proportion.
4. Finally, sum the weighted year values.
The Basic lessons of “duration” are:

As maturity increases, the measure of duration will also increase and the
market value of the Bond will become none sensitive to changes in the
level of interest rates:

As the coupon rate of a Bond increases, duration will decrease and the
value of the bond will be less sensitive to change in the level of interest
rates.

As interest rates rise, duration will decrease and the value of the bond
will be less sensitive to subsequent rate changes.
Question 4
A project with the following cash flows is under consideration:
Y0
N.C.F
(127)
Y1
Y2
Y3
Y4
Y5
Y6
(37)
52
76
69
44
29
Cost of Capital 10%
Required:
Calculate the projects discounted payback period and Macaulay duration.
Question 5 GNT Co[ASSIGNMENT].
GNT Co is considering an investment in one of two corporate bonds. Both
Bonds have a par value of $1000 and pay coupon interest on an annual basis.
The market price of the first bond is $1079.68. Its coupon rate is 6% and it is due
to be redeemed at par in five years. The second Bond is about to be issued
with a coupon rate of 4% and will also be redeemable at par in five years. Both
bonds are expected to have the same gross redemption yields (yield to
maturity). GNT Co considers duration of the Bond to be a key factor when
making decisions on which bond to invest.
Required:
a. Estimate the Macaulay duration of the two bonds GNT Co is considering for
investment.
b. Discuss how useful duration is a measure of the sensitivity of a bond price to
changes in interest rates.
Question Bank for Investment Appraisal
-
Local Appraisal – Mar/Jun 2019, Ferhust Sep/Dec 2016
International Appraisal – Chmura Dec 2013, Yilandwe Jun 2015,
Tramont (Pilot 2012)
SENSITIVITY ANALYSIS
A CHANGE IN A VARIABLE AND THE EFFECT ON THE NPV. A CHANGE IN A
VARIABLE WHICH WILL CAUSEB THE NPV TO BE ZERO. CHANGES IN MORE THAN
ONE VARIABLE AND THE EFFECT ON THE NPV IS CALLED SIMULATION
SENSITIVITY ANALYSIS=NPV/PV OF THE AFFECTED VARIABLE
NOTE
IF AN INFLOW(SALES,CONTRIBUTION,SCRAP) REDUCES IN VALUE IT BECOMES
MORE SENSITIVE
IF AN OUTFLOW(INITIAL INVESTMENT,FC,VC)INCREASES IN VALUE IT BECOMES
MORE SENSITIVE
Capital Rationing
Where the finance available for capital expenditure is limited to an amount
which prevents acceptance of all new projects with a positive NPV, the
company is said to experience “capital rationing”.
CAPITAL RATIONING
Soft
Hard
- Internal factors
- External factors
• not to exceed budget limits
• fear of loss of control
• economic issues
• fear of dilution of EPS
• stringent
requirements
• fear of interst & loan
commitments
• project being too
risky
• desire to grow organic
FORMS OF CAPITAL
RATIONING
Single Period
Multi-Period
Divisible
Indivisible
Mutually
Project
Projects
Exclusive
No cashflows until the
Can't undertake 2
project is completed
projects at the same time
Can undertake a part of
the project to generate
cashflows
steps:
1. find profitability index =
NPV ÷
𝑖𝑛𝑖𝑡𝑖𝑎𝑙 𝑖𝑛𝑣𝑒𝑠𝑡𝑚𝑒𝑛𝑡
2. rank the projects
3. allocate the limited
Lack of funding for
more than 1 year
which will give the highest
function
2. state the constraints
select a combination of
projects
1. state the objective
select the project with
the highest NPV
3. interprete your results
NPV with the limited funds
[trial & error]
funds to the project
NB: When a project is making a loss, it is not considered for capital rationing
unless they can be undertaken for strategic purposes
Question 6
A company has $100,000 available for investment and has identified the
following 5 investments in which to invest. All investment be started now (Year
Zero.)
Project
Initial Investment
NPV
$’000
$’000
C
40
20
D
100
35
E
50
24
F
60
18
G
50
(10)
Required:
Determine which project should be chosen if projects are:
a) Divisible
b) Indivisible
c) Mutually-exclusive
Multi-Period Capital Rationing
Lack of funding for more than one year.
In this event, linear programming is used to determine the optimal
combinations of products
Steps:
1. State the objective function:
maximize NPV
2. State the constraints:
eg. 40C + 100D + 50E + 60F ≤ $100
C, D, E, F, ≥ 0 the non-negativity condition
3. Interpret the results
i.
total final value = maximum NPV earned with limited funds
ii.
adjustable final value = fraction or percentage of the project
completed with the limited funds
iii.
constraint utilized = portion of the limited funds used
iv.
slack = unused funds
Importance of Capital Investment Monitoring Systems (CIMs)
Every project has 3 features which must be monitored to ensure the success of
the project. These are:
1. Scope of the project – quality
2. Time – deadlines and
3. Budget – costs involved
Question 7 (assignment)
A company has identified the following independent investment projects, all
of which are divisible and exhibit constant returns to scale. No project can be
delayed or done more than once.
Project
A
Cash Flow
Y0
Y1
$000
$000
$000
$000
-10
-20
+10
+20
+20
-
-
-10
Y2
+30
Y3
Y4
$000
B
-10
C
-5
+2
+2
+2
+2
D
-
-15
-15
+20
+20
E
-20
+10
-20
F
-8
-4
+15
+20
+10
+20
-
There is only $20,000 of capital available at year zero and only $5,000 at year
one, plus the cash inflows from the projects undertaken at year zero. In each
time period thereafter, capital is freely available. The appropriate discount rate
is 10%.
Required:
Formulate the linear programme.
Question 8 Abore Co.
Arbore Co is a large listed company with many autonomous departments
operating as investment centres. It sets investment limits for each department
based on a three-year cycle. Projects selected by departments would have
to fall within the investment limits set for each of the three years. All
departments would be required to maintain a capital investment monitoring
system, and report on their findings annually to Arbore Co’s board of
directors.
The Durvo department is considering the following five investment projects
with three years of initial investment expenditure, followed by several years of
positive cash inflows. The department’s initial investment expenditure limits are
$9,000,000, $6,000,000 and $5,000,000 for years one, two and three
respectively. None of the projects can be deferred and all projects can be
scaled down but not scaled up.
Investment required at start of year
Project
Year one
Year two
Year three
(Immediately)
Project net
present value
PDur01
$4,000,000
$1,100,000
$2,400,000
$464,000
PDur02
$800,000
$2,800,000
$3,200,000
$244,000
PDur03
$3,200,000
$3,562,000
$0
$352,000
PDur04
$3,900,000
$0
$200,000
$320,000
PDur05
$2,500,000
$1,200,000
$1,400,000
Not provided
PDur05 project’s annual operating cash flows commence at the end of year
four and last for a period of 15 years.
The project generates annual sales of 300,000 units at a selling price of $14 per
unit and incurs total annual relevant costs of $3,230,000. Although the costs and
units sold of the project can be predicted with a fair degree of certainty, there
is considerable uncertainty about the unit selling price. The department uses a
required rate of return of 11% for its projects, and inflation can be ignored.
The Durvo department’s managing director is of the opinion that all projects
which return a positive net present value should be accepted and does not
understand the reason(s) why Arbore Co imposes capital rationing on its
departments. Furthermore, she is not sure why maintaining a capital investment
monitoring system would be beneficial to the company.
Required:
(a) Calculate the net present value of project PDur05. Calculate and comment on
what percentage fall in the selling price would need to occur before the net present
value falls to zero. (6 marks)
(b) Formulate an appropriate capital rationing model, based on the above investment
limits, that maximises the net present value for department Durvo. Finding a solution
for the model is not required. (3 marks)
(c) Assume the following output is produced when the capital rationing model in part
(b) above is solved:
Category 1: Total Final Value
$1,184,409
Category 2: Adjustable Final Values
Project PDur01: 0·958
Project PDur02: 0·407
Project PDur03: 0·732
Project PDur04: 0·000
Project PDur05: 1·000
Category 3:
Constraints Utilised
Year one: $9,000,000
Year two: $6,000,000
Year three: $5,000,000
Slack
Year one: $0
Year two: $0
Year three: $0
Required:
Explain the figures produced in each of the three output categories. (5 marks)
(d) Provide a brief response to the managing director’s opinions by:
(i)
(ii)
Explaining why Arbore Co may want to impose capital rationing on its
departments;
(2 marks)
Explaining the features of a capital investment monitoring system and
discussing the benefits of maintaining such a system. (4 marks)
Cost of Capital
This represents the amount that a company is incurring with respect to its
sources of finance. A firm may evaluate a project’s return using the
company’s cost of capital to establish the NPV. An entity has two main
sources of finance i.e. equity finance and debt finance.
IMPORTANCE OF WACC
-It is used in appraisal project(discount rate)
Higher WACC could lead to rejecting Good Project
Lower WACC could lead to accepting Bad Project
-It is used in Business Valuation(discount rate)
Higher WACC could lead to Lower MV of a company
Lower WACC could lead to Higher MV of a company
WACC TABLE
CAPITAL
STRUCTURE
EQUITY
DEBT
COST
MV
COST*MV
XX
XX
TOTAL
XX
XX
XX
XX
XX
XX
WACC=SUM(COST*MV)/SUM(MV)
Cost of Equity
3 models
D.V.M.
C.A.P.M.
M&M Prop 2
The cost of equity finance to the company is the return the investors expect
to achieve on their shares. The cost of equity can be estimated via:
I. The dividend valuation model (DVM)
II. The capital asset pricing model (CAPM)
III. The Modigliani and Miller Proposition 2
Cost of Equity using DVM
(where there is no growth in dividend)
𝐷𝑜
Ke= 𝑃𝑜
Ke=
𝐷𝑜(1+𝑔)
𝑃𝑜
+ 𝑔 (where dividend growing)
𝐷1
Ke= 𝑃𝑜 + g (where dividend for the first year is given)
Where:
Do = Current dividend per share
D1=Dividend to be in one year
D1=Do (1+g)
g=Constant rate of growth in dividend
Po=Current share price
Assumptions




The company will be paying dividends
The company will be paying a constant dividend into perpetuity
Where dividend is growing, it must grow at a constant fixed rate into
perpetuity.
Constant share price Ex-div. (share price after the latest dividend
payment)
Question 9
A company has a current share price of 320c per share. The company pays
dividend of 80c per share and this trend is expected to remain for the
foreseeable future.
Required:
I.
II.
Calculate the cost of equity
Calculate the cost of equity assuming dividend will grow at 3% per annum.
Ex-Div Share Price
The DVM formula assumes a share price after dividend (ex-div). If the share
price is before dividend (Cum-Div). Calculate the ex-div share price by
reducing the share price with dividend per share.
Question 10
D Co is about to pay a dividend of 15c. Shareholders expect dividends to grow
at 6% p.a. D Co current share price is $1.25.
Required:
Calculate the cost of equity of D Co
Estimating growth (g)
2 method
Past dividend
𝒈= (
Gordon’s growth model
𝒍𝒂𝒕𝒆𝒔𝒕 𝒅𝒊𝒗𝒊𝒅𝒆𝒏𝒅 𝟏/𝒏
𝒐𝒍𝒅𝒆𝒔𝒕 𝒅𝒊𝒗𝒊𝒅𝒆𝒏𝒅
)
g = br
−𝟏
Past dividend
𝑫𝒐
𝒈 = 𝒏√𝑫−𝒏 − 𝟏
Or
(
𝒍𝒂𝒕𝒆𝒔𝒕 𝒅𝒊𝒗𝒊𝒅𝒆𝒏𝒅 𝟏/𝒏
)
𝒐𝒍𝒅𝒆𝒔𝒕 𝒅𝒊𝒗𝒊𝒅𝒆𝒏𝒅
−𝟏
n= number of years of dividend growth
D0 = latest dividend paid
D-n=Oldest dividend
The Earnings Retention Model (Gordon’s growth model)
g = br
r = Accounting Rate of Return/return on investment/return on equity
b = Earnings Retention Rate
Question 11
A company currently pays a dividend of 32c. Five years ago the dividend was
20c.
Required:
Estimate the annual growth rate in dividends.
Question 12
A company has paid the following dividends per share over the last five years:
20Y0
20Y1
20Y2
20Y3
20Y4
10.0C
11.0C
12.5C
13.6C
14.5C
Required:
Calculate the average annual growth rate
Question 13 GROUP CLASS WORK
A company is about to pay an ordinary dividend of 16c share. The share price
is 200c. The accounting rate of return on equity is 12.5% and 20% of earnings
are paid out as dividends.
Required:
Calculate the cost of equity for the company.
Capital Asset Pricing Model (CAPM)
Cost of equity (ke) = Rf + βe (Rm-Rf)
Rf = Risk free rate of return
Be = equity beta
Rm = average market rate of return
Equity risk premium=Rm-Rf
Beta (βe) is a measure of a company’s systematic risk
βe > 1 risk is higher
βe < 1 risk is lower
βe=0 risk free investment [T Bill]
Be=1 Average
Systematic risk
This is risk that affects all business operations eg. inflation, high interest rates,
exchange rate fluctuations etc. This risk cannot be diversified.
Unsystematic risk
This is risk that affects a company based on the nature of its business operations.
This risk can be diversified.
Types of Betas
2 types
Beta assets
Beta equity
An entity uses the βa when its
business is financed entirely
with equity
An entity uses the βe
when it business is financed
with equity and debt
Such an entiy faces only
the business risk
Faces both financial risk and
business risk
The CAPM is Better than DVM for Two Reasons:
-
CAPM incorporate risk
The variables for CAPM are from reliable source and cannot be easily
manipulated.
Limitations of CAPM
-
Constant risk free
Constant beta
Constant return on the market
It assumes that all unsystematic risk can be diversified.
Question 14
The current average market return being paid on risky investments is 12%.
Compared with 5% on Treasury Bills. G. Co has an equity beta of 1.2.
Required:
What is the cost of equity of G. Co?
Question 15
A company has a beta equity of 1.8 and a beta asset of 1.2. The risk free rate
of interest is 4% and the return on the market is 7% with an equity risk premium
of 3%.
Required
Calculate the cost of equity, if the company is financed:
i.
Entirely by equity (business risk)
ii.
Both equity and debt ( both business risk and financial risk)
Cost of Debt
In calculating the cost of debt, first identify the type of debt.
Types of Debt
Formulas
Non traded debts (bank loans, loan Interest × (1 – tax)
notes, overdrafts)
Irredeemable preference shares
Div (nominal)
MV (or share price)
Redeemable preference shares
IRR
Redeemable bond
IRR
Convertible bond
IRR
Irredeemable bond
Int
×
(1- tax)
× 100
MV
Types of Debts
Preference Shares (Irredeemable): Preference shares have usually a constant
dividend.
𝐷
Kp= 𝑃𝑜
D= Constant annual preference dividend
Po= Ex-div MV of the share
Kp= Cost of the preference share.
Or
Kp=
𝐷(1−𝑇)
𝑀𝑉
× 100
Question 15
A company has 50,000 8% preference shares in issue, nominal value is $1 and
the market value is $1.20/share.
Required:
What is the cost of the preference shares?
Question 16
A Company has issued an irredeemable debt quoted at 105.3. It carries a
coupon rate of 8%. Assume a corporate tax rate of 20%.
Required:
Calculate the cost of debt.
Cost of Non-Traded Debt
These are debts that do not have market value .e.g. bank loan etc.
Kd = I (1-T) where;
I = interest rate
T =corporate tax rate
Question 17
A firm has a fixed rate bank loan of $1million. It is charged 11% p.a. the
corporate tax rate is 30%.
What is the cost of the bank loan?
Redeemable Debt
This is a debt where interest will be paid over a period and the principal repaid
after the end of the period. The cost of a redeemable debt is calculated by
estimating the IRR of the debt, assuming the debt as an investment.
Year
Cash flow
Y0
MV
(X)
Y1-n
Interest payment
X
n
Capital repayment
X
MV OF A DEBT IS THE PRESENT OF INTEREST AND PRINCIPAL USING THE REQUIRED
RATE OF RETURN AS THE DISCOUNT FACTOR
=IRR(FIRST CELL:LAST CELL)
Question 18
A company has in issue 12% redeemable debt with 5years to redemption.
Redemption is at par. The current market value of the debt is $107.59 per $100.
The corporation rate is 30%.
Required:
What is the return required by the debt providers (pre-tax cost of debt).
Question 19
A Company has in issue 10% loan notes with a current MV of $98 per $100. The
loan notes are due to be redeemed at 5% in six years’ time.
Required:
If corporation tax is 30%, what is the company’s post-tax cost of debt?
Convertible Debts
This is a debt which will be redeemed either in cash or in shares. The cost of a
convertible bond is the bond’s IRR with the principal or redemption being the
higher of the cash on redemption or the value of the shares on redemption.
Convertible bonds
Cash
share
Redemption value
Below par
Current
at par
˂ 100
100
conversion value
above par
No. of ordin. shares converted ×
˃100
share price × (1 + g)^ n
Question 20
A company has issued convertible loan notes which are due to be redeemed
at a 5% premium in five year’s time. The coupon rate is 8% and the current MV
is $85. Alternatively, the investor can choose to convert each loan note into 20
shares in five year’s time. The company pays tax at 30% per annum. The
company’s shares are currently worth $4 and their value is expected to grow
at a rate of 7% p.a.
Required:
Find the post-tax cost of the convertible debt to the company.
Weighted Average Cost of Capital WACC
Question 21 Batch Co.
Batch Co has $1million loan notes in issue, quoted at $50 per $100 of nominal
value; $ 625,000 preference shares of $1 each quoted at 40c and 5million
ordinary $1 shares quoted at 25c. The cost of capital of these securities is 9%,
12% and 18% respectively.
Required:
Calculate the weighted average cost of capital.
Question 22 ASSIGMENT
B Co has 10 million 25c ordinary shares in issue with a current price of 155c cum
div. an annual dividend of 9c has just been proposed. The company earns an
accounting rate of return to equity (ROE) of 10% and pays out 40% of the return
as dividends. The company also has 13% redeemable loan notes with a
nominal value of $7 million, trading $105. They are due to be redeemed at par
in five years’ time.
Required:
If the rate of corporation tax is 33%, what is the company’s WACC?
Question 40 assignment
An entity has the following information in its balance sheet (statement of
financial position):
$000
Ordinary Share (50c nominal)
2,500
Debt (8% Redeemable in 5yrs)
1,000
The entity’s equity beta is 1.25 and its credit rating according to standard and
Poor’s is A. The share price is $1.22 and the debenture price is $110 per $100
nominal.
Extract from standard and Poor’s credit spread tables:
Rating
1yr
2yrs
3yrs
5yrs
7yrs
10yrs
30yrs
AAA
5
10
15
22
27
30
55
AA
15
25
30
37
44
50
65
A
40
50
57
65
71
75
90
The risk free rate of interest is 6% and the equity risk premium is 8%. Tax is
payable at 30%.
Required:
Calculate the entity WACC.
Question 40 assignment
An entity has the following information in its balance sheet (statement of
financial position):
$000
Ordinary Share (25c nominal)
2,500
Debt (8% Redeemable in 10yrs)
1,000
The entity’s equity beta is 1.5 and its credit rating according to standard and
Poor’s is AAA. The share price is $1.75 and the debenture price is $105 per $100
nominal.
Extract from standard and Poor’s credit spread tables:
Rating
1yr
2yrs
3yrs
5yrs
7yrs
10yrs
30yrs
AAA
5
10
15
22
27
30
55
AA
15
25
30
37
44
50
65
A
40
50
57
65
71
75
90
The risk free rate of interest is 8% and the equity risk premium is 10%. Tax is
payable at 20%.
Required:
Calculate the entity WACC.
Question 23 AMH Co. ASSIGNMENT
AMH Co wishes to calculate its current cost of capital for use as a discount rate
in investment appraisal. The following financial information relates to AMH Co:
Financial position statement extracts as at 31 December 2012
$000
Equity
Ordinary shares (nominal value 50 cents)
4,000
Reserves
18,000
–––––––
Long‐term liabilities
4% Preference shares (nominal value $1)
3,000
7% Loan notes redeemable after six years
3,000
Long‐term bank loan
1,000
–––––––
$000
22,000
7,000
–––––––
29,000
–––––––
The ordinary shares of AMH Co have an ex div market value of $4.70 per
share and an ordinary dividend of 36.3 cents per share has just been paid.
Historic dividend payments have been as follows:
Year
Dividends per share (cents)
2008 2009 2010 2011
30.9 2.2
33.6 35.0
The preference shares of AMH Co are not redeemable and have an ex div
market value of 40 cents per share. The 7% loan notes are redeemable at a
5% premium to their nominal value of $100 per loan note and have an ex
interest market value of $104.50 per loan note.
The bank loan has a variable interest rate that has averaged 4% per year in
recent years. AMH Co pays corporation tax at an annual rate of 30% per year.
Required:
(a) Calculate the market value weighted average cost of capital of AMH Co.
(12 marks)
(b) Discuss why the cost of equity is greater than the cost of debt.
(3 marks)
(Total: 15 marks)
Risk-adjusted WACC (Degear & Re-gear)
Existing WACC can be used as a discount rate in project appraisal when:
1. The business risk of the new project is the same as the existing company
risk
2. The capital structure (financial risk) of the existing business is expected
to be the same as the financial risk of the new project.
If the business risk of the new project differs from the entity’s existing business
risk a Risk Adjusted WACC must be calculated.
This is done by recalculating the cost of equity to reflect the business risk of
the new project.
If the capital structure is expected to change significantly, the Adjusted
Present Value method of project appraisal could be used.
Business Risk
Same
Different
Same
WACC
Risk Adjusted WACC
Different
A.P.V.
A.P.V.
Financial Risk
Steps for Calculating a Risk-adjusted WACC
1. Find the equity beta (βe) from a suitable quoted company.
2. De-gear: convert the βe to βa using the proxy company’s capital
structure (this takes off the financial risk)
formula: 𝛽𝑎 = 𝛽𝑒 ×
𝐸
𝐸+𝐷(1−𝑡)
3. Re-gear: convert βa to βe using the existing entity’s capital structure.
4. Use this new beta (βe) in the CAPM equation to find Ke.
5. Use this Ke to find the WACC.
6. Evaluate the project.
Question 24
B plc is a hot air balloon manufacturer whose equity: debt ratio is 5:2
The company is considering a waterbed-manufacturing Project. B plc will
finance the project to maintain its existing capital structure.
S plc is a waterbed-manufacturing company, it has an equity beta of 1.59 and
Ve:Vd ratio of 2:1. The yield on B plc debt, which is assumed to be risk free, is
11%. B plc’s equity beta is 1.10. The average return on the stock market is 16%.
The corporation tax rate is 30%.
Required:
Calculate a suitable cost of capital to apply to the project.
Question 25a Moorland Co.
The directors of Moorland Co, a company which has 75% of its operations in
the retail sector and 25% in manufacturing, are trying to derive the firm’s cost
of equity. However, since the company is not listed, it has been difficult to
determine an appropriate beta factor. Instead, the following information has
been researched:
Retail Industry- quoted retailers have an average equity beta of 1.20 and an
average gearing ratio of 20:80 (debt: equity).
Manufacturing Industry – quoted manufacturing have an average equity beta
of 1.45 and an average gearing ratio of 45:55 (debt: equity).
The risk free rate is 3% and the equity risk premium is 6%. Tax on corporate profits
is 30%. Moorland Co has gearing of 50% debt and 50% equity by market values.
Assume that the risk on corporate debt is negligible.
Required:
Calculate the cost of capital of M Co using the CAPM Model.
Q25b
The directors of Moorland Co, a company which has 60% of its operations in
the retail sector and 40% in manufacturing, are trying to derive the firm’s cost
of equity. However, since the company is not listed, it has been difficult to
determine an appropriate beta factor. Instead, the following information has
been researched:
Retail Industry- quoted retailers have an average equity beta of 1.20 and an
average gearing ratio of 25:75 (debt: equity).
Manufacturing Industry – quoted manufacturing have an average equity beta
of 1.45 and an average gearing ratio of 35:65 (debt: equity).
The risk free rate is 5% and the equity risk premium is 6%. Tax on corporate profits
is 30%. Moorland Co has gearing of 30% debt and 70% equity by market values.
Assume that the risk on corporate debt is negligible.
Required:
Calculate the cost of capital of M Co using the CAPM Model.
COEDEN CO (EXTRACT)
Coeden Co is a listed company operating in the hospitality and leisure industry. Coeden Co’s board
of directors met recently to discuss a new strategy for the business. The proposal put forward was
to sell all the hotel properties that Coeden Co owns and rent them back on a long-term rental
agreement. Coeden Co would then focus solely on the provision of hotel services at these
properties under its popular brand name.
The capital structure of Coeden is 50:50 EQUITY TO DEBT and remain the same after the proposal.
Coeden Co’s current equity beta is 1.1 and it can be assumed that debt beta is 0. The risk
free rate is estimated to be 4% and the market risk premium is estimated to be 6%.
There is no beta available for companies offering just hotel services, since most companies
own their own buildings. The average asset beta for property companies has been estimated
at 0.4. It has been estimated that the hotel services business accounts for approximately 60%
of the current value of Coeden Co and the property company business accounts for the
remaining 40%.
Coeden Co’s corporation tax rate is 20%. The company spread on A+ rated bonds is 60 basis
points . After proposal Co will be rated A+.
Required:
Calculate Coeden Co’s cost of capital after implementing the proposal.
MORADA CO (GROUP ASSIGNMENT)
Morada Co is involved in offering bespoke travel services and maintenance services. The
besoke travel services account for 70% and maintenance services 30%.The first director is of
the opinion that Morada Co should reduce its debt in order to mitigate its risk and therefore
reduce its cost of capital. He proposes that the company should sell its repair and
maintenance services business unit and focus just on offering bespoke travel services and
hotel accommodation
Morada Co’s current share price is $2.88 per share and has number of share 125m and debt 120m
quoted at 104.5 per $100. The capital structure of MORADA remain the same after the proposal.
Morada Co’s equity beta is estimated at 1.2, while the asset beta of the repairs and
maintenance services business unit is estimated to be 0.65.
A tax rate of 20% is applicable to all companies. The current risk free rate of return is
estimated to be 3.8% and the market risk premium is estimated to be 7%
.ASSUME CORPORATE DEBT IS RISK FREE.
Required:
Calculate Morada Co’s cost of capital after implementing the proposal.
CAPITAL STRUCTURE THEORIES
BUSINESS RISK AND FINANCIAL RISK
Business risk affects a company due to the nature of the business operations
PESTEL
 Political(political instability ,E-levy ,taxation policies)
 Economic(dumsor ,interest rate, exchange rate,inflation,fuel prices)




Socio-cultural (occupation, population, education, taste and preferences)
Technology (IT)
Environmental (Polution, emission, recycling)
Legal(company law, employment, health and safety)
Business risk affects going concern, cash flows, reputation, profit margins
TARA FRAMEWORK(RISK MANAGEMENT TOOLS)
LOW LIKELIHOLD
HIGH LIKELIHOLD
LOW IMPACT
ACCEPT
REDUCE
HIGH IMPACT
TRANSFER
AVOID
Financial risk is the measure of proportion of debt in the company’s capital
structure .
 Liquidity risk –not being able to pay debt as and when they arise
 Credit risk-not able to take monies from debtors
 Gearing-financing higher proportion of business with debt
Direct relationship between business and financial risk. An increase in the
business risk can cause an increase in financial risk and vice versa
Gearing
Gearing means financing your business with a proportion of debt
More gearing leading to high financial risk because in event on liquidation
,debt holders will be paid before equity holders
Advantages of gearing




Tax benefits / savings (reduce WACC)
Debt is always available
Debt is cheaper
Less riskier to investors
Disadvantage




Agency problems (directors vs. shareholders)
Bankruptcy where all assets are secured on loans
Financial distress
Default risk/legal issue
FACTORS TO CONSIDER IN CHOOSING BETWEEN EQUITY OR DEBT








Availability
Cost
Control
Gearing
EPS
Tax savings
Economic situation
Security
Capital Structures Theories
1.
2.
3.
4.
Traditional theory on capital structure
Pecking order theory
M&M propositions on capital structure with no tax
M&M with tax
1. Traditional theory on capital structure
Debt is cheaper than equity
 Tax savings
 Debt has lower issue cost
 Debt is less riskier(In event of liquidation debt holder are paid first,
returns on debt is paid before return on equity)
If company should finance it business more debt ,WACC may reduce
2.Pecking order theory






Internal fund/retained earnings
Redeemable debt
Irredeemable debt
Convertible debt
Preference shares
Ordinary shares
3. M&M propositions on capital structure with no tax
Assumptions
 Assumes a perfect market ie (information symmetry or perfect market
information )
 Assumes no transaction cost
 No agency cost
 Investors are rational
 No individual dominates the market
 The debt is risk free and readily available
 Business risk is constant
 Looks at financial the business with debt
With no tax effect financing business with more will not have serious effect
WACC
4. M&M with tax
As the company gears more it’s WACC will reduce with increasing tax savings
AS the gears up to exceed debt capacity ,equity holder becomes at high risk
and begins demand more return to compensate the risk.Therefore KE increases
WACC may begin to rise
Modigliani & Miller’s Proposition 2 With Tax
As part of their theory, they derived a formula which can be used to derive a
firm’s cost of equity when the capital structure is changing:
USAGE


No betas
Company’s capital structure is changing
formula:
Keg = Keu + (1-T) (Keu-Rd) (E/D)
E and D are the market values of equity and debt respectively.
Rd is the (pre tax) return required by the debt holders.
T is the corporation tax rate
Keu is the cost of equity in an equivalent ungeared firm(Ba).
Keg is the cost of equity in the geared firm(Be).
1.DE-GEAR –TURN KEG INTO KEU (PROXY CAPITAL STRUCTURE /OLD CAPITAL
STRUCTURE )
Keu = E*Keg+ D(1-T)(Rd)
E+D(1-T)
2.RE-GAER-TURN KEU INTO KEG(EXISTING CAPITAL STRUCTURE/NEW CAPITAL
STRUCTURE)
Keg = Keu + (1-T) (Keu-Rd) (D/E)
3. KIND KD & WACC
Question 26 Moon dog Co.
Moon dog Co is a company with a 20:80 debt: equity ratio. Using CAPM, its
cost of equity has been calculated as 12%. It is considering raising some debt
finance to change its gearing ratio to 25:75 debt to equity. The expected return
to debt holders is 4% per annum and the rate of corporate tax is 30%.
Required:
Calculate the theoretical cost of equity in Moon dog Co after the refinancing.
Question 27 Mlima Co.
Mlima Co’s closest competitor is Ziwa Co, a listed company which mines metals
worldwide. Mlima Co’s directors are of the opinion that after listing Mlima Co’s
cost of capital should be based on Ziwa Co’s ungeared cost of equity. Ziwa
Co’s cost of capital is estimated at 9·4%, its geared cost of equity is estimated
at 16·83% and its pre-tax cost of debt is estimated at 4·76%. These costs are
based on a capital structure comprising of 200 million shares, trading at $7
each, and $1,700 million 5% irredeemable bonds, trading at $105 per $100. Both
Ziwa Co and Mlima Co pay tax at an annual rate of 25% on their taxable profits.
Required:
Explain why Mlima Co’s directors are of the opinion that Mlima Co’s cost of capital
should be based on Ziwa Co’s ungeared cost of equity and, showing relevant
calculations, estimate an appropriate cost of capital for Mlima Co;
TIP
TIPPLETINE(MJ 2018)
Humabuz Co is a large manufacturer of office equipment in Valliland.
Humabuz Co’s geared cost of equity is estimated to be 10.5% and its pretax cost of debt to be 5.4%. These estimates are based on a capital
structure comprising $225 million 6% irredeemable bonds, trading at
$107 per $100, and 125 million $1 equity shares, trading at $3.20 per
share. Humabuz Co also pays tax at an annual rate of 30% on its taxable
profits.
Question 28 Tisa Co. (assignment)
Tisa Co is considering an opportunity to produce an innovative component
which, when fitted into motor vehicle engines, will enable them to utilise fuel
more efficiently. The component can be manufactured using either process
Omega or process Zeta. Although this is an entirely new line of business for Tisa
Co, it is of the opinion that developing either process over a period of four years
and then selling the productions rights at the end of four years to another
company may prove lucrative.
The annual after-tax cash flows for each process are as follows:
Process Omega
Year
0
After-tax cash flows (3,800)
1
1,220
Process Zeta
Year
0
After-tax cash flows (3,800)
1
643
2
1,153
3
1,386
2
546
3
1,055
4
3,829
4
5,990
Tisa Co has 10 million 50c shares trading at 180c each. Its loans have a current
value of $3.6 million and an average after-tax cost of debt of 4.50%. Tisa Co’s
capital structure is unlikely to change significantly following the investment in
either process.
Elfu Co manufactures electronic parts for cars including the production of a
component similar to the one being considered by Tisa Co. Elfu Co’s equity
beta is 1.40, and it is estimated that the equivalent equity beta for its other
activities, excluding the component production, is 1.25. Elfu Co has 400 million
25c shares in issue trading at 120c each. Its debt finance consists of variable
rate loans redeemable in seven years. The loans paying interest at base rate
plus 120 basis points have a current value of $96 million. It can be assumed that
80% of Elfu Co’s debt finance and 75% of Elfu Co’s equity finance can be
attributed to other activities excluding the component production. Both
companies pay annual corporation tax at a rate of 25%. The current base rate
is 3.5% and the market risk premium
is estimated at 5.8%.
Required:
(a) Provide a reasoned estimate of the cost of capital that Tisa Co should use to
calculate the net present value of the two processes. Include all relevant
calculations. (8 marks)
(b) Calculate the net present value (NPV), the internal rate of return (IRR) and the
modified internal rate of return (MIRR) for Process Omega. Given that the NPV, IRR
and MIRR of Process Zeta are $1.64 million, 26.6% and 23.3% respectively,
recommend which process, if any, Tisa Co should proceed with and explain your
recommendation. (12 marks)
(c) Elfu Co has estimated an annual standard deviation of $800,000 on one of its
other projects, based on a normal distribution of returns. The average annual return
on this project is $2,200,000.
Required:
Estimate the project’s Value at Risk (VAR) at a 99% confidence level for one year and
over the project’s life of five years. Explain what is meant by the answers obtained.
Question Bank for Risk Adjusted WACC
Morada Sep/Dec 2016
Coeden Dec 2012
Tisa Jun 2012
Makonis Dec 2013
Rivere Dec 2014
Adjusted Present
Value (APV)
The APV method evaluates the project and the impact of financing
separating. Hence, it can be used if a new project has a different financial risk
(debt-equity ratio) from the company. i.e. the overall capital structure of the
company changes.
APV consists of two different elements.
APV
=
Base case NPV
Value



 of

 an



 all

 equity 


 financed 


 project 
Value 


a

 of



 geared 
 project 


+
Financing Impact
 present 


 value

 of



 financing 
 side



 effects. 


If the company’s capital structure will change then the APV must be used
instead of NPV
The Financing Side-effects
1. Isssue costs
Assume the money needed is the net amount
eg. if the issue cost is 3%, to find the issue cost is:
3
97
× 𝑙𝑜𝑎𝑛 𝑎𝑚𝑜𝑢𝑛𝑡
Issue cost may be tax allowable, meaning tax savings can be enjoyed.
The more the issue cost the more tax savings.
2. PV of TAX SAVINGS on INTEREST on DEBT
3. PV of Post tax Interest saved on Cheap loan
Situations where APV is better than NPV
The APV method may be better than NPV because:
1. There is a significant change in capital structure of the company as a
result of the investment.
2. There are subsidized loans or other benefits (grants) associated explicitly
with an individual project and which requires discounting at different
rate rather than applied to the mainstream cash flows.
3. The investment involves complex tax payment and tax allowances, and
or has periods when taxation is not paid.
4. The operation risk of the company changes as a result of the investment.
Practical Problems of the APV Approach
1. Determine a suitable cost of equity for the initial DCF computation as if
the project was all equity financed, and also establishing the all equity
beta are still based M&M assumptions.
2. Difficulties in identifying all the cost associated with the method of
financing.
3. Difficulties in choosing the correct discount rate used to discount the side
effects such as issue cost and the corporation tax savings on debt capital
interest. Although the risk free rate of return or the normal borrowing rate
can be assumed.
4. In complex investment decisions the calculations can be extremely long
and hence more difficult.
Question 29 Blades Co.
Blades Co is considering diversifying its operations away from its main area of
business (food manufacturing) into plastics business. It wishes to evaluate an
investment project, which involves the purchase of a moulding machine that
costs $450,000. The project is expected to produce net annual operating cash
flows of $220,000 for each of the three years of its life. At the end if this time its
scrap value will be zero.
The assets of the project can support debt finance of 40% of its initial cost
(including issue costs). Blades is considering borrowing this amount from two
different sources.
First, a local government organization has offered to lend $90,000, with no issue
costs, at a subsidized interest rate of 3% per annum. The full $90,000 would be
repayable after 3 years.
The rest of the debt would be provided by the bank, at Blades’ normal interest
rate. This bank loan would repaid in three equal annual installments.
The balance of finance will be provided by a placing of new equity.
Issue costs will be 5% of funds raised for the equity placing and 2% for the bank
loan. Debt issue costs are allowable for corporation tax.
The plastics industry has an average equity beta of 1.368 and an average debt:
equity ratio of 1.5 at market values. Blades’ current equity beta is 1.8 and 20%
of its long-term capital is represented by debt which is generally regarded to
be risk-free.
The risk-free rate is 10% pa and the expected return on an average market
portfolio is 15%.
Corporation tax is at a rate of 30%, payable in the same year. The machine will
attract a 70% initial tax allowable depreciation allowance and the balance is
to be written off evenly over the remainder of the asset life and is allowable
against tax. The firm is certain that it will earn sufficient profits against which to
offset these allowances.
Required:
Calculate the adjusted present value and determine whether project worthwhile.
Question 30 Strayer assignment
The managers of Strayer Inc. are investigating a potential $25 million
investment. The investment would be a diversification away from existing
mainstream activities and into the printing industry. $6 million of the investment
would be financed by internal funds, $10 million by a rights issue and $9 million
by long-term loans. The investment is expected to generate pre-tax net cash
flows of approximately $5 million per year, for a period of ten years. The residual
value at the end of Year 10 is forecast to be $5 million after tax. As the
investment is in an area that the government wishes to develop, a subsidized
loan of
$4 million out of the total $9 million is available. This will cost 2% below the
company’s normal cost of long-term debt finance, which is 8%.
Strayer’s equity beta is 0.85, and its financial gearing is 60% equity, 40% debt by
market value. The average equity beta in the printing industry is 1.2, and
average gearing 50% equity, 50% debt by market value. The risk-free rate is
5.5% per annum and the market return 12% per annum. Issue costs are
estimated to be 1% for debt financing (excluding the subsidised loan), and 4%
for equity financing. These costs are not tax allowable.
The corporate tax rate is 30%.
Required:
(a) Estimate the Adjusted Present Value (APV) of the proposed investment. (12 marks)
(b) Explain the difference between APV and NPV as methods of investment appraisal
and comment upon the circumstances under which APV might be a better method of
evaluating a capital investment than NPV. (5 marks)
(c) Explain the major differences between Islamic finance and other conventional
forms of finance such as those being considered by Strayer. Identify, and briefly
discuss, two Islamic financial instruments that could be of use to Strayer in the above
situation. (8 marks)
Question bank for APV
Burung Jun 2014
Q2 Mar/Jun 2018
Q3 Dec 2018
Strayer Jun 2002
Tramont Pilot 2012
International
Investment Appraisal
Question Bank for International Appraisal
Yilandwe
Chmura
Tramont
Sep 2018 Q1
This is when you appraise a project outside of your home jurisdiction.
Reasons why companies consider international investments:







Access to cheaper materials
Access to cheaper labour
There may be government support
Increase in demand or sales
Cheaper overheads
Tax benefits or savings
It is a way for risk diversification
Barriers to Overseas International Investments



Currency risk
Political risks
Language barriers



Competition
Culture
Trade barriers (tariffs, quotas etc)
The World Trade Organisation (WTO)
The main aim of the WTO is to remove or reduce barriers to international trade
among member states to encourage free trade among member states.
Benefits of the WTO






Increase in sales
Encourage competitions
Lead to specialization
Reduce retaliation from govt
Encourage govt support
Access to cheap material & labour
Drawbacks of removing protectionist measures



Dumping of inferior goods at cheap prices
It could kill local businesses
Create unemployment
Benefits of having a direct investment instead of licensing





The company can easily control the quality of its products
The company can maintain the confidentiality of its products
It offers an opportunity for risk diversification
It also offers an opportunity for follow-on projects
Govt support
Drawbacks of having a direct investment instead of licensing






Cost of recruitment and training
No Learning curve effects.
Higher upfront costs
Political risk
Culture risk
Difficult to exit
Issues to be considered when doing an International Appraisal
1. Additional Taxation i.e. if the foreign tax rate is less than the home tax rate
The additional tax should always be based on the same taxable cash flows from the
foreign business.
2. Predicting exchange rates
3. Management charges or royalties
4. Remittance block
Predicting
Exchange Rates:
2 methods
PPPT
IRPT
- Purchasing
Power Parity
Theory
- Interest Rate
Parity theory
The 2 methods both use the same formula:
𝑺𝒊 = 𝑺𝒐 × (
𝟏 + 𝒊𝒇
)
𝟏 + 𝒊𝒉
where:
Si = future exchange rate
So = current or spot rate
if = inflation or interest rate in foreign country
ih = inflation or interest rate in home country
The formula works with the indirect quoting where the home currency is one.
Quoting Exchange
Rates
Direct Quoting - as
used in Ghana
The foreign
currency is 1 &
home is more or
less than 1
Indirect Quoting
The home
currency is 1 &
foreign is more or
less than 1
Question 31
The current dollar sterling Exchange rate is given as $/£ 1.7025-1.7075
Expected Inflation rates are:
Year
U.S.A
U.K
1
5%
2%
2
3%
4%
3
4%
4%
Required:
Use the relationships above to work out the Expected spot rate for the next three years.
Question 32
The Spot Exchange rate is €1.5325 to £1.
Expected inflation rates are:
Year
Europe
U.K
1
3%
1%
2
1%
4%
3
2%
3%
Required:
Use the relations above to work out the expected spot rate for the next three years.
Cross Rates
You may not be given the Exchange rate you need for a particular currency,
but instead be given the relationship it has with a different currency. You will
then need to calculate a cross a cross rate.
For example, if you have a rate in $/£ and a rate in €/£, you can derive a cross
rate for $/£ dividing the $/£ rate by the €/£ rate.
Question 33
A UK company has a Greek subsidiary which is to purchase materials costing
$100,000. The NPV of the overseas cash flows is being calculated in euros, but
you have not been provided with euro/dollar exchange rate.
Instead you have the following information:
$/£
1.90
€/£
1.45
Required:
Calculate the value of the purchase in euros?
Question 34
The current rate of inflation in Costovia is 65%. Government is helping to reduce
this rate each by 10% of the previous rate. The Costovian peso/dollar rate is
currently142-146 and the inflation rate in the US over the next three years is
expected to be 4%, 3.5% and 3% respectively.
Required:
Calculate the Exchange rate for the Costovian peso against the dollar for the next
three years.
Question 35 Parrott Co.
Parrott Co is a UK based company. It is considering a 3 year project in Farland.
The project will require an initial investment of 81m Farland Florins (FFI) and will
have a residual value of 10m FFI.
The project’s pretax net FFI inflows are expected to be:
Year 1
35m
Year 2
80m
Year 3
50m
The UK parent company will charge the overseas project with £2m of
management charges each year.
The current spot rate is 5FFI - £1. UK inflation is expected to be 4% per annum,
and Farland inflation is expected to be 7% per annum.
Farland tax is 20% and is paid immediately. Any losses are carried forward and
netted off the first available profits for tax purposes. Tax allowable depreciation
will be granted on a straight line basis, and any residual value will be taxable
at 20%. UK tax is 30% and is payable 1 year in arrears.
Parrott Co recently undertook a similar risk project in the UK and used 11% as a
suitable discount rate.
Required:
Calculate the NPV of the project in £.
Question 36 Puxty Plc.
Puxty Plc. is a specialist manufacturer of window frames. Its main UK
manufacturing operation is based in the south of England, from where it
distributes its products throughout the UK.
The directors are now considering whether they should open up an additional
manufacturing operation in France - which they believe there will be a good
market for their products.
A suitable factory has been located just outside Paris that could be rented on
a 5-year lease at an annual charge of €3.8m, payable each year in advance.
The manufacturing equipment would cost €75m, of which €60m would have to
be paid at the start of the project, with the balance payable 12 months later.
At the start of each year the French factory would require working capital
equal to 40% of that year's sales revenues. It is expected that the factory will be
able to produce and sell 80,000 window units per year although, in the first year,
because of the need to 'run in' the machinery and its workforce, output is only
expected to be 50,000 window units. Each window is likely to be sold for €750,
a price that represents a 150% mark-up on cash production costs.
The French factory would be set up as a wholly-owned subsidiary of Puxty Pic.
In France, 25% straight-line depreciation on cost is an allowable expense
against company tax. Corporation tax is payable at 40% at each year-end
without delay and any unused losses can be brought forward for set off against
the following year's profits. No UK tax would be payable on the after-tax French
profits.
All amounts in € are given in current terms. Annual inflation in French is
expected to run at 6% per year in the foreseeable future. All FF cash flows
involved are expected to increase in line with this inflation rate, with the
exception of the factory rental and the cost of the manufacturing equipment,
both of which would remain unchanged.
The French factory would be producing windows to a special design patented
by Puxty. To protect its patent rights, Puxty Pic will charge its French subsidiary
a fixed royalty of £20 per window. This cost would be allowable against the
subsidiary's French tax liability.
The current €/£ spot rate is 1.5. Inflation in the UK is expected to be 4% per year
over the period. There are no cash flow remittance restrictions between France
and the UK.
Puxty Pic is an all-equity financed company that is quoted on the London Stock
Exchange. Its shares have a beta value of 1.25. The current annual return on UK
Government Treasury Bills is 10% and the expected return on the market is 18%.
In the UK Corporation Tax is payable at 35%, one year in arrears.
Puxty operates on a 5-year planning horizon. At the end of five years, assume
that working capital would be fully recovered and the production equipment
would have a scrap value, at that time, of €70m before tax. Proceeds on asset
sales are taxed at 40%. Assume all cash flows arise at the end of the year to
which they relate, unless otherwise stated.
Required:
Evaluate the proposed investment in France and recommend what investment
decision should be made by Puxty pic. State clearly any assumptions you make and
work all calculations rounded to nearest 1 0,000 (either € or £) - i.e. €O.01 m or £0.01
m.
BOND VALUATION
Question bank for Bonds
Toltuck Mar/Jun 2017
GNT Pilot 2012
Kenand
Levante Dec 2011
Conejo Sep/Dec 2017
A bond is a long term traded debt
Areas to take note of:






MV or Market Value of bonds
Coupon Rate
Yield or return to maturity (IRR or spread table)
Duration of bonds
Modified duration of bonds
Bond theories
BONDS
Yield Curve
Factors that affect the
yield curve
Normal
- Market Segmentation
- Liquidity Preference
Inverse
Criteria for credit rating
- Expectation theory
1. Industry Risk
2. Earnings Protection Risk
3. Financial Flexibility
4. Mgt. Performance
Flat
The Theories
1. Yield Curve
This is an analyses of the relationship between the return or yield of the bond
and the time, period or duration of a debt or bond.
Types of Yield Curves
Normal Yield Curve
As the time increases, the return on the debt also increases.
return
time
Inverse Curve
As the time increases, the returns decrease.
return
time
Flat
The same return is charged regardless of the period or time
return
time
2. Factors that affect the Yield Curve
i.
Market Segmentation Theory
The interest rate depends on demand and supply for debt or loans.
The more the demand for debts, the higher the interest rates will be
and vice versa.
ii.
Liquidity Preference Theory
If the investor has a natural preference for liquid capital to meet its
day-to-day activities, then the interest rate will increase. If the
investor has more capital available for investment, then lower rates
will be charged.
iii.
Expectation Theory
If the investor expects that interest rates will rise in the future, then
loans will be given at higher rates. If the investor expects the interest
rates to fall in the future, then loans will be given today at a lower
rate.
3. Criteria for Credit Rating
Industry Risk
This considers how the industry is performing in terms of changes in the
environment.
-Seasonal variations can affect the rating.
-Changes in consumer preference can affect the rating.
-Economic downturn
Earnings Protection Risk
This considers how the business is able to maintain its earnings in times of
changing environment or in the event of an economic downturn. It
considers:
-
the customer base; the more customers the better
Sources of income
Profitability i.e. ROCE, Net Profit margin, etc, f the margins are
increasing in times of changing environment, then the rating will be
higher.
Financial Flexibility
This considers how the company is able to assess its loans. It considers:
- The company’s relationship with its bankers.
- Sources of obtaining funds
- Restrictive covenants, the more restrictions, the lower the rating
Management Performance
How managers manage the operations of the business.
-
Management level of qualification and experience
Succession planning
Future plans & policies
The Market Value (MV) of Bonds
The market value of a bond is the present value of the interest and the
principal using the required rate of return or the yield to maturity (IRR) as the
discount factor.
The MV is an estimation or is theoretical valuation
The lower the yield on the market, the higher the MV and vice versa
As the investor charges a coupon rate that is higher than the MV then the
investor gain and vice versa.
The Coupon Rate – actual interest to be paid.
Yield or Return to maturity (Required rate of return) – effective market rate
Duration of Bonds
The duration is the average time needed to generate the cash flows in
present value terms to repay the bond.
Advantages
-
It considers the time value of money
It considers all cash flows.
𝐷𝑢𝑟𝑎𝑡𝑖𝑜𝑛 =
𝑠𝑢𝑚 𝑜𝑓 𝑡ℎ𝑒 𝑤𝑒𝑖𝑔ℎ𝑡𝑒𝑑 𝑣𝑎𝑙𝑢𝑒𝑠
𝑠𝑢𝑚 𝑜𝑓 𝑡ℎ𝑒 𝑃𝑉𝑠 (𝑓𝑜𝑟 𝑏𝑜𝑛𝑑𝑠 𝑡ℎ𝑖𝑠 𝑖𝑠 𝑡ℎ𝑒 𝑠𝑎𝑚𝑒 𝑎𝑠 𝑀𝑉)
Modified Duration
This measures the changes in the interest rate/yield and the effects on the MV
of the bond. It also measures the interest rate sensitivity on the bond.
An increase in the yield on the market will lead to a decrease in the MV of the
bond and vice versa.
Modified Duration =
𝐷𝑢𝑟𝑎𝑡𝑖𝑜𝑛
1+𝑟
where r is the original yield to maturity
Change in the MV = Change in yield x Modified Duration x original MV
Question 1
-Coupon rate 5%
-Yield 6%
-Redeemable @ par ($100) in 3yrs time.
Required:
What is MV of the bond?
Question 2
-Coupon rate 5%
-Yield 4%
-Redeemable @ par ($100) in 3yrs time.
Required:
What is MV of the bond?
Question 3
-Coupon rate ?%
-Yield 6%
-Redeemable @ par ($100) in 3yrs time.
-MV of the bond is $97.33
Required:
What is the coupon rate?
Question 4
-Coupon rate ?%
-Yield 4%
-Redeemable @ par ($100) in 3yrs time.
-MV of the bond is $102.77
Required:
What is the coupon rate?
Question 5a
-Coupon rate 5%
-Yield ?%
-Redeemable @ par ($100) in 3yrs time.
-MV of the bond is $97.33
Required:
What is the yield to maturity?
Question 5b
-Coupon rate 5%
-Yield ?%
-Redeemable @ 10% premium in 7yrs time.
-MV of the bond is $107.33
Required:
What is the yield to maturity?
Question 6
-Coupon rate 5%
-Yield 6%
-Redeemable @ par ($100) in 3yrs time.
Required:
What is the duration of the bond?
Question
-Coupon rate 5%
-Yield 6%
-Redeemable @ par ($100) in 3yrs time.
Required:
What is the modified duration of the bond & explain your answer?
Question
GNT Co is considering an investment in one of two corporate bonds. Both
Bonds have a par value of $1000 and pay coupon interest on an annual basis.
The market price of the first bond is $1079.68. Its coupon rate is 6% and it is due
to be redeemed at par in five years. The second Bond is about to be issued
with a coupon rate of 4% and will also be redeemable at par in five years. Both
bonds are expected to have the same gross redemption yields (yield to
maturity). GNT Co considers duration of the Bond to be a key factor when
making decisions on which bond to invest.
Required:
a. Estimate the Macaulay duration of the two bonds GNT Co is considering for
investment.
b. Discuss how useful duration is a measure of the sensitivity of a bond price to
changes in interest rates.
Credit Spread
An alternative technique used in paper P4 for deriving cost of debt is based
on an awareness of credit spread (sometimes referred to as the “default risk
premium” and the formula:
Kd (1-T) = (Risk free rate + credit spread) (1-t)
The credit spreads are generally calculated by a credit rating agency and
presented in a table like the one below. Credit or default risk is the
uncertainty surrounding a firm’s ability to service its debts and obligations. It
can be defined as the risk borne by a lender that the borrower will default
either on interest payments, the repayment of the borrowing at the due date
or both.
Rating Risk of default
AAA
AA
A
BBB
BB
B
CCC
CC
C
Highest quality – zero risk
High quality – very little risk
Strong – minimal risk
Medium grade – low but clear risk
Speculative – marginal
Significant risk exposure
Considerable risk exposure
Highly speculative – very high risk of failure
In default – very high likelihood
Table of credit spreads for industrial company bonds:
Rating
1yr
2yrs
3yrs
5yrs
7yrs
10yrs
30yrs
AAA
5
10
15
22
27
30
55
AA
15
25
30
37
44
50
65
A
40
50
57
65
71
BBB
65
80
88
95
BB
210
235
240
250
75
90
126
149
175
265
275
290
B
375
402
415
425
440
440
450
Question 37a
The current 4-year risk free return is 26%. F plc has 4-year bonds in issue but has
an AA rating.
Required:
a. Calculate the expected yield on ‘F’ bonds.
b. Find F’s post tax cost of debt associated with these bonds if the rate of
corporation tax is 30%.
Question 37b
The current 9-year risk free return is 26%. F plc has 9-year bonds in issue but has
an AAA rating.
Required:
a. Calculate the expected yield on ‘F’ bonds.
b. Find F’s post tax cost of debt associated with these bonds if the rate of
corporation tax is 30%.
Question 38 Landline Co.
Landline Co has an A credit rating. It has $30m of 2years bond in issue, which
are trading at $90%and $50m of 10year bond which are trading at $108%.
The risk free rate is 2.5% and the corporation tax rate is 30%.
Required:
Calculate the company’s post tax cost of debt capital?
Question 39
The spot yield curve for government bond is:
Year
%
1
3.5
2
3.65
3
3.80
The following table of credit spreads (in basis points) is presented by standard
and poor’s:
Rating
1year
2years
3years
AAA
14
25
38
AA
29
41
55
A
46
60
76
Required:
a. Estimate the individual yield curve for Stone Co, an A rated company.
b. Estimate the market value of a 6% bond redeemable at a premium of 10% in
3years time.
c. Duration of the bond as in requirement b:
i)
Based on interest payable annually and principal at maturity date.
ii)
Based on fixed equal annual installments (both interest and principal)
Question 40 assignment
An entity has the following information in its balance sheet (statement of
financial position):
$000
Ordinary Share (50c nominal)
2,500
Debt (8% Redeemable in 5yrs)
1,000
The entity’s equity beta is 1.25 and its credit rating according to standard and
Poor’s is A. The share price is $1.22 and the debenture price is $110 per $100
nominal.
Extract from standard and Poor’s credit spread tables:
Rating
1yr
2yrs
3yrs
5yrs
7yrs
10yrs
30yrs
AAA
5
10
15
22
27
30
55
AA
15
25
30
37
44
50
65
A
40
50
57
65
71
75
90
The risk free rate of interest is 6% and the equity risk premium is 8%. Tax is
payable at 30%.
Required:
Calculate the entity WACC.
Question 41 Kenand Co.
Kenand Co has a cash surplus of $1m, which the financial manager is keen to
invest in corporate bonds. He has identified two potential investment
opportunities, in two different companies which are both rated A by the major
credit rating agencies:
Option 1:
AB Co has $100m of bonds already in issue. The bonds carry a coupon rate of
5% per annum, and the financial press is reporting that the bonds have a bid
yield of 6.2% per annum. The bonds are redeemable at a 10% premium to
nominal value in 4 years.
Option 2:
XY Co is about to issue $50m of 3 year bonds with a coupon rate of 4% per
annum. The bonds will be redeemable at par in 3 years. The annual spot yield
curve for government bonds is:
1 year 3.54%
2 year 4.01%
3 year 4.70%
4 year 5.60%
Extract from a major credit rating agency’s website:
Table of spreads (in basis points)
Rating
1 year
2 year
AAA
5
18
AA
16
30
A
26
39
3 year
29
42
50
4 year
40
50
60
Required:
i.
Calculate the theoretical market value of a $100 bond in AB Co, and the
theoretical issue price of a $100 bond in XY Co. Calculate how many bonds
Kenand Co will be able to buy with its $1m. (6 marks)
ii.
Estimate the Macaulay duration of the AB Co bonds and the XY Co bonds, and
interpret your results. (8 marks)
Question 42 Levante Co.
Levante Co. has identified a new project for which it will need to increase its
long-term borrowings from $250 million to $400 million. This amount will cover a
significant proportion of the total cost of the project and the rest of the funds
will come from cash held by the company.
The current $250 million borrowing is in the form of a 4% bond which is trading
at $98.71 per $100 and is due to be redeemed at par in three years. The
issued bond has a credit rating of AA. The new borrowing will also be raised in
the form of a traded bond with a par value of $100 per unit. It is anticipated
that the new project will generate sufficient cash flows to be able to redeem
the new bond at $100 par value per unit in five years. It can be assumed that
coupons on both bonds are paid annually.
Both bonds would be ranked equally for payment in the event of default and
the directors expect that as a result of the new issue, the credit rating for both
bonds will fall to A. The directors are considering the following two alternative
options when issuing the new bond:
i.
Issue the new bond at a fixed coupon of 5% but at a premium or
discount, whichever
is appropriate to ensure full take up of the bond; or
ii.
Issue the new bond at a coupon rate where the issue price of the new
bond will be
$100 per unit and equal to its par value.
The following extracts are provided on the current government bond yield
curve and yield
spreads for the sector in which Levante Co. operates:
Current Government Bond Yield Curve
Years
1
2
3
2%
3.7%
4.2%
4
4.8%
5
5.0%
Yield spreads (in basis points)
Bond Rating 1 year
2 years
AAA
5
9
AA
16
22
A
65
76
BBB
102
121
4 years
19
40
100
167
5 years
25
47
112
193
3 years
14
30
87
142
Required:
a) Calculate the expected percentage fall in the market value of the existing
bond if Levante Co’s bond credit rating falls from AA to A.
(3 marks)
b) Advise the directors on the financial implications of choosing each of the two
options when issuing the new bond. Support the advice with appropriate
calculations.
(7 marks)
c) Among the criteria used by credit agencies for establishing a company’s
credit rating are the following: industry risk, earnings protection, financial
flexibility and evaluation of the company’s management. Briefly explain each
criterion and suggest factors that could be used to assess it.
(8 marks)
d) Discuss the importance to a company of recognising all of its stakeholders
when making a new project investment decision.
(7 marks).
Question bank for Bonds
Toltuck Mar/Jun 2017
GNT Pilot 2012
Kenand
Levante Dec 2011
Conejo Sep/Dec 2017
BUSINESS VALUATION
This means placing a value on a business
Value of a business is also called Market Capitalization
𝑴𝒂𝒓𝒌𝒆𝒕 𝑪𝒂𝒑𝒊𝒕𝒂𝒍𝒊𝒔𝒂𝒕𝒊𝒐𝒏 = 𝒏𝒐. 𝒐𝒇 𝒔𝒉𝒂𝒓𝒆𝒔 × 𝒄𝒖𝒓𝒓𝒆𝒏𝒕 𝒔𝒉𝒂𝒓𝒆 𝒑𝒓𝒊𝒄𝒆
Methods of finding the Share Price
1. DVM Dividend Valuation Method (based on dividends)
2. P/E ratio method (based on profits) or Earnings Yield Method
3. Net Asset Based Valuation (based on assets)
4. Free cash flow method (cash)
Reasons for Business Valuation
1. To establish the terms to take over bids or mergers.
2. To fix a share price for an initial public offering (IPO)
3. For investors to make buy, hold or sell decisions
4. For capital gains tax or inheritance tax purposes.
5. Where a major shareholder or director wishes to dispose of a large block
of shares.
6. When the company needs to raise additional finance.
7. Upon restructuring
8. Upon management Buy-in or management Buy-out
Management Buy In
It is when managers from outside the business team up together to buy a
company.
Management Buy Out
It is when the current managers of an existing company decide to buy the
company from existing shareholders.
Advantages of management Buy Out / Disadvantages of management Buy In
1. The existing company’s culture is retained.
2. The managers possess in-depth or cumulative knowledge about the
company so they can run the company without facing problems
compared to outside managers.
3. Employee and managers mostly retain their jobs i.e. job security.
4. Doesn’t disrupt business operations.
Advantages of management Buy In / Disadvantages of management Buy Out
1. Intention to sell business thus they mismanage the business to reduce
value of company.
2. No new or fresh idea are brought into the company.
3. Any conflicts or disagreements still remain in the company.
4. Leads to leverage capital i.e. raise debt finance to acquire a company.
Reverse Takeover
It is the process by which a smaller listed company acquires a larger unlisted
company through a share for share exchange. After the acquisition the larger
unlisted company would have majority shares in the smaller listed company
thereby obtaining control over the smaller listed company.
Advantages
1. Quicker way to obtain listing
2. Relatively cheaper
3. In event of economic crisis it’s better to obtain listing through a reverse
takeover.
4. Less stringent requirement
Disadvantages
1. Leads to acquiring a company which has hidden contingent liabilities.
2. Leads to culture problems.
3. Lack of skills & Expertise to run listed company
4. There can be compliance risk
5. Share price of the company might go down
6. Challenges in raising funds in the future.
Methods of Business Valuation
Dividend Valuation Method DVM
where there is growth in dividend
𝑃𝑜 =
𝐷𝑜(1 + 𝑔)
𝑘𝑒 − 𝑔
where there is no growth in dividend
𝑃𝑜 =
𝐷𝑜
𝑘𝑒
where next year’s dividend is given
𝑃𝑜 =
𝐷1
𝑘𝑒 − 𝑔
Po= Value of company
g= Annual growth rate
ke shareholders required return or cost of equity.
NB: Market capitalization = Po x no. of ordinary shares.
Assumptions of the DVM
- The company should be paying dividends
- There must be constant dividend to perpetuity
- When dividend is growing it must grow at a constant rate to perpetuity
- The cost of equity ke must be greater than the dividend growth.
- Issue cost or transaction cost is ignored
Question 43
A company has the following financial information available:
Share capital in issue. 4million ordinary shares at par value of 50c
Current dividend per share (just paid) 24c dividend four years ago 15.25c
Current equity beta 0.8. You also have the following market information
Current market returns 15% risk-free rate 8%.
Required:
Find the market capitalization of the company.
Question 44
A company has the following financial information available. Share
capital in issue 2million ordinary shares at a par value of $1.
Current dividend per share (just paid) 18c
Current EPS 25c
Current return earned on assets 20%
Current equity beta 1.1
You also have the following market information:
Current market returns 12%
Risk-free rate 5%
Required:
Find the market capitalization of the company.
Question 45
C plc has just paid a dividend of 25₵ per share. The return on equities in this risk
class is 20%.
Required:
Calculate the value of the shares assuming:
(i)
no growth in dividends
(ii)
constant growth of 5% pa
(iii)
constant dividends for 5 years and then growth of 5% pa to perpertuity.
Question 46
C plc has just paid a dividend of 32₵ per share. The return on equities in this risk
class is 16%.
Required:
Calculate the value of the shares, assuming constant dividends for 3 years and then
growth of 4% pa to perpetuity.
The P/E ratio method
for price of a single share
Price = P/E ratio x EPS
𝐄𝐏𝐒 =
𝑷𝑨𝑻 − 𝒑𝒓𝒆𝒇𝒆𝒓𝒆𝒏𝒄𝒆 𝒅𝒊𝒗𝒊𝒅𝒆𝒏𝒅
𝒏𝒐. 𝒐𝒇 𝒔𝒉𝒂𝒓𝒆𝒔
Total equity value = P/E ratio x earnings
The earnings yield is the reciprocal of the P/E ratio
For the price of a single share
𝐏𝐫𝐢𝐜𝐞 =
𝑬𝑷𝑺
𝑬𝒂𝒓𝒏𝒊𝒏𝒈𝒔 𝒀𝒊𝒆𝒍𝒅
𝐓𝐨𝐭𝐚𝐥 𝐞𝐪𝐮𝐢𝐭𝐲 𝐯𝐚𝐥𝐮𝐞 𝐨𝐟 𝐛𝐮𝐬𝐢𝐧𝐞𝐬𝐬 =
𝒆𝒂𝒓𝒏𝒊𝒏𝒈𝒔
𝒆𝒂𝒓𝒏𝒊𝒏𝒈𝒔 𝒚𝒊𝒆𝒍𝒅
If there is constant growth into perpetuity
𝐏𝐫𝐢𝐜𝐞 =
𝐭𝐨𝐭𝐚𝐥 𝐯𝐚𝐥𝐮𝐞 =
𝑬𝑷𝑺(𝟏 + 𝒈)
𝑬𝒀 − 𝒈
𝒆𝒂𝒓𝒏𝒊𝒏𝒈𝒔 (𝟏 + 𝒈)
𝑬𝒀 − 𝒈
Drawbacks of the earnings method
-
Earnings is profit and therefore can be easily manipulated to get a
favorable business value
The earnings is based on the company’s policy and therefore varies from
company to company
The earnings is based on historical information which may not be reliable
for future valuation.
The method doesn’t work if the company is making loses
If the P/E ratio is from a similar company or the industry, it could lead to
over or under valuation.
Question 47
You are given the following information regarding A10, an unquoted
company:
a) Issued ordinary share capital is 400,000 25c shares
b) Extract from the income statement for the year ended 31st July 20x4.
$
Profit before taxation
260,000
Less: corporation tax
120,000
Profit after taxation
Less: preference dividend
Ordinary dividend
$
140,000
20,000
36,000
Retained profit for the year
(56,000)
84,000
c) The PE ratio applicable to a similar type of business is 12.5
Required
Value 200,000 shares in A Co. on a PE ratio basis.
Question 48
a) Company A has earnings of $300,000. A similar listed company has an
earnings yield of 12.5%.
b) Company B has earnings of $420,000. A similar listed company has a PE ratio
of 7.
Required:
Estimate the value of each company.
Question 49(ASSIGNMENT)
ABC Co is considering making a bid for the entire equity capital of XYZ Co, a
firm which has a PE ratio of 9 and annual earnings of $390m.
ABC Co has a PE of 13 and annual earnings of $693m, and it is thought that
$125m of annual synergistic savings will be made as a consequence of the
takeover. The PE of the combined company is expected to be 12.
Required:
Calculate the minimum value acceptable to XYZ’s shareholders, and the maximum
amount which ABC should consider paying.
Net Assets Method
Net assets = total assets (mv)– total liabilities
It is also the equity value of the business.
The total assets and liabilities must be at their fair values or market value.
Limitations of the Net Assets method
- It gives the minimum value to shareholders, they get nothing more than
equity.
- The method is only useful if the is about to be liquidated.
- It ignores certain intangible assets like goodwill, customer database etc.
- There could be difficulty in getting the correct market values of the assets.
- It uses historical information.
Question 50
The following is an abridged version of the statement of financial position of
Grasmere Contractors Co, an unquoted company as at 30th April, x6
$
Non-current assets (CV)
450,000
Net current assets
100,000
550,000
Represented by:
$1 ordinary shares
200,000
Reserves
250,000
6% loan notes ZS
100,000
550,000
You ascertain that:



Loan notes are redeemable at a premium of 2%
Current market value of freehold property exceeds book value by
$30,000
All assets other than property are estimated to be realizable at their book
value.
Required:
Calculate the value of an 80% holding of ordinary shares on an assets basis.
The Free Cash flows Method
This method combines the DVM and the NPV
There are 2 values:
1. Free cash flows to equity (equity only)
2. Free cash flows to the firm(equity + debt)
𝐄𝐪𝐮𝐢𝐭𝐲 𝐕𝐚𝐥𝐮𝐞 =
𝐭𝐨𝐭𝐚𝐥 𝐯𝐚𝐥𝐮𝐞 =
𝑭𝑪𝑭 𝒕𝒐 𝒆𝒒𝒖𝒊𝒕𝒚 (𝟏 + 𝒈)
𝒌𝒆 − 𝒈
𝑭𝑪𝑭 𝒕𝒐 𝒕𝒉𝒆 𝒇𝒊𝒓𝒎 (𝟏 + 𝒈)
𝑾𝑨𝑪𝑪 − 𝒈
Equity Value = Total Value – MV of debt
FCF to equity is the same as dividend capacity
The cash flow to equity holders is the company’s ability to pay dividend.
Free Cash flow to Equity
Sales
Operating Cost (VC, FC, others)
XXX
(XXX)
Operating Profit before depreciation or CA
Less: CA/tax allowable dep.
Less: interest or finance cost (ignore when finding
FCF to the firm as WACC includes it)
XXX
(XXX)
Taxable cash flows
less: Tax
add back CA(ignore if the same as asset replac.
Working Capital investment
Less Capital Investment
add proceeds from sales of assets (cash
proceeds)
Less profit on disposal
Add loss on disposal
XXX
(XXX)
XXX
(XXX)
(XXX)
FCF to equity or dividend capacity
XXX
Assumptions of the Free Cash flow method
-
Constant free cash flows
Constant cost of capital/ke
Constant growth rate
Cost of capital is greater than growth rate
(XXX)
XXX
(XXX)
XXX
Question 51
The following information has been taken from the income statement and
balance sheet of B Co.
Revenue
Production expenses
Administration expenses
Tax allowable dep.
Capital investment in year
Corporation tax is
$350
$210
$24
$31
$48
30%
Corporation debt $14 trading at 130%. The WACC is 16.6%. Inflation is 6%.
These cash flow are expected to continue every for the foreseeable future.
Required:
Calculate the value of equity.
Question 52
A company’s current revenues and costs are as follows:
Sales
Cost of sales
$200 million
$110 million
Dist. & Admin. Expenses are
Tax allowable depreciation
Annual capital spending
Corporation tax is
The current value of debt
The WACC is
Inflation is
$20 million
$40 million
$50 million
30%
$17 million
14.40%
4%
These cash flows are expected to continue every year for the foreseeable
future.
Required:
Calculate the value of equity.
Question 53 assignment
A company is preparing a free cash flow forecast in order to calculate the
value of equity.
The following information is available:
Sales: Current sales are $500m. Growth is expected to be 8% in year 1, failing
by 2% pa (e.g. to 6% in year 2) until sales level out in year 5 where they are
expected to remain constant in perpetuity.
The operating profit margin will be 10% for the first two years and 12% thereafter.
Depreciation in year 1 will be $7m increasing by $1m pa over the planning
horizon before leveling off and replacement asset investment is assumed to
equal depreciation. Incremental investment in assets is expected to be 8% of
the increase in sales in year 1.6% of the increase in sales in each of the following
two years, and 4% of the increase in year 4.
Tax will be charged at 30% pa. the WACC is 15%.
The market value of short-term investments is $4m and the market value of debt
is $48m.
Required:
Calculate the value of equity.
Question 54 Stanzial Inc.
Stanzial Inc is a listed telecommunications company. The company is
considering the purchase of Besserlot Co, an unlisted company that has
developed, patented and marketed a secure, medium-range, wireless link to
broadband. The wireless link is expected to increase Besserlot’s revenue by 25%
per year for three years, and by 10% per year thereafter. Besserlot is currently
owned 35% by its senior managers, 30% by a venture capital company, 25% by
a single shareholder on the board of directors, and 10% by about 100 other
private investors.
Summarised accounts for Besserlot for the last two years are shown below:
Statements of profit or loss for the years ended 31 March ($000)
20X6
20X5
Sales revenue
22,480
20,218
––––––
––––––
Operating profit before exceptional items 1,302
820
Exceptional items
(2,005)
–
Interest paid (net)
(280)
(228)
––––––
––––––
Profit before taxation
Taxation
Profit after taxation
Note: Dividend
(983)
(210)
––––––
(1,193)
––––––
200
592
(178)
––––––
414
––––––
100
Statements of financial position as at 31 March ($000)
20X6
20X5
Non-current assets (net)
Tangible assets
5,430
5,048
Goodwill
170
200
Current assets
Inventory
3,400
2,780
Receivables falling due within one year
2,658
2,462
Receivables falling due after one year
100
50
Cash at bank and in hand
48
48
––––––
––––––
Total assets
11,806
10,588
––––––
––––––
Equity and liabilities
Called-up share capital (25 cents par)
2,000
1,000
Retained profits
3,037
4,430
Other reserves
1,249
335
––––––
––––––
Total equity
6,286
5,765
Current liabilities – payables
5,520
4,823
––––––
––––––
11,806
10,588
––––––
––––––
Other information relating to Besserlot:
(i)
Non-cash expenses, including depreciation, were $820,000 in 20X5–6.
(ii)
Corporate taxation is at the rate of 30% per year.
(iii)
Capital investment was $1 million in 20X5–6, and is expected to grow
at approximately the same rate as revenue.
(iv)
Working capital, interest payments and non-cash expenses are
expected to increase at the same rate as revenue.
(v)
The estimated value of the patent if sold now is $10 million. This has
not been included in non-current assets.
(vi)
Operating profit is expected to be approximately 8% of revenue in
20X6–7, and to remain at the same percentage in future years.
(vii)
Dividends are expected to grow at the same rate as revenue.
(viii) The realisable value of existing inventory is expected to be 70% of its
book value.
(ix)
The estimated cost of equity of Besserlot is 14%.
Information regarding the industry sector of Besserlot:
(i) The average PE ratio of listed companies of similar size to Besserlot is 30:1.
(ii) Average earnings growth in the industry is 6% per year.
Required:
(a) Prepare a report that:
(i) Estimates the value of Besserlot Co using:
 Asset based valuation
 PE ratios
 Dividend based valuation
 The present value of expected future cash flows.
State clearly any assumptions that you make. (16 marks)
(ii) Discusses the potential accuracy of each of the methods used and recommends,
with reasons, a value, or range of values that Stanzial might bid for Besserlot. (11 marks)
Professional marks will be awarded in part (a) for the format, structure and presentation
of the report. (4 marks)
(b) Discuss how the shareholder mix of Besserlot and type of payment used might
influence the success or failure of the bid. (8 marks) (c) Assuming that the bid was
successful, discuss other factors that might influence the medium-term financial
success of the acquisition. (5 marks)
(d) The directors of Stanzial Inc are also considering whether to dispose of one of the
company’s business units.
Required:
Explain the potential advantages for Stanzial of undertaking the divestment by means
of
(i) a sell-off and
(ii) a demerger (6 marks)
Mergers and Acquisitions
Question Bank for Mergers and Acquisitions
Pursuit Jun 2011
Cigno Sep/Dec 2015
Chikepe Mar/Jun 2018
Nente Jun 2012
Opao Dec 2018
Nahara and Fugae Dec 2014
Vogel Jun 2014
Exam focus areas:
-
Synergy
Takeover regulations
Net benefit to a company or maximum premium
Mode of payment, gains or losses and advantages
-
Defense strategies
Definitions
Acquisitions
Taking over ownership of another company.
Organic Growth
Growing with your own resources or capabilities.
Mergers
When two or more companies come together to form one company.
Synergy
The main reason for acquisition is synergy. This is the fact that the combined
value after an acquisition or a merger is greater than their separate values.
Types of Synergy
I.
Revenue Synergy


II.
Cost Synergy


III.
Occurs from competitive advantage by reducing competition
increase the market share.
Helps to enjoy economies of scale
Reduce cost duplication
Financial Synergy


Access to asset base which can be used to secure cheaper
loans.
Improve rating or reputation
Takeover Regulations
1. Mandatory Bid rule
This is when after acquiring a company the remaining shareholders can
exit the company at a fair price.
The main purpose is to ensure that the acquirer does not exploit their
postion of power at the expense of minority shareholders.
2. Principle of equal treatment
This is where all the shareholders are offered the same terms of
conditions after acquiring the company.
The main purpose is to that all shareholders are offered the same level
of benefit.
3. Squeeze out rights condition
This is where after attaining a certain share of holding percentage the
acquirer will force minority shareholders to sell their shares.
The main purpose is to ensure that the acquirer gain 100% control of the
target company and prevent problems arising from minority
shareholder at a later date.
Types of Acquisitions
Type I Acquisitions
This is where after acquisition there is no effect on the business and financial
risk. There is no change in the capital structure.
Type II Acquisitions
This is where after acquisition there is no effect on the business risk but there is
an effect on the financial risk. (APV)
Type III Acquisitions
This is where after acquisition there is an effect on both the business risk and
financial risk of the combined company.
Steps to dealing with a Type III Acquisition
1.
2.
3.
4.
5.
Estimate the value of the target company
Estimate the value of the acquirer company
Estimate the Ba of the acquirer company.
Estimate the Ba of the target company
Find the combined Ba of both the acquirer and the target using
appropriate weight.
6. Find the combined value and discount them with the combined WACC
or the ke
7. Determine the synergy (i.e. the combined value less the separate values
of the acquirer and the target).
8. Determine the net benefit or maximum premium (i.e. synergy less any
premium payments)
Question 55 Pursuit Co. (Jun 11 Adapted)
Pursuit Co, a listed company which manufactures electronic components, is
interested in acquiring Fodder Co, an unlisted company involved in the
development of sophisticated but high risk electronic products. The owners of
Fodder Co are a consortium of private equity investors who have been
looking for a suitable buyer for their company for some time.
Pursuit Co estimates that a payment of the equity value plus a 25% premium
would be sufficient to secure the purchase of Fodder Co. Pursuit Co would
also pay off any outstanding debt that Fodder Co owed. Pursuit Co wishes to
acquire Fodder Co using a combination of debt finance (borrowed from
either the domestic banking system or from the Euromarkets) and its cash
reserves of $20 million, such that the capital structure of the combined
company remains at Pursuit Co’s current capital structure level.
Information on Pursuit Co and Fodder Co
Pursuit Co
Pursuit Co has a market debt to equity ratio of 50:50 and an equity beta of
1.18. Currently Pursuit Co has a total firm value (market value of debt and
equity combined) of $140 million.
Fodder Co, Statement of profit or loss extracts
Year Ended
All amounts are in $000
Sales revenue
Operating profit (after
operating costs and tax
allowable depreciation)
Net interest costs
Profit before tax
Taxation (28%)
After tax profit
Dividends
Retained earnings
31
May
20Y1
31
May
20Y0
31
May
20X9
31
May
20X8
16,146 15,229 14,491 13,559
5,169
489
4,680
1,310
3,370
123
3,247
5,074
473
4,601
1,288
3,313
115
3,198
4,243
462
3,781
1,059
2,722
108
2,614
4,530
458
4,072
1,140
2,932
101
2,831
Fodder Co has a market debt to equity ratio of 10:90 and an estimated equity
beta of 1.53.
It can be assumed that its tax allowable depreciation is equivalent to the
amount of investment needed to maintain current operational levels.
However, Fodder Co will require an additional investment in assets of 22c per
$1 increase in sales revenue, for the next four years. It is anticipated that
Fodder Co will pay interest at 9% on its future borrowings.
For the next four years, Fodder Co’s sales revenue will grow at the same
average rate as the previous years. After the forecasted four-year period, the
growth rate of its free cash flows will be half the initial forecast sales revenue
growth rate for the foreseeable future.
Information about the combined company
Following the acquisition, it is expected that the combined company’s sales
revenue will be $51,952,000 in the first year, and its profit margin on sales will
be 30% for the foreseeable future. After the first year the growth rate in sales
revenue will be 5.8% per year for the following three years. Following the
acquisition, it is expected that the combined company will pay annual
interest at 6.4% on future borrowings.
The combined company will require additional investment in assets of
$513,000 in the first year and then 18c per $1 increase in sales revenue for the
next three years. It is anticipated that after the forecasted four-year period, its
free cash flow growth rate will be half the sales revenue growth rate.
It can be assumed that the asset beta of the combined company is the
weighted average of the individual companies’ asset betas, weighted in
proportion of the individual companies’ market value.
Other information
The current annual government base rate is 4.5% and the market risk premium
is estimated at 6% per year. The relevant annual tax rate applicable to all the
companies is 28%.
SGF Co’s interest in Pursuit Co
There have been rumours of a potential bid by SGF Co to acquire Pursuit Co.
Some financial press reports have suggested that this is because Pursuit Co’s
share price has fallen recently. SGF Co is in a similar line of business as Pursuit
Co and until a couple of years ago,
SGF Co was the smaller company. However, a successful performance has
resulted in its share price rising, and SGF Co is now the larger company.
The rumours of SGF Co’s interest have raised doubts about Pursuit Co’s ability
to acquire
Fodder Co. Although SGF Co has made no formal bid yet, Pursuit Co’s board
is keen to reduce the possibility of such a bid. The Chief Financial Officer has
suggested that the most effective way to reduce the possibility of a takeover
would be to distribute the $20 million in its cash reserves to its shareholders in
the form of a special dividend. Fodder Co would then be purchased using
debt finance. He conceded that this would increase Pursuit Co’s gearing
level but suggested it may increase the company’s share price and make
Pursuit Co less appealing to SGF Co.
Required:
a) Discuss the advantages and disadvantages of organic growth and growth by
acquisition. (8 marks)
b) Discuss the advantages and disadvantages of borrowing funds from the domestic
banking system compared to the Euromarkets. (6 marks)
c) Prepare a report to the Board of Directors of Pursuit Co that
I.
Evaluates whether the acquisition of Fodder Co would be beneficial to
Pursuit Co and its shareholders. The free cash flow to firm method should
be used to estimate the values of Fodder Co and the combined company
assuming that the combined company’s capital structure stays the same
as that of Pursuit Co’s current capital structure. Include all relevant
calculations.
II.
(16 marks)
Discusses the limitations of the estimated valuations in part (i) above.
(4 marks)
III.
Estimates the amount of debt finance needed, in addition to the cash
reserves, to acquire Fodder Co and concludes whether Pursuit Co’s current
capital structure can be maintained.
IV.
(3 marks)
Explains the implications of a change in the capital structure of the
combined company, to the valuation method used in part (i) and how the
issue can be resolved.
V.
(4 marks)
Assesses whether the Chief Financial Officer’s recommendation would
provide a suitable defence against a bid from SGF Co and would be a
viable option for Pursuit Co.
(5 marks)
Professional marks will be awarded in this question for the format, structure and
presentation of the report in part (c).
(4 marks)
(Total: 50 marks)
Advantage of borrowing funds domestic compared to Euromarkets
-Easy access
-No currency risk
-Can borrow any amount @ any giving time
Disadvantage of borrowing funds domestic compared to Euromarkets
-cannot borrow large amount
-cost of borrowing is more expensive
-more regulations & stringent requirement
-require security
1. Strategic Defenses
Post bid
A target company can use the following to defend itself against a
possible takeover:
 Try to convince the shareholders that the terms of the offer are
unacceptable. This can be done using the following:
o Attempt to show that the current share price of the
company is unrealistically low relative to the future
potential. Assets revaluation, new profit forecasts, dividends



and promises of rationalization are commonly employed
here.
o If it is for share for share exchange, the target company can
attempt to convince the shareholders that the offer’s equity
is currently overvalued. The suitability of the bidding
company to run the merged business can also be
questioned.
Launching an advertising campaign against the takeover bid.
One technique is to attack the account of the predator company.
A reverse takeover (Pac Mac), that is make a counter offer for the
predator company. This can be done if the companies are of
reasonably similar size.
Finding a ‘white knight’, a company which will make a welcome
takeover bid. This involves finding a more suitable acquirer and
promoting it to compete with the predator company.
Pre-bid




Selling crowning jewels- the tactic of selling off certain highly
valued assets of the company subject to a bid is called selling the
crown jewels. The intention is that, without the crown jewels, the
company will be less attractive.
Golden parachutes- this is a policy of introducing attractive
termination packages for the senior executives of the victim
company. This makes it more expensive for the predator company.
Shark repellent- super-majority. The articles of association are
changed to require a very high percentage of shares to approve
an acquisition or merger, say 80%.
Poison pill
The most commonly used and seeming most effective takeover
defence is the so called poison pill.
An example is the Flip-in pill. This involves the granting of rights to
shareholders, other than the potential acquirer, to purchase the
shares of the target company at a deep discount. This dilutes the
ownership interest of the potential acquirer.
Mode of Payment
-
Cash
Share exchange
Bonds
Advantages of Cash payment to the Acquirer
-
There is no loss of control
There is no dilution of EPS
Can be achieved quickly
It is cheaper to arrange
Amount paid is certain
Subsidiary is not involved in operations
Disadvantages of Cash payment to the Acquirer
-
It results in cash drain
Leads to high gearing if a loan is used.
Advantages of Cash payment to the Target
-
Amount received is certain
Improves liquidity for other business operations
There is no risk of default
Can be achieved quickly
Disadvantages of Cash payment to the Target
-
Leads to capital gains tax due to the cash received.
Loss of control.
Cannot participate in management activities.
Advantages of Share Exchange to the Acquirer
-No cash drain
-No increase in gearing
Disadvantages of Share Exchange to the Acquirer
-
loss of control
dilution of EPS
Cannot be achieved quickly
Amount paid is uncertain
Subsidiary will be involved in operations
Advantages of Share Exchange to the Target
-
No capital gains tax.
No Loss of control.
Can participate in management activities.
Disadvantages of Share Exchange to the Target
-
Amount received is uncertain
It does not improves liquidity for other business operations
Cannot be achieved quickly.
Advantages of BOND payment to the Acquirer
-
There is no loss of control
There is no dilution of EPS
Amount paid is certain
Subsidiary is not involved in operations.
Have tax savings(reduce WACC).
Disadvantages of BOND payment to the Acquirer
-
Default risk can arise.
Leads to high gearing if a loan is used .
Advantages of BOND payment to the Target
-
Amount received is certain
Guaranteed returns.
No capital gain tax
Disadvantages of BOND payment to the Target
-
Loss of control.
Does not partake management activities.
Cash Payment (Target)
-
Find the value of the target using any method available
Compare cash payment with value of target company to see if there is
a gain or a loss.
Cash payment(Acquirer)
-find the combined value(value of acquirer + target + synergy)
-deduct cash payment from the combine value
-find the value per share
-compare the value per share to the acquirer share price to determine gain or
loss
Share Exchange (Target/Acquirer)
-
Find the combined value of the company (i.e. acquirer + target +
synergy)
Find the combined no. of shares
Find the acquirer company’s share price after acquisition
Find the gain or loss
Bonds (Target)
-
Find the MV of bonds exchanged for per share
Compare value per share to the subsidiary’s value using any method
applicable.
Bonds(Acquirer)
-Find combined value
-deduct the bond value
-value per share after the bond payment
-compare the share to share price before to gain or loss
Question 56 SIGRA CO (Dec 12 Adapted)
Sigra Co is a listed company producing confectionary products which it sells
around the world. It wants to acquire Dentro Co, an unlisted company
producing high quality, luxury chocolates. Sigra Co proposes to pay for the
acquisition using one of the following three methods:
Method 1
A cash offer of $5.00 per Dentro Co share; or
Method 2
An offer of three of its shares for two of Dentro Co’s shares; or
Method 3
An offer of a 2% coupon bond in exchange for 16 Dentro Co’s shares. The
bond will be redeemed in three years at its par value of $100.
Extracts from the latest financial statements of both companies are as follows:
Sales revenue
Profit before tax
Taxation
Sigra Co.
Dentro Co.
$000
$000
44,210
4,680
6,190
-1,240
780
-155
Profit after tax
Dividends
4,950
-2,700
625
-275
2,250
350
22,450
3,350
Current assets
Non-current liabilities
3,450
9,700
247
873
Current liabilities
Share capital (40c per share)
3,600
4,400
436
500
Reserves
8,200
1,788
Retained earnings for the year
Non-current assets
Sigra Co’s current share price is $3.60 per share and it has estimated that
Dentro Co’s price to earnings ratio is 12.5% higher than Sigra Co’s current
price to earnings ratio. Sigra Co’s non-current liabilities include a 6% bond
redeemable in three years at par which is currently trading at $104 per $100
par value. Sigra Co estimates that it could achieve synergy savings of 30% of
Dentro Co’s estimated equity value by eliminating duplicated administrative
functions, selling excess non-current assets and through reducing the
workforce numbers, if the acquisition were successful.
Required:
(a) Explain briefly, in general terms, why many acquisitions in the real world are not
successful. (5 marks)
(b) Estimate the percentage gain on a Dentro Co share under each of the above
three payment methods. Comment on the answers obtained.
(16 marks)
(c) In relation to the acquisition, the board of directors of Sigra Co are
considering the following two proposals:
Proposal 1
Once Sigra Co has obtained agreement from a significant majority of the
shareholders, it will enforce the remaining minority shareholders to sell their
shares.
Proposal 2
Sigra Co will offer an extra 3 cents per share, in addition to the bid price, to
30% of the shareholders of Dentro Co on a first-come, first-serve basis, as an
added incentive to make the acquisition proceed more quickly.
Required:
With reference to the key aspects of the global regulatory framework for mergers
and acquisitions, briefly discuss the above proposals. (4 marks)
(Total: 25 marks)
Question 57 Anderson Co.(ASSIGNMENT)
Anderson Co is planning to take over Webb Co, a company in a different
business sector, with a different level of risk. Anderson Co’s free cash flows are
forecast to be $50m per annum in perpetuity, Webb Co’s free cash flows are
forecast to be $10m per annum into perpetuity and there are expected to be
annual post-tax cash synergies of $5m if the acquisition goes ahead.
The combined company will pay tax at 30% and will have a pre-tax cost of
debt of 5%. The risk free is 3% and the equity risk premium is 5.8%.
Currently, Anderson Co has an asset beta of 1.25 and Webb Co has an asset
beta of 1.60. assume that the beta of debt is zero.
The current financing of the two companies is:
$million
Debt
Equity
Anderson Co
50
450
Webb Co
20
80
Anderson Co is planning to make a cash offer of $80m to buy 100% of the share
of Webb Co. the cash offer will be funded by additional borrowing.
Required:
Calculate the gain in wealth for Anderson Co’s shareholders if the acquisition goes
ahead.
Question 58 Detox Plc.(ASSIGNMENT)
Detox plc a drug manufacturer is considering a bid for Nexta plc a company in the
plastics industry. The directors of Detox have decided to make a cash offer of $200
million for the purchase of 100% of Nexta plc’s shares. The cash offer is expected to
be funded by additional borrowing. The following information is available:
Detox plc
Nexta plc
Value of equity
$2,240 million
$126 million
Value of debt
$560 million
$54 million
Asset beta
1.2
0.8
The following post-tax cash flows: EBIT (1-t) are expected post-acquisition
Year
EBIT (1-t) $m
1
2
3
300
500
600
4 onwards
800 per year
Corporation tax is at the rate of 30%. Risk-free rate and average market returns are
expected to be 6% and 14% respectively. Corporate debt can be assumed to be
risk-free.
Required:
Calculate the gain in wealth for Anderson Co’s shareholders if the acquisition goes
ahead.
Question Bank for Mergers and Acquisitions
Pursuit Jun 2011
Cigno Sep/Dec 2015
Chikepe Mar/Jun 2018
Nente Jun 2012
Opao Dec 2018
Nahara and Fugae Dec 2014
Vogel Jun 2014
Question Bank for Dividend Capacity
Arthuro Mar/Jun 2018
Lirio Mar/Jun 2016
Cigno Sep/Dec 2015
Bento Jun 2015
Chrysos Mar/Jun 2017
Fluffort Sep/Dec 2015
Currency Risk
Management
Currency Risk Question Bank
Cassasophia Jun 2011
Kenduri Jun 2013
Nutourne Dec 2018
Lammer Jun 2006
Lirio Mar/Jun 2016
Adverene Mar/Jun 2018
Washi Sep 2018
Lignum Dec 2012
CMC Pilot Question
Risk
Management
Currency Risk
Forward contracts
Futures
Options
Money market
Swaps
Swaptions
Interest Rate
Risk
Forward rate agreement FRA
Interest Rate Guarantee IRG
Interest Rate futures
Options on futures
Collar
Interest rate swaps
Netting
Types of Currency Risk
Transaction Risk
The risk of exchange gains or losses that arise due to the difference between
the date of transaction and the date of payment.
Economic Risk
It is the long term effect of the transaction risk whereby the exchange gains or
losses affects the company’s future cash flow and hence its market value.
Translation Risk
This is the risk of exchange gains or losses that arise when the foreign
investments assets and liabilities are converted to the home currency on the
day of consolidation.
Managing Currency Risk
Natural or Traditional Methods
-
Dealing in the home currency. Accept payments & receipts in home
currency.
Leading: making early payments or receipts for goods or services.
Lagging: delaying receipts or payments for goods or services
Matching: we match receipts and payments in the same currency at the
same time or period.
Do nothing: if it is a gain and loss affair then do nothing, as the gains will
cancel out the losses.
NOTE:




PAY EARLY WHEN YOUR LOCAL CURRENCY IS WEAK
DELAY PAYMENT WHEN LOCAL CURRENCY IS STRONG
RECEIVE EARLY WHEN THE LOCAL CURRENCY IS STRONG
DELAY RECEIPT WHEN THE LOCAL CURRENCY IS WEAK
Using artificial methods (Derivatives)
1. Forward contracts.
This is an agreement between two parties to buy or sell an underlying
asset (currency) at a fixed price and future date.
Advantages of forward contracts
- Amount to receive or pay is fixed
-Can hedge any amount at any time
- No premium payment is required
- No initial margin required as compared to futures
Disadvantages of using Forward Contracts
- It’s a legally binding contract and hence could have legal
implications upon default
- Cannot enjoy favorable market movements since it’s fixed
- It is usually for short term purposes only.
Variables needed for hedging forward contracts
1.the exposure i.e. receipt or payment in the foreign currency and
2.the forward or lock up rate.
Direct (Receipt)
= exposure x lower forward rate
Direct (Payment)
= exposure x higher forward rate
Indirect (Receipt)
= exposure ÷ higher forward rate
Indirect (Payment
= exposure ÷ lower forward rate
NOTE:
Direct=discount=less
Direct=premium=add
Indirect=discount=add
Indirect=premium=less
Question 59
An Australian firm has just bought some machinery from a US supplier for
$250,000 & $400,000 with payment due in 3 months’ time & 4 months’ time
respectively. Exchange rates are quoted as follows:
Spot (US$/A$)
0.7785 – 0.7891
Three months forward
0.21 – 0.18 cents premium
Six months forward
0.15 – 0.12 cents premium
Required:
Calculate the amount payables if forward contracts are used.
2. Futures
This is an agreement between two parties to buy or sell a standardized
contract at a future date and price.
Futures require an initial margin or deposit.
Gains made on futures is added to the initial margin.
Losses reduce the initial margin
If the intial margin reduces below the maintenance margin, an
additional margin will be required.
Futures are settled on a quarterly basis i.e. end of March, June,
September and December.
Advantages of futures
- Amount to be received or paid is fixed thus aids in planning (budgeting
& forecasting)
- It is highly regulated and therefore transparent in nature
- No premium is required
Disadvantages of futures
- It is not flexible, you can’t enjoy favorable market movements.
- It is a legally binding contract and may have legal implications.
- It is standardized contract , you can’t hedge any amount at any time.
-The hedge is only used on short term basis.
-They are in certain international currencies.
Future hedge = exposure x future rate (for direct quoting)
Future hedge = exposure ÷ future rate (for indirect quoting)
No. of contracts = exposure or converted exposure ÷ contract size
SIMILARITIES BTN FORWARD & FUTURES




Legal binding contract
Amount to receive or pay is fixed. There it aid planning and forecasting
Cannot enjoy the favourable market movement
Short term
DIFFERENCES
FUTURES
INITIAL DEPOSIT/MARGIN
COMPLEX
SETTLED ON QUARTERLY
HIGHLY REGULATED
TRADEABLE
STANDARDISED
CERTAIN CURRENCY
FORWARD
NO INITIAL DEPOSIT
MARGIN
SIMPLE
SETTLED ANY TIME
NOT REGULATED
OVER THE COUNTER
CUSTOMIZE
ALL CURRENCY
OR
Question 60 Casasophia Co.
Casasophia Co, based in a European country that uses the Euro (€),
constructs and maintains advanced energy efficient commercial properties
around the world. It has just completed a major project in the USA and is due
to receive the final payment of US$20 million in four months.
Exchange Rates available to Casasophia
Per €1
Spot
US$1.3585–US$1.3618
4-month forward US$1.3588–US$1.3623
Per €1
MShs116–MShs128
Not available
Currency Futures (Contract size €125,000, Quotation: US$ per €1)
2-month expiry
1.3633
5-month expiry
1.3698
Currency Options (Contract size €125,000, Exercise price quotation: US$ per
€1, cents er
Euro)
Calls
Puts
Exerc price 2-month expiry
1.36
2.35
1.38
1.88
5-month expiry 2-month expiry
2.80
2.47
2.23
4.23
5-month expiry
2.98
4.64
Required:
Advise Casasophia Co on, and recommend, an appropriate hedging strategy for the
US$ income it is due to receive in four months. Include all relevant calculations. (15
marks)
CMC CO (SPECIMEN PAPER 2018)
Cocoa-Mocha-Chai (CMC) Co is a large listed company based in Switzerland and uses Swiss
Francs as its currency. It imports tea, coffee and cocoa from countries around the world, and
sells its blended products to supermarkets and large retailers worldwide. The company has
production facilities located in two European ports where raw materials are brought for
processing, and from where finished products are shipped out. All raw material purchases
are paid for in US dollars (US$), while all sales are invoiced in Swiss Francs (CHF).
a payment of US$5,060,000 which is due in four months’ time; and
Exchange-traded currency futures
Contract size CHF125,000 price quotation: US$ per CHF1
3-month expiry
1.0647
6-month expiry
1.0659
Exchange-traded currency options
Contract size CHF125,000, exercise price quotation: US$ per CHF1, premium:
cents per CHF1
Call Options
Put Options
Exercise price
3-month expiry
6-month expiry
3-month expiry
6-month expiry
1.06
1.87
2.75
1.41
2.16
1.07
1.34
2.22
1.88
2.63
It can be assumed that futures and option contracts expire at the end of the month
and transaction costs related to these can be ignored.
Over-the-counter products
A forward rate between the US$ and the CHF of US$ 1.0677 per CHF1.
Required:
Advise CMC Co on an appropriate hedging strategy to manage the foreign
exchange exposure of the US$ payment in four months’ time. Show all
relevant calculations, including the number of contracts bought or sold in
the exchange-traded derivative
markets.
(1
5 marks)
QUESTION 61 Lammer Plc.
Lammer plc is a UK-based company that regularly trades with
companies in the USA. Several large transactions are due in five
months’ time. These are shown below. The transactions are in ‘000’ units
of the currencies shown.
Assume that it is now 1 June and that futures and options contracts
mature at the relevant month end.
Exports to:
Imports from:
Company 1
$490
£150
Company 2
–
$890
Company 3
£110
$750
Exchange rates:
Spot
3 months forward
1 year forward
$US/£
1.9156–1.9210
1.9066–1.9120
1.8901–1.8945
Annual interest rates available to Lammer plc
Borrowing
Sterling up to 6 months
5.5%
Dollar up to 6 months
4.0%
Investing
4.2%
2.0%
CME $/£ Currency futures (£62,500)
30 September 1.9045
31 December 1.8986
CME currency options prices, $/£ options £31,250 (cents per pound)
CALLS
PUTS
Sept
Dec
Sept
Dec
1.8800
4.76
5.95
1.60
2.96
1.9000
3.53
4.70
2.36
4.34
1.9200
2.28
3.56
3.40
6.55
Required:
Prepare a report for the managers of Lammer plc on how the five-month
currency risk should be hedged. Include in your report all relevant
calculations relating to the alternative types of hedge.
KOFI ANNAN PROFESSIONAL INSTITUTE PAPER AFM 2020
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Question 62 Lirio Co.
Lirio Co is an engineering company which is involved in projects around
the world. It has been growing steadily for several years and has
maintained a stable dividend growth policy for a number of years now.
. It can be assumed that the date today is 1 March 20X6.
Sale of equity investment in the European country
It is expected that Lirio Co will receive Euro (€) 20 million in three
months’ time from the sale of its investment.
The following exchange contracts and rates are available to Lirio Co.
Per €1
Spot rates
$1.1585 – $1.1618
Three-month forward rates
$1.1559 – $1.1601
Currency futures (contract size $125,000, quotation: € per $1)
March futures
€0.8638
June futures
€0.8656
Currency options (contract size $125,000, exercise price quotatio € per
$1, premium € per $1)
Calls
Puts
Exercise price
March
June
March
June
0.8600
0.0255
0.0290
0.0267
0.0319
It can be assumed that futures and options contracts expire at the end
of their respective months.
Required:
Prepare a discussion paper, including all relevant calculations, for the board
of directors (BoD) of Lirio Co which:
Advises Lirio Co on, and recommends, an appropriate hedging strategy for
the Euro (€) receipt it is due to receive in three months’ time from the sale of
the equity investment (14 marks)
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Money market hedges
The Money market is a market for investments and deposits on
short term basis.
Hedging Receipts
1. Borrow in the foreign currency
2. Convert to the home currency using the spot rate
3. Deposit or invest in the home currency or bank
Hedging Payments
1. Deposit in the foreign currency
2. Convert to the home currency using the spot rate
3. Borrow from the home bank or home currency
Advantages of Money Markets
- There is no premium payment requirement
- There is no initial margin requirement
- There is no foreign exchange exposure
- There could be an early receipt on goods or services and this can
improve liquidity
- Amount to be received or paid is certain & this can aid planning.
Disadvantages of using Money markets
- You cannot enjoy favorable market movements
- It is not suitable in the event of an economic crisis
- The hedge will not be effective when the interest rate is changing
in the market
- The hedge is only used on short term basis
Question 63 Kenduri Co.
Kenduri Co is a large multinational company based in the UK with a
number of subsidiary companies around the world. Currently, foreign
exchange exposure as a result of transactions between Kenduri Co
and its subsidiary companies is managed by each company
individually. Kenduri Co is considering whether or not to manage the
foreign exchange exposure using multilateral netting from the UK, with
the Sterling Pound (£) as the base currency. If multilateral netting is
undertaken, spot mid-rates would be used.
The following cash flows are due in three months between Kenduri Co
and three of its subsidiary companies.
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The subsidiary companies are Lakama Co, based in the United States
(currency US$), Jaia Co, based in Canada (currency CAD) and
Gochiso Co, based in Japan (currency JPY).
Owed by
Owed to
Amount
Kenduri Co
Lakama Co
US$ 4.5 million
Kenduri Co
Jaia Co
CAD 1.1 million
Gochiso Co
Jaia Co
CAD 3.2 million
Gochiso Co
Lakama Co
US$ 1.4 million
Jaia Co
Lakama Co
US$ 1.5 million
Jaia Co
Kenduri Co
CAD 3.4 million
Lakama Co
Gochiso Co
JPY 320 million
Lakama Co
Kenduri Co
US$ 2.1 million
Exchange rates available to Kenduri Co
US$/£1
CAD/£1
Spot
1.5938–1.5962
1.5690–1.5710
3-month forward 1.5996–1.6037
1.5652–1.5678
JPY/£1
131.91–133.59
129.15–131.05
Currency options available to Kenduri Co Contract size £62,500,
Exercise price quotation: US$/£1, Premium: cents per £1
Call Options
Put Options
Exercise price
3-month
6-month
3-month
6-month
expiry
expiry
expiry
expiry
1.60
1.55
2.25
2.08
2.23
1.62
0.98
1.58
3.42
3.73
It can be assumed that option contracts expire at the end of the
relevant month
Annual interest rates available to Kenduri Co and subsidiaries
UK
United States
Canada
Japan
Borrowing rate
4.0%
4.8%
3.4%
2.2%
Investing rate
2.8%
3.1%
2.1%
0.5%
Required:
(a) Advise Kenduri Co on, and recommend, an appropriate hedging strategy
for the US$ cash flows it is due to receive or pay in three months, from Lakama
Co. Show all relevant calculations to support the advice given. (12 marks)
KOFI ANNAN PROFESSIONAL INSTITUTE PAPER AFM 2020
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(b) Calculate, using a tabular format (transactions matrix), the impact of
undertaking multilateral netting by Kenduri Co and its three subsidiary
companies for the cash flows due in three months. Briefly discuss why some
governments allow companies to undertake multilateral netting, while others
do not. (10 marks)
Options
An option is the right but there is no obligation to buy or sell an
underlying asset (or currency) at a future price and date (i.e.
exercise price and date)
The cost of undertaking an option is called the premium. It is
payable upfront and it is not refundable.
An option to sell = PUT option
An option to buy = CALL option
An option which can be exercised only at the maturity date is
called a European option.
An option which can be exercised on or before the maturity date
is called an American option.
Types of Options
Over the counter options (OTC)
It is a customized option or tailored to a particular customer or
individual.
Exchanged traded options
These are standardized in nature and are traded or marketed on
the financial markets.
KOFI ANNAN PROFESSIONAL INSTITUTE PAPER AFM 2020
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Advantages of exchange traded options
- They are readily available on the market
- It could be bought and sold on the market
- It is highly regulated and transparent in nature
- There is no counter party risk
Drawbacks of exchange traded options
- There is a limited range of products
- There is a fixed date, you cannot hedge at any time
- They are in contract sizes, you cannot hedge any amount
- They are for short term period
-They are in certain international currencies
Similiarities for futures and options







Traded
Short term
Certain international currency
Complex
Contract size
Fixed date
regulated
OPTIONS
FUTURES
Premium payment
flexible
Can enjoy favourable
mkt condition
Initial margin
Legal binding
Cannot
enjoy
favourable
market
condition
Amount certain
DIFFERENCES
Amount not certain
KOFI ANNAN PROFESSIONAL INSTITUTE PAPER AFM 2020
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Steps for Hedging Options
1. Determine the exposure.
2. Determine whether it is a call or put option
The golden rule
If the option or contract size is in the home currency then
Payment will PUT (HPP) & Receipt will be CALL (HRC)
If the option or contract size is in the foreign currency then
Payment will CALL (FPC) & Receipt will be PUT (FRP)
3. If the exposure is in different currency from contract size
currency, convert the exposure to the contract size currency
using an exercise price.
4. Determine the number of contracts (exposure/converted
exposure ÷ contract size)
5. Calculate the basic hedge (no. of contracts x contract size)
The basic hedge must always be in the local currency, if not
convert it into the local currency using the exercise price.
6. Calculate the premium.
7. Determine the amount not hedged or over hedge when there
is an imperfect hedge ((total exposure – (basic hedge x
exercise prices).
8. Hedge the amount not hedged using the forward rate.
9. Determine the overall outcome=Basic - premium +/- forward
contract
Netting
This occurs when mutual indebtedness between group members
and other group members is reduced.
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Advantages of Netting
- Reduces the amount of transaction costs
- Reduces counter party risk
- Overcome exchange control restrictions
- It helps to encourage foreign investments
Disadvantages of Netting
- Cost involved in arranging the netting
- Some governments disallow netting arrangements by banks
- There could be currency exposure to some other group members
- There could be a difficulty in controlling netting exercise.
Steps to Netting
1. Convert all currencies to the home currency(Parent)
2. Set up the netting table with each company horizontally and
vertically
3. Input the converted amounts into their respective columns or
matrix
4. Find the net receipts or payments to each party concerned.
Question 64 The Armstrong Group
The Armstrong Group is a multinational group of companies. Today is
1st September. The treasury manager at Massie Co, one of Armstrong
Group’s subsidiaries based in Europe, has just received notification from
the group’s head office that it intends to introduce a system of netting
to settle balances owed within the group every six months. Previously
intergroup indebtedness was settled between the two companies
concerned.
The predicted balances owing to, and owed by, the group companies
at the end of February are as follows:
Owed by
Owed to
Local currency
million (m)
Armstrong (USA)
Horan (South Africa)
US $12.17
Horan (South Africa)
Massie (Europe)
SA R42.65
Giffen (Denmark)
Armstrong (USA)
D Kr21.29
Massie (Europe)
Armstrong (USA)
US $19.78
Armstrong (USA)
Massie (Europe)
€1.57
Horan (South Africa)
Giffen (Denmark)
D Kr16.35
Giffen (Denmark)
Massie (Europe)
€1.55
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The predicted exchange rates, used in the calculations of the
balances to be settled, are as follows:
D Kr
US$
SAR
€
1 D Kr =
1.0000
0.1823
1.9554
0.1341
1 US $ =
5.4855
1.0000
10.7296
0.7358
1 SA R =
0.5114
0.0932
1.0000
0.0686
1€=
7.4571
1.3591
14.5773
1.0000
Settlement will be made in dollars, the currency of Armstrong Group,
the parent company. Settlement will be made in the order that the
company owing the largest net amount in dollars will first settle with the
company owed the smallest net amount in dollars.
Note: D Kr is Danish Krone, SA R is South African Rand, US $ is United
States dollar and € is Euro.
Required:
(a) (i) Calculate the inter-group transfers which are forecast to occur for the
next period.
(8 marks)
(ii) Discuss the problems which may arise with the new arrangement.
(3 marks)
The most significant transaction which Massie Co is due to undertake
with a company outside the Armstrong Group in the next six months is
that it is due to receive €25 million from Bardsley Co on 30 November.
Massie Co’s treasury manager intends to invest this money for the six
months until 31 May, when it will be used to fund some major capital
expenditure. However, the treasury manager is concerned about
changes in interest rates. Predictions in the media range from a 0.5%
rise in interest rates to a 0.5% fall.
Because of the uncertainty, the treasury manager has decided to
protect Massie Co by using derivatives. The treasury manager wishes to
take advantage of favourable interest rate movements. Therefore she
is considering options on interest rate futures or interest rate collars as
possible methods of hedging, but not interest rate futures. Massie Co
can invest at LIBOR minus 40 basis points and LIBOR is currently 3.6%
The treasury manager has obtained the following information on Euro
futures and options. She is ignoring margin requirements.
Three-month Euro futures, €1,000,000 contract, tick size 0.01% and tick
value €25.
September
95.94
December
95.76
March
95.44
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Options on three-month Euro futures, €1,000,000 contract, tick size
0.01% and tick value €25. Option premiums are in annual %.
Calls
September December
0.113
0.182
0.017
0.032
Strike
March
0.245
0.141
96.50
97.00
Puts
September December March
0.002
0.123
0.198
0.139
0.347
0.481
It can be assumed that settlement for the contracts is at the end of the
month. It can also be assumed that basis diminishes to zero at contract
maturity at a constant rate and that time intervals can be counted in
months.
Required:
Based on the choice of options on futures or collars which Massie Co is
considering and assuming the company does not face any basis risk,
recommend a hedging strategy for the €25 million receipt. Support your
recommendations with appropriate comments and relevant calculations.
(14 marks)
Currency Risk Question Bank
Cassasophia Jun 2011
Kenduri Jun 2013
Nutourne Dec 2018
Lammer Jun 2006
Lirio Mar/Jun 2016
Adverene Mar/Jun 2018
Washi Sep 2018
Lignum Dec 2012
CMC Pilot Question
KOFI ANNAN PROFESSIONAL INSTITUTE PAPER AFM 2020
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Interest Rate
Hedges
Question Bank for Interest Rate Risk
Mar/Jun 2019 Q3
Awan Co. Dec 2013
Alecto Pilot 2012
Keshi Dec 2014
Daikon Jun 2015
Armstrong Sep/Dec 2015
Wardegal Sep/Dec 2017
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Risk
Management
Interest Rate
Risk
Forward rate agreement FRA
Interest Rate Guarantee IRG
Interest Rate futures
Options on futures
Collar
Interest rate swaps
Forward Rate Agreements FRA
This is an agreement between two parties to borrow or invest at a fixed
rate and time.
For borrowing
If the individual is borrowing more at the open market than the fixed rate,
the hedge institution or bank pays the difference. The difference is
known as compensation received from the bank
If the individual is borrowing less than the agreed fixed rate the individual
pays the difference to the bank. The difference is compensation paid to
the bank.
For investing
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If the individual is receiving more on the open market than the fixed rate,
the individual pays the difference to the bank hedge institution.
If the individual is receiving less on the open market than the fixed rate,
the bank or hedge institution pays the difference to the individual.
Advantages of FRA
- No margin requirement
- No premium payment
- Amount is certain
- You can hedge any amount at any time
Disadvantages for FRA
- You can’t enjoy favorable market movement in interest rates
- It is for short term periods
- Legally binding contract
How to Read FRAs
1-7 or 1 v 7
An investor or borrower who intends to invest or borrow in a months’ time
but will pay or withdraw in 7 months’ time from now. Thus investing or
borrowing for 6 months period.
If there are 2 rates then:
Investing = lower rate
Borrowing = higher rate
•
2v5 → 5.75 – 6.00
Means forward rate agreement that start in 2 months and last for 3 months at
a borrowing rate of 6% and lending rate of 5.75%
•
3v5 → 5.78 – 6.13
Means forward rate agreement that start in 3 months and last for 2
months at borrowing rate of 6.13% and lending rate of 5.78%.
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Question 65
A bank has quoted the following FRA rates:
2v6 → 5.75 – 6.00
3v5 → 5.78 – 6.13
4v7 → 5.95 – 6.45
Assume that now is 1st November, 2008.
Required:
Determine the FRA interest applicable to the following situations:
1. A company wants to borrow on 1st February 2009 and repay the
loan on 1st of April, 2009.
2. A company wants to deposit money on 1st January, 2009 and
expect to withdraw the amounts for an investment on 1st of May,
2009.
3. A company wants to borrow on 1st March, 2009 and repay the
loan on 1st of June, 2009.
Question 66
A company will have to borrow an amount of £100 million in three
months’ time for a period of six months. The company borrows at LIBOR
plus 50 basis points. LIBOR is currently 3.5%. The treasure wishes to protect
the short-term investment from adverse movements in interest rates by
using forward rate agreement (FRAs).
FRA prices (%)
3v9
3.85 – 3.80
4v9
3.58 – 3.53
5v9
3.55 - 3.45
Required:
Show the expected outcome of FRA
a. If LIBOR increases by 0.5%
b. If LIBOR decreases by 0.5%
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Question 67
Assume that it is now 1st June. Your company expects to receive £7.1m
from a large order in five months’ time. This will then be invested in highquality commercial paper for a period of four months, after that it will be
used to pay part of the company’s dividend. The treasurer wishes to
protect the short-term investment from adverse movements in interest
rates, by using forward rate agreement (FRA).
FRA prices (%)
4v5 → 3.85 – 3.80
4v9 → 3.58 - 3.53
5v9 → 3.50 – 3.45
The current yield on the high-quality commercial paper is LIBOR + 0.60%.
LIBOR is currently 3%.
Required:
If LIBOR falls or increases by 0.5% during the next five months, show the
expected outcome of FRA.
Options on FRAs/ Interest rate guranteed
This is where there is a right but no obligation to borrow or invest at a
fixed rate and time.
For Investment
If the market rate is higher than fixed rate (FRA), the individual will go the
market and will not exercise its right and vice versa.
For Borrowing
If the market rate is lower than fixed rate (FRA), the individual will go the
market but will not exercise its right and vice versa
Advantages of Options on FRAs
- Flexible: enjoy favorable market movements
- You can hedge any amount at any time
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-
No margin requirement
Drawbacks of Options on FRAs
- Premium payment required and is not refundable
- Doesn’t aid forecasting and budgeting because the amount to
be received or paid is not certain
- It is for short term purposes.
Question 68
A company will have to borrow an amount of £100 million in three
months’ time for a period of six months. The company borrows at LIBOR
plus 50 basis points. LIBOR is currently 3.5%. The treasure wishes to protect
the short-term investment from adverse movements in interest rates by
using INTEREST RATE GURANTEE(IRG).
FRA prices (%)
3v9
3.85 – 3.80
4v9
3.58 – 3.53
5v9
3.55 - 3.45
Required:
Show the expected outcome of FRA
a. If LIBOR increases by 0.5%
b. If LIBOR decreases by 0.5%
Question 67
Assume that it is now 1st June. Your company expects to receive £7.1m
from a large order in five months’ time. This will then be invested in highquality commercial paper for a period of four months, after that it will be
used to pay part of the company’s dividend. The treasurer wishes to
protect the short-term investment from adverse movements in interest
rates, by using INTEREST RATE GURANTEE(IRG).
FRA prices (%)
4v5 → 3.85 – 3.80
4v9 → 3.58 - 3.53
5v9 → 3.50 – 3.45
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The current yield on the high-quality commercial paper is LIBOR + 0.60%.
LIBOR is currently 3%.
Required:
If LIBOR falls or increases by 0.5% during the next five months, show the
expected outcome of FRA.
Futures
Steps to hedging Interest rate Futures
1. Determine the number of contracts
= Amt borrow/invest × Period of Borrow or Invest
Contract size
3
2.
3.
4.
5.
6.
7.
Find the basis(currency Libor less closing futures chosen)
Find the unexpired basis
Calculate the return on the market or cost of borrowing
Determine the gain or loss on futures market
Determine the net interest cost or return
Find the effective rate
Ticks
A tick is the minimum price movement permitted by the exchange on
which the future contract is traded. Ticks are used to determine the profit
or loss on the future contract. The significance of the ticks is that
everyone tick movement in price has the same money value.
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Interest Rate Options
Steps to hedge Options
1. Determine whether it’s a call or put option.
Golden Rule
Investment=CALL Borrowing=PUT
2. Compare the strike price to the expected closing future and
determine if option should be exercised
3. Calculate the gain made if the option is exercised
4. Find the premium to be paid
5. Return on investments or cost of borrowing
6. Find the net interest receipt or cost
7. Find the effective rate
Collar Hedges
This is the simultaneous purchase and sale of put and call options at
different exercise prices.
Floor
This is the minimum return expected on investments
Cap
This is the maximum amount of interest expected on borrowings
Advantage
It helps to minimize the amount of premium paid or the cost of
transaction.
Disadvantage
If the counter party exercises the right, the gain made by the counter
party will be a loss to the option holder.
How to hedge Collar
If it is an investment, buy CALL at the exercise price with the least
premium, sell PUT at a different exercise price with the highest premium.
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If it is a borrowing, buy PUT at the exercise price with the least premium,
sell CALL at a different exercise price with the highest premium.
Investment
Borrowing
BUY
SELL
BUY
SELL
CALL
PUT
PUT
CALL
Interest Rate Swaps
This is agreement between two parties to exchange a fixed interest rate
for a floating interest rate and vice versa over a period of time.
Fixed rate – not affected by LIBOR increase or decrease
Floating rate - affected by LIBOR increase or decrease
Advantages of Swaps
-
It can be hedged for a longer period of time
There is no premium requirement
There is no margin requirement
You can have access to money in a market which is impossible to
borrow
Finance costs could be cheaper with swaps than borrowing
directly on the market.
Drawbacks of Swaps
-
There could be counter party risk
The bank charges a fee for arranging the swaps
You cannot easily enjoy favorable market movements unless it’s a
swaption.
Steps for Swaps
1.
2.
3.
4.
Set up a table for fixed and floating rates for the parties involved.
Find out where more savings can be achieved
Whoever will bring more savings should borrow at their rate.
Find the net saving(share based on proportion given)
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5. Effective rate(Amount of interest paying less share of gain)
Question 68
Company A wishes to raise $6m and to pay interest at a floating rate, as
it would like to be able to take advantage of any tall in interest rates. It
can borrow for one year at a fixed rate of 10% or at a floating rate of 1%
above LIBOR.
Company B also wishes to raise $6m. They would prefer to issue fixed rate
debt because they want certainly about their future interest payments
but can only borrow for one year at 13% fixed or LIBOR + 2% floating as
it has a lower credit rating than Company A.
Required:
Calculate the effective swap rate for each company – assume savings are split
equally.
Question 69
Company X wishes to raise $50m. They would prefer to issue fixed rate
debt and can borrow for one year at 6% fixed or LIBOR + 80 points.
Company Y also wishes to raise $50m and to pay interest at a floating
rate. It can borrow for one year at a fixed rate of 5% or at LIBOR + 50
points.
Required:
Calculate the effective swap rate for each company. Assume savings are split
equally.
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Question 70 Warne Co.
Warne Co is an Australian firm looking to expand in Germany and is
looking to raise €24m. it can borrow at the following fixed rates:
At $ 7%
€ 5.6%
Euro parts Inc is a French company looking to acquire an Australian firm
and is looking to borrow A $40m. It can borrow at the following rates.
A $7.2%
£
5.5%
The current spot rate is A$1 = €0.6
Required:
Show how a “fixed for fixed” currency swaps would work in the circumstances
described.
Question 71 Wa Inc.
Wa Inc is a Japanese firm looking to expand in the U.S.A and is looking
to raise $20m at a variable interest rate. It has been quoted the following
rates:
$ LIBOR + 60 points
¥ 1.2%
Mcgregor Inc is an American company looking to refinance a ¥2,400m
loan at a fixed rate. It can borrow at the following rates:
$ LIBOR + 50 points
¥ 1.5%
The current spot rate is $1 = ¥120.
Required:
Show how the “fixed for variable” currency swaps would work in the
circumstances described.
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Question 72 Alecto Co.
Alecto Co, a large listed company based in Europe, is expecting to
borrow €22,000,000 in four months’ time on 1 May 20X2. It expects to
make a full repayment of the borrowed amount nine months from now.
Currently there is some uncertainty in the markets, with higher than
normal rates of inflation, but an expectation that the inflation level may
soon come down. This has led some economists to predict a rise in
interest rates and others suggesting an unchanged outlook or maybe
even a small fall in interest rates over the next six months.
Although Alecto Co is of the opinion that it is equally likely that interest
rates could increase or fall by 0.5% in four months, it wishes to protect
itself from interest rate fluctuations by using derivatives. The company
can borrow at LIBOR plus 80 basis points and LIBOR is currently 3.3%. The
company is considering using interest rate futures, options on interest
rate futures or interest rate collars as possible hedging choices.
The following information and quotes from an appropriate exchange
are provided on Euro futures and options. Margin requirements may be
ignored.
Three month Euro futures, €1,000,000 contract, tick size 0.01% and tick
value €25
March 96.27
June 96.16
September 95.90
Options on three month Euro futures, €1,000,000 contract, tick size 0.01%
and tick value €25.
Option premiums are in annual %.
March
0.279
0.012
Calls
Strike
June September
0.391 0.446
96.00
0.090 0.263
96.50
Puts
March June September
0.006
0.163
0.276
0.196
0.581
0.754
It can be assumed that settlement for both the futures and options
contracts is at the end of the month. It can also be assumed that basis
diminishes to zero at contract maturity at a constant rate and that time
intervals can be counted in months.
Required:
(a) Briefly discuss the main advantage and disadvantage of hedging interest
rate risk using an interest rate collar instead of options. (4 marks)
(b) Based on the three hedging choices Alecto Co is considering and
assuming that the company does not face any basis risk, recommend a
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hedging strategy for the €22,000,000 loan. Support your recommendation with
appropriate comments and relevant calculations in €. (17 marks)
(c) Explain what is meant by basis risk and how it would affect the
recommendation made in part (b) above. (4 marks)
Question 73 Pault Co.
Pault Co is currently undertaking a major programme of product
development. Pault Co has made a significant investment in plant and
machinery for this programme. Over the next couple of years, Pault Co
has also budgeted for significant development and launch costs for a
number of new products, although its finance director believes there is
some uncertainty with these budgeted figures, as they will depend
upon competitor activity amongst other matters.
Pault Co issued floating rate loan notes, with a face value of $400
million, to fund the investment in plant and machinery. The loan notes
are redeemable in ten years’ time. The interest on the loan notes is
payable annually and is based on the spot yield curve, plus 50 basis
points.
Pault Co’s finance director has recently completed a review of the
company’s overall financing strategy. His review has highlighted
expectations that interest rates will increase over the next few years,
although the predictions of financial experts in the media differ
significantly.
The finance director is concerned about the exposure Pault Co has to
increases in interest rates through the loan notes. He has therefore
discussed with Millbridge Bank the possibility of taking out a four-year
interest rate swap. The proposed terms are that Pault Co would pay
Millbridge Bank interest based on an equivalent fixed annual rate of
4.847%. In return, Pault Co would receive from Millbridge Bank a
variable amount based on the forward rates calculated from the
annual spot yield curve rate at the time of payment minus 20 basis
points. Payments and receipts would be made annually, with the first
one in a year’s time. Millbridge Bank would charge an annual fee of 25
basis points if Pault Co enters the swap.
The current annual spot yield curve rates are as follows:
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Year
Rate
One
3.70%
Two
4.25%
Three
4.70%
Four
5.10%
A number of concerns were raised at the recent board meeting when
the swap arrangement was discussed.
 Pault Co’s chairman wondered what the value of the swap
arrangement to Pault Co was, and whether the value would
change over time.
 One of Pault Co’s non-executive directors objected to the
arrangement, saying that in his opinion the interest rate which
Pault Co would pay and the bank charges were too high. Pault
Co ought to stick with its floating rate commitment. Investors
would be critical if, at the end of four years, Pault Co had paid
higher costs under the swap than it would have done had it left
the loan unhedged.
Required:
(a)
(i) Using the current annual spot yield curve rates as the basis for estimating
forward rates, calculate the amounts Pault Co expects to pay or receive each
year under the swap (excluding the fee of 25 basis points). (6 marks)
(ii) Calculate Pault Co’s interest payment liability for Year 1 if the yield curve
rate is 4.5% or 2.9%, and comment on your results. (6 marks)
(b) Advise the chairman on the current value of the swap to Pault Co and the
factors
which would change the value of the swap. (4 marks)
(c) Discuss the disadvantages and advantages to Pault Co of not undertaking
a swap and being liable to pay interest at floating rates. (9 marks)
Question 74 Sembilan Co.
Sembilan Co, a listed company, recently issued debt finance to
acquire assets in order to increase its activity levels. This debt finance is
in the form of a floating rate bond, with a face value of $320 million,
redeemable in four years. The bond interest, payable annually, is
based on the spot yield curve plus 60 basis points. The next annual
payment is due at the end of year one.
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Sembilan Co is concerned that the expected rise in interest rates over
the coming few years would make it increasingly difficult to pay the
interest due. It is therefore proposing to either swap the floating rate
interest payment to a fixed rate payment, or to raise new equity
capital and use that to pay off the floating rate bond. The new equity
capital would either be issued as rights to the existing shareholders or as
shares to new shareholders.
Ratus Bank has offered Sembilan Co an interest rate swap, whereby
Sembilan Co would pay Ratus Bank interest based on an equivalent
fixed annual rate of 3.76¼% in exchange for receiving a variable
amount based on the current yield curve rate. Payments and receipts
will be made at the end of each year, for the next four years. Ratus
Bank will charge an annual fee of 20 basis points if the swap is agreed.
The current annual spot yield curve rates are as follows:
Year
One
Two
Three
Four
Rate
2.5%
3.1%
3.5%
3.8%
The current annual forward rates for years two, three and four are as
follows:
Year
Two
Three
Four
Rate
3.7%
4.3%
4.7%
Required:
(a) Based on the above information, calculate the amounts Sembilan Co
expects to pay or receive every year on the swap (excluding the fee of 20
basis points). Explain why the fixed annual rate of interest of 3.76¼% is less
than the four-year yield curve rate of 3.8%.
(6 marks)
(b) Demonstrate that Sembilan Co’s interest payment liability does not
change, after it has undertaken the swap, whether the interest rates increase
or decrease.
(5 marks)
(c) Discuss the advantages of hedging with interest rate caps and collars.
(6 marks)
(d) Discuss the factors that Sembilan Co should consider when deciding
whether it should raise equity capital to pay off the floating rate debt.
(8 marks)
Currency Swaps
This is an agreement between two parties to exchange one currency for
another over an agreed period of time.
Advantages
-
Helps to overcome the currency risk
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-
Helps to overcome exchange control restrictions
You can restructure your capital without redeeming it It can be
hedged for a longer period of time
There is no premium requirement
There is no margin requirement
You can have access to money in a market which is impossible to
borrow
Finance costs could be cheaper with swaps than borrowing
directly on the market.
Disadvantages
-
There can be political risk.
There could be counter party risk
The bank charges a fee for arranging the swaps
You cannot easily enjoy favorable market movements unless it’s a
swaption.
Question 75 Buryecs
Buryecs Co is an international transport operator based in the Eurozone
which has been invited to take over a rail operating franchise in
Wirtonia, where the local currency is the dollar ($). Previously this
franchise was run by a local operator in Wirtonia but its performance
was unsatisfactory and the government in Wirtonia withdrew the
franchise.
Buryecs Co will pay $5,000 million for the rail franchise immediately. The
government has stated that Buryecs Co should make an annual
income from the franchise of $600 million in each of the next three
years. At the end of the three years the government in Wirtonia has
offered to buy the franchise back for $7,500 million if no other operator
can be found to take over the franchise.
Today’s spot exchange rate between the Euro and Wirtonia $ is
€0·1430 = $1. The predicted inflation rates are as follows:
Year
1
2
3
Eurozone
6%
4%
3%
Wirtonia
3%
8%
11%
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Buryecs Co’s finance director (FD) has contacted its bankers with a
view to arranging a currency swap, since he believes that this will be
the best way to manage financial risks associated with the franchise.
The swap would be for the initial fee paid for the franchise, with a swap
of principal immediately and in three years’ time, both these swaps
being at today’s spot rate. Buryecs Co’s bank would charge an annual
fee of 0·5% in € for arranging the swap. Buryecs Co would take 60% of
any benefit of the swap before deducting bank fees, but would then
have to pay 60% of the bank fees.
Relevant borrowing rates are:
Eurozone
Wirtonia
Buryecs Co
Counterparty
4·0%
Wirtonia bank rate
5·8%
Wirtonia bank rate
+ 0·6%
+ 0·4%
In order to provide Buryecs Co’s board with an alternative hedging
method to consider, the FD has obtained the following information
about over-the-counter options in Wirtonia $ from the company’s bank.
The exercise price quotation is in Wirtonia $ per €1, premium is % of
amount hedged, translated at oday’s spot rate.
Exercise price
7·75
7·25
Call options
2·8%
1·8%
Put options
1·6%
2·7%
Assume a discount rate of 14%.
Required:
(a) Discuss the advantages and drawbacks of using the currency swap to
manage financial risks associated with the franchise in Wirtonia. (6 marks)
(b) (i) Calculate the annual percentage interest saving which Buryecs Co
could make from using a currency swap, compared with borrowing directly in
Wirtonia, demonstrating how the currency swap will work. (4 marks)
(ii) Evaluate, using net present value, the financial acceptability of Buryecs Co
operating the rail franchise under the terms suggested by the government of
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Wirtonia and calculate the gain or loss in € from using the swap arrangement.
(8 marks)
(c) Calculate the results of hedging the receipt of $7,500 million using the
currency options and discuss whether currency options would be a better
method of hedging this receipt than a currency swap. (7 marks)
Question 76 Awan Co.
Awan Co is expecting to receive $48,000,000 on 1 February 20X4, which
will be invested until it is required for a large project on 1 June 20X4.
Due to uncertainty in the markets, the company is of the opinion that it
is likely that interest rates will fluctuate significantly over the coming
months, although it is difficult to predict whether they will increase or
decrease.
Awan Co’s treasury team want to hedge the company against
adverse movements in interest rates using one of the following
derivative products:
 Forward rate agreements (FRAs);
 Interest rate futures; or
 Options on interest rate futures.
Awan Co can invest funds at the relevant inter-bank rate less 20 basis
points. The current inter-bank rate is 4.09%. However, Awan Co is of the
opinion that interest rates could increase or decrease by as much as
0.9% over the coming months.
The following information and quotes are provided from an
appropriate exchange on $ futures and options. Margin requirements
can be ignored.
Three-month $ futures, $2,000,000 contract size
Prices are quoted in basis points at 100 – annual % yield
December 20X3:
94.80
March 20X4:
94.76
June 20X4:
94.69
Options on three-month $ futures, $2,000,000 contract size, option
premiums are in annual %
Calls
December March June
0.342
0.432
0.523
0.097
0.121
0.289
Strike
94.50
95.00
December
0.090
0.312
Puts
March
0.119
0.417
June
0.271
0.520
Voblaka Bank has offered the following FRA rates to Awan Co:
1–7: 4.37%
3–4: 4.78%
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3–7:
4–7:
4.82%
4.87%
It can be assumed that settlement for the futures and options contracts
is at the end of the month and that basis diminishes to zero at contract
maturity at a constant rate, based on monthly time intervals. Assume
that it is 1 November 20X3 now and that there is no basis risk.
Required:
(a) Based on the three hedging choices Awan Co is considering, recommend
a hedging strategy for the $48,000,000 investment, if interest rates increase or
decrease by 0.9%. Support your answer with appropriate calculations and
discussion. (19 marks)
(b) A member of Awan Co’s treasury team has suggested that if option
contracts are purchased to hedge against the interest rate movements, then
the number of contracts purchased should be determined by a hedge ratio
based on the delta value of the option.
Required:
Discuss how the delta value of an option could be used in determining the
number of contracts purchased. (6 marks)
Question Bank for Interest Rate Risk
Mar/Jun 2019 Q3
Awan Co. Dec 2013
Alecto Pilot 2012
Keshi Dec 2014
Daikon Jun 2015
Armstrong Sep/Dec 2015
Wardegal Sep/Dec 2017
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Option Pricing
Option Terminology
An Option: the right but not an obligation, to buy or sell a particular good
at an exercise price, at or before a specified date.
Call Option: the right but not an obligation to buy a particular good at
an exercise price.
Put Option: the right but not an obligation to sell a particular good at an
exercise price.
Exercise/Strike price: the fixed price at which the good may be bought
or sold.
American Option: an option that can be exercised on any day up until
its expiry date.
European Option: an option that can only exercise on the last day of the
option.
Premium: the cost of an option.
Traded Option: standardized option contracts sold on a future exchange
(normally American options).
Over the counter (OTC) option: tailor-made option usually sold by a bank
(normally European options).
At, In And Out Of The Money
If the exercise price is more than the market price of the underlying item,
a call option will be out of money and a put option will be in the money.
If the exercise price is less than the market price of the underlying item,
a call option will be in the money and a put option will be out of the
money.
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If the exercise price is equal to the market price of the underlying item
both call and put options will be at the money.
Intrinsic Value
Intrinsic value is the difference between the strike price for the option
and the current market price of the underlying item. However, an in-themoney option has an intrinsic value; but because intrinsic value cannot
be negative, an out of the money option has an intrinsic value of zero.
Advantages of Traded Options – Over-the-Counter Options
1. It offers greater liquidity, with easy sale or purchase of options of a
known standard quality.
2. Lower counter party risk contracts are marked to the market on a
daily basis, and a central clearing house monitors the ability of all
counter parties to meet the obligations.
3. Better regulations. Most options exchanges are subject to stringent
regulation by government authorities.
4. Market traded options are normally American style options may
be exercised at any time. OTC are options which are often
European style, and can only be exercised at their maturity date.
5. There is greater price transparency, with current price on the
market immediately available.
Advantages of OTC options
1. OTC options offer a much larger choice of contract size and
maturity which allow the purchaser of the option to tailor the
option much more specifically to individual needs.
2. Option sizes are typically much larger on the OTC market.
3. Options may be arranged for longer periods than is possible with
traded options.
Pricing of Options
Writers of options need to establish a way of pricing them. This is
important because there has to be a method of deciding what premium
to charge to the buyers. The pricing model for call options are based on
the Black-Scholes model.
Factors Determining the Value (Price) Of the Option
1. The price of the underlying item
2. The exercise price
3. Time to expiry of the option
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4. Interest rate
5. Volatility of underlying item.
The Price of the Underlying Item
For a call option, the greater the price for the underlying item the greater
the value of the option to the holder. The price of the underlying item is
the market prices for buying and selling the underlying item. However,
mid-price is usually used for option pricing, for example, if price is quoted
as 200-202, then a mid-price of 201 should be used.
The Exercise Price
For a call option the lower the exercise price the greater the value of the
option. For a put option the greater the exercise price, the greater the
value of the option. The exercise price will be stated in terms of the
option contract.
Time to Expiry of The Option
The larger the remaining to expiry, the greater the probability that the
underlying item will rise in value. Call options are worth more the longer
the time to expiry (time value) because there is more time for the price
of the underlying item to rise. Put options are worth more if the price of
the underlying item falls over time. The term to expiry will also be stated
in the terms of the option contract.
Interest Rate or Risk Free Rates
The seller of a call option will receive initially a premium and if the option
is exercised, the exercise price at the exercised date. If interest rate rises
the present value of the exercise price will diminish and he will therefore
ask for a higher premium to compensate for his risk. The risk free rate such
as treasury bills is usually used as the interest rate.
Volatility of Underlying Item
The greater the volatility of the price of the underlying item the greater
the probability of the option yielding profits. The volatility represents the
standard deviation of day-to-day price changes in the underlying item,
expressed as an annualized percentage.
Summary of the determinants of call and put option prices
Increase in
Call
Share price
Increase
Exercise price
Decrease
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Put
Decrease
Increase
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Time to expiry
Increase
Increase
Volatility
Increase
Increase
Interest rate
Increase
Decrease
THE GREEKS
In principle, an option writer could sell options without hedging his
position. If the premiums received accurately reflect the expected
payouts at expiry, there is theoretically no profit or loss on average. This
is analogous to an insurance company not reinsuring it business. In
practice, however, the risk that any one option may move sharply inthe-money makes this too dangerous. In order to manage a portfolio of
options, the dealer must know how the value of the options he has sold
and bought will vary with changes in the various factors affecting their
price. Such assessments of sensitivity are measured by the ‘Greeks’
which can be used by options traders in evaluating their hedge
positions.
DELTA
For each option held, the delta value can be established i.e:
Delta =
change in option price
Change in price underlying security
Delta is a measure of how much an option premium changes in
response to a change in the security price. For instance, if a change in
share price of 5p results in a change in the option premium of 1p, then
the delta has a value of (1p/5p) 0.2.
Therefore, the writer of options needs to hold five times the number of
options than shares to achieve a delta hedge. The delta value is likely
to change during the period of the option, and so the option writer
may need to change his holdings to maintain his delta hedge position.
Accordingly a writer can hedge a holding of 300,000 shares using
options with a delta value estimated by N(d1) of 0.6, by holding the
following number of LIFFE contracts (each on 1,000 shares).
Number of shares
= 300,000
Delta value × contract size
0.6 × 1,000
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=
500 contracts.
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A delta value ranges between 0 and +1 for call options, and between
0 and -1 for put options. The actual delta value depends on how far it is
in-the-money or out-of-the-money.
GAMMA
Gamma measures the amount by which the delta value changes as
underlying security prices change. This is calculated as the:
Change in the delta value
Change in the price of the underlying security
VEGA
Vega measures the sensitivity of the option premium to a change in
volatility. As indicated above high volatility increases the price of an
option. Therefore any change in volatility can affect the option
premium. Thus:
Vega = change in the option price
Change in volatility
Note: vega is the name of a star, not a letter of the Greek alphabet.
THETA
Theta measures how much the option premium changes with the
passage of time. The passage of time affects the price of any
derivative instrument because derivatives eventually expire. An option
will have a lower value as it approaches maturity. Thus:
Thata = change in the option price (due to changes in value)
Change in time to expiry
RHO
Rho measures how much the option premium responds to changes in
interest rates. Interest rates affect the price of an option because
today’s price will be a discounted value of future cash flows with
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interest rates determining the rate at which this discounting takes
place. Thus:
Rho = change in the option price
Change in the rate of interest
Summary of The Greeks
Change in
In response to
change in
Delta
Option premium
Value of underlying
security
Gamma
Delta value
Value of underlying
security
Vega
Option premium
volatility
Theta
Time value in option
premium
Time to expiry
Rho
Option premium
Risk free rate of
interest
Real Options
Flexibility increases the value of an investment and financial options
theory provides a guide as to how this flexibility can be incorporated
into project appraisal. Conventional project appraisal techniques do
not adequately recognize the value of flexibility. However, real options
theory attempts to apply the principles used in the evaluation of
financial options and develop them for use in capital investment
appraisal.
In some project evaluation situations, a company may have one or
more options to make strategic changes to the project during its life
e.g. the:
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



Option to delay (i.e. defer investment without loss of the
opportunity for further investment, effectively creating a call
option)
Option to expand (i.e. to increase the scale of investment if
market conditions change). Thus the right to expand is
effectively a call option;
Option to abandon (i.e. where a project consists of clearly
identifiable stages, an abandonment option can be considered
at the end of each stage, if this is preferable to continuation).
The right to generate some salvage value if abandonment
occurs is effectively a put option:
Option to redeploy (i.e. switch to another use). This could result
in the creation of a put option if there is salvage value from the
work already performed, together with a call option arising on
the right to commence the new investment at a later stage.
There may even be options to downsize, option is to change inputs or
options, options to shut down and then subsequently restart or,
perhaps, option to invest in stages (as opposed to one single major
investment).
The building of the East Stand at West Bromwich Albion FC is cited as
an example or real options in investment appraisal.
This stand, which contains extensive corporate facilities, was built
between 1999 and 2001 as a single tier stand. However, due to the
stronger foundations which were laid and the design of exits and
walkways etc., it would be relatively straightforward to add a second
tier at some future stage without having to demolish the existing first
tier. Obviously, this single tier stand was more expensive to build than a
conventional one tier stand, but the additional expenditure was the
premium that was paid as a call option to expand, if or when
attendances grow to justify the additional ground capacity.
The black- scholes option pricing model can be applied to real options
(sometimes referred to as ‘embedded option), where there is a single
source of uncertainty and a single expiry date (i.e. a European style
option). Obviously this model employs the usual five features i.e.

Pa: the value of the underlying asset is no longer a share price,

but the PV of the future cash flows arising from the project:
Pe: the exercise price is the volatility expenditure (or receipts)
arising from the option;
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


S: this will represent the volatility (in the form of thetα) of the
operating cash flows related to projects of the type under
consideration.
r: this is the risk free rate of interest, however some writers believe
that additional project risk should be reflected with the use of a
higher interest rate:
t: this is, as usual, the time to expiry for exercising a European
style option:
Question 77 Uniglow
(a) Discuss how an increase in the value of each of the determinants of
the option price in the Black-Scholes option-pricing model for
European options is likely to change the price of a call option.
(8 marks)
(b) Briefly discuss the meaning and importance of the terms ‘delta’,
‘theta’, and ‘vega’ (also known as kappa or lambda) in option pricing.
(6 marks)
(c) Assume that your company has invested in 100,000 shares of
Uniglow plc, a manufacturer of light bulbs. You are concerned about
the recent volatility in Uniglow’s share price due to the unpredictable
weather in the United Kingdom.
You wish to protect your company’s investment from a possible fall in
Uniglow’s share price until winter in three months’ time, but do not wish
to sell the shares at present. No dividends are due to be paid by
Uniglow during the next three months.
Market data:
Uniglow’s current share price: 200 pence
Call option exercise price: 220 pence
Time to expiry: 3 months Interest rate (annual): 6%
Volatility of Uniglow’s shares 50% (standard deviation per year)
Assume that option contracts are for the purchase or sale of units of
1,000 shares.
Required:
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(i) Devise a delta hedge that is expected to protect the investment against
changes in the share price until winter. Delta may be estimated using N (d1).
(9 marks)
(iii)
Comment upon whether or not such a hedge is likely to be totally
successful.
Question 78 Mesmer Magic Co.
Mesmer Magic Co (MMC) is considering whether to undertake the
development of a new computer game based on an adventure film
due to be released in 22 months. It is expected that the game will be
available to buy two months after the film’s release, by which time it will
be possible to judge the popularity of the film with a high degree of
certainty. However, at present, there is considerable uncertainty about
whether the film, and therefore the game, is likely to be successful.
Although MMC would pay for the exclusive rights to develop and sell
the game now, the directors are of the opinion that they should delay
the decision to produce and market the game until the film has been
released and the game is available for sale.
MMC has forecast the following end of year cash flows for the fouryear sales period of the game.
Year
Cash flows ($ million)
1
25
2
18
3
10
4
5
MMC will spend $12 million immediately to develop the game, the
gaming platform, and to pay for the exclusive rights to develop and sell
the game. Following this, the company will require $35 million for
production, distribution and marketing costs at the start of the four year
sales period of the game.
It can be assumed that all the costs and revenues include inflation. The
relevant cost of capital for this project is 11% and the risk free rate is 5%.
MMC has estimated the likely volatility of the cash flows at a standard
deviation of 50%.
Required:
(a) Estimate the financial impact of the directors’ decision to delay the
production and marketing of the game. The Black-Scholes Option Pricing
model may be used, where appropriate. All relevant calculations should be
shown. (13 marks)
(b) Briefly discuss the implications of the answer obtained in part (a) above. (6
marks)
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(c) MMC is funded partly by equity and partly by debt. The yield on its five
year debt is 5.2% and the yield on its ten year debt is 5.4% i.e. MMC faces an
upward sloping yield curve.
Required:
Explain the possible reasons for an upward sloping yield curve. (6 marks)
Mergers &
Acquisitions
Synergy


An expansion policy based on merger or takeover can be justified
on the basis of synergy. (sometimes stated as 2+2=5) ie
Value of A plc
˃ Value of A plc
+
Value of B plc
And B plc combined
operating independently
operating independently
Acquisitions and mergers are ultimately justified as leading to an
increase in shareholders wealth.
The potential for synergy is often classified as follows:
Revenue synergy: sources of which include:
o Economies of vertical integration;
o Market power and the elimination of competition ie the
desire to earn monopoly profits (which is good for
shareholders but not in the public interest);
o Complementary resources e.g. a company with marketing
strengths could usefully combine with the company
owning excellent research and development facilities.
Cost synergy: sources of which include:
o Economies of scale (arising from eg larger production
volumes and bulk buying);
o Economies of scope (which may arise from reduced
advertising and distribution costs where combing
companies have duplicated activities);
o Elimination of inefficiency;
o More effective use of existing managerial talent.
Financial synergy: sources of which include:
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
o Elimination of inefficient management practices;
o Use of the accumulated tax losses of one company that
may be made available to the other party in the business
combination;
o Use of surplus cash to achieve rapid expansion
o Diversification reduces the variance of operating cash
flows giving less bankruptcy risk and therefore cheaper
borrowing;
o Diversification reduces risk (however this is a suspect
argument, since it only reduces total risk not systematic risk
for well diversified shareholders);
o High PE ratio companies can impose their multiples on low
PE ratio companies (however this argument, known as
ˋˋbootstrappingˊˊ, is rather suspect).
Conclusions on synergy
o Synergy is not automic
o When bid premiums are considered, the consistent
winners in mergers and takeovers are victim company
shareholders.
2. High failure rate of acquisitions in enhancing shareholder value
In practice the shareholders of predator companies seldom enjoy
synergistic gains whereas the shareholders of victim companies
benefit from a takeover. The acquiring company often pays a
significant premium over and above the market value of the
target company prior to acquisition; this problem is particularly
acute for the successful predator following a contested takeover
bid.
The reason advanced for the high failure rate of business
combinations from the perspective of the predator shareholders
are as follows:
 Agency theory suggests that takeovers bids are primarily motivated
by the self-interest of the managers of bidding companies. Often free
cash flow mat be used to increase the size of their company in order
to enhance the status of directors who wish to be seen as heading a
large listed plc. Diversification of the activities of the predator may
provide job security for the directors of such companies;
 Over-optimistic assessment of the economies of scale or economies
of scope that may be achieved as a result of the business
combination;
 Inadequate investigation of the victim company prior to the bid
being made, or insufficient appreciation of the problems that may
arise after the acquisition takes place (e.g. the difficulties
experienced by Wm. Morrison Supermarkets following the takeover
of Safeway);
 Following a successful bid, the directors and managers of the
predator become too keen to identify their next victim, instead of
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
devoting time to ensuring that the company that they have already
taken over provides the expected synergies;
Directors of the predator company become so obsessed with the
success of their bid that they fail to seek alternative target
companies. Furthermore, their valuations of the victim and their
justifications for the acquisition become exaggerated.
3. Mode of Offer
Cash Consideration
The offer is made to purchase the shares of the target company for cash.
This method is very appropriate for relatively small acquisitions unless the
acquirer has accumulation of cash from operations or divestments.
The advantages of cash offer to the target entity’s shareholders are that:
 The price that they will receive is obvious. It is not like share exchange
where the movements in the market price may change their wealth.
 The cash purchase increases the liquidity of the target shareholders
who are in position to alter their investments portfolio to meet any
changing opportunities.
A disadvantage to target shareholders’ for receiving cash is that if the
price that they receive is on sale is more than the price paid when
purchasing the shares, they may be liable to capital gains tax.
The advantages to the predator company are that:



The value of the bid is known and target company shareholders’ are
encouraged to sell their shares.
It represents a quick and easily understood approach when
resistance is expected.
The shareholders of the target company are bought out and have
no further participation in the control and profits of the combined
entity.
The main disadvantages to the predator company are that it may
deplete the company’s liquidity position and may increase gearing.
Method of Raising Cash
The predator company can raise cash from many sources to finance
the acquisition, some of the sources are:
 Borrowing To Obtain Cash
The predator company may not have enough cash immediately
available to finance the acquisition and may have to raise the
necessary cash through ban loans and issuing of debt instruments.
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 Mezzanine Finance
Mezzanine finance is a form of finance that combines features of both
debt and equity. It is usually used when the company has used all bank
borrowing capacity and cannot also raise equity capital.
It is a form of borrowing which enables a company to move above what
is considered as acceptable levels of gearing. It is therefore of higher risk
than normal forms of borrowing.
Mezzanine finance is often unsecured.
It offers equity participation in the company either through warrants or
share options. If the venture being financed is successful the lender can
obtain an equity stake in the company.
 Retained Earnings
This method is used when the predator company has accumulated
profits over time and is appropriate when the acquisition involves a small
company and the consideration is reasonably low. This method may be
the cheapest option of finance.
 Vendor Placing
In a vendor placing the predator company issues its shares by placing
the shares with institutional investors to raise the cash required to pay the
target shareholders.
Share Exchange
The predator company issues its own shares in exchange for the shares
of the target company and the shareholders of the target company
become shareholders of the predator company.
The advantages of a share exchange to target shareholders include:


Capital gains tax is delayed
The shareholders of the target company will participate in the
control and profits of the combined entity.
The main disadvantage is that there is uncertainty with a share
exchange where the movements in the market price may change their
wealth.
The advantages to the predator company are that:



It preserves the liquidity position of the company as there are no
outflows of cash.
Share exchange reduces gearing and financial risk. However, this
may depend on the gearing of the target company.
The predator company can bootstrap earnings per share if its
price earnings ratio is higher than that of the target company.
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The main disadvantages of a share exchange are that:




It causes dilution in control
It may cause dilution in earning per share.
As equity shares are issued this comparatively more expensive
than debt capital.
The company may not have enough authorized share capital to
issue the additional shares required.
Debentures, Loan Stock & Preference Shares
Very few companies use debentures, loan stock and preference shares
as a means of paying a purchase consideration on acquisitions.
The main problems of using debentures and loan stock to the predator
company are that:



It affects gearing and financial risk.
Difficulty in determining appropriate interest rate to attract the
shareholders of the target company.
Availability of collateral security against repayment.
The main advantages of using debentures and loan stock are that:
 Interest payments are a tax allowable expense.
 Cost of debt is cheaper than equity.
 Does not dilute control.
The main problems of using preference share are that:
 Dividends on preference shares are fixed and not tax allowable.
 May not be attractive to target shareholders as preference shares
carry no voting power.
 Preference shares are less marketable.
Earn-Out Arrangements
An earn-out arrangement is where the purchase considerations is
structured such that an initial payment is made at the date of acquisition
and the balance is paid depending upon the financial performance of
the target company of the target company over a specified period of
time.
The main advantages of earn-out arrangements are that:

Initial payment is reduced.
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

The risk to the predator company is reduced as it is less likely to
pay more than the target is worth. The price is limited to future
performance.
It encourages the management of the target company to work
hard as the overall consideration depends on future
performance.
4. Strategic Defenses
Post bid
A target company can use the following to defend itself against
a possible takeover:
 Try to convince the shareholders that the terms of the offer
are unacceptable. This can be done using the following:
o Attempt to show that the current share price of the
company is unrealistically low relative to the future
potential. Assets revaluation, new profit forecasts,
dividends and promises of rationalization are
commonly employed here.
o If it is for share for share exchange, the target
company can attempt to convince the shareholders
that the offer’s equity is currently overvalued. The
suitability of the bidding company to run the merged
business can also be questioned.
 Lobbying the office of fair trading and or the department of
trade and industry to have the offer referred to the
competition commission. This will at least delay the takeover
and may prevent it completely.
 Launching an advertising campaign against the takeover
bid. One technique is to attack the account of the predator
company.
 A reverse takeover (Pac Mac), that is make a counter offer
for the predator company. This can be done if the
companies are of reasonably similar size.
 Finding a ‘white knight’, a company which will make a
welcome takeover bid. This involves finding a more suitable
acquirer and promoting it to compete with the predator
company.
 Crown jewels (or scorched earth) policy, with the approval
of shareholders in general meeting.
Pre-bid

Selling crowning jewels- the tactic of selling off certain highly
valued assets of the company subject to a bid is called
selling the crown jewels. The intention is that, without the
crown jewels, the company will be less attractive.
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


Golden parachutes- this is a policy of introducing attractive
termination packages for the senior executives of the victim
company. This makes it more expensive for the predator
company.
Shark repellent- super-majority. The articles of association are
changed to require a very high percentage of shares to
approve an acquisition or merger, say 80%.
Poison pill
The most commonly used and seeming most effective
takeover defence is the so called poison pill.
An example is the Flip-in pill. This involves the granting of
rights to shareholders, other than the potential acquirer, to
purchase the shares of the target company at a deep
discount. This dilutes the ownership interest of the potential
acquirer.
5. Regulation of takeovers
The regulation of takeovers varies from country to country and mainly
concentrates on controlling directors in order to ensure that all
shareholders are treated fairly.
Typically, the rules will require the target company to:
 Notify its shareholders of the identity of the bidder and the terms and
conditions of the bid;
 Seek independent advice;
 Not issue new shares or purchase or dispose of major assets of the
company, unless agreed prior to the bid, without the agreement of
a general meeting;
 Not influence or support the market price of its shares by providing
finance or financial guarantees for the purchase of its own shares;
 The company may not provide information to some shareholders
which is not made available to all shareholders;
 Shareholders must be given sufficient information and time to reach
a decision. No relevant information should be withheld;
 The directors of the company should not prevent a bid succeeding
without giving shareholders the opportunity to decide on the merits
of the bid themselves.
Directors and mangers should disregard their own personal interest when
advising shareholders.
6. Competition commission in United Kingdom
Under the terms of this commission, the office of fair trading (OFT) is
entitled to scrutinize all major mergers and takeovers. If the OFT thinks
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that a merger or takeover might be against the public interest, it can
refer it to competition commission. If no referral is made to the
commission within normally 20 days, the merger can proceed without
fear of a referral.
The function of the competition commission is to advise the government.
The commission can make recommendations to the relevant
government department or to any other body including the companies
involved in the bid.
The result of the investigation by the commission might be:



Withdrawal of the proposal for the merger or takeover, in
anticipation of it rejection by the commission.
Acceptance or rejection of the proposal by the commission.
Acceptance of the proposal by the commission subject to the
new company agreeing to certain conditions laid down by the
commission, for example on prices, employment or arrangement
for the sale of the group’s products.
DARK POOL TRADING
The recent financial crisis has been the alleged (see newspaper article
below) growth of a practice, which is sometimes referred to as “Dark
pool trading”. It is also known as “Dark pool liquidity”, the “Upstairs
market”, “Dark liquidity” or simply “Dark pool”.
The term “Dark pool” relates to trades which are concealed from the
public – as if they had been undertaken in “pools of murky water”.
Many traders believe that such activities should be publicized in order
to make trading more fair for all parties involved, so that all such
transactions are performed on “a level playing field”.
Dark pool trading refers to the volume of trade created by institutional
investors in financial trading venues or “crossing networks” that are
unavailable to the general public. The bulk of Dark pool liquidity is
represented by block trades undertaken away from the central
exchanges. Such transactions are never displayed and are useful for
institutions who wish to deal in large numbers of shares, whilst not
revealing such trades to the open market.
Dark liquidity pools avoid the risk of revealing the actions of such
institutions, since neither the identity of the trader nor the price at which
the transactions took place are displaced. Dark pools are recorded as
over-the-counter transactions, but detailed information is only reported
to clients if they so desire and are under a contractual obligation to do
so.
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The upstairs market allows Fund managers to move large blocks of
equity shares without revealing details as to what has actually
occurred. The lack of human intervention within the electronic
platforms employed has reduced the time scale for such trades. The
increased responsiveness of equity price movements has made it
extremely difficult to trade large blocks of shares without affecting the
price.
A report in “The Independent” newsletter on 25th May 2010 stated:
“Six big investments banks published trading volumes for their “dark
pools” for the first time yesterday, showing them as a tiny fraction of the
market and not the major hidden rivals to stock exchanges that some
argue.
Citi, Credit Suisse, Deutsche Bank, JP Morgan Cazenove, Morgan
Stanley and UBS together executed £596 million (£513 million) of equity
trades from 15 countries on their automated crossing systems on Friday,
according to Markit data.
That accounted for about 0.4 per cent of all types of cash equity
trades in Europe and 1.6 per cent of all over-the-counter (OTC) trades
reported on the Markit BOAT service that day, according to Thomson
Reuters data.
Dark pools are electronic platforms that allow would-be buyers and
sellers of large orders of shares to avoid revealing pre-trade information
and signing their intentions to the rest of the market.
Bankers argue that for the bulk of OTC trades they act purely as
dealers, using their own money or share inventories to take one or
another side, or they act in a non-automated way to match buyers
and sellers for big blocks of stock.”
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Business
Reorganization
Unbundling
Unbundling is the process of selling off incidental non-core
business to release funds, reduce gearing, and allow
management to concentrate on their chosen core business.
The main forms of Unbundling are:
 Divestment.
 Demergers
 Sell-offs.
 Spin-offs.
 Management buy-outs.
Divestment
Divestment is a proportional or complete reduction in ownership
stake in an organization. It is the withdrawal of investment in a
business. This can be achieved either by selling the whole business
to a third party or by selling the assets piecemeal.
Reasons for Divestment
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The principal motive for divestment will be if they either do
not conform to group or business unit strategy.
A company may decide to abandon a particular
product/activity because it fails yield an adequate return.
Allowing management to concentrate on core business.
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To raise more cash possibly to fund new acquisitions or to
pay debts in order to reduce gearing and financial risk.
The management lack the necessary skills for this business
sector.
Protection from takeover possibly by disposing of the
reasons for the takeover or producing sufficient cash to fight
it effectively.
Sell-offs
A sell-off is a form of divestment involving the sale of part of an entity to
a third party, usually in return for cash. The most common reasons for a
sell-off are:
 To divest of less profitable and/or non-core business units.
 To offset cash shortages.
The extreme form of sell-off is liquidation, where the owners of the
company voluntarily dissolve the business, sell-off the assets
piecemeal, and distribute the proceeds amongst themselves.
Spin-offs/demergers
This is where a new company is created and the shares in the new
company are owned by the shareholders of the original company
which is making the distribution of assets. There is no change in
ownership of assets but the assets are transferred to the new company.
The result is to create two or more companies whereas previously there
was only one company. Each company now owns some of the assets
of the original company and the shareholders own the same proportion
of shares in the new company as in the original company.
An extreme form of spin-off is where the original company is split up into
a number of separate companies and the original company broken up
and it ceases to exist. This is commonly called demerger.
Demerger involves splitting a company into two or more separate parts
of roughly comparable size which are large enough to carry on
independently after the split.
The main disadvantages of de-merger are:
 Economies of scale may be lost, where the de-merged parts of
the business had operations in common to which economies
of scale applied.
 The ability to raise extra finance, especially debt finance, to
support new investments and expansion may be reduced.
 Vulnerability to takeovers may be increased.
 There will be lower revenue, profits and status than the group
before the de-merger.
Management Buy-Out (MBO)
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A management buy-out is the purchase of a business from its owners by
its managers. For example, the directors of a company in a subsidiary
company in a group might buy the company from the holding
company, with the intention of running it as proprietors of a separate
business entity.
Reasons for MBOs
MBOs may exist for several reasons including:
 A parent company wishes to divest itself of a business that no
longer fits in with its corporate objectives and strategy.
 A company/group may need to improve its liquidity. In such
circumstances a buy-out might be particularly attractive as it
would normally be for cash.
 A company may decide to abandon a particular product/activity
because it fails to yield an adequate return.
 In administration a buy-out may be the management’s only best
alternative to redundancy.
Advantages of MBOs to disposing company
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To raise cash to improve liquidity.
If the subsidiary is loss-making, sale to the management will
often be better financially than liquidation and closure costs.
There is a known buyer.
Better publicity can be earned by preserving employer’s jobs
rather than closing the business down.
It is better for the existing management to acquire the
company rather than it possibly falling into enemy hands.
Advantages of buy-out to acquiring management
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It preserves their jobs.
It offers them the prospects of significant equity participation in
their company.
It is quicker than starting a similar business from scratch.
They can carry out their own strategies, no longer having to
seek approval from the head office.
Problems with MBOs


Management may have little or no experience financial
management and financial accounting.
Difficulty in determining a fair price to be paid.
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Maintaining continuity of relationships with suppliers and
customers.
Accepting the board representation requirement that many
sources of funding may insist on.
Inadequate cash flow to finance the maintenance and
replacement of assets.
Sources of Finance for MBOs
Several institutions specialize in providing funds for MBOs. These include:

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The clearing banks.
Pension funds and insurance companies.
Venture capital.
Government agencies and local authorities, for example
Scottish Development Agency.
Factors a supplier of finance will consider before lending
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The purchase consideration. Is the purchase price right
or high?
The level of financial commitment of the buy-out team.
The management experience and expertise of the buyout team.
The stability of the business’s cash flows and the
prospects for the future growth.
The rate of technological change in the industry and the
costs associated with the changing technologies.
The level of actual and potential competition.
The likely time required for the business to achieve a
stock market flotation, (s0 as to provide an exit route for
the venture capitalist).
Availability of security.
Conditions attached to provision of finance
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Board representation for the venture capitalist.
Equity options.
A right to take a controlling equity stake and so replace
the existing management if the company fails to
achieve specified performance targets.
Management buy-in
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A management buy-ins occurs when a group of outside managers buys
a controlling stake in a business.
Share Repurchase
Any limited company may, if authorized by it articles, purchase its own
shares. The Companies Act permits any company to purchase its own
shares. Therefore if a company has surplus cash and cannot think of any
profitable use of that cash, it can use that cash to purchase its own
shares.
Share repurchase is an alternative to dividend policy where the
company returns cash to its shareholders by buying shares from the
shareholders in order to reduce the number of shares in issue.
Shares may be purchased either by:
 Open market purchase – the company buys the shares from the
open market at the current market price.
 Individual arrangement with institutional investors.
 Tender offer to all shareholders.
Reasons for Share Repurchase
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Shares may be purchased in order to buy out dissident
shareholders.
To adjust the gearing ratio towards an optimal capital
structure.
Reduction in the size of the company. Where circumstances
indicate a permanent reduction in company size is desirable
this can be achieved easily with share repurchase and
subsequent cancellation of the shares.
Purchase of own shares may be used to take a company out
of the public market and back into private ownership.
Purchase of own shares provide an efficient means of returning
surplus cash to the shareholders.
It enables companies to reduce total dividend payments
whiles maintaining or increasing the level of dividend to
individual shareholders. This may mean more earnings
available for capital investment which leads to growth.
Purchase of own shares increases earning per share and return
on capital employed.
To increase the share price by creating artificial demand.
Problems of Share Repurchase
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Lack of new ideas. Shares repurchase may be interpreted as a
sign that the company has no new ideas for future investments
strategy. This may cause the share to fall.
Costs. Compared with a one-off dividend payment, share
repurchase will require more time and transaction costs to
arrange.
Resolution. Shareholders have to pass a resolution and it may
be difficult to obtain their consent.
Gearing. If the equity base is reduced because of share
repurchase, gearing may increase and financial risk may
increase.
Going private
A public company may occasionally give up its stock market quotation
and return itself to the status of a private company.
The reasons for such move are varied, but are generally linked to the
disadvantages of being in the stock market and the inability of the
company to obtain the supposed benefits of a stock market quotation.
Other reasons are:
 To avoid the possibility of takeover by another company.
 Savings of annual listing costs.
 To avoid detailed regulations associated with being a listed
company.
 Where the stock market undervalues the company’s shares.
 Protection from volatility in share price with its financial problems.
CAPITAL RECONSTRUCTION SCHEMES
A capital reconstruction scheme is a scheme whereby a company
reorganizes its capital structure by changing the rights of its shareholders
and possibly the creditors. This can occur in a number of circumstances,
the most common being when a company is in financial difficulties, but
also when a company is seeking floatation or being acquired.
Financial difficulties
If a company is in financial difficulties it may have no recourse but to
accept liquidation as the final outcome.
Typical financial difficulties
 Large accumulated losses.
 Large arrears of dividends on cumulative preference shares.
 Large arrears of debenture interest.
 No payment of ordinary dividend.
 Market share price below nominal value.
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However, it may be in position to survive, and indeed flourish, by taking
up some future contract or opening in the market. The only major
problem is the cash needed to finance such operations because the
present structure of the company will not be attractive to outside
investors. To get cash the company will need to reorganize or
reconstruct.
Possible reconstruction
The changing or reconstruction of the company’s capital could solve
these problems. The company can take any or all of the following steps:

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Write off the accumulated losses.
Write of the debenture interest and preference share dividend
arrears.
Write down the nominal value of the shares.
To do this the company must ask all or some of its existing stakeholders
to surrender existing rights and amount owing in exchange for new rights
under a new or reformed company.
The question is why would the stakeholders be willing to do this? The
answer to this is that it may be preferable to the alternatives which are:


To accept whatever return they could be given in a liquidation;
To remain as they are with the prospect of no return from their
investment and no growth in their investment.
Generally, stakeholders may be willing to give up their existing rights and
amounts owing (which are unlikely to be met) for the opportunity to
share in the growth in profits which may arise from the extra cash which
can be generated as a consequence of their actions.
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Question Bank (Complete)
*Investment Appraisals*
Local - M/J 2019, Ferhurst (S/D 2016)
International- Chmura (Dec 2013), Yilandre (June 2015), Tramont (Pilot
2012)
*Restructuring*
Cigno (S/D 2015)
Bento (June 2015)
Chyrsos (M/J 2017)
Fluffort (S/D 2015)
*Risk Adjusted WACC/ WACC Questions*
Morada- Sept/Dec 2016
Coeden- Dec 2012
Tisa - June 2012
Makonis- Dec 2013
Rivere - Dec 2014
*Interest Rate Risk Past Questions*
March/June 2019 Q3
Awan Co - December 2013
Alecto- Pilot 2012
Keshi- December 2014
Daikon- June 2015
Armstrong- September/December 2015
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Wardegal- September/December 2017
*Currency Risk Past Questions*
Cassasophia - June 2011
Kenduri - June 2013
Nutourne - December 2018
Lammer- June 2006
Lirio - March/June 2016
Adverane- March/June 2018
Washi - September 2018
Lignum- December 2012
CMC - Pilot question
*APV Questions*
Burong- June 2014
March/June 2018 Q2
December 2018 Q3
Strayer - June 2002
Tramont - Pilot 2012
*Bonds*
Toltuck- March/June 2017
GNT- Pilot 2012
Kenand
Levante - December 2011
Conejo- September/December 2017
*Mergers and Acquisitions*
Pursuit - June 2011
Cigno Sept/Dec 2015
Chikepe- March/June 2018
Nente- June 2012
Opao - Dec 2018
Nahara and Fugae - Dec 2014
Vogel- June 2014
*Dividend Capacity*
Arthuro- M/J 2018
Lirio -M/J 2016
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