1 Required information 12 points The Chapter 14 Form worksheet is to be used to create your own worksheet version of Example E and Exhibit 14-8 in the text. eBook 2. The company is considering a project involving the purchase of new equipment. Change the data area of your worksheet to match the following: Use Exhibit 14B-1 and Exhibit 14B-2. (Use appropriate factor(s) from the tables provided.) Print A 1 Chapter 14: Applying Excel 2 3 Data 4 Example E B 5 Cost of equipment needed $ 130,000 6 Working capital needed $ 40,000 7 Overhaul of equipment in four years $ 15,000 8 Salvage value of the equipment in five years $ 35,000 9 Annual revenues and costs: 10 Sales revenues $ 375,000 11 Cost of goods sold $ 280,000 12 Out-of-pocket operating costs $ 55,000 13 Discount rate 17 % a. What is the net present value of the project? (Negative amount should be indicated by a minus sign. Round your present value factor to 3 decimals and round all other intermediate calculations to nearest whole dollar.) Net present value c. The internal rate of return is between what two whole discount rates (e.g., between 10% and 11%, between 11% and 12%, between 12% and 13%, between 13% and 14%, etc.)? c. The internal rate of return is between what two whole discount rates (e.g., between 10% and 11%, between 11% and 12%, between 12% and 13%, between 13% and 14%, etc.)? The internal rate of return is between % and % d. Reset the discount rate to 17%. Suppose the salvage value is uncertain. How large would the salvage value have to be to result in a positive net present value? Minimum salvage value required to generate a positive present value EXHIBIT 14-8 The Net Present Value Method-An Extended Example A 1 2 3 Purchase of equipment 4 Investment in working capital 5 Sales 6 Cost of goods sold 7 Out-of-pocket costs for salaries, advertising, etc. 8 Overhaul of equipment 9 Salvage value of the equipment 10 Working capital released 11 Total cash flows (a) 12 Discount factor (14%) (b) B C D E F G Year Now 1 2 3 4 5 $ (60,000) $ (100,000) $200,000 $200,000 $200,000 $200,000 $ 200,000 $ (125,000) $ (125,000) $ (125,000) $ (125,000) $ (125,000) $ (35,000) $ (35,000) $ (35,000) $ (35,000) $ (35,000) 0.877 $ (5,000) $ 10,000 $ 100,000 $ (160,000) $ 40,000 $40,000 $40,000 $ 35,000 $150,000 1.000 0.769 0.675 0.592 $ 0.519 (160,000) $ 35,080 $ 30,760 $ 27,000 $ 20,720 $ 77,850 31,410 13 Present value of cash flows (a) x (b) $ $ 14 Net present value (SUM B13:G13) 15 16 Note: The discount factors come from Exhibit 14B-1 in Appendix 14B. 17 Exhibit 14-8 Exhibit 14-9 Exhibit 14-10 Exhibit 14-11 Exhibit Source: Microsoft Excel EXHIBIT 14B-1 Present Value of $1; (1+r)" Periods 4% 10% 1 2 3 4 0.855 0.823 0.792 0.763 5 6 7 8 9 10 11 12 13 14 0.577 15 16 0.534 0.458 0.394 0.339 0.292 0.252 0.218 17 0.513 0.436 0.371 0.317 0.270 0.231 0.198 0.170 18 0.494 0.416 0.350 0.296 0.250 0.212 0.180 0.153 19 0.475 0.396 0.331 0.277 0.232 0.194 0.164 20 0.456 0.377 0.312 0.258 0.215 0.178 0.149 0.138 0.124 0.116 5% 6% 7% 8% 9% 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 0.842 0.826 0.812 0.797 0.783 0.769 0.756 0.743 0.731 0.718 0.706 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 0.675 0.658 0.641 0.624 0.609 0.593 0.579 0.564 0.551 0.537 0.524 0.512 0.735 0.708 0.683 0.659 0.636 0.613 0.592 0.572 0.552 0.534 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 0.583 0.547 0.513 0.482 0.452 0.425 0.400 0.376 0.354 0.333 0.314 0.296 0.279 0.263 0.249 0.235 0.222 0.210 0.731 0.677 0.627 0.582 0.540 0.502 0.467 0.434 0.404 0.376 0.351 0.327 0.305 0.285 0.266 0.249 0.233 0.218 0.204 0.191 0.179 0.168 0.703 0.645 0.592 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 0.319 0.286 0.257 0.231 0.208 0.187 0.168 0.152 0.124 0.112 0.102 0.092 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 0.116 0.104 0.093 0.084 0.075 0.068 0.061 0.055 0.505 0.442 0.388 0.340 0.299 0.263 0.232 0.205 0.181 0.160 0.141 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 0.160 0.140 0.123 0.108 0.095 0.084 0.074 0.065 0.057 0.051 0.045 0.040 0.035 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 0.146 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 0.130 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 0.098 0.083 0.070 0.060 0.051 0.043 0.037 0.031 0.027 0.023 0.020 0.017 0.014 0.104 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 0.137 0.130 21 0.439 0.359 0.294 0.242 0.199 0.164 0.112 22 23 0.135 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 24 0.390 0.310 0.247 0.197 0.158 0.126 0.102 0.082 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 25 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 0.016 0.013 0.010 0.009 0.007 0.006 0.005 0.004 26 0.361 0.281 0.220 0.172 0.106 0.084 0.066 0.053 0.042 0.033 0.026 0.021 0.017 0.014 0.011 0.009 0.007 0.006 0.005 0.004 0.003 27 0.347 0.268 0.207 0.161 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 28 0.333 0.255 0.196 0.150 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 0.082 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 0.135 0.125 0.116 0.107 29 30 40 0.208 0.142 0.097 0.067 0.046 0.032 0.022 0.015 0.011 0.008 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 Annulty of $1 In Arrears; (1+r)" Periods 4% 1 5% 0.962 0.952 0.943 6% 2 1.886 1.859 1.833 3 2.775 2.723 2.673 4 3.630 3.546 3.465 5 4.452 4.329 4.212 6 5.242 5.076 4.917 7 6.002 8 6.733 6.463 9 7.435 10 8.111 11 8.760 12 13 9.986 9.394 8.853 14 10.563 9.899 9.295 15 16 17 18 19 11.118 10.380 9.712 11.652 10.838 10.106 12.166 11.274 10.477 12.659 11.690 10.828 13.134 12.085 11.158 20 13.590 12.462 11.470 21 14.029 12.821 11.764 22 23 24 14.451 13.163 12.042 11.061 14.857 13.489 12.303 11.272 15.247 13.799 12.550 11.469 25 15.622 14.094 12.783 11.654 8% 9% 0.926 0.917 1.783 1.759 2.577 2.531 3.240 3.890 4.767 4.623 4.486 5.786 5.582 5.389 5.206 5.033 6.210 5.971 5.747 5.535 7.108 6.802 6.515 6.247 5.995 7.722 7.360 7.024 6.710 6.418 8.306 7.887 7.499 7.139 6.805 9.385 8.863 8.384 7.943 7.536 7.161 8.358 7.904 7.487 7.786 9.108 8.559 8.061 9.447 8.851 8.313 9.763 9.122 8.544 10.059 9.372 8.756 10.336 9.604 8.950 10.594 9.818 9.129 10.836 10.017 9.292 10.201 9.442 10.371 9.580 10.529 9.707 10.675 9.823 7% 0.935 1.808 2.624 3.387 3.312 4.100 3.993 10% 11% 12% 13% 14% 15% 16% 17% 18% 19% 20% 21% 22% 23% 24% 25% 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 1.736 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 2.487 2.444 2.402 2.361 2.322 2.283 2.246 2.210 2.174 2.140 2.106 2.074 2.042 2.011 1.981 1.952 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 3.791 3.696 3.605 3.517 3.433 3.352 3.274 3.199 3.127 3.058 2.991 2.926 2.864 2.803 2.745 2.689 8.745 8.244 4.355 4.231 4.111 3.998 3.889 3.784 3.685 3.589 3.498 3.410 3.326 3.245 3.167 3.092 3.020 2.951 4.868 4.712 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 5.335 5.146 4.968 4.799 4.639 4.487 4.344 4.207 4.078 3.954 3.837 3.726 3.619 3.518 3.421 3.329 5.759 5.537 5.328 5.132 4.946 4.772 4.607 4.451 4.303 4.163 4.031 3.905 3.786 3.673 3.566 3.463 6.145 5.889 5.650 5.426 5.216 5.019 4.833 4.659 4.494 4.339 4.192 4.054 3.923 3.799 3.682 3.571 6.495 6.207 5.938 5.687 5.453 5.234 5.029 4.836 4.656 4.486 4.327 4.177 4.035 3.902 3.776 3.656 6.814 6.492 6.194 5.918 5.660 5.421 5.197 4.988 4.793 4.611 4.439 4.278 4.127 3.985 3.851 3.725 7.103 6.750 6.424 6.122 5.842 5.583 5.342 5.118 4.910 4.715 4.533 4.362 4.203 4.053 3.912 3.780 7.367 6.982 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 7.606 7.191 6.811 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 7.824 7.379 6.974 6.604 6.265 5.954 5.668 5.405 5.162 4.938 4.730 4.536 4.357 4.189 4.033 3.887 8.022 7.549 7.120 6.729 6.373 6.047 5.749 5.475 5.222 4.990 4.775 4.576 4.391 4.219 4.059 3.910 8.201 7.702 7.250 6.840 6.467 6.128 5.818 5.534 5.273 5.033 4.812 4.608 4.419 4.243 4.080 3.928 8.365 7.839 7.366 6.938 6.550 6.198 5.877 5.584 5.316 5.070 4.843 4.635 4.442 4.263 4.097 3.942 8.514 7.963 7.469 7.025 6.623 6.259 5.929 5.628 5.353 5.101 4.870 4.657 4.460 4.279 4.110 3.954 8.649 8.075 7.562 3.963 8.772 8.176 7.645 8.883 8.266 7.718 8.985 8.348 7.784 9.077 8.422 7.843 26 27 28 29 30 15.983 14.375 13.003 11.826 10.810 9.929 16.330 14.643 13.211 11.987 10.935 10.027 16.663 14.898 13.406 12.137 11.051 10.116 16.984 15.141 13.591 12.278 11.158 10.198 17.292 15.372 13.765 12.409 11.258 10.274 9.370 8.650 8.022 7.470 9.427 8.694 8.055 7.496 40 19.793 17.159 15.046 13.332 11.925 10.757 9.779 8.951 8.244 7.634 7.102 6.687 6.312 5.973 5.665 5.384 5.127 4.891 4.675 4.476 4.292 4.121 7.170 6.743 6.359 6.011 5.696 5.410 5.149 4.909 4.690 4.488 4.302 4.130 3.970 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 7.283 6.835 6.434 6.073 5.746 5.451 5.182 4.937 4.713 4.507 4.318 4.143 3.981 7.330 6.873 6.464 6.097 5.766 5.467 5.195 4.948 4.721 4.514 4.323 4.147 3.985 9.161 8.488 7.896 7.372 6.906 6.491 6.118 5.783 5.480 5.206 4.956 4.728 4.520 4.328 4.151 3.988 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 9.307 8.602 7.984 7.441 6.961 6.534 6.152 5.810 5.502 5.223 4.970 4.739 4.528 4.335 4.157 3.992 6.983 6.551 6.166 7.003 6.566 6.177 5.829 5.517 5.235 4.979 4.746 7.105 6.642 6.233 5.871 5.548 5.258 4.997 4.760 5.820 5.510 5.229 4.975 4.743 4.531 4.337 4.159 3.994 4.534 4.339 4.160 3.995 4.544 4.347 4.166 3.999