University of California, Merced
ENGR 155: Engineering Economic Analysis
Final Exam - Summer 2022
Name:
UCM ID:
Part I: -----------------------------------------
/10
Part II: ----------------------------------------
/10
Part III: ----------------------------------------
/30
Total: ------------------------------------------
/50
Exam Time: 5:30 PM - 7:20 PM
Submission Time: 7:20 PM - 7:35 PM
Submission Time with 15% penalty: 7:35 PM - 7:45 PM
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(Any Texas Instruments calculator must have
“TI-30X” or “TI-36X” in its model name.)
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Part – I: Multiple-choice Questions (No Partial Credit)
Each Multiple-choice question worth 2 points
1. Depreciation is the reduction in purchase value of a tangible business asset over its useful
life due to the following reasons. Select all that apply.
A) Age
B) Wear
C) Deterioration
D) Obsolescence
2. An earthwork contractor installed a water main that was completed in March 2018 with
an actual project cost of $1250/LF. A similar project is being bid in June 2021. The
contractor’s estimate using an annual construction inflation factor of 3.5% is most nearly.
A) $1,398/LF
B) $1,420/LF
C) $1,278/LF
D) $1,447/LF
3. The construction of a new Indian restaurant in Merced requires the property development
firm to pay the municipality the cost to expand its sewage treatment plant. In addition to
the expansion costs, the developer must pay $120,000 annually toward the plant
operating costs. The developer plans to finance the annual costs by placing money into a
fund that earns 10% per year to pay its share of the plant operating cost forever. The
amount to the fund is most nearly.
A) $120,000
B) $1,200,000
C) $625,000
D) None
4. Given the following, calculate the third-year book value using straight-line depreciation?
Cost basis of the asset = $12000; Useful life = 5 years; Estimated salvage value = $4,000
A)
$7,200
B)
$10,400
C)
$8,800
D)
$5,600
5. A distribution center purchased an equipment for $100,000 and has depreciated the
equipment using the MACRS depreciation schedule as a 7-year property. The operating
income in year 2 was $200,000 and the expenses were $87,000. If the company is in the
40% income tax bracket, determine the income tax in year 2
A)
$87,520
B)
$48,545
C)
$35,404
D)
$57840
Part - II: Fill-in-the-blank Questions (No Partial Credit)
Each Fill-in-the blank question worth 2 points
6. Excel functions to be used for the following methods.
a)
Straight Line: _________________
b)
Double Declining Balance: ______________
c)
Sum of Years Digits: _______________
d)
Variable Declining Balance: _____________
7. For simplicity, assume that Engineered Industries will not pay dividends in 2018 and did
not sell any capital equipment. It did purchase $965,000 in capital equipment. Total fixed
assets in dollars _____________________at the end of 2018.
8. Book value is the value of an asset that measures the influence of _________________
9. The financial data below for Tech Engineering in 2016. Determine the working capital for
the company is_______________________ & Current ratio is ____________________
Category Dollar Amount
Cash
$800,000
Account receivable
$1,000,000
Inventories
$600,000
Intangibles
$100,000
Accounts payable
$650,000
Accrued Expenses
$180,000
10. Find the expected EUAW from the financial data provided in the table for a new
equipment. Because of the uncertainty of technology being used in this equipment, it has
not been possible to get the initial cost accurately. The annual benefit, however, is
estimated to be $25,000 with a possible equipment life of 5 years. The salvage value is
expected to be 10% of the initial cost. MARR =8%
Expected EUAW is ____________________
First Cost, $
$60,000
$80,000
$100,000
$120,000
Probability
0.25
0.35
0.30
0.10
PART – III: Problem Solving Questions (Have Partial Credit)
Problem # 11 through 15, don't use excel to solve the problems
11. A project has the following cost, benefit data, and life probability distribution. Compute
the conventional B/C ratio using the expected EUAC. (10 Points)
Initial Cost = $15M
Annual O&M Cost = $500K
Annual Benefit = $4M
MARR = 8%
Life
7
8
9
Probability
0.20
0.50
0.30
12. A company that manufactures food and beverages in the vending industry has purchased
some handling equipment that cost $70,000 and will be depreciated using 3-year
MACRS. Show in a table the yearly depreciation amount and book value of the asset over
its depreciable life. (5 Points)
13. Florida Construction Equipment Rentals (FCER) purchases a new 12,000-pound-rated
crane for rental to its customers. This crane costs $1,125,000 and is expected to last for
25 years, at which time it will have an expected salvage value of $150,000. FCER earns
$200,000 before-tax cash flow each year in rental income from this crane, and its total
taxable income each year is between $10,000,000 and $15,000,000. If FCER uses
straight-line depreciation and a MARR of 15%, what is the present worth of the after -tax
cash flow for this equipment? Should the crane invest in this crane? (5 Points)
Use tax rate as 35%
14. Samantha receives a starting salary offer of $105,000 for Year 1. If inflation is 5% each
year, what must her salary to be to have the same purchasing power in Year 5, Year 10,
Year 15, Year 20? (5 Points)
15. Compute the equivalent annual inflation rate based on the Consumer Price Index, for the
period from 1990 to 2017? (5 Points)
Book Value = Asset cost – Depreciation charges made to date
Straight – line depreciation
Double declining balance (DDB)
𝑈𝑂𝑃 𝑑𝑒𝑝𝑟𝑒𝑐𝑖𝑎𝑡𝑖𝑜𝑛 𝑖𝑛 𝑎𝑛𝑦 𝑦𝑒𝑎𝑟 =
𝑃𝑟𝑜𝑑𝑢𝑐𝑡𝑖𝑜𝑛 𝑓𝑜𝑟 𝑦𝑒𝑎𝑟
(𝐵 − 𝑆)
𝑇𝑜𝑡𝑎𝑙 𝑙𝑖𝑓𝑒𝑡𝑖𝑚𝑒 𝑝𝑟𝑜𝑑𝑢𝑐𝑡𝑖𝑜𝑛
Combined incremental tax rate = State tax rate + (Federal tax rate) (1 - State tax rate)
◼ Taxable income = Before-tax cash flow − Depreciation
◼ Income taxes = Taxable income × Incremental tax rate
◼ After-tax cash flow = Before-tax cash flow − Income taxes
(1 + i) = (1 + i′) (1 + f)
i = i′ + f +(i′) (f)
𝐴𝑛𝑛𝑢𝑎𝑙 % 𝑖𝑛𝑐𝑟𝑒𝑎𝑠𝑒𝑛 =
𝐼𝑛𝑑𝑒𝑥𝑛 − 𝐼𝑛𝑑𝑒𝑥𝑛−1
× 100
𝐼𝑛𝑑𝑒𝑥𝑛−1
Assets = Liabilities + Equity
Working Capital = Current assets – Current liabilities
608 APPENDIX C: COMPOUND INTEREST TABLES
5%
Compound Interest Factors
Single Payment
5%
Uniform Payment Series
Compound
Amount
Factor
Find F
Given P
F/P
Present
Worth
Factor
Find P
Given F
P/F
1
2
3
4
5
1.050
1.102
1.158
1.216
1.276
.9524
.9070
.8638
.8227
.7835
1.0000
.4878
.3172
.2320
.1810
1.0500
.5378
.3672
.2820
.2310
1.000
2.050
3.152
4.310
5.526
0.952
1.859
2.723
3.546
4.329
0
0.488
0.967
1.439
1.902
0
0.907
2.635
5.103
8.237
1
2
3
4
5
6
7
8
9
10
1.340
1.407
1.477
1.551
1.629
.7462
.7107
.6768
.6446
.6139
.1470
.1228
.1047
.0907
.0795
.1970
.1728
.1547
.1407
.1295
6.802
8.142
9.549
11.027
12.578
5.076
5.786
6.463
7.108
7.722
2.358
2.805
3.244
3.676
4.099
11.968
16.232
20.970
26.127
31.652
6
7
8
9
10
11
12
13
14
15
1.710
1.796
1.886
1.980
2.079
.5847
.5568
.5303
.5051
.4810
.0704
.0628
.0565
.0510
.0463
.1204
.1128
.1065
.1010
.0963
14.207
15.917
17.713
19.599
21.579
8.306
8.863
9.394
9.899
10.380
4.514
4.922
5.321
5.713
6.097
37.499
43.624
49.988
56.553
63.288
11
12
13
14
15
16
17
18
19
20
2.183
2.292
2.407
2.527
2.653
.4581
.4363
.4155
.3957
.3769
.0423
.0387
.0355
.0327
.0302
.0923
.0887
.0855
.0827
.0802
23.657
25.840
28.132
30.539
33.066
10.838
11.274
11.690
12.085
12.462
6.474
6.842
7.203
7.557
7.903
70.159
77.140
84.204
91.327
98.488
16
17
18
19
20
21
22
23
24
25
2.786
2.925
3.072
3.225
3.386
.3589
.3419
.3256
.3101
.2953
.0280
.0260
.0241
.0225
.0210
.0780
.0760
.0741
.0725
.0710
35.719
38.505
41.430
44.502
47.727
12.821
13.163
13.489
13.799
14.094
8.242
8.573
8.897
9.214
9.524
105.667
112.846
120.008
127.140
134.227
21
22
23
24
25
26
27
28
29
30
3.556
3.733
3.920
4.116
4.322
.2812
.2678
.2551
.2429
.2314
.0196
.0183
.0171
.0160
.0151
.0696
.0683
.0671
.0660
.0651
51.113
54.669
58.402
62.323
66.439
14.375
14.643
14.898
15.141
15.372
9.827
10.122
10.411
10.694
10.969
141.258
148.222
155.110
161.912
168.622
26
27
28
29
30
31
32
33
34
35
4.538
4.765
5.003
5.253
5.516
.2204
.2099
.1999
.1904
.1813
.0141
.0133
.0125
.0118
.0111
.0641
.0633
.0625
.0618
.0611
70.761
75.299
80.063
85.067
90.320
15.593
15.803
16.003
16.193
16.374
11.238
11.501
11.757
12.006
12.250
175.233
181.739
188.135
194.416
200.580
31
32
33
34
35
40
45
50
55
60
7.040
8.985
11.467
14.636
18.679
.1420
.1113
.0872
.0683
.0535
.00828
.00626
.00478
.00367
.00283
.0583
.0563
.0548
.0537
.0528
120.799
159.699
209.347
272.711
353.582
17.159
17.774
18.256
18.633
18.929
13.377
14.364
15.223
15.966
16.606
229.545
255.314
277.914
297.510
314.343
40
45
50
55
60
65
70
75
80
85
23.840
30.426
38.832
49.561
63.254
.0419
.0329
.0258
.0202
.0158
.00219
.00170
.00132
.00103
.00080
.0522
.0517
.0513
.0510
.0508
456.795
588.525
756.649
971.222
1 245.1
19.161
19.343
19.485
19.596
19.684
17.154
17.621
18.018
18.353
18.635
328.691
340.841
351.072
359.646
366.800
65
70
75
80
85
90
95
100
80.730
103.034
131.500
.0124
.00971
.00760
.00063
.00049
.00038
.0506
.0505
.0504
1 594.6
2 040.7
2 610.0
19.752
19.806
19.848
18.871
19.069
19.234
372.749
377.677
381.749
90
95
100
n
Sinking
Fund
Factor
Find A
Given F
A/F
Capital
Recovery
Factor
Find A
Given P
A/P
Compound
Amount
Factor
Find F
Given A
F/A
Arithmetic Gradient
Present
Worth
Factor
Find P
Given A
P/A
Gradient
Uniform
Series
Find A
Given G
A/G
Gradient
Present
Worth
Find P
Given G
P/G
n
APPENDIX C: COMPOUND INTEREST TABLES
8%
Compound Interest Factors
Single Payment
8%
Uniform Payment Series
Present
Worth
Factor
Find P
Given F
P/F
1
2
3
4
5
1.080
1.166
1.260
1.360
1.469
.9259
.8573
.7938
.7350
.6806
1.0000
.4808
.3080
.2219
.1705
1.0800
.5608
.3880
.3019
.2505
1.000
2.080
3.246
4.506
5.867
0.926
1.783
2.577
3.312
3.993
0
0.481
0.949
1.404
1.846
0
0.857
2.445
4.650
7.372
1
2
3
4
5
6
7
8
9
10
1.587
1.714
1.851
1.999
2.159
.6302
.5835
.5403
.5002
.4632
.1363
.1121
.0940
.0801
.0690
.2163
.1921
.1740
.1601
.1490
7.336
8.923
10.637
12.488
14.487
4.623
5.206
5.747
6.247
6.710
2.276
2.694
3.099
3.491
3.871
10.523
14.024
17.806
21.808
25.977
6
7
8
9
10
11
12
13
14
15
2.332
2.518
2.720
2.937
3.172
.4289
.3971
.3677
.3405
.3152
.0601
.0527
.0465
.0413
.0368
.1401
.1327
.1265
.1213
.1168
16.645
18.977
21.495
24.215
27.152
7.139
7.536
7.904
8.244
8.559
4.240
4.596
4.940
5.273
5.594
30.266
34.634
39.046
43.472
47.886
11
12
13
14
15
16
17
18
19
20
3.426
3.700
3.996
4.316
4.661
.2919
.2703
.2502
.2317
.2145
.0330
.0296
.0267
.0241
.0219
.1130
.1096
.1067
.1041
.1019
30.324
33.750
37.450
41.446
45.762
8.851
9.122
9.372
9.604
9.818
5.905
6.204
6.492
6.770
7.037
52.264
56.588
60.843
65.013
69.090
16
17
18
19
20
21
22
23
24
25
5.034
5.437
5.871
6.341
6.848
.1987
.1839
.1703
.1577
.1460
.0198
.0180
.0164
.0150
.0137
.0998
.0980
.0964
.0950
.0937
50.423
55.457
60.893
66.765
73.106
10.017
10.201
10.371
10.529
10.675
7.294
7.541
7.779
8.007
8.225
73.063
76.926
80.673
84.300
87.804
21
22
23
24
25
26
27
28
29
30
7.396
7.988
8.627
9.317
10.063
.1352
.1252
.1159
.1073
.0994
.0125
.0114
.0105
.00962
.00883
.0925
.0914
.0905
.0896
.0888
79.954
87.351
95.339
103.966
113.283
10.810
10.935
11.051
11.158
11.258
8.435
8.636
8.829
9.013
9.190
91.184
94.439
97.569
100.574
103.456
26
27
28
29
30
31
32
33
34
35
10.868
11.737
12.676
13.690
14.785
.0920
.0852
.0789
.0730
.0676
.00811
.00745
.00685
.00630
.00580
.0881
.0875
.0869
.0863
.0858
123.346
134.214
145.951
158.627
172.317
11.350
11.435
11.514
11.587
11.655
9.358
9.520
9.674
9.821
9.961
106.216
108.858
111.382
113.792
116.092
31
32
33
34
35
40
45
50
55
60
21.725
31.920
46.902
68.914
101.257
.0460
.0313
.0213
.0145
.00988
.00386
.00259
.00174
.00118
.00080
.0839
.0826
.0817
.0812
.0808
259.057
386.506
573.771
848.925
1 253.2
11.925
12.108
12.233
12.319
12.377
10.570
11.045
11.411
11.690
11.902
126.042
133.733
139.593
144.006
147.300
40
45
50
55
60
65
70
75
80
85
148.780
218.607
321.205
471.956
693.458
.00672
.00457
.00311
.00212
.00144
.00054
.00037
.00025
.00017
.00012
.0805
.0804
.0802
.0802
.0801
1 847.3
2 720.1
4 002.6
5 887.0
8 655.7
12.416
12.443
12.461
12.474
12.482
12.060
12.178
12.266
12.330
12.377
149.739
151.533
152.845
153.800
154.492
65
70
75
80
85
.00098
.00067
.00045
.00008
.00005
.00004
.0801
.0801
.0800
12 724.0
18 701.6
27 484.6
12.488
12.492
12.494
12.412
12.437
12.455
154.993
155.352
155.611
90
95
100
90
95
100
1 018.9
1 497.1
2 199.8
Capital
Recovery
Factor
Find A
Given P
A/P
Compound
Amount
Factor
Find F
Given A
F/A
Arithmetic Gradient
Compound
Amount
Factor
Find F
Given P
F/P
n
Sinking
Fund
Factor
Find A
Given F
A/F
611
Present
Worth
Factor
Find P
Given A
P/A
Gradient
Uniform
Series
Find A
Given G
A/G
Gradient
Present
Worth
Find P
Given G
P/G
n
APPENDIX C: COMPOUND INTEREST TABLES
10%
Compound Interest Factors
Single Payment
10%
Uniform Payment Series
Present
Worth
Factor
Find P
Given F
P/F
1
2
3
4
5
1.100
1.210
1.331
1.464
1.611
.9091
.8264
.7513
.6830
.6209
1.0000
.4762
.3021
.2155
.1638
1.1000
.5762
.4021
.3155
.2638
1.000
2.100
3.310
4.641
6.105
0.909
1.736
2.487
3.170
3.791
0
0.476
0.937
1.381
1.810
0
0.826
2.329
4.378
6.862
1
2
3
4
5
6
7
8
9
10
1.772
1.949
2.144
2.358
2.594
.5645
.5132
.4665
.4241
.3855
.1296
.1054
.0874
.0736
.0627
.2296
.2054
.1874
.1736
.1627
7.716
9.487
11.436
13.579
15.937
4.355
4.868
5.335
5.759
6.145
2.224
2.622
3.004
3.372
3.725
9.684
12.763
16.029
19.421
22.891
6
7
8
9
10
11
12
13
14
15
2.853
3.138
3.452
3.797
4.177
.3505
.3186
.2897
.2633
.2394
.0540
.0468
.0408
.0357
.0315
.1540
.1468
.1408
.1357
.1315
18.531
21.384
24.523
27.975
31.772
6.495
6.814
7.103
7.367
7.606
4.064
4.388
4.699
4.996
5.279
26.396
29.901
33.377
36.801
40.152
11
12
13
14
15
16
17
18
19
20
4.595
5.054
5.560
6.116
6.728
.2176
.1978
.1799
.1635
.1486
.0278
.0247
.0219
.0195
.0175
.1278
.1247
.1219
.1195
.1175
35.950
40.545
45.599
51.159
57.275
7.824
8.022
8.201
8.365
8.514
5.549
5.807
6.053
6.286
6.508
43.416
46.582
49.640
52.583
55.407
16
17
18
19
20
21
22
23
24
25
7.400
8.140
8.954
9.850
10.835
.1351
.1228
.1117
.1015
.0923
.0156
.0140
.0126
.0113
.0102
.1156
.1140
.1126
.1113
.1102
64.003
71.403
79.543
88.497
98.347
8.649
8.772
8.883
8.985
9.077
6.719
6.919
7.108
7.288
7.458
58.110
60.689
63.146
65.481
67.696
21
22
23
24
25
26
27
28
29
30
11.918
13.110
14.421
15.863
17.449
.0839
.0763
.0693
.0630
.0573
.00916
.00826
.00745
.00673
.00608
.1092
.1083
.1075
.1067
.1061
109.182
121.100
134.210
148.631
164.494
9.161
9.237
9.307
9.370
9.427
7.619
7.770
7.914
8.049
8.176
69.794
71.777
73.650
75.415
77.077
26
27
28
29
30
31
32
33
34
35
19.194
21.114
23.225
25.548
28.102
.0521
.0474
.0431
.0391
.0356
.00550
.00497
.00450
.00407
.00369
.1055
.1050
.1045
.1041
.1037
181.944
201.138
222.252
245.477
271.025
9.479
9.526
9.569
9.609
9.644
8.296
8.409
8.515
8.615
8.709
78.640
80.108
81.486
82.777
83.987
31
32
33
34
35
40
45
50
55
60
45.259
72.891
117.391
189.059
304.482
.0221
.0137
.00852
.00529
.00328
.00226
.00139
.00086
.00053
.00033
.1023
.1014
.1009
.1005
.1003
442.593
718.905
1 163.9
1 880.6
3 034.8
9.779
9.863
9.915
9.947
9.967
9.096
9.374
9.570
9.708
9.802
88.953
92.454
94.889
96.562
97.701
40
45
50
55
60
65
70
75
80
85
490.371
789.748
1 271.9
2 048.4
3 299.0
.00204
.00127
.00079
.00049
.00030
.00020
.00013
.00008
.00005
.00003
.1002
.1001
.1001
.1000
.1000
4 893.7
7 887.5
12 709.0
20 474.0
32 979.7
9.980
9.987
9.992
9.995
9.997
9.867
9.911
9.941
9.961
9.974
98.471
98.987
99.332
99.561
99.712
65
70
75
80
85
.00019
.00012
.00007
.00002
.00001
.00001
.1000
.1000
.1000
53 120.3
85 556.9
137 796.3
9.998
9.999
9.999
9.983
9.989
9.993
99.812
99.877
99.920
90
95
100
90
95
100
5 313.0
8 556.7
13 780.6
Capital
Recovery
Factor
Find A
Given P
A/P
Compound
Amount
Factor
Find F
Given A
F/A
Arithmetic Gradient
Compound
Amount
Factor
Find F
Given P
F/P
n
Sinking
Fund
Factor
Find A
Given F
A/F
613
Present
Worth
Factor
Find P
Given A
P/A
Gradient
Uniform
Series
Find A
Given G
A/G
Gradient
Present
Worth
Find P
Given G
P/G
n
APPENDIX C: COMPOUND INTEREST TABLES
15%
Compound Interest Factors
Single Payment
15%
Uniform Payment Series
Present
Worth
Factor
Find P
Given F
P/F
1
2
3
4
5
1.150
1.322
1.521
1.749
2.011
.8696
.7561
.6575
.5718
.4972
1.0000
.4651
.2880
.2003
.1483
1.1500
.6151
.4380
.3503
.2983
1.000
2.150
3.472
4.993
6.742
0.870
1.626
2.283
2.855
3.352
0
0.465
0.907
1.326
1.723
0
0.756
2.071
3.786
5.775
1
2
3
4
5
6
7
8
9
10
2.313
2.660
3.059
3.518
4.046
.4323
.3759
.3269
.2843
.2472
.1142
.0904
.0729
.0596
.0493
.2642
.2404
.2229
.2096
.1993
8.754
11.067
13.727
16.786
20.304
3.784
4.160
4.487
4.772
5.019
2.097
2.450
2.781
3.092
3.383
7.937
10.192
12.481
14.755
16.979
6
7
8
9
10
11
12
13
14
15
4.652
5.350
6.153
7.076
8.137
.2149
.1869
.1625
.1413
.1229
.0411
.0345
.0291
.0247
.0210
.1911
.1845
.1791
.1747
.1710
24.349
29.002
34.352
40.505
47.580
5.234
5.421
5.583
5.724
5.847
3.655
3.908
4.144
4.362
4.565
19.129
21.185
23.135
24.972
26.693
11
12
13
14
15
16
17
18
19
20
9.358
10.761
12.375
14.232
16.367
.1069
.0929
.0808
.0703
.0611
.0179
.0154
.0132
.0113
.00976
.1679
.1654
.1632
.1613
.1598
55.717
65.075
75.836
88.212
102.444
5.954
6.047
6.128
6.198
6.259
4.752
4.925
5.084
5.231
5.365
28.296
29.783
31.156
32.421
33.582
16
17
18
19
20
21
22
23
24
25
18.822
21.645
24.891
28.625
32.919
.0531
.0462
.0402
.0349
.0304
.00842
.00727
.00628
.00543
.00470
.1584
.1573
.1563
.1554
.1547
118.810
137.632
159.276
184.168
212.793
6.312
6.359
6.399
6.434
6.464
5.488
5.601
5.704
5.798
5.883
34.645
35.615
36.499
37.302
38.031
21
22
23
24
25
26
27
28
29
30
37.857
43.535
50.066
57.575
66.212
.0264
.0230
.0200
.0174
.0151
.00407
.00353
.00306
.00265
.00230
.1541
.1535
.1531
.1527
.1523
245.712
283.569
327.104
377.170
434.745
6.491
6.514
6.534
6.551
6.566
5.961
6.032
6.096
6.154
6.207
38.692
39.289
39.828
40.315
40.753
26
27
28
29
30
31
32
33
34
35
76.144
87.565
100.700
115.805
133.176
.0131
.0114
.00993
.00864
.00751
.00200
.00173
.00150
.00131
.00113
.1520
.1517
.1515
.1513
.1511
500.957
577.100
664.666
765.365
881.170
6.579
6.591
6.600
6.609
6.617
6.254
6.297
6.336
6.371
6.402
41.147
41.501
41.818
42.103
42.359
31
32
33
34
35
40
45
50
55
60
267.864
538.769
1 083.7
2 179.6
4 384.0
.00373
.00186
.00092
.00046
.00023
.00056
.00028
.00014
.00007
.00003
.1506
.1503
.1501
.1501
.1500
1 779.1
3 585.1
7 217.7
14 524.1
29 220.0
6.642
6.654
6.661
6.664
6.665
6.517
6.583
6.620
6.641
6.653
43.283
43.805
44.096
44.256
44.343
40
45
50
55
60
.00011
.00006
.00003
.00001
.00001
.00002
.00001
.1500
.1500
.1500
.1500
.1500
58 778.6
118 231.5
237 812.5
478 332.6
962 104.4
6.666
6.666
6.666
6.667
6.667
6.659
6.663
6.665
6.666
6.666
44.390
44.416
44.429
44.436
44.440
65
70
75
80
85
65
70
75
80
85
8 817.8
17 735.7
35 672.9
71 750.9
144 316.7
Capital
Recovery
Factor
Find A
Given P
A/P
Compound
Amount
Factor
Find F
Given A
F/A
Arithmetic Gradient
Compound
Amount
Factor
Find F
Given P
F/P
n
Sinking
Fund
Factor
Find A
Given F
A/F
615
Present
Worth
Factor
Find P
Given A
P/A
Gradient
Uniform
Series
Find A
Given G
A/G
Gradient
Present
Worth
Find P
Given G
P/G
n