Cervantes Company is considering an investment in a new machine. Managers at the company are uncertain about the economic life of the machine, because of the speed of innovation in the technology. The machine requires an investment of $3 million. After-tax cash flows are estimated to be $900,090 each year the machine is operating (and not obsolete). The company uses a 10 percent discount rate in evaluating capital investments.

What is the minimum economic life of the machine (in whole years) that would be required for it to have a positive net present value?

Minimum economic life = ______ years?

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 0.69 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 0.746 0.705 0.630 0.564 0.507 0.456 0.432 0.410 0.370 0.335 6 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 0.645 0.592 0.500 0.424 0.361 0.308 0.284 0.263 0.225 0.194 9 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 225 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 0.610 0.630 0.610 0.592 0.574 0.557 0.519 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 S 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