Anthony Walker is evaluating two new business opportunities. Each of the opportunities shown below has a 15-year life. Anthony uses a 12% discount rate. Option 1 Option 2 Equipment purchase and installation $70,300 $82,160 Annual cash flow $28,400 $30,400 Equipment overhaul in year 6 $4,920 Equipment overhaul in year 8 $6,340 Click here to view the factor table. (a) Calculate the net present value of the two opportunities. (Round present value factor calculations to 4 decimal places, e.g. 1.2514 and the final answers to O decimal places, e.g. 59,991.) Option 1 Option 2 Net present value $ $ e Textbook and Media Save for Later Attempts: 0 of 3 used Submit Answer (b) Calculate the profitability index of the two opportunities. (Round answers to 2 decimal places, e.g. 15.25.) Option 1 Option 2 Profitability Index eTextbook and Media Save for Later Attempts: 0 of 3 used Submit Answer 4% 5% 6% 7% 8% 9% 10% 11% 12% 13% 14% 16% 18% 20% Periods 1 1 2 3 4 5 0.9615 0.9246 0.8890 0.8548 0.8219 0.9524 0.9070 0.8638 0.8227 0.7835 0.9434 0.8900 0.8396 0.7921 0.7473 0.9346 0.8734 0.8163 0.7629 0.9259 0.8573 0.7938 0.7350 0.6806 0.9174 0.9091 0.8417 0.8264 0.7722 0.7513 0.7084 0.6830 0.6499 0.6209 0.9009 0.8116 0.7312 0.6587 0.5935 0.8929 0.7972 0.7118 0.6355 0.5674 0.8850 0.8772 0.7831 0.7695 0.6931 0.6750 0.6133 0.5921 0.5428 0.5194 0.8621 0.7432 0.6407 0.5523 0.4761 0.8475 0.7182 0.6086 0.5158 0.4371 0.8333 0.6944 0.5787 0.4823 0.7130 0.4019 6 7 8 9 10 0.7903 0.7599 0.7307 0.7026 0.6756 0.7462 0.7107 0.6768 0.6446 0.6139 0.7050 0.6651 0.6274 0.5919 0.5584 0.6663 0.6227 0.5820 0.5439 0.5083 0.6302 0.5835 0.5403 0.5002 0.4632 0.5963 0.5645 0.5470 0.5132 0.5019 0.4665 0.4604 0.4241 0.4224 0.3855 0.5346 0.4817 0.4339 0.3909 0.3522 0.5066 0.4523 0.4039 0.3606 0.3220 0.4803 0.4251 0.3762 0.3329 0.2946 0.4556 0.3996 0.3506 0.3075 0.2697 0.4104 0.3538 0.3050 0.2630 0.2267 0.3704 0.3139 0.2660 0.2255 0.1911 0.3349 0.2791 0.2326 0.1938 0.1615 11 12 13 14 15 0.6496 0.6246 0.6006 0.5775 0.5553 0.5847 0.5568 0.5303 0.5051 0.4810 0.5268 0.4970 0.4688 0.4423 0.4173 0.4751 0.4440 0.4150 0.3878 0.3624 0.4289 0.3971 0.3677 0.3405 0.3152 0.3875 0.3555 0.3262 0.2992 0.2745 0.3505 0.3186 0.2897 0.2633 0.2394 0.3173 0.2858 0.2575 0.2320 0.2090 0.2875 0.2567 0.2292 0.2046 0.1827 0.2607 0.2307 0.2042 0.1807 0.1599 0.2366 0.1954 0.2076 0.1685 0.1821 0.1452 0.1597 0.1252 0.1401 0.1079 0.1619 0.1372 0.1163 0.0985 0.0835 0.1346 0.1122 0.0935 0.0779 0.0649 16 0.5339 0.4581 17 0.5134 0.4363 18 0.4936 0.4155 19 0.4746 0.3957 20 0.4564 0.3769 $1 PV = (1 + i)" 0.3936 0.3714 0.3503 0.3305 0.3118 0.3387 0.3166 0.2959 0.2765 0.2584 0.2919 0.2703 0.2502 0.2317 0.2145 0.2519 0.2311 0.2120 0.1945 0.1784 0.2176 0.1978 0.1799 0.1635 0.1486 0.1883 0.1696 0.1528 0.1377 0.1240 0.1631 0.1456 0.1300 0.1161 0.1037 0.1415 0.1229 0.1252 0.1078 0.1108 0.0946 0.0981 0.0829 0.0868 0.0728 0.0930 0.0802 0.0691 0.0596 0.0514 0.0708 0.0600 0.0508 0.0431 0.0365 0.0541 0.0451 0.0376 0.0313 0.0261 APPENDIX 9.2 Present value of an annuity of $1 per period. Periods 4% 6% 10% 16% 18% 20% 1 2 3 4 5 0.9615 1.8861 2.7751 3.6299 4.4518 5% 0.9524 1.8594 2.7232 3.5460 4.3295 0.9434 1.8334 2.6730 3.4651 4.2124 7% 8% 8 9% 0.9346 0.9259 0.9174 1.8080 1.7833 1.7591 2.6243 2.5771 2.5313 3.3872 3.3121 3.2397 4.1002 3.9927 3.8897 0.9091 1.7355 2.4868 3.1698 3.7907 11% 12% 0.9009 0.8929 1.7125 1.6901 2.4437 2.4018 3.1024 3.0373 3.6959 3.6048 13% 14% 0.8850 0.8772 1.6681 1.6467 2.3612 2.3216 2.9745 2.9137 3.5172 3.4331 0.8621 1.6052 2.2459 2.7982 3.2743 0.8475 1.5656 2.1743 2.6901 3.1272 0.8333 1.5278 2.1065 2.5887 2.9906 5.3893 6 7 8 9 10 5.2421 6.0021 6.7327 7.4353 8.1109 5.0757 5.7864 6.4632 7.1078 7.7217 4.9173 5.5824 6.2098 6.8017 7.3601 4.7665 4.6229 4.4859 5.2064 5.0330 5.9713 5.7466 5.5348 6.5152 6.2469 5.9952 7.0236 6.7101 6.4177 4.3553 4.8684 5.3349 5.7590 6.1446 4.2305 4.7122 5.1461 5.5370 5.8892 4.1114 4.5638 4.9676 5.3282 5.6502 3.9975 4.4226 4.7988 5.1317 5.4262 3.8887 4.2883 4.6389 4.9464 5.2161 3.6847 4.0386 4.3436 4.6065 4.8332 3.4976 3.8115 4.0776 4.3030 4.4941 3.3255 3.6046 3.8372 4.0310 4.1925 11 12 13 14 15 8.7605 9.3851 9.9856 10.5631 11.1184 8.3064 8.8633 9.3936 9.8986 10.3797 7.8869 8.3838 8.8527 9.2950 9.7122 7.4987 7.9427 8.3577 8.7455 9.1079 7.1390 6.8052 6.4951 7.5361 7.1607 6.8137 7.9038 7.4869 7.1034 8.2442 7.7862 7.3667 8.5595 8.0607 7.6061 6.2065 6.4924 6.7499 6.9819 7.1909 5.9377 6.1944 6.4235 6.6282 6.8109 5.6869 5.9176 6.1218 6.3025 6.4624 5.4527 5.6603 5.8424 6.0021 6.1422 5.0286 5.1971 5.3423 5.4675 5.5755 4.6560 4.7932 4.9095 5.0081 5.0916 4.3271 4.4392 4.5327 4.6106 4.6755 16 17 18 19 20 11.6523 10.8378 10.1059 9.4466 8.8514 8.3126 12.1657 11.2741 10.4773 9.7632 9.1216 8.5436 12.6593 11.6896 10.8276 10.0591 9.3719 8.7556 13.1339 12.0853 11.1581 10.3356 9.6036 8.9501 13.5903 12.4622 11.4699 11.4699 10.5940 9.8181 9.1285 1 $1 - (1+1)" 7.8237 8.0216 8.2014 8.3649 8.5136 7.3792 7.5488 7.7016 7.8393 7.9633 6.9740 7.1196 7.2497 7.3658 7.4694 6.6039 6.7291 6.8399 6.9380 7.0248 6.2651 6.3729 6.4674 6.5504 6.6231 5.6685 5.7487 5.8178 5.8775 5.9288 5.1624 5.2223 5.2732 5.3162 5.3527 4.7296 4.7746 4.8122 4.8435 4.8696 DITA