Cumulative Present Value Rate Chart

Present value of one rupee per year, n years at r %

N 1% 2% 3% 4% 5% 6% 7% 8% 9% 10% N
1 0.9901 0.9804 0.9709 0.9615 0.9524 0.9434 0.9346 0.9259 0.9174 0.9091 1
2 1.9704 1.9416 1.9135 1.8861 1.8594 1.8334 1.8080 1.7833 1.7591 1.7355 2
3 2.9410 2.8839 2.8286 2.7751 2.7232 2.6730 2.6243 2.5771 2.5313 2.4869 3
4 3.9020 3.8077 3.7171 3.6299 3.5460 3.4651 3.3872 3.3121 3.2397 3.1699 4
5 4.8534 4.7135 4.5797 4.4518 4.3295 4.2124 4.1002 3.9927 3.8897 3.7908 5
6 5.7955 5.6014 5.4172 5.2421 5.0757 4.9173 4.7665 4.6229 4.4859 4.3553 6
7 6.7282 6.4720 6.2303 6.0021 5.7864 5.5824 5.3893 5.2064 5.0330 4.8684 7
8 7.6517 7.3255 7.0197 6.7327 6.4632 6.2098 5.9713 5.7466 5.5348 5.3349 8
9 8.5660 8.1622 7.7861 7.4353 7.1078 6.8017 6.5152 6.2469 5.9952 5.7590 9
10 9.4713 8.9826 8.5302 8.1109 7.7217 7.3601 7.0236 6.7101 6.4177 6.1446 10
11 10.3676 9.7868 9.2526 8.7605 8.3064 7.8869 7.4987 7.1390 6.8052 6.4951 11
12 11.2551 10.5753 9.9540 9.3851 8.8633 8.3838 7.9427 7.5361 7.1607 6.8137 12
13 12.1337 11.3484 10.6350 9.9856 9.3936 8.8527 8.3577 7.9038 7.4869 7.1034 13
14 13.0037 12.1062 11.2961 10.5631 9.8986 9.2950 8.7455 8.2442 7.7862 7.3667 14
15 13.8651 12.8493 11.9379 11.1184 10.3797 9.7122 9.1079 8.5595 8.0607 7.6061 15
16 14.7179 13.5777 12.5611 11.6523 10.8378 10.1059 9.4466 8.8514 8.3126 7.8237 16
17 15.5623 14.2919 13.1661 12.1657 11.2741 10.4773 9.7632 9.1216 8.5436 8.0216 17
18 16.3983 14.9920 13.7535 12.6593 11.6896 10.8276 10.0591 9.3719 8.7556 8.2014 18
19 17.2260 15.6785 14.3238 13.1339 12.0853 11.1581 10.3356 9.6036 8.9501 8.3649 19
20 18.0456 16.3514 14.8775 13.5903 12.4622 11.4699 10.5940 9.8181 9.1285 8.5136 20
21 18.8570 17.0112 15.4150 14.0292 12.8212 11.7641 10.8355 10.0168 9.2922 8.6487 21
22 19.6604 17.6580 15.9369 14.4511 13.1630 12.0416 11.0612 10.2007 9.4424 8.7715 22
23 20.4558 18.2922 16.4436 14.8568 13.4886 12.3034 11.2722 10.3711 9.5802 8.8832 23
24 21.2434 18.9139 16.9355 15.2470 13.7986 12.5504 11.4693 10.5288 9.7066 8.9847 24
25 22.0232 19.5235 17.4131 15.6221 14.0939 12.7834 11.6536 10.6748 9.8226 9.0770 25
N 11% 12% 13% 14% 15% 16% 17% 18% 19% 20% N
1 0.9009 0.8929 0.8850 0.8772 0.8696 0.8621 0.8547 0.8475 0.8403 0.8333 1
2 1.7125 1.6901 1.6681 1.6467 1.6257 1.6052 1.5852 1.5656 1.5465 1.5278 2
3 2.4437 2.4018 2.3612 2.3216 2.2832 2.2459 2.2096 2.1743 2.1399 2.1065 3
4 3.1024 3.0373 2.9745 2.9137 2.8550 2.7982 2.7432 2.6901 2.6386 2.5887 4
5 3.6959 3.6048 3.5172 3.4331 3.3522 3.2743 3.1993 3.1272 3.0576 2.9906 5
6 4.2305 4.1114 3.9975 3.8887 3.7845 3.6847 3.5892 3.4976 3.4098 3.3255 6
7 4.7122 4.5638 4.4226 4.2883 4.1604 4.0386 3.9224 3.8115 3.7057 3.6046 7
8 5.1461 4.9676 4.7988 4.6389 4.4873 4.3436 4.2072 4.0776 3.9544 3.8372 8
9 5.5370 5.3282 5.1317 4.9464 4.7716 4.6065 4.4506 4.3030 4.1633 4.0310 9
10 5.8892 5.6502 5.4262 5.2161 5.0188 4.8332 4.6586 4.4941 4.3389 4.1925 10
11 6.2065 5.9377 5.6869 5.4527 5.2337 5.0286 4.8364 4.6560 4.4865 4.3271 11
12 6.4924 6.1944 5.9176 5.6603 5.4206 5.1971 4.9884 4.7932 4.6105 4.4392 12
13 6.7499 6.4235 6.1218 5.8424 5.5831 5.3423 5.1183 4.9095 4.7147 4.5327 13
14 6.9819 6.6282 6.3025 6.0021 5.7245 5.4675 5.2293 5.0081 4.8023 4.6106 14
15 7.1909 6.8109 6.4624 6.1422 5.8474 5.5755 5.3242 5.0916 4.8759 4.6755 15
16 7.3792 6.9740 6.6039 6.2651 5.9542 5.6685 5.4053 5.1624 4.9377 4.7296 16
17 7.5488 7.1196 6.7291 6.3729 6.0472 5.7487 5.4746 5.2223 4.9897 4.7746 17
18 7.7016 7.2497 6.8399 6.4674 6.1280 5.8178 5.5339 5.2732 5.0333 4.8122 18
19 7.8393 7.3658 6.9380 6.5504 6.1982 5.8775 5.5845 5.3162 5.0700 4.8435 19
20 7.9633 7.4694 7.0248 6.6231 6.2593 5.9288 5.6278 5.3527 5.1009 4.8696 20
21 8.0751 7.5620 7.1016 6.6870 6.3125 5.9731 5.6648 5.3837 5.1268 4.8913 21
22 8.1757 7.6446 7.1695 6.7429 6.3587 6.0113 5.6964 5.4099 5.1486 4.9094 22
23 8.2664 7.7184 7.2297 6.7921 6.3988 6.0442 5.7234 5.4321 5.1668 4.9245 23
24 8.3481 7.7843 7.2829 6.8351 6.4338 6.0726 5.7465 5.4509 5.1822 4.9371 24
25 8.4217 7.8431 7.3300 6.8729 6.4641 6.0971 5.7662 5.4669 5.1951 4.9476 25
N 21%

22% 23% 24% 25% 26% 27% 28% 29% 30% N
                       
1 0.8264 0.8197 0.8130 0.8065 0.8000 0.7937 0.7874 0.7813 0.7752 0.7692 1
2 1.5095 1.4915 1.4740 1.4568 1.4400 1.4235 1.4074 1.3916 1.3761 1.3609 2
3 2.0739 2.0422 2.0114 1.9813 1.9520 1.9234 1.8956 1.8684 1.8420 1.8161 3
4 2.5404 2.4936 2.4483 2.4043 2.3616 2.3202 2.2800 2.2410 2.2031 2.1662 4
5 2.9260 2.8636 2.8035 2.7454 2.6893 2.6351 2.5827 2.5320 2.4830 2.4356 5
6 3.2446 3.1669 3.0923 3.0205 2.9514 2.8850 2.8210 2.7594 2.7000 2.6427 6
7 3.5079 3.4155 3.3270 3.2423 3.1611 3.0833 3.0087 2.9370 2.8682 2.8021 7
8 3.7256 3.6193 3.5179 3.4212 3.3289 3.2407 3.1564 3.0758 2.9986 2.9247 8
9 3.9054 3.7863 3.6731 3.5655 3.4631 3.3657 3.2728 3.1842 3.0997 3.0190 9
10 4.0541 3.9232 3.7993 3.6819 3.5705 3.4648 3.3644 3.2689 3.1781 3.0915 10
11 4.1769 4.0354 3.9018 3.7757 3.6564 3.5435 3.4365 3.3351 3.2388 3.1473 11
12 4.2784 4.1274 3.9852 3.8514 3.7251 3.6059 3.4933 3.3868 3.2859 3.1903 12
13 4.3624 4.2028 4.0530 3.9124 3.7801 3.6555 3.5381 3.4272 3.3224 3.2233 13
14 4.4317 4.2646 4.1082 3.9616 3.8241 3.6949 3.5733 3.4587 3.3507 3.2487 14
15 4.4890 4.3152 4.1530 4.0013 3.8593 3.7261 3.6010 3.4834 3.3726 3.2682 15
16 4.5364 4.3567 4.1894 4.0333 3.8874 3.7509 3.6228 3.5026 3.3896 3.2832 16
17 4.5755 4.3908 4.2190 4.0591 3.9099 3.7705 3.6400 3.5177 3.4028 3.2948 17
18 4.6079 4.4187 4.2431 4.0799 3.9279 3.7861 3.6536 3.5294 3.4130 3.3037 18
19 4.6346 4.4415 4.2627 4.0967 3.9424 3.7985 3.6642 3.5386 3.4210 3.3105 19
20 4.6567 4.4603 4.2786 4.1103 3.9539 3.8083 3.6726 3.5458 3.4271 3.3158 20
21 4.6750 4.4756 4.2916 4.1212 3.9631 3.8161 3.6792 3.5514 3.4319 3.3198 21
22 4.6900 4.4882 4.3021 4.1300 3.9705 3.8223 3.6844 3.5558 3.4356 3.3230 22
23 4.7025 4.4985 4.3106 4.1371 3.9764 3.8273 3.6885 3.5592 3.4384 3.3254 23
24 4.7128 4.5070 4.3176 4.1428 3.9811 3.8312 3.6918 3.5619 3.4406 3.3272 24
25 4.7213 4.5139 4.3232 4.1474 3.9849 3.8342 3.6943 3.5640 3.4423 3.3286 25
N 31% 32% 33% 34% 35% 36% 37% 38% 39% 40% N
                       
1 0.7634 0.7576 0.7519 0.7463 0.7407 0.7353 0.7299 0.7246 0.7194 0.7143 1
2 1.3461 1.3315 1.3172 1.3032 1.2894 1.2760 1.2627 1.2497 1.2370 1.2245 2
3 1.7909 1.7663 1.7423 1.7188 1.6959 1.6735 1.6516 1.6302 1.6093 1.5889 3
4 2.1305 2.0957 2.0618 2.0290 1.9969 1.9658 1.9355 1.9060 1.8772 1.8492 4
5 2.3897 2.3452 2.3021 2.2604 2.2200 2.1807 2.1427 2.1058 2.0699 2.0352 5
6 2.5875 2.5342 2.4828 2.4331 2.3852 2.3388 2.2939 2.2506 2.2086 2.1680 6
7 2.7386 2.6775 2.6187 2.5620 2.5075 2.4550 2.4043 2.3555 2.3083 2.2628 7
8 2.8539 2.7860 2.7208 2.6582 2.5982 2.5404 2.4849 2.4315 2.3801 2.3306 8
9 2.9419 2.8681 2.7976 2.7300 2.6653 2.6033 2.5437 2.4866 2.4317 2.3790 9
10 3.0091 2.9304 2.8553 2.7836 2.7150 2.6495 2.5867 2.5265 2.4689 2.4136 10
11 3.0604 2.9776 2.8987 2.8236 2.7519 2.6834 2.6180 2.5555 2.4956 2.4383 11
12 3.0995 3.0133 2.9314 2.8534 2.7792 2.7084 2.6409 2.5764 2.5148 2.4559 12
13 3.1294 3.0404 2.9559 2.8757 2.7994 2.7268 2.6576 2.5916 2.5286 2.4685 13
14 3.1522 3.0609 2.9744 2.8923 2.8144 2.7403 2.6698 2.6026 2.5386 2.4775 14
15 3.1696 3.0764 2.9883 2.9047 2.8255 2.7502 2.6787 2.6106 2.5457 2.4839 15
16 3.1829 3.0882 2.9987 2.9140 2.8337 2.7575 2.6852 2.6164 2.5509 2.4885 16
17 3.1931 3.0971 3.0065 2.9209 2.8398 2.7629 2.6899 2.6206 2.5546 2.4918 17
18 3.2008 3.1039 3.0124 2.9260 2.8443 2.7668 2.6934 2.6236 2.5573 2.4941 18
19 3.2067 3.1090 3.0169 2.9299 2.8476 2.7697 2.6959 2.6258 2.5592 2.4958 19
20 3.2112 3.1129 3.0202 2.9327 2.8501 2.7718 2.6977 2.6274 2.5606 2.4970 20
21 3.2147 3.1158 3.0227 2.9349 2.8519 2.7734 2.6991 2.6285 2.5616 2.4979 21
22 3.2173 3.1180 3.0246 2.9365 2.8533 2.7746 2.7000 2.6294 2.5623 2.4985 22
23 3.2193 3.1197 3.0260 2.9377 2.8543 2.7754 2.7008 2.6300 2.5628 2.4989 23
24 3.2209 3.1210 3.0271 2.9386 2.8550 2.7760 2.7013 2.6304 2.5632 2.4992 24
25 3.2220 3.1220 3.0279 2.9392 2.8556 2.7765 2.7017 2.6307 2.5634 2.4994 25

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