Problem 12-23 Comprehensive Problem (LO12-1, LO12-2, LO12-3, LO12-5, LO12-6] 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 division's return on investment (ROI), which has exceeded 22% each of the last three years. He has computed the cost and revenue estimates for each product as follows: Product A Product B $ 350,000 $ 550,000 Initial investment: Cost of equipment (zero salvage value) Annual revenues and costs: Sales revenues Variable expenses Depreciation expense Fixed out-of-pocket operating costs $ 390,000 $ 178,000 $ 70,000 $ 87,000 $ 470,000 $ 210,000 $ 110,000 $ 67,000 The company's discount rate is 20%. Click here to view Exhibit 12B-1 and Exhibit 12B-2, to determine the appropriate discount factor using tables. EXHIBIT 12B-1 Present Value of $1; 11 Periods 4% 5% 6% 7% 8% 9% 10% 11% 12% 13% 14% 15% 16% 17% 18% 19% 20% 21% 22% 23% 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 2 0.925 0.907 0.890 0.873 0.857 0.842 0.826 0.812 0797 0.783 0.769 0.756 0.743 0.731 0.718 0.706 0.694 0683 0672 0.661 0.650 0.640 3 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 0855 0823 0.792 0.763 0735 0708 0683 0659 0636 0613 0.592 0.572 0.552 0.534 0.516 0.499 0.482 0.467 0.451 0.437 0.423 0.410 5 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 7 0760 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 0279 0263 0249 0235 0222 0.210 8 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 9 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 10 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 0.1910.176 0.162 0.149 0.137 0.126 0.116 0.107 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 0.148 0.135 0.123 0.112 0.103 0.094 0.086 120625 0.557 0.497 0.444 0.397 0.356 0.319 0286 0257 0231 0208 0187 0168 0152 01370124 0112 0102 0092 0.083 0.076 0.069 13 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 14 0.577 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 15 0.555 0.481 0.417 0.362 0.315 0.275 0.239 0.209 0.183 0160 0140 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 0.513 0.436 0.371 0.317 0.270 0.231 0.198 01700146 0.125 0.108 0.093 0.080 0.069 0.060 0,052 0045 0.039 18 0.494 0.416 0.350 0.296 0.250 0.212 0.180 0.153 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 0.018 190.475 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 0258 0.215 0.178 0.149 0124 0104 0.087 0.073 0.061 0.051 0.043 0.037 0.031 0.026 0022 0019 0.016 0.014 0.012 21 0.439 0.359 0.294 0.242 0.1990.164 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 0.0110.009 0.007 23 0.406 0326 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 0375 0295 02330184 0.146 0116 0092 0074 0059 0047 0.038 0.030 0.024 0.020 0.016 0.013 0010 0009 0007 0006 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 0.0110.009 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 0.0110.009 0.007 0.006 0.005 0.004 0.003 0.002 28 0333 0255 0196 0150 0.116 0.090 0.069 0.054 0.042 0033 0.026 0.020 0,016 0012 0.010 0.008 0.006 0.005 0004 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 0231 0.174 0.131 0.099 0.075 0.057 0044 0.033 0026 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 0208 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 128-2 Present Value of an Annuity of $1 in Arrears: 1 - a l 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 0862 0.855 0.847 0.840 0833 0826 0.820 0.813 0.806 0800 2 1.886 1859 1833 1.808 1.783 1759 1736 1713 1.690 1.668 1647 1.626 1.605 1.585 1.566 1547 1528 1.509 1.492 1.474 1.457 1440 3 2.775 2.723 2673 2.624 2.577 2.531 2487 2444 2.402 2.361 2322 2283 2246 2.210 2.174 2140 2106 2.074 2.042 2.011 1981 1952 4 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 5 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 6 5.242 5.076 4.917 4.767 4.623 4.486 4355 4.231 4.111 3.998 3.889 3.784 3.685 3.589 3.498 3.410 3326 3245 3.167 3.092 3.020 2.951 7 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 8 6733 6.463 6210 5971 57475.535 5335 5146 4.968 4799 4639 4.487 4344 4207 4078 3.954 3837 3726 3.619 3.518 3.421 3329 9 7 435 7.10 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 7360 7024 6710 6.418 6145 5889 5650 5.426 5216 5019 4833 4.659 4494 43394192 4054 3.923 3.799 3682 3571 11 8.760 8.306 7.887 7.499 71396.805 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 12 9.385 8.863 8.384 7.943 7536 71616.814 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 13 9.986 9.394 8.853 8.358 7904 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 14 10.563 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 15 11.118 10380 9.712 9.108 8559 8.061 7606 7191 6.811 6.462 6.142 5.847 5575 5324 5.092 4.876 4.675 4.489 4.315 4.153 4001 3.859 16 11.652 10.838 10.106 9.447 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 17 1274 10.477 9763 9122 8544 8022 7549 7120 6729 6.373 6047 5749 5.475 5.222 4990 4775 4576 4391 4 18 12.659 11.690 10.828 10.059 9.372 8.756 8.2017.702 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 19 13 134 12 085 11.158 10.336 9604 8.950 8.365 7839 7366 6.938 6.550 6.198 5877 5.584 5.316 5.070 4.843 4635 4.442 4263 4.097 3942 20 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 5.353 5.101 4.870 4.657 4.460 4.279 4.110 3.954 21 14.029 12.821 11764 10.836 10.017 9.292 8.649 8.075 7562 7102 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 7645 7170 6.743 6.359 6 011 5.696 5.410 5.149 4.909 4.690 4.488 4302 4.130 3.970 23 14.857 13.489 12.303 11.272 10.371 9.580 8.883 8.266 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 24 15 247 13799 12.550 11.469 10.529 9707 8.985 8348 7784 7283 6.835 6.434 6073 5.746 5.451 5182 4.937 4.713 4.507 4318 4.143 3.981 25 15.622 14.094 12.783 11.654 10.675 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 7896 7372 6.906 6.491 6.118 5.783 5.480 5.206 4.956 4.728 4.520 4.328 4151 3.988 27 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 28 16.663 14.898 13.406 12.137 11.051 10.116 9.307 8602 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 9779 8.951 8244 7634 7105 6.642 6233 5.871 5548 5258 4.99747604544 4347 4.166 3.999 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: Req 1 Req 2 Req3 Rega Rea 5 Req 5 Req 6A Req 6A Req 6B Calculate the payback period for each product. (Round your answers to 2 decimal places.) Product A years Product B years Payback period Req 1 Req 2 > Req 1 Reg 2 Req3 Req 4 Reg 5 Req 6A Req 6B Calculate the net present value for each product. (Round your final answers to the nearest whole dollar amount.) Product A Product B Net present value Req 1 Req 2 Reg 3 Reg 4 Req 5 Req 6A Req 6B Calculate the internal rate of return for each product. (Round your answer to 1 decimal place i.e. 0.123 should be considere as 12.3%.) Product A Product B Internal rate of return % Reg 1 Reg 2 Reg 3 Req 4 Req 5 Req 6A Req 6B Calculate the project profitability index for each product. (Round your answers to 2 decimal places.) Product A Product B Project profitability index Req3 Req 5 > Req 1 Reg 2 Req3 Req 4 Reg 5 Req 6A Req 6B Calculate the simple rate of return for each product. (Round your answer to 1 decimal place i.e. 0.123 should be considered as 12.3%.) Product A Product B Simple rate of return Req 1 Reg 2 Req3 Req 4 Reg 5 Req 6A Req 6B For each measure, identify whether Product A or Product B is preferred. Net Present Value Profitability Index Payback Period Internal Rate Simple Rate of of Return Return Req 1 Reg 2 Req3 Req 4 Req 5 Req 6A Req 6B Based on the simple rate of return, Lou Barlow would likely: Accept Product A Accept Product B Reject both products Req6A Req 6B