Question
Square Manufacturing is considering investing in a robotics manufacturing line. Installation of the line will cost an estimated $9 million. This amount must be paid
Square Manufacturing is considering investing in a robotics manufacturing line. Installation of the line will cost an estimated $9 million. This amount must be paid immediately even though construction will take three years to complete (years 0, 1, and 2). Year 3 will be spent testing the production line and, hence, it will not yield any positive cash flows. If the operation is very successful, the company can expect after-tax cash savings of $6 million per year in each of years 4 through 7. After reviewing the use of these systems with the management of other companies, Squares controller has concluded that the operation will most probably result in annual savings of $4.2 million per year for each of years 4 through 7. However, it is entirely possible that the savings could be as low as $1.8 million per year for each of years 4 through 7. The company uses a 14 percent discount rate. Use Exhibit A.8.
Required:
Compute the NPV under the three scenarios. (Round PV factor to 3 decimal places. Enter your answers in thousands of dollars. Negative amounts should be indicated by a minus sign.)
Best Case Expected Worst Case
Net Present Value =
Exhibit A.8 Present Value of $1 Year 5% 6% 8% 10% 12% 14% 15% 16% 18% 20% 1 0.952 0.943 0.926 0.909 0.893 0.877 0.870 0.862 0.847 0.833 2. 0.907 0.890 0.857 0.826 0.797 0.769 0.756 0.743 0.718 0.694 3 0.864 0.840 0.794 0.751 0.712 0.675 0.658 0.641 0.609 0.579 4 0.823 0.792 0.735 0.683 0.636 0.592 0.572 0.552 0.516 0.482 5 0.784 0.747 0.681 0.621 0.567 0.519 0.497 0.476 0.437 0.402 6 0.746 0.705 0.630 0.564 0.507 0.456 0.432 0.410 0.370 0.335 7 0.711 0.665 0.583 0.513 0.452 0.400 0.376 0.354 0.314 0.279 8 0.677 0.627 0.540 0.467 0.404 0.351 0.327 0.305 0.266 0.233 9 0.645 0.592 0.500 0.424 0.361 0.308 0.284 0.263 0.225 0.194 10 0.614 0.558 0.463 0.386 0.322 0.270 0.247 0.227 0.191 0.162 11 0.585 0.527 0.429 0.350 0.287 0.237 0.215 0.195 0.162 0.135 12 0.557 0.497 0.397 0.319 0.257 0.208 0.187 0.168 0.137 0.112 13 0.530 0.469 0.368 0.290 0.229 0.182 0.163 0.145 0.116 0.093 14 0.505 0.442 0.340 0.263 0.205 0.160 0.141 0.125 0.099 0.078 15 0.481 0.417 0.315 0.239 0.183 0.140 0.123 0.108 0.084 0.065 Year 22% 24% 25% 26% 28% 30% 32% 34% 35% 40% 1 0.820 0.806 0.800 0.794 0.781 0.769 0.758 0.746 0.741 0.714 2 0.672 0.650 0.640 0.630 0.610 0.592 0.574 0.557 0.549 0.510 3 0.551 0.524 0.512 0.500 0.477 0.455 0.435 0.416 0.406 0.364 4 0.451 0.423 0.410 0.397 0.373 0.350 0.329 0.310 0.301 0.260 5 0.370 0.341 0.328 0.315 0.291 0.269 0.250 0.231 0.223 0.186 6 0.303 0.275 0.262 0.250 0.227 0.207 0.189 0.173 0.165 0.133 7 0.249 0.222 0.210 0.198 0.178 0.159 0.143 0.129 0.122 0.095 8 0.204 0.179 0.168 0.157 0.139 0.123 0.108 0.096 0.091 0.068 9 0.167 0.144 0.134 0.125 0.108 0.094 0.082 0.072 0.067 0.048 10 0.137 0.116 0.107 0.099 0.085 0.073 0.062 0.054 0.050 0.035 11 0.112 0.094 0.086 0.079 0.066 0.056 0.047 0.040 0.037 0.025 12 0.092 0.076 0.069 0.062 0.052 0.043 0.036 0.030 0.027 0.018 13 0.075 0.061 0.055 0.050 0.040 0.033 0.027 0.022 0.020 0.013 14 0.062 0.049 0.044 0.039 0.032 0.025 0.021 0.017 0.015 0.009 15 0.051 0.040 0.035 0.031 0.025 0.020 0.016 0.012 0.011 0.006
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