Lou Barlow, a divisional manager for Sage Company, has an opportunity to manufacture and sell one of two new products for a five-year period. His annual pay raises are determined by his divisions return on investment (ROI), which has exceeded 25% each of the last three years. He has computed the cost and revenue estimates for each product as follows:

The companys discount rate is 18%.

Click here to view Exhibit 12B-1 and Exhibit 12B-2, to determine the appropriate discount factor using tables.

Required:

1. Calculate the payback period for each product.

2. Calculate the net present value for each product.

3. Calculate the internal rate of return for each product.

4. Calculate the project profitability index for each product.

5. Calculate the simple rate of return for each product.

6a. For each measure, identify whether Product A or Product B is preferred.

6b. Based on the simple rate of return, Lou Barlow would likely:

NEED REQ. 4 ONLY!

Product A Product B Initial investment: $ 340,000 $ 540,000 Cost of equipment (zero salvage value) Annual revenues and costs: $ 390,000 $ 176,000 $ 490,000 $ 226,000 $ 108,000 $ 64,000 Sales revenues Variable expenses Depreciation expense Fixed out-of-pocket operating costs 2$ 68,000 $ 84,000 EXHIBIT 12B-1 Present Value of $1; (1+ r)" Periods 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 0.842 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 4 0.855 0.823 0.792 0.763 0.735 0.708 0.683 0.659 0.636 0.613 0.592 0.572 0.552 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 0179 0.168 0,703 0,645 0,592 0,544 0.500 0.460 0424 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 0144 0.134 0.107 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 10 0.176 0.162 0.149 0.137 0.126 0.116 0.148 0.135 0.123 0.112 11 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 0.103 0.094 0.086 0.152 0.137 0.124 0.112 12 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 0.102 0.092 0.083 0.076 0.069 0.163 0145 13 0.601 0.530 0.469 0.415 0.368 0.326 0.290 0.258 0.229 0.204 0.182 0.130 0.116 0.104 0.093 0.084 0.075 0.068 0.061 0.055 14 0.577 0.505 0.442 0.388 0.340 0.299 0.263 0.232 0.205 0.181 0.099 0.088 0.078 0.069 0.062 0.055 0.049 0.044 0.160 0.141 0.125 0.111 15 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 16 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 17 0.513 0,436 0.371 0.317 0.270 0.231 0.198 0.170 0.146 0125 0.108 0.093 0.080 0.069 0.060 0.052 0.045 0.039 0.034 0.030 0.026 0.023 0.095 0.081 0.494 0.416 0.350 0.296 0.250 0.212 0.180 0.153 0.130 0.111 0.069 0.059 0.051 0.044 0.038 0.032 0.028 0.024 0.021 0.018 18 19 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 20 0.456 0.377 0.312 0.258 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 21 0.439 0.359 0.294 0.242 0.199 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 22 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 23 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 0.135 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 0.125 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 0.116 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 29 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 30 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 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 12B-2 Present Value of an Annuity of $1 in Arrears; ! Periods 4% 22% 23% 5% 6% 7% 8% 9% 10% 11% 12% 13% 14% 15% 16% 17% 18% 19% 20% 21% 24% 25% 1 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 1.690 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 3 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 2.042 2.011 1.981 1.952 3.465 3.240 3.170 4 3.630 3.546 3.387 3.312 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 3.199 3.127 3.058 2.991 2.926 2.864 2.803 2.745 2.689 4. 486 4.355 4231 5.242 5.076 4.917 4.767 4.623 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 6.002 5.786 5.582 5.389 5.206 5.033 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 5.971 3.421 3.329 6.733 6.463 6.210 5.747 5.535 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 9. 7.435 7.108 6.802 6.515 6.247 5.995 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 10 8.111 7722 7.360 7.024 6.710 6.418 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 11 8.760 8.306 7.887 7.499 7.139 6.805 6.495 6.207 5.938 5.687 5.453 5.234 5.029 4.836 4.656 4.486 4.327 4.177 4.035 3.902 3.776 3.656 4.988 4.793 4.611 12 9.385 8.863 8.384 7.943 7.536 7.161 6.814 6.492 6.194 5.918 5.660 5.421 5.197 4.439 4.278 4.127 3.985 3.851 3.725 13 9.986 9.394 8.853 8.358 7.904 7.487 7103 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 10.563 14 9.899 9.295 8.745 8.244 7.786 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 4.001 3.859 15 11.118 10.380 9.712 9.108 8.559 8.061 7.606 7191 6.811 6.462 6.142 5.847 5.575 5.324 5.092 4.876 4.675 4.489 4.315 4.153 11.652 10.838 10.106 9.447 16 8.851 8.313 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 12.166 11.274 10.477 17 9.763 9.122 8.544 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 18 12.659 11.690 10.828 10.059 9.372 8.756 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 12.085 11.158 19 9.604 8.950 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 13.134 10.336 10.594 20 13.590 12.462 11.470 9.818 9.129 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 10.836 10.017 21 14.029 12.821 11.764 9.292 8.649 8.075 7562 7.102 6.687 6.312 5.973 5.665 5.384 5.127 4.891 4.675 4.476 4.292 4.121 3.963 22 14.451 13.163 12.042 11.061 10.201 9.442 8.772 8.176 7.645 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 10.371 9.580 8.883 8.266 7.718 23 14.857 13.489 12.303 11.272 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 8.985 8.348 7.784 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 24 10.675 25 15.622 14.094 12.783 11.654 9.823 9.077 8.422 7.843 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 26 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 5.206 4.956 4.728 4.520 4.328 4.151 3.988 11.987 10.935 10.027 8.548 7,943 6.935 6.514 27 16.330 14.643 13.211 9.237 7.409 6.136 5.798 5.492 5.215 4.964 4.734 4.524 4.332 4.154 3.990 28 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 4.528 4.335 4.157 3.992 29 16.984 15.141 13.591 12.278 11.158 10.198 9.370 8.650 8.022 7.470 6.983 6.551 6.166 5.820 5.510 5.229 4.975 4.743 4.531 4.337 4.159 3.994 30 17.292 15.372 13.765 12.409 11.258 10.274 9.427 8.694 8.055 7.496 7.003 6.566 6.177 5.829 5.517 5.235 4.979 4.746 4.534 4.339 4.160 3.995 40 19.793 17159 15.046 13.332 11.925 10.757 9.779 8.951 8.244 7.634 7105 6.642 6.233 5.871 5.548 5.258 4.997 4.760 4.544 4.347 4.166 3.999