Robert Williams is evaluating two new business opportunities. Each of the opportunities shown below has a 15-year life. Robert uses a 12% discount rate.
| | | Option 1 | | Option 2 |
| Equipment purchase and installation | | $71,800 | | $82,390 |
| Annual cash flow | | $28,600 | | $30,870 |
| Equipment overhaul in year 6 | | $4,690 | | - |
| Equipment overhaul in year 8 | | - | | $5,970 |
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 0 decimal places, e.g. 59,991.)
| | Option 1 | Option 2 |
| Net present value | $enter a dollar amount rounded to 0 decimal places | $enter a dollar amount rounded to 0 decimal places |
Calculate the profitability index of the two opportunities. (Round answers to 2 decimal places, e.g. 15.25.)
| | Option 1 | Option 2 |
| Profitability Index | enter profitability index rounded to 2 decimal places | enter profitability index rounded to 2 decimal places |
10% 11% 12% 13% 14% 16% 18% 20% APPENDIX 9.1 Present value of $1 received in n periods. Periods 5% 6% 7% 8% 9% 1 0.9615 0.9524 0.9434 0.9346 0.9259 0.9174 2 0.9246 0.9070 0.8900 0.8734 0.8573 0.8417 3 0.8890 0.8638 0.8396 0.8163 0.7938 0.7722 4 0.8548 0.8227 0.7921 0.7629 0.7350 0.7084 5 0.8219 0.7835 0.7473 0.7130 0.6806 0.6499 0.9091 0.8264 0.7513 0.6830 0.6209 0.9009 0.8116 0.7312 0.6587 0.5935 0.8929 0.7972 0.7118 0.6355 0.5674 0.8850 0.7831 0.6931 0.6133 0.5428 0.8772 0.7695 0.6750 0.5921 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 0.4019 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 0.5470 0.5019 0.4604 0.4224 0.5645 0.5132 0.4665 0.4241 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 0.2076 0.1821 0.1597 0.1401 0.1954 0.1685 0.1452 0.1252 0.1079 0.1619 0.1372 0.1163 0.0985 0.0835 0.1346 0.1122 0.0935 0.0779 0.0649 16 17 18 19 20 0.5339 0.5134 0.4936 0.4746 0.4564 $1 (1 + i)" 0.4581 0.4363 0.4155 0.3957 0.3769 0.3936 0.3714 0.3503 0.3305 0.3118 0.3387 0.3166 0.2959 0.2765 0.2584 0.2919 0.2519 0.2703 0.2311 0.2502 0.2120 0.2317 0.1945 0.2145 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 0.1252 0.1108 0.0981 0.0868 0.1229 0.1078 0.0946 0.0829 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 PV = APPENDIX 9.2 Present value of an annuity of $1 per period. 4% 5% 6% 7% 8% 9% 10% 11% 13% 14% 16% 18% 20% Periods 1 2 3 4 5 0.9615 1.8861 2.7751 3.6299 4.4518 0.9524 1.8594 2.7232 3.5460 4.3295 0.9434 1.8334 2.6730 3.4651 4.2124 0.9346 1.8080 2.6243 3.3872 4.1002 0.9259 1.7833 2.5771 3.3121 3.9927 0.9174 0.9091 1.7591 1.7355 2.5313 2.4868 3.2397 3.1698 3.8897 3.7907 0.9009 1.7125 2.4437 3.1024 3.6959 12% 0.8929 1.6901 2.4018 3.0373 3.6048 0.8850 1.6681 2.3612 2.9745 3.5172 0.8772 1.6467 2.3216 2.9137 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 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 5.3893 5.9713 6.5152 7.0236 4.6229 4.4859 5.2064 5.0330 5.7466 5.5348 6.2469 5.9952 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 7.5361 7.9038 8.2442 8.5595 6.8052 7.1607 7.4869 7.7862 8.0607 6.4951 6.8137 7.1034 7.3667 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 11.6523 10.8378 10.1059 9.4466 8.8514 8.3126 17 12.1657 11.2741 10.4773 9.7632 9.1216 8.5436 18 12.6593 11.6896 10.8276 10.0591 9.3719 8.7556 19 13.1339 12.0853 11.1581 10.3356 9.6036 8.9501 20 13.5903 12.4622 11.4699 10.5940 9.8181 9.1285 1 $1 - (1+1) PVA = 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
