Number of 1% 26 2% 3% 4% 5% 6% 7% 8% 9% 10% 11% 12% 13% 14% 15% 16% 17% 18% 19% 20% 25% Periods 1 0.9901 0.9804 0.9709 0.9615 0.9524 0.9434 0.9346 0.9259 2 0.9803 0.9612 0.9426 0.9246 0.9070 0.8900 0.8734 3 0.9706 0.9423 0.9151 0.8890 0.8638 0.8396 0.8163 4 5 0.9515 0.9057 0.9610 0.9238 0.8885 0.8548 0.8626 0.8219 0.8227 0.7835 0.8573 0.7938 0.7921 0.7629 0.7350 0.7473 0.7130 0.6806 0.9174 0.9091 0.9009 0.8929 0.8850 0.8772 0.8696 0.8621 0.8547 0.8475 0.8403 0.8333 0.8000 0.8417 0.8264 0.8116 0.7972 0.7831 0.7695 0.7561 0.7432 0.7305 0.7182 0.7062 0.6944 0.6400 0.7722 | 0.7513 | 0.7312 0.7118 0.6931 0.6750 0.6575 0.6407 0.6244 0.6086 0.5934 0.5787 0.5120 0.7084 0.6830 0.6587 0.6355 0.6133 0.5921 0.5718 0.5523 0.5337 0.6499 0.6209 0.5935 0.5674 0.5428 0.5194 0.4972 0.4761 0.4561 0.5158 0.4987 0.4823 0.4096 0.4371 0.4190 0.4019 0.3277 6 7 0.9420 0.8880 0.8375 0.9327 0.8706 0.8131 8 9 0.9143 0.8368 0.7664 0.7026 10 0.9053 0.8203 0.7441 0.6756 0.7903 0.7462 0.7050 0.6663 0.6302 0.7599 0.7107 0.6651 0.6227 0.5835 0.9235 0.8535 0.7894 0.7307 0.6274 0.5820 0.5403 0.5919 0.5439 0.5002 0.5584 0.5083 0.4632 0.6768 0.5963 0.5645 0.5470 0.5132 0.5019 0.6446 0.4604 0.6139 0.4224 11 0.8963 0.8043 0.7224 0.6496 0.5847 12 0.8874 0.7885 0.7014 0.6246 0.5568 13 0.8787 0.7730 0.6810 14 0.8700 0.7579 15 0.8613 0.7430 0.6611 0.6419 0.6006 0.5775 0.5553 16 0.8528 0.7284 0.6232 17 18 19 20 0.8444 0.7142 0.6050 0.8360 0.7002 0.5874 0.8277 0.6864 0.5703 0.8195 0.6730 0.5537 25 30 40 0.6717 50 60 0.6080 0.5504 0.5346 0.4817 0.4523 0.4251 0.3996 0.3759 0.3538 0.3332 0.3139 0.2959 0.2791 0.2097 0.4665 0.4339 0.4039 0.3762 0.3506 0.3269 0.3050 0.2848 0.2660 0.2487 0.2326 0.1678 0.4241 0.3909 0.3606 0.3329 0.3075 0.2843 0.2630 0.2434 0.2255 0.2090 0.1938 0.1342 0.3855 0.3522 0.3220 0.2946 0.2697 0.2472 0.2267 0.2080 0.1911 0.1756 0.1615 0.1074 0.5066 0.4803 0.4556 0.4323 0.4104 0.3898 0.3704 0.3521 0.3349 0.2621 0.0859 0.0687 0.5268 0.4751 0.4289 0.3875 0.3505 0.3173 0.2875 0.2607 0.2366 0.2149 0.1954 0.1778 0.1619 0.1476 0.1346 0.4970 0.4440 | 0.3971 0.3555 0.3186 0.2858 0.2567 0.2307 0.2076 0.1869 0.1685 0.1520 0.1372 0.1240 0.1122 0.4150 0.3677 0.3262 0.2897 0.2575 0.2292 0.2042 0.1821 0.1625 0.1452 0.1299 0.1163 0.1042 0.0935 0.0550 0.3878 0.3405 0.2992 0.2633 0.2320 0.2046 0.1807 0.1597 0.1413 0.1252 0.1110 0.0985 0.0876 0.0779 0.0440 0.3624 0.3152 0.2745 0.2394 0.2090 0.1827 0.1599 0.1401 0.1229 0.1079 0.0949 0.0835 0.0736 0.0649 0.0352 0.5303 0.4688 0.5051 0.4423 0.4810 0.4173 0.5339 0.4581 0.3936 0.3387 0.2919 0.2519 0.2176 0.1883 0.1631 0.1415 0.1229 0.1069 0.0930 0.0811 0.0708 0.0618 0.0541 0.0281 0.5134 0.4363 0.3714 0.3166 0.2703 0.2311 0.1978 0.1696 0.1456 0.1252 0.1078 0.0929 0.0802 0.0693 0.0600 0.0520 0.0451 0.0225 0.4936 0.4155 0.3503 0.2959 0.2502 0.2120 0.1799 0.1528 0.1300 0.1108 0.0946 0.0808 0.0691 0.0592 0.0508 0.0437 0.0376 0.0180 0.4746 0.3957 0.3305 0.2765 0.2317 0.1945 0.1635 0.1377 0.1161 0.0981 0.0829 0.0703 0.0596 0.0506 0.0431 0.0367 0.0313 | 0.0144 0.4564 0.3769 0.3118 0.2584 0.2145 0.1784 0.1486 0.1240 0.1037 0.0868 0.0728 0.0611 0.0514 0.0433 0.0365 0.0308 0.0261 0.0115 0.7798 0.6095 0.4776 0.3751 0.2953 0.2330 0.1842 0.7419 0.5521 0.4120 0.3083 0.2314 0.1741 0.1314 0.4529 0.3066 0.2083 0.1420 0.0972 0.0668 0.3715 0.2281 0.1407 0.0872 0.0543 0.0339 0.3048 0.1697 0.0951 0.0535 0.0303 0.0173 0.1460 0.0994 0.0460 0.1160 0.0923 0.0736 0.0588 0.0471 0.0754 | 0.0573 0.0437 0.0334 0.0256 0.0318 0.0221 0.0154 0.0107 0.0075 0.0213 0.0134 0.0085 0.0054 0.0035 0.0022 0.0099 0.0057 0.0033 0.0019 0.0011 0.0007 0.0378 0.0304 0.0245 0.0197 0.0160 0.0129 0.0105 0.0038 0.0196 | 0.0151 0.0116 | 0.0090 | 0.0070 | 0.0054 | 0.0042 | 0.0012 0.0053 0.0037 0.0026 0.0019 0.0013 0.0010 0.0007 0.0001 0.0009 0.0006 0.0004 0.0003 0.0002 0.0002 0.0001 0.0001 0.0014 0.0004 0.0001 0.9174 0.9091 0.9009 0.8929 0.8850 0.8772 0.8696 0.8621 0.8547 0.8475 0.8403 0.8333 1.7591 1.7355 1.7125 1.6901 1.6681 1.6467 1.6257 1.6052 1.5852 1.5656 1.5465 1.5278 2.5313 2.4869 2.4437 2.4018 2.3612 2.3216 2.2832 2.2459 2.2096 2.1743 2.1399 2.1065 3.3121 3.2397 3.1699 3.1024 3.0373 2.9745 2.9137 2.8550 2.7982 2.7432 2.6901 2.6386 2.5887 3.9927 3.8897 3.7908 3.6959 3.6048 3.5172 3.4331 3.6847 4.2305 4.1114 3.9975 3.8887 3.7845 3.5892 3.4976 3.4098 3.3255 5.0330 4.8684 4.7122 4.5638 4.4226 4.2883 4.1604 4.0386 3.9224 3.8115 3.7057 3.6046 5.5348 5.3349 5.1461 4.9676 4.7988 4.6389 4.4873 4.3436 4.2072 4.0776 3.9544 3.8372 5.9952 5.7590 5.5370 5.3282 5.1317 4.9464 4.7716 4.6065 4.4506 4.3038 4.1633 4.0310 6.4177 6.1446 5.8892 5.6502 5.4262 5.2161 5.0188 4.8332 4.6586 4.4941 4.3389 4.1925 Number of 1% 2% 3% 4% 5% 6% 7% 8% 9% 10% 11% 12% 13% 14% 15% 16% 17% 18% 19% 20% Periods 1 0.9901 0.9804 0.9709 0.9615 0.9524 0.9434 0.9346 0.9259 2 1.9704 1.9416 1.9135 1.8861 1.8594 3 2.9410 2.8839 2.8286 2.7751 2.7232 2.6730 4 5 3.9020 3.8077 4.8534 4.7135 3.7171 3.6299 3.5460 3.4651 4.5797 4.4518 4.3295 4.2124 1.8334 1.8080 2.6243 3.3872 4.1002 1.7833 2.5771 3.3522 3.2743 3.1993 3.1272 3.0576 2.9906 6 5.7955 5.6014 5.4172 5.2421 5.0757 4.9173 7 6.7282 6.4720 6.2303 6.0021 5.7864 4.7665 5.5824 5.3893 4.6229 5.2064 4.4859 4.3553 8 7.6517 7.3255 7.0197 6.7327 6.4632 6.2098 5.9713 5.7466 9 8.5660 8.1622 7.7861 7.4353 7.1078 6.8017 6.5152 10 9.4713 8.9826 8.5302 8.1109 7.7217 7.3601 7.0236 6.2469 6.7101 11 10.3676 9.7868 9.2526 8.7605 8.3064 7.8869 7.4987 12 11.2551 10.5753 9.9540 9.3851 8.8633 8.3838 7.9427 13 12.1337 11.3484 10.6350 9.9856 9.3936 8.8527 8.3577 14 15 13.0037 12.1062 11.2961 13.8651 12.8493 11.9379 10.5631 9.8986 9.2950 8.7455 11.1184 10.3797 9.7122 9.1079 16 14.7179 13.5777 12.5611 17 15.5623 14.2919 13.1661 11.6523 10.8378 10.1059 12.1657 11.2741 10.4773 18 19 16.3983 14.9920 17.2260 15.6785 13.7535 20 18.0456 16.3514 9.4466 8.8514 9.7632 9.1216 12.6593 11.6896 10.8276 10.0591 9.3719 14.3238 13.1339 12.0853 11.1581 10.3356 14.8775 13.5903 12.4622 11.4699 10.5940 9.6036 9.8181 25 30 40 50 60 7.1390 6.8052 6.4951 6.2065 5.9377 5.6869 5.4527 5.2337 5.0286 4.8364 4.6560 4.4865 4.3271 7.5361 7.1607 6.8137 6.4924 6.1944 5.9176 5.6603 5.4206 5.1971 4.9884 4.7932 4.6105 4.4392 7.9038 7.4869 7.1034 6.7499 6.4235 6.1218 5.8424 5.5831 5.3423 5.1183 4.9095 4.7147 4.5327 8.2442 7.7862 7.3667 6.9819 6.6282 6.3025 6.0021 5.7245 5.4675 5.2293 5.0081 4.8023 4.6106 8.5595 8.0607 7.6061 7.1909 6.8109 6.4624 6.1422 5.8474 5.5755 5.3242 5.0916 4.8759 4.6755 6.9740 8.3126 7.8237 7.3792 6.6039 6.2651 5.9542 5.6685 5.4053 5.1624 4.9377 4.7296 8.5436 8.0216 7.5488 7.1196 6.7291 6.3729 6.0472 5.7487 5.4746 5.2223 4.9897 4.7746 8.7556 8.2014 7.7016 7.2497 6.8399 6.4674 6.1280 5.8178 5.5339 5.2732 5.0333 4.8122 8.9501 8.3649 7.8393 7.3658 6.9380 6.5504 6.1982 5.8775 5.5845 5.3162 5.0700 4.8435 9.1285 8.5136 7.9633 7.4694 7.0248 6.6231 6.2593 5.9288 5.6278 5.3527 5.1009 4.8696 5.2347 4.9789 22.0232 19.5235 17.4131 15.6221 14.0939 12.7834 11.6536 10.6748 9.8226 9.0770 8.4217 7.8431 7.3300 6.8729 6.4641 6.0971 5.7662 5.4669 5.1951 4.9476 25.8077 22.3965 19.6004 17.2920 15.3725 13.7648 12.4090 11.2578 10.2737 9.4269 8.6938 8.0552 7.4957 7.0027 6.5660 6.1772 5.8294 5.5168 32.8347 27.3555 23.1148 19.7928 17.1591 15.0463 13.3317 11.9246 10.7574 9.7791 8.9511 8.2438 7.6344 7.1050 6.6418 6.2335 5.8713 5.5482 5.2582 4.9966 39.1961 31.4236 25.7298 21.4822 18.2559 15.7619 13.8007 12.2335 10.9617 9.9148 9.0417 8.3045 44.9550 34.7609 27.6756 22.6235 18.9293 16.1614 14.0392 12.3766 11.0480 9.9672 9.0736 8.3240 7.6752 7.1327 6.6605 6.2463 5.8801 5.5541 5.2623 4.9995 7.6873 7.1401 6.6651 6.2402 5.8819 5.5553 5.2630 4.9999