APPENDIX 9.1 Present value of $1 received in n periods. Periods 5% 7% 9% 10% 11% 13% 14% 16% 18% 20% 1 2 3 4 5 NM 4% 0.9615 0.9246 0.8890 0.8548 0.8219 0.9524 0.9070 0.8638 0.8227 0.7835 6% 0.9434 0.8900 0.8396 0.7921 0.7473 0.9346 0.8734 0.8163 0.7629 0.7130 8% 0.9259 0.8573 0.7938 0.7350 0.6806 0.9174 0.8417 0.7722 0.7084 0.6499 0.9091 0.8264 0.7513 0.6830 0.6209 0.9009 0.8116 0.7312 0.6587 0.5935 12% 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 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 nus 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 0.2703 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 0.1252 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. Periods 4% 5% 6% 7% 8% 9% 10% 11% 12% 13% 14% 16% 18% 20% 1 2 3 4 5 UN 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 0.9259 0.9174 0.9091 1.8080 1.7833 1.7591 1.7355 2.6243 2.5771 2.5313 2.4868 3.3872 3.3121 3.2397 3.1698 4.1002 3.9927 3.8897 3.7907 0.9009 1.7125 2.4437 3.1024 3.6959 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 67890 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 5.3893 5.2064 5.9713 5.7466 6.5152 6.2469 7.0236 6.7101 4.4859 4.3553 5.0330 4.8684 5.5348 5.3349 5.9952 5.7590 6.4177 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 10 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 75361 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 11.6523 10.8378 10.1059 9.4466 17 12.1657 11.2741 10.4773 9.7632 18 12.6593 11.6896 10.8276 10.0591 19 13.1339 12.0853 11.1581 10.3356 20 13.5903 12.4622 11.4699 10.5940 1 $1 - (1 + i)" PVAL = 1 8.8514 9.1216 9.3719 9.6036 9.8181 8.3126 7.8237 8.5436 8.0216 8.7556 8.2014 8.9501 8.3649 9.1285 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 Ruth Gentry won an $30,000,000 lottery and elected to receive her winnings in 30 equal annual installments. After receiving the first 10 installments, Ruth and her husband divorced, and the remaining 20 payments became part of the property settlement. The judge who presided over the divorce proceedings awarded one-half interest in the future lottery payments to Ruth and the other half to her ex-husband. Following the divorce, Ruth decided to sell her interest in the 20 remaining lottery payments to raise the cash needed to open a flower store. An investor has offered Ruth $4,256,800. Click here to view the factor table. What discount rate did the investor use in calculating the purchase price? (Round answer to O decimal places, e.g. 25%.) Discount rate %