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Learning Objectives

4. Appraise the use of the cost of capital as the discount rate in capital budgeting analysis.

(LO 4 )

5. Integrate the cash flows that result from an investment decision, including the after tax operating benefits and the tax shield benefits of capital cost allowance (amortization). (LO 5 )

6. Perform NPV analysis to assist in the decisionmaking process concerning long-run investments. (LO 6 )

©2012 McGraw-Hill Ryerson Limited

LO6

Making Investment Decisions

• When estimating cash flows for an investment proposal, remember that only those cash flows resulting from the potential acceptance decision are relevant and should be included in your estimation.

• For example, a proposal of purchasing a new van to replace an old van should only include the net cost of the new van, that is, the difference between the cost of the new van and the sale price of the old van.

• The present value of CCA tax shield =

[ C pv

S pv

] 

 dT c 



 r

1

 r

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Table 12-13

Net present value of resultant cash flows at

12%

LO6

Investment in Vans

Year

0

Cash Flow

Purchase vans

Amount

-$30,000

(1 – t)

---

Aftertax

Cash Flow

0

1-4

4

Sell old van

Operating

Salvage

500

17,000

4,000

---

0.61

---

$10,370

Present value of CCA tax shields ($30,000 - $500 - $2,542) (0.263647)*

Net present value of resultant cash flows and initial investment

*This number is from our calculation using formula 12-1

Present

Value

-$30,000

500

31,497

2,542

7,107

$11,646

©2012 McGraw-Hill Ryerson Limited

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Table 12-14

IRR solution framework using 25%

Investment in Vans

Year Cash Flow Amount (1 – t)

0

0

1-4

Purchase vans

Sell old van

Operating

-$30,000

500

17,000

4,000

---

---

0.61

--4 Salvage

Present value of CCA tax shields

($30,000 - $500 - $1,638) (0.30) (0.39) (1 + 0.5(0.25)

0.25 + 0.30 1 + 0.25

= $27,862 (0.212727) (0.90)

Net present value of resultant cash flows and initial investment

Aftertax

Cash Flow

$10,370

Present

Value

-$30,000

500

24,490

1,638

5,334

$1,962

LO6

©2012 McGraw-Hill Ryerson Limited

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Making Investment Decisions

To make the actual investment decision:

1) determine the net cash outflow arising from the initial investment

2) estimate the amounts and timing of net future cash inflows (aftertax)

3) discount the future cash flows back to the present

4) add the present value of the Capital Cost Allowance shield, using the formula and appropriate CCA rate

5) determine whether the machine should be purchased

(if NPV > 0 )

LO6

©2012 McGraw-Hill Ryerson Limited

LO6

Table 12-15

Net price of the new computer

Price of the new computer . . . . . . . . . . . . . . . . . . . . . . . . $150,000

- Investment tax credit (15%) or $22,500 . . . . . . . . . . . . . 19,737*

Net price of new computer . . . . . . . . . . . . . . . . . . . . . . . . 130,263

- Cash inflow from sale of old computer . . . . . . . . . . . . . 40,000

Net cost of new computer . . . . . . . . . . . . . . . . . . . . . . . . . $ 90,263

* Our assumption about cash flows (revenues, expenses) and tax-initiated cash flows is that they occur at the end of the year. Therefore, the tax credit of

$22,500 is discounted one year. The CCA pool is affected in the year after acquisition. The CCA tax shield formula is constructed assuming tax savings effects occur at the end of the year.

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LO6

Table 12-16

Differential analysis of new computer

Year

0

Cash Flow

New computer

Amount

-$90,263

(1

– Tax rate)

---

0

1

2

3

4

5

5

Working capital investment

Cost savings

Cost savings

Cost savings

Cost savings

Cost savings

Salvage

-5,000

20,000

38,000

40,000

45,000

45,000

30,000

---

0.61

0.61

0.61

0.61

0.61

---

0 Working capital recovery 5,000

Present value of CCA tax shield benefits … (from calculation)

---

Net present value

Aftertax

Cash Flow

---

---

12,200

23,180

24,400

27,450

27,450

---

---

Present Value

(@ 14%)

-$90,263

*The present value of all the cost savings may be handled in one output from the calculator, particularly if it is an annuity.

-5,000

10,702

17,836

16,469

16,253

14,257*

15,581

2,597

20,490

$18,922

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Discounted Cash Flows Models – The

LO6

Difficulties

• Both NPV and IRR models require the estimation of future expected cash flows and the selection of an appropriate opportunity cost of capital.

• There can be difficulties and mistakes estimating future cash flows.

• Also bias in estimates based by managers who wish to see their project accepted.

• Despite the use of models to determine the discount rate, its determination is a judgement call.

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