Time Value of Money Tables Table B.1* Present Value of 1 p = 1/(1+i)" Rate Periods 1% 2% 3% 4% 5% 6% 7% 8% 9% 10% 12% 15% 1 2 3 4 5 6 7 8 9 0.7835 0.7473 0.7130 0.6506 0.6499 0.6209 0.5674 0.4972 0.9420 0.SSS0 0.8375 0.7903 0.7462 0.7050 0.6663 0.6302 0.5963 0.5645 0.5066 0.4323 0.9327 0.3706 0.8131 0.7599 0.7107 0.6651 0.6227 0.5835 0.5470 0.5132 0.4523 0.3759 0.9235 0.8535 0.7894 0.7307 0.676S 0.6274 0.5520 0.5403 0.5019 0.4665 0.4039 0.3269 0.9143 0.8368 0.7664 0.7026 0.6446 0.5919 0.5439 0.5002 0.4604 0.4241 0.3606 0.2843 0.9901 0.9804 0.9709 0.9615 0.9524 0.9434 0.9346 0.9259 0.9174 0.9091 0.5929 0.5696 0.9503 0.9612 0.9426 0.9246 0.9070 0.5900 0.8734 0.8573 0.8417 0.8264 0.7972 0.7561 0.9706 0.9423 0.9151 0.8590 0.863S 0.8396 0.8163 0.7938 0.7722 0.7513 0.7115 0.6575 0.9610 0.9238 0.SSS5 0.8548 0.8227 0.7921 0.7629 0.7350 0.7054 0.6830 0.6355 0.5718 0.9515 0.9057 0.8626 0.8219 10 11 0.5963 0.5043 0.7224 0.6496 0.5847 12 13 0.SS74 0.7885 0.7014 0.6246 0.556S 0.8787 0.7730 0.6510 0.6006 0.5303 14 0.8700 0.7579 0.6611 0.5775 0.5051 15 0.8613 0.7430 0.6419 0.5553 16 17 18 19 20 0.9053 0.8203 0.7441 0.6756 0.6139 0.5554 0.5083 0.4632 0.4224 0.3855 0.3220 0.2472 0.5268 0.4751 0.4289 0.3875 0.3505 0.2875 0.2149 0.1869 0.46SS 0.4150 0.3677 0.3262 0.2597 0.2292 0.1625 0.4423 0.3878 0.3405 0.2992 0.2633 0.2046 0.1413 0.4810 0.4173 0.3624 0.3152 0.2745 0.2394 0.1827 0.1229 0.8528 0.7284 0.6232 0.5339 0.4551 0.3936 0.3387 0.2919 0.2519 0.2176 0.1631 0.1069 0.8444 0.7142 0.6050 0.5134 0.4363 0.3714 0.3166 0.2703 0.231 0.1978 0.1456 0.0929 0.8360 0.7002 0.5574 0.4936 0.4155 0.3503 0.2959 0.2502 0.2120 0.1799 0.1300 0.050s 0.8277 0.6864 0.5703 0.4746 0.3957 0.3305 0.2765 0.2317 0.1945 0.1635 0.1161 0.0703 0.8195 0.6730 0.5537 0.4564 0.3769 0.311S 0.2554 0.2145 0.1754 0.1456 0.1037 0.0611 25 0.7798 0.6095 0.4776 0.3751 0.2953 0.2330 0.1842 0.1460 0.1160 0.0923 0.0588 0.0304 0.4970 0.4440 0.3971 0.3555 0.3156 0.2567 30 35 40 0.7419 0.5521 0.4120 0.3053 0.2314 0.1741 0.7059 0.5000 0.3554 0.2534 0.1813 0.1301 0.6717 0.4529 0.3066 0.2083 0.1420 0.0972 0.066S 0.0460 0.031S 0.0221 0.0107 0.0037 0.1314 0.0994 0.0754 0.0573 0.0334 0.0151 0.0937 0.0676 0.0490 0.0356 0.0159 0.0075 *Used to compute the present value of a known future amount. For example: How much would you need to invest today at 10% compounded semiannually to accumulate $5,000 in 6 years from today? Using the factors of n = 12 and i=5% (12 semiannual periods and a semiannual rate of 5%), the factor is 0.5566. You would need to invest $2,784 today ($5,000 x 0.5568).