Exercise 14-7 (Algo) Net Present Value Analysis of Two Alternatives (LO14-2] Perit Industries has $135,000 to invest. The company is trying to decide between two alternative uses of the funds. The alternatives are: Project A Project B Cost of equipment required $ 135,000 $ 0 Working capital investment required $ 0 $ 135,000 Annual cash inflows $ 25,000 $ 63,000 Salvage value of equipment in six years $ 9,800 $ 0 Life of the project 6 years 6 years The working capital needed for project B will be released at the end of six years for investment elsewhere. Perit Industries' discount rate is 17%. Click here to view Exhibit 14B-1 and Exhibit 14B-2, to determine the appropriate discount factor(s) using tables. Required: 1. Compute the net present value of Project A. (Enter negative values with a minus sign. Round your final answer to the nearest whole dollar amount.) 2. Compute the net present value of Project B. (Enter negative values with a minus sign. Round your final answer to the nearest whole dollar amount.) 3. Which investment alternative (if either) would you recommend that the company accept? 1. Net present value project A 2. Net present value project B 3. Which investment alternative (if either) would you recommend that the company accept? EXHIBIT 14B-1 Present Value of $1; 1 (1+r) n Periods 1 2 3 4 4 5 6 6 7 8 9 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 40 4% 5% 6% 7% 8% 9% 10% 11% 12% 13% 14% 15% 16% 17% 18% 19% 20% 21% 22% 23% 24% 25% 0.962 0.952 0.943 0.935 0.926 0.917 0.909 0.901 0.893 0.885 0.877 0.870 0.862 0.855 0.847 0.840 0.833 0.826 0.820 0.813 0.806 0.800 0.925 0.907 0.890 0.873 0.857 0.8420.826 0.812 0.797 0.783 0.769 0.756 0.743 0.731 0.7180.706 | 0.694 0.683 0.672 0.661 0.650 0.640 0.889 0.864 0.840 0.816 0.794 | 0.772 0.751 0.731 0.712 0.693 0.731 0.712 0.693 0.675 0.658 0.641 0.624 0.609 0.593 0.579 0.564 0.551 0.593 0.579 0.564 0.551 0.537 0.524 0.512 0.855 0.823 0.792 0.763 0.735 0.708 0.683 0.659 0.636 0.613 0.592 0.572 0.5520.534 0.516 0.499 0.482 0.467 0.451 0.437 0.423 0.410 0.822 0.784 0.747 0.713 0.681 0.650 0.621 0.593 0.567 0.543 0.519 0.497 0.476 0.456 0.437 0.419 0.402 0.386 0.370 0.355 0.341 0.328 0.790 0.746 0.705 0.666 0.630 0.596 0.564 0.535 0.507 0.480 0.456 0.432 0.410 0.390 0.370 0.352 0.335 0.319 0.303 0.289 0.275 0.262 0.760 0.711 0.665 0.623 0.5830.547 0.513 0.482 0.452 0.425 0.400 0.376 0.354 0.333 0.314 0.296 0.279 0.263 0.263 0.249 0.235 0.222 0.210 0.731 0.677 0.627 0.5820.540 0.502 0.467 0.434 0.404 0.376 0.351 0.327 0.305 0.285 0.266 0.2490.233 0.218 0.204 0.204 0.191 0.179 0.168 0.703 0.6450.592 0.544 0.500 0.460 0.424 0.391 0.361 0.333 0.308 0.284 0.263 0.243 0.225 0.209 0.194 0.180 0.167 0.155 0.144 0.134 0.676 0.614 0.558 0.508 0.463 0.422 0.386 0.352 0.322 0.295 0.270 0.247 0.227 0.208 0.191 0.176 0.162 0.149 0.137 0.126 0.116 0.107 0.650 0.585 0.527 0.475 0.429 0.388 0.350 0.317 0.287 0.261 0.237 0.215 0.195 0.178 0.162 0.148 0.135 0.123 0.112 0.103 0.094 0.086 0.625 0.557 0.497 0.444 0.397 0.356 0.3190.286 0.257 0.231 0.208 0.187 0.168 0.152 0.137 0.124 0.112 0.1020.092 0.083 0.076 0.069 0.601 0.530 0.469 0.415 0.368 0.326 0.290 0.258 0.229 0.204 0.182 0.163 0.145 0.130 0.116 0.104 0.093 0.084 0.075 0.068 0.061 0.055 0.577 0.505 0.442 0.388 0.340 0.299 0.263 0.232 0.205 0.181 0.1600.141 0.125 0.111 0.099 0.088 0.078 0.069 0.062 0.055 0.049 0.044 0.555 0.481 0.417 0.362 0.315 0.275 0.239 0.209 0.183 0.1600.140 0.123 0.108 0.095 0.084 0.074 0.065 0.057 0.051 0.057 0.051 0.0450.040 0.045 0.040 0.035 0.534 0.458 0.394 0.339 0.292 0.252 0.218 0.188 0.163 0.141 0.123 0.107 0.093 0.081 0.071 0.062 0.054 0.047 0.042 0.036 0.032 0.028 0.513 0.436 0.371 0.317 0.270 0.231 0.1980.170 0.146 0.125 0.108 0.093 0.080 | 0.069 0.060 0.052 0.045 0.039 0.034 0.030 0.026 0.023 0.494 0.416 0.350 0.296 0.250 0.212 0.1800.153 0.130 0.111 0.095 0.081 0.069 0.059 0.051 0.044 0.038 0.032 0.028 0.024 0.021 0.018 0.475 0.396 0.331 0.277 0.232 0.194 0.164 0.138 0.116 0.098 0.083 0.070 0.060 0.051 0.043 0.037 0.031 0.027 0.023 0.020 0.017 | 0.014 0.456 0.377 0.312 0.258 0.215 0.215 0.178 0.149 0.124 0.104 0.087 0.073 0.061 0.051 0.043 0.037 0.031 0.026 0.022 0.019 0.016 0.014 0.012 0.439 0.359 0.294 0.2420.199 0.164 0.135 0.112 0.093 0.077 0.064 0.053 0.044 0.037 0.031 0.026 0.022 0.018 0.015 0.013 0.011 0.009 0.422 0.342 0.278 0.226 0.184 0.150 0.123 0.101 0.083 0.068 0.056 0.046 0.038 0.032 0.026 0.022 0.018 0.015 0.013 0.011 0.009 0.007 0.406 0.326 0.262 0.211 0.170 0.138 0.112 0.091 0.074 0.060 0.049 0.040 0.033 0.027 0.022 0.018 0.015 0.012 0.010 0.009 0.007 0.006 0.390 0.310 0.310 0.247 0.197 0.158 0.126 0.1020.082 0.066 0.053 0.043 0.035 0.028 0.023 0.019 0.015 0.013 0.010 0.008 0.007 0.006 0.005 0.375 0.295 0.233 0.184 0.146 0.116 0.092 0.074 0.059 0.047 0.038 0.030 0.024 0.020 0.0160.013 0.010 0.009 0.007 0.006 0.005 0.004 0.361 0.281 0.220 0.172 0.135 0.106 0.084 0.066 0.053 0.042 0.033 0.026 0.021 0.017 0.014 0.0110.009 0.007 0.006 0.005 0.004 0.003 0.347 0.268 0.207 0.161 0.125 0.098 0.076 0.060 0.098 0.076 0.060 0.047 0.037 0.029 0.023 0.018 0.014 0.011 0.009 0.007 0.006 0.005 0.004 0.003 0.002 0.333 0.255 0.1960.150 0.116 0.090 0.069 0.054 0.042 0.033 0.026 0.020 0.016 0.012 0.010 0.008 0.006 0.005 0.004 0.003 0.002 0.002 0.321 0.243 0.185 0.141 0.107 0.082 0.063 0.048 0.037 0.029 0.022 0.017 0.014 0.011 0.008 0.006 0.005 0.004 0.003 0.002 0.002 0.002 0.308 0.231 0.174 0.131 0.099 0.075 0.057 0.044 0.033 0.026 0.020 0.015 0.012 0.009 0.007 0.005 0.004 0.003 0.003 0.002 0.002 0.001 0.208 0.142 0.097 0.067 0.046 0.032 0.022 0.015 0.0110.008 0.005 0.004 0.003 0.002 0.001 0.001 0.001 0.000 0.000 0.000 0.000 0.000 EXHIBIT 14B-2 Present Value of an Annuity of $1 in Arrears; 10[1-1(1+r)n] Periods 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 40 4% 5% 6% 7% 8% 9% 10% 11% 12% 13% 14% 15% 16% 17% 18% 19% 20% 21% 22% 23% 24% 25% 0.962 0.952 0.943 0.935 0.926 0.917 0.909 0.901 0.893 0.885 0.877 0.870 0.862 0.855 0.847 0.840 0.833 0.826 0.820 0.813 0.806 0.800 1.886 1.859 1.833 1.808 1.783 1.759 1.736 1.713 1.713 | 1.690 1.668 | 1.647 | 1.626 1.605 1.585 | 1.566 1.547 1.528 | 1.509 1.492 1.474 1.457 1.440 2.775 2.723 2.673 2.624 2.577 2.531 2.487 2.444 | 2.402 2.361 | 2.322 2.283 2.246 2.210 2.174 2.140 2.106 2.074 | 2.0422.011 1.981 1.952 3.630 3.546 3.465 3.387 3.312 3.240 3.170 3.102 3.037 2.974 | 2.914 2.855 2.798 2.743 2.690 2.639 2.589 2.540 2.494 | 2.448 2.404 | 2.362 4.452 4.329 4.212 4.100 3.993 3.890 3.791 3.696 3.605 3.517 3.433 3.352 3.274 3.1993.127 3.058 | 2.991 2.926 | 2.864 2.803 2.745 2.689 5.2425.076 | 4.917 4.767 4.623 4.4864.355 4.231 4.111 3.9983.889 3.784 3.685 3.589 3.498 3.410 3.326 3.245 3.167 3.092 3.020 2.951 6.002 5.786 5.582 5.389 5.206 5.033 4.8684.712 4.564 4.423 4.288 4.160 4.039 3.922 3.812 3.706 3.605 3.508 3.416 3.327 3.242 3.161 6.733 6.463 6.210 5.971 5.747 5.535 5.335 5.146 | 4.968 4.799 4.6394.4874.344 | 4.207 4.078 3.954 3.837 | 3.726 3.619 | 3.518 3.421 3.329 7.435 7.108 6.802 6.515 6.247 5.995 5.759 5.537 5.328 5.1324.946 4.7724.607 4.451 4.303 4.163 4.031 3.905 3.786 3.673 3.566 3.463 8.111 7.722 7.360 7.024 | 6.710 6.418 6.145 5.889 5.6505.426 5.216 5.019 4.833 4.659 4.494 4.3394.1924.054 3.923 3.799 3.682 3.571 8.760 8.306 7.887 7.499 7.139 6.805 6.495 | 6.207 5.938 5.687 5.453 5.234 5.0294.8364.656 4.486 4.327 4.1774.035 3.902 3.776 3.656 9.385 8.863 8.384 7.943 7.5367.161 6.814 6.4926.1945.918 5.660 5.421 5.197 4.988 4.793 4.611 4.439 4.278 4.127 3.985 3.851 | 3.725 9.986 9.394 8.853 8.358 7.904 7.487 7.103 6.750 6.424 6.122 5.842 5.583 5.342 5.1184.9104.715 4.533 4.3624.203 4.053 3.912 3.780 10.563 | 9.899 9.295 8.745 8.244 7.786 7.367 7.3676.982 6.628 6.302 6.002 5.724 5.468 5.229 5.008 4.802 4.611 4.432 4.265 4.108 3.962 3.824 11.11810.380 9.712 9.108 8.559 8.061 | 7.606 7.606 | 7.1916.811 6.462 6.142 5.847 5.575 5.324 5.092 4.876 4.675 4.489 4.315 4.153 4.001 3.859 11.652 10.838 10.106 | 9.447 8.851 8.313 7.824 7.3796.9746.604 6.265 5.954 5.668 5.405 5.1624.9384.730 4.536 4.357 4.189 4.033 3.887 12.166 | 11.274 10.477 | 9.763 9.122 8.544 8.022 7.5497.1206.7296.373 6.047 5.749 5.475 5.222 4.990 4.775 4.576 4.391 4.219 4.059 3.910 12.659 11.690 10.828 10.059 9.3728.756 8.201 7.702 7.250 6.840 6.467 6.128 5.818 5.534 5.273 5.033 4.8124.608 4.419 4.243 4.080 3.928 13.134 12.085 | 11.158 10.336 9.604 8.950 8.365 7.8397.3666.938 6.550 6.198 5.877 5.584 5.316 5.070 4.843 4.635 4.4424.263 4.097 3.942 13.590 12.462 | 11.470 10.594 | 9.818 9.129 8.514 7.963 7.469 | 7.025 6.623 6.259 5.929 5.628 5.3535.101 4.870 4.657 4.460 4.2794.110 3.954 14.029 12.821 11.764 10.836 | 10.017 | 9.292 8.649 8.075 | 7.562 7.1026.687 6.3125.9735.665 5.384 5.127 4.891 4.6754.476 4.292 4.121 | 3.963 14.451 13.163 12.042 11.061 | 10.201 | 9.442 8.7728.176 | 7.645 7.170 6.743 6.3596.011 | 5.696 5.410 5.1494.909 4.6904.488 4.302 4.130 3.970 14.857 13.489 12.303 11.272 10.371 9.580 8.8838.266 7.718 7.230 6.792 6.399 6.044 5.723 5.432 5.167 4.925 4.703 4.499 4.311 4.137 | 3.976 15.247 13.799 12.550 11.469 | 10.529 9.707 8.9858.348 7.784 7.283 6.835 6.4346.073 5.746 5.451 5.182 4.937 4.713 4.507 4.318 4.143 3.981 15.622 14.094 12.783 11.654 10.675 | 9.8239.077 8.422 7.843 7.330 6.8736.464 6.097 5.766 5.467 5.1954.9484.721 4.514 4.323 4.147 3.985 15.983 14.375 13.003 11.826 10.810 9.929 9.161 8.488 7.896 7.372 6.906 6.491 6.118 5.783 5.480 5.2064.956 4.7284.520 4.328 4.151 | 3.988 16.330 14.643 13.211 | 11.987 10.935 10.027 9.237 8.548 7.943 7.409 6.935 6.514 6.136 5.798 5.492 5.215 4.964 4.734 4.524 4.332 4.154 3.990 16.663 14.898 13.406 12.137 11.051 | 10.116 | 9.307 | 8.602 7.984 7.441 6.961 6.534 6.152 5.810 5.502 5.223 4.970 4.739 4.5284.335 4.157 3.992 16.984 15.141 13.591 12.278 11.158 10.1989.370 8.650 8.0227.470 6.983 6.551 6.166 5.820 5.510 5.2294.975 4.7434.531 4.337 4.159 3.994 17.292 15.372 13.765 12.409 11.258 10.2749.427 8.694 8.0557.496 7.003 6.566 6.177 5.829 5.517 5.235 4.979 4.746 4.534 4.339 4.160 3.995 19.793 | 17.159 15.046 13.332 11.925 10.757 | 9.779 | 8.951 8.244 7.634 7.105 6.642 6.233 5.871 5.548 5.258 4.997 4.760 4.544 4.347 | 4.166 3.999