Question
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
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.)
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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