Brooks Clinic is considering investing in new heart-monitoring equipment. It has two options. Option A...
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Brooks Clinic is considering investing in new heart-monitoring equipment. It has two options. Option A would have an initial lower cost but would require a significant expenditure for rebuilding after 4 years. Option B would require no rebuilding expenditure, but its maintenance costs would be higher. Since the Option B machine is of initial higher quality, it is expected to have a salvage value at the end of its useful life. The following estimates were made of the cash flows. The companys cost of capital is 5%.
Option A
Option B
Initial cost
$183,000
$281,000
Annual cash inflows
$70,000
$80,000
Annual cash outflows
$28,000
$25,000
Cost to rebuild (end of year 4)
$48,000
$0
Salvage value
$0
$7,000
Estimated useful life
7 years
7 years
Compute the (1) net present value, (2) profitability index, and (3) internal rate of return for each option. (Hint: To solve for internal rate of return, experiment with alternative discount rates to arrive at a net present value of zero.) (If the net present value is negative, use either a negative sign preceding the number eg -45 or parentheses eg (45). Round answers for present value and IRR to 0 decimal places, e.g. 125 and round profitability index to 2 decimal places, e.g. 12.50. For calculation purposes, use 5 decimal places as displayed in the factor table provided.)
Future Value of 1 Table (FV of 1 Table) FV Factors for a Single Amount of 1.000 (rounded to three decimal places). Note: This table begins with the row n = 0, which is different from most future value of 1 tables.
i=1%
i=2%
i=3%
i=4%
i=5%
i=6%
i=8%
i=10%
i=12%
n = 0
1.000
1.000
1.000
1.000
1.000
1.000
1.000
1.000
1.000
n = 1
1.010
1.020
1.030
1.040
1.050
1.060
1.080
1.100
1.120
n = 2
1.020
1.040
1.061
1.082
1.103
1.124
1.166
1.210
1.254
n = 3
1.030
1.061
1.093
1.125
1.158
1.191
1.260
1.331
1.405
n = 4
1.041
1.082
1.126
1.170
1.216
1.262
1.360
1.464
1.574
n = 5
1.051
1.104
1.159
1.217
1.276
1.338
1.469
1.611
1.762
n = 6
1.062
1.126
1.194
1.265
1.340
1.419
1.587
1.772
1.974
n = 7
1.072
1.149
1.230
1.316
1.407
1.504
1.714
1.949
2.211
n = 8
1.083
1.172
1.267
1.369
1.477
1.594
1.851
2.144
2.476
n = 9
1.094
1.195
1.305
1.423
1.551
1.689
1.999
2.358
2.773
n = 10
1.105
1.219
1.344
1.480
1.629
1.791
2.159
2.594
3.106
n = 11
1.116
1.243
1.384
1.539
1.710
1.898
2.332
2.853
3.479
n = 12
1.127
1.268
1.426
1.601
1.796
2.012
2.518
3.138
3.896
n = 13
1.138
1.294
1.469
1.665
1.886
2.133
2.720
3.452
4.363
n = 14
1.149
1.319
1.513
1.732
1.980
2.261
2.937
3.797
4.887
n = 15
1.161
1.346
1.558
1.801
2.079
2.397
3.172
4.177
5.474
n = 16
1.173
1.373
1.605
1.873
2.183
2.540
3.426
4.595
6.130
n = 17
1.184
1.400
1.653
1.948
2.292
2.693
3.700
5.054
6.866
n = 18
1.196
1.428
1.702
2.026
2.407
2.854
3.996
5.560
7.690
n = 19
1.208
1.457
1.754
2.107
2.527
3.026
4.316
6.116
8.613
n = 20
1.220
1.486
1.806
2.191
2.653
3.207
4.661
6.727
9.646
n = 21
1.232
1.516
1.860
2.279
2.786
3.400
5.034
7.400
10.804
n = 22
1.245
1.546
1.916
2.370
2.925
3.604
5.437
8.140
12.100
n = 23
1.257
1.577
1.974
2.465
3.072
3.820
5.871
8.954
13.552
n = 24
1.270
1.608
2.033
2.563
3.225
4.049
6.341
9.850
15.179
n = 25
1.282
1.641
2.094
2.666
3.386
4.292
6.848
10.835
17.000
n = 26
1.295
1.673
2.157
2.772
3.556
4.549
7.396
11.918
19.040
n = 27
1.308
1.707
2.221
2.883
3.733
4.822
7.988
13.110
21.325
n = 28
1.321
1.741
2.288
2.999
3.920
5.112
8.627
14.421
23.884
n = 29
1.335
1.776
2.357
3.119
4.116
5.418
9.317
15.863
26.750
n = 30
1.348
1.811
2.427
3.243
4.322
5.743
10.063
17.449
29.960
n= the number of time periods in which the interest is compounded i= the interest rate per period with the interest added and compounded at the end of each period
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