7% Interest Factors for Annual Compounding
|
Single Payment |
Equal-Payment Series |
||||
n |
Future-Worth Factor |
Present-Worth Factor |
Future-Worth Factor |
Annual-Worth Factor |
Present-Worth Factor |
Annual-Worth Factor |
To Find F |
To Find P |
To Find F |
To Find A |
To Find P |
To Find A |
|
Given P |
Given F |
Given A |
Given F |
Given A |
Given P |
|
F/P,i,n |
P/F,i,n |
F/A,i,n |
A/F,i, n |
P/A,i,n |
A/P,i,n |
|
1 |
1.0700 |
0.9346 |
1.0000 |
1.0000 |
0.9346 |
1.0700 |
2 |
1.1449 |
0.8734 |
2.0700 |
0.4831 |
1.8080 |
0.5531 |
3 |
1.2250 |
0.8163 |
3.2149 |
0.3111 |
2.6243 |
0.3811 |
4 |
1.3108 |
0.7629 |
4.4399 |
0.2252 |
3.3872 |
0.2952 |
5 |
1.4026 |
0.7130 |
5.7507 |
0.1739 |
4.1002 |
0.2439 |
6 |
1.5007 |
0.6663 |
7.1533 |
0.1398 |
4.7665 |
0.2098 |
7 |
1.6058 |
0.6227 |
8.6540 |
0.1156 |
5.3893 |
0.1856 |
8 |
1.7182 |
0.5820 |
10.2598 |
0.0975 |
5.9713 |
0.1675 |
9 |
1.8385 |
0.5439 |
11.9780 |
0.0835 |
6.5152 |
0.1535 |
10 |
1.9672 |
0.5083 |
13.8164 |
0.0724 |
7.0236 |
0.1424 |
11 |
2.1049 |
0.4751 |
15.7836 |
0.0634 |
7.4987 |
0.1334 |
12 |
2.2522 |
0.4440 |
17.8885 |
0.0559 |
7.9427 |
0.1259 |
13 |
2.4098 |
0.4150 |
20.1406 |
0.0497 |
8.3577 |
0.1197 |
14 |
2.5785 |
0.3878 |
22.5505 |
0.0443 |
8.7455 |
0.1143 |
15 |
2.7590 |
0.3624 |
25.1290 |
0.0398 |
9.1079 |
0.1098 |
16 |
2.9522 |
0.3387 |
27.8881 |
0.0359 |
9.4466 |
0.1059 |
17 |
3.1588 |
0.3166 |
30.8402 |
0.0324 |
9.7632 |
0.1024 |
18 |
3.3799 |
0.2959 |
33.9990 |
0.0294 |
10.0591 |
0.0994 |
19 |
3.6165 |
0.2765 |
37.3790 |
0.0268 |
10.3356 |
0.0968 |
20 |
3.8697 |
0.2584 |
40.9955 |
0.0244 |
10.5940 |
0.0944 |
21 |
4.1406 |
0.2415 |
44.8652 |
0.0223 |
10.8355 |
0.0923 |
22 |
4.4304 |
0.2257 |
49.0057 |
0.0204 |
11.0612 |
0.0904 |
23 |
4.7405 |
0.2109 |
53.4361 |
0.0187 |
11.2722 |
0.0887 |
24 |
5.0724 |
0.1971 |
58.1767 |
0.0172 |
11.4693 |
0.0872 |
25 |
5.4274 |
0.1842 |
63.2490 |
0.0158 |
11.6536 |
0.0858 |
26 |
5.8074 |
0.1722 |
68.6765 |
0.0146 |
11.8258 |
0.0846 |
27 |
6.2139 |
0.1609 |
74.4838 |
0.0134 |
11.9867 |
0.0834 |
28 |
6.6488 |
0.1504 |
80.6977 |
0.0124 |
12.1371 |
0.0824 |
29 |
7.1143 |
0.1406 |
87.3465 |
0.0114 |
12.2777 |
0.0814 |
30 |
7.6123 |
0.1314 |
94.4608 |
0.0106 |
12.4090 |
0.0806 |
31 |
8.1451 |
0.1228 |
102.0730 |
0.0098 |
12.5318 |
0.0798 |
32 |
8.7153 |
0.1147 |
110.2182 |
0.0091 |
12.6466 |
0.0791 |
33 |
9.3253 |
0.1072 |
118.9334 |
0.0084 |
12.7538 |
0.0784 |
34 |
9.9781 |
0.1002 |
128.2588 |
0.0078 |
12.8540 |
0.0778 |
35 |
10.6766 |
0.0937 |
138.2369 |
0.0072 |
12.9477 |
0.0772 |
8% Interest Factors for Annual Compounding
|
Single Payment |
Equal-Payment Series |
||||
n |
Future-Worth Factor |
Present-Worth Factor |
Future-Worth Factor |
Annual-Worth Factor |
Present-Worth Factor |
Annual-Worth Factor |
To Find F |
To Find P |
To Find F |
To Find A |
To Find P |
To Find A |
|
Given P |
Given F |
Given A |
Given F |
Given A |
Given P |
|
F/P,i,n |
P/F,i,n |
F/A,i,n |
A/F,i,n |
P/A,i,n |
A/P,i,n |
|
1 |
1.0800 |
0.9259 |
1.0000 |
1.0000 |
0.9259 |
1.0800 |
2 |
1.1664 |
0.8573 |
2.0800 |
0.4808 |
1.7833 |
0.5608 |
3 |
1.2597 |
0.7938 |
3.2464 |
0.3080 |
2.5771 |
0.3880 |
4 |
1.3605 |
0.7350 |
4.5061 |
0.2219 |
3.3121 |
0.3019 |
5 |
1.4693 |
0.6806 |
5.8666 |
0.1705 |
3.9927 |
0.2505 |
6 |
1.5869 |
0.6302 |
7.3359 |
0.1363 |
4.6229 |
0.2163 |
7 |
1.7138 |
0.5835 |
8.9228 |
0.1121 |
5.2064 |
0.1921 |
8 |
1.8509 |
0.5403 |
10.6366 |
0.0940 |
5.7466 |
0.1740 |
9 |
1.9990 |
0.5002 |
12.4876 |
0.0801 |
6.2469 |
0.1601 |
10 |
2.1589 |
0.4632 |
14.4866 |
0.0690 |
6.7101 |
0.1490 |
11 |
2.3316 |
0.4289 |
16.6455 |
0.0601 |
7.1390 |
0.1401 |
12 |
2.5182 |
0.3971 |
18.9771 |
0.0527 |
7.5361 |
0.1327 |
13 |
2.7196 |
0.3677 |
21.4953 |
0.0465 |
7.9038 |
0.1265 |
14 |
2.9372 |
0.3405 |
24.2149 |
0.0413 |
8.2442 |
0.1213 |
15 |
3.1722 |
0.3152 |
27.1521 |
0.0368 |
8.5595 |
0.1168 |
16 |
3.4259 |
0.2919 |
30.3243 |
0.0330 |
8.8514 |
0.1130 |
17 |
3.7000 |
0.2703 |
33.7502 |
0.0296 |
9.1216 |
0.1096 |
18 |
3.9960 |
0.2502 |
37.4502 |
0.0267 |
9.3719 |
0.1067 |
19 |
4.3157 |
0.2317 |
41.4463 |
0.0241 |
9.6036 |
0.1041 |
20 |
4.6610 |
0.2145 |
45.7620 |
0.0219 |
9.8181 |
0.1019 |
21 |
5.0338 |
0.1987 |
50.4229 |
0.0198 |
10.0168 |
0.0998 |
22 |
5.4365 |
0.1839 |
55.4568 |
0.0180 |
10.2007 |
0.0980 |
23 |
5.8715 |
0.1703 |
60.8933 |
0.0164 |
10.3711 |
0.0964 |
24 |
6.3412 |
0.1577 |
66.7648 |
0.0150 |
10.5288 |
0.0950 |
25 |
6.8485 |
0.1460 |
73.1059 |
0.0137 |
10.6748 |
0.0937 |
26 |
7.3964 |
0.1352 |
79.9544 |
0.0125 |
10.8100 |
0.0925 |
27 |
7.9881 |
0.1252 |
87.3508 |
0.0114 |
10.9352 |
0.0914 |
28 |
8.6271 |
0.1159 |
95.3388 |
0.0105 |
11.0511 |
0.0905 |
29 |
9.3173 |
0.1073 |
103.9659 |
0.0096 |
11.1584 |
0.0896 |
30 |
10.0627 |
0.0994 |
113.2832 |
0.0088 |
11.2578 |
0.0888 |
31 |
10.8677 |
0.0920 |
123.3459 |
0.0081 |
11.3498 |
0.0881 |
32 |
11.7371 |
0.0852 |
134.2135 |
0.0075 |
11.4350 |
0.0875 |
33 |
12.6760 |
0.0789 |
145.9506 |
0.0069 |
11.5139 |
0.0869 |
34 |
13.6901 |
0.0730 |
158.6267 |
0.0063 |
11.5869 |
0.0863 |
35 |
14.7853 |
0.0676 |
172.3168 |
0.0058 |
11.6546 |
0.0858 |
9% Interest Factors for Annual Compounding
|
Single Payment |
Equal-Payment Series |
||||
n |
Future-Worth Factor |
Present-Worth Factor |
Future-Worth Factor |
Annual-Worth Factor |
Present-Worth Factor |
Annual-Worth Factor |
To Find F |
To Find P |
To Find F |
To Find A |
To Find P |
To Find A |
|
Given P |
Given F |
Given A |
Given F |
Given A |
Given P |
|
F/P,i,n |
P/F,i,n |
F/A ,i,n |
A/F,i,n |
P/A,i,n |
A/P,i,n |
|
1 |
1.0900 |
0.9174 |
1.0000 |
1.0000 |
0.9174 |
1.0900 |
2 |
1.1881 |
0.8417 |
2.0900 |
0.4785 |
1.7591 |
0.5685 |
3 |
1.2950 |
0.7722 |
3.2781 |
0.3051 |
2.5313 |
0.3951 |
4 |
1.4116 |
0.7084 |
4.5731 |
0.2187 |
3.2397 |
0.3087 |
5 |
1.5386 |
0.6499 |
5.9847 |
0.1671 |
3.8897 |
0.2571 |
6 |
1.6771 |
0.5963 |
7.5233 |
0.1329 |
4.4859 |
0.2229 |
7 |
1.8280 |
0.5470 |
9.2004 |
0.1087 |
5.0330 |
0.1987 |
8 |
1.9926 |
0.5019 |
11.0285 |
0.0907 |
5.5348 |
0.1807 |
9 |
2.1719 |
0.4604 |
13.0210 |
0.0768 |
5.9952 |
0.1668 |
10 |
2.3674 |
0.4224 |
15.1929 |
0.0658 |
6.4177 |
0.1558 |
11 |
2.5804 |
0.3875 |
17.5603 |
0.0569 |
6.8052 |
0.1469 |
12 |
2.8127 |
0.3555 |
20.1407 |
0.0497 |
7.1607 |
0.1397 |
13 |
3.0658 |
0.3262 |
22.9534 |
0.0436 |
7.4869 |
0.1336 |
14 |
3.3417 |
0.2992 |
26.0192 |
0.0384 |
7.7862 |
0.1284 |
15 |
3.6425 |
0.2745 |
29.3609 |
0.0341 |
8.0607 |
0.1241 |
16 |
3.9703 |
0.2519 |
33.0034 |
0.0303 |
8.3126 |
0.1203 |
17 |
4.3276 |
0.2311 |
36.9737 |
0.0270 |
8.5436 |
0.1170 |
18 |
4.7171 |
0.2120 |
41.3013 |
0.0242 |
8.7556 |
0.1142 |
19 |
5.1417 |
0.1945 |
46.0185 |
0.0217 |
8.9501 |
0.1117 |
20 |
5.6044 |
0.1784 |
51.1601 |
0.0195 |
9.1285 |
0.1095 |
21 |
6.1088 |
0.1637 |
56.7645 |
0.0176 |
9.2922 |
0.1076 |
22 |
6.6586 |
0.1502 |
62.8733 |
0.0159 |
9.4424 |
0.1059 |
23 |
7.2579 |
0.1378 |
69.5319 |
0.0144 |
9.5802 |
0.1044 |
24 |
7.9111 |
0.1264 |
76.7898 |
0.0130 |
9.7066 |
0.1030 |
25 |
8.6231 |
0.1160 |
84.7009 |
0.0118 |
9.8226 |
0.1018 |
26 |
9.3992 |
0.1064 |
93.3240 |
0.0107 |
9.9290 |
0.1007 |
27 |
10.2451 |
0.0976 |
102.7231 |
0.0097 |
10.0266 |
0.0997 |
28 |
11.1671 |
0.0895 |
112.9682 |
0.0089 |
10.1161 |
0.0989 |
29 |
12.1722 |
0.0822 |
124.1354 |
0.0081 |
10.1983 |
0.0981 |
30 |
13.2677 |
0.0754 |
136.3075 |
0.0073 |
10.2737 |
0.0973 |
31 |
14.4618 |
0.0691 |
149.5752 |
0.0067 |
10.3428 |
0.0967 |
32 |
15.7633 |
0.0634 |
164.0370 |
0.0061 |
10.4062 |
0.0961 |
33 |
17.1820 |
0.0582 |
179.8003 |
0.0056 |
10.4644 |
0.0956 |
34 |
18.7284 |
0.0534 |
196.9823 |
0.0051 |
10.5178 |
0.0951 |
35 |
20.4140 |
0.0490 |
215.7108 |
0.0046 |
10.5668 |
0.0946 |
10% Interest Factors for Annual Compounding
|
Single Payment |
Equal-Payment Series |
||||
n |
Future-Worth Factor |
Present-Worth Factor |
Future-Worth Factor |
Annual-Worth Factor |
Present-Worth Factor |
Annual-Worth Factor |
To Find F |
To Find P |
To Find F |
To Find A |
To Find P |
To Find A |
|
Given P |
Given F |
Given A |
Given F |
Given A |
Given P |
|
F/P,i,n |
P/F, i,n |
F/A,i,n |
A/F,i,,n |
P/A,i,n |
A/P, i,n |
|
1 |
1.1000 |
0.9091 |
1.0000 |
1.0000 |
0.9091 |
1.1000 |
2 |
1.2100 |
0.8264 |
2.1000 |
0.4762 |
1.7355 |
0.5762 |
3 |
1.3310 |
0.7513 |
3.3100 |
0.3021 |
2.4869 |
0.4021 |
4 |
1.4641 |
0.6830 |
4.6410 |
0.2155 |
3.1699 |
0.3155 |
5 |
1.6105 |
0.6209 |
6.1051 |
0.1638 |
3.7908 |
0.2638 |
6 |
1.7716 |
0.5645 |
7.7156 |
0.1296 |
4.3553 |
0.2296 |
7 |
1.9487 |
0.5132 |
9.4872 |
0.1054 |
4.8684 |
0.2054 |
8 |
2.1436 |
0.4665 |
11.4359 |
0.0874 |
5.3349 |
0.1874 |
9 |
2.3579 |
0.4241 |
13.5795 |
0.0736 |
5.7590 |
0.1736 |
10 |
2.5937 |
0.3855 |
15.9374 |
0.0627 |
6.1446 |
0.1627 |
11 |
2.8531 |
0.3505 |
18.5312 |
0.0540 |
6.4951 |
0.1540 |
12 |
3.1384 |
0.3186 |
21.3843 |
0.0468 |
6.8137 |
0.1468 |
13 |
3.4523 |
0.2897 |
24.5227 |
0.0408 |
7.1034 |
0.1408 |
14 |
3.7975 |
0.2633 |
27.9750 |
0.0357 |
7.3667 |
0.1357 |
15 |
4.1772 |
0.2394 |
31.7725 |
0.0315 |
7.6061 |
0.1315 |
16 |
4.5950 |
0.2176 |
35.9497 |
0.0278 |
7.8237 |
0.1278 |
17 |
5.0545 |
0.1978 |
40.5447 |
0.0247 |
8.0216 |
0.1247 |
18 |
5.5599 |
0.1799 |
45.5992 |
0.0219 |
8.2014 |
0.1219 |
19 |
6.1159 |
0.1635 |
51.1591 |
0.0195 |
8.3649 |
0.1195 |
20 |
6.7275 |
0.1486 |
57.2750 |
0.0175 |
8.5136 |
0.1175 |
21 |
7.4002 |
0.1351 |
64.0025 |
0.0156 |
8.6487 |
0.1156 |
22 |
8.1403 |
0.1228 |
71.4027 |
0.0140 |
8.7715 |
0.1140 |
23 |
8.9543 |
0.1117 |
79.5430 |
0.0126 |
8.8832 |
0.1126 |
24 |
9.8497 |
0.1015 |
88.4973 |
0.0113 |
8.9847 |
0.1113 |
25 |
10.8347 |
0.0923 |
98.3471 |
0.0102 |
9.0770 |
0.1102 |
26 |
11.9182 |
0.0839 |
109.1818 |
0.0092 |
9.1609 |
0.1092 |
27 |
13.1100 |
0.0763 |
121.0999 |
0.0083 |
9.2372 |
0.1083 |
28 |
14.4210 |
0.0693 |
134.2099 |
0.0075 |
9.3066 |
0.1075 |
29 |
15.8631 |
0.0630 |
148.6309 |
0.0067 |
9.3696 |
0.1067 |
30 |
17.4494 |
0.0573 |
164.4940 |
0.0061 |
9.4269 |
0.1061 |
31 |
19.1943 |
0.0521 |
181.9434 |
0.0055 |
9.4790 |
0.1055 |
32 |
21.1138 |
0.0474 |
201.1378 |
0.0050 |
9.5264 |
0.1050 |
33 |
23.2252 |
0.0431 |
222.2515 |
0.0045 |
9.5694 |
0.1045 |
34 |
25.5477 |
0.0391 |
245.4767 |
0.0041 |
9.6086 |
0.1041 |
35 |
28.1024 |
0.0356 |
271.0244 |
0.0037 |
9.6442 |
0.1037 |
12% Interest Factors for Annual Compounding
|
Single Payment |
Equal-Payment Series |
||||
n |
Future-Worth Factor |
Present-Worth Factor |
Future-Worth Factor |
Annual-Worth Factor |
Present-Worth Factor |
Annual-Worth Factor |
To Find F |
To Find P |
To Find F |
To Find A |
To Find P |
To Find A |
|
Given P |
Given F |
Given A |
Given F |
Given A |
Given P |
|
F/P,i ,n |
P/F,i,n |
F/A,i,n |
A/F,i,n |
P/A,i ,n |
A/P,i,n |
|
1 |
1.1200 |
0.8929 |
1.0000 |
1.0000 |
0.8929 |
1.1200 |
2 |
1.2544 |
0.7972 |
2.1200 |
0.4717 |
1.6901 |
0.5917 |
3 |
1.4049 |
0.7118 |
3.3744 |
0.2963 |
2.4018 |
0.4163 |
4 |
1.5735 |
0.6355 |
4.7793 |
0.2092 |
3.0373 |
0.3292 |
5 |
1.7623 |
0.5674 |
6.3528 |
0.1574 |
3.6048 |
0.2774 |
6 |
1.9738 |
0.5066 |
8.1152 |
0.1232 |
4.1114 |
0.2432 |
7 |
2.2107 |
0.4523 |
10.0890 |
0.0991 |
4.5638 |
0.2191 |
8 |
2.4760 |
0.4039 |
12.2997 |
0.0813 |
4.9676 |
0.2013 |
9 |
2.7731 |
0.3606 |
14.7757 |
0.0677 |
5.3282 |
0.1877 |
10 |
3.1058 |
0.3220 |
17.5487 |
0.0570 |
5.6502 |
0.1770 |
11 |
3.4785 |
0.2875 |
20.6546 |
0.0484 |
5.9377 |
0.1684 |
12 |
3.8960 |
0.2567 |
24.1331 |
0.0414 |
6.1944 |
0.1614 |
13 |
4.3635 |
0.2292 |
28.0291 |
0.0357 |
6.4235 |
0.1557 |
14 |
4.8871 |
0.2046 |
32.3926 |
0.0309 |
6.6282 |
0.1509 |
15 |
5.4736 |
0.1827 |
37.2797 |
0.0268 |
6.8109 |
0.1468 |
16 |
6.1304 |
0.1631 |
42.7533 |
0.0234 |
6.9740 |
0.1434 |
17 |
6.8660 |
0.1456 |
48.8837 |
0.0205 |
7.1196 |
0.1405 |
18 |
7.6900 |
0.1300 |
55.7497 |
0.0179 |
7.2497 |
0.1379 |
19 |
8.6128 |
0.1161 |
63.4397 |
0.0158 |
7.3658 |
0.1358 |
20 |
9.6463 |
0.1037 |
72.0524 |
0.0139 |
7.4694 |
0.1339 |
21 |
10.8038 |
0.0926 |
81.6987 |
0.0122 |
7.5620 |
0.1322 |
22 |
12.1003 |
0.0826 |
92.5026 |
0.0108 |
7.6446 |
0.1308 |
23 |
13.5523 |
0.0738 |
104.6029 |
0.0096 |
7.7184 |
0.1296 |
24 |
15.1786 |
0.0659 |
118.1552 |
0.0085 |
7.7843 |
0.1285 |
25 |
17.0001 |
0.0588 |
133.3339 |
0.0075 |
7.8431 |
0.1275 |
26 |
19.0401 |
0.0525 |
150.3339 |
0.0067 |
7.8957 |
0.1267 |
27 |
21.3249 |
0.0469 |
169.3740 |
0.0059 |
7.9426 |
0.1259 |
28 |
23.8839 |
0.0419 |
190.6989 |
0.0052 |
7.9844 |
0.1252 |
29 |
26.7499 |
0.0374 |
214.5828 |
0.0047 |
8.0218 |
0.1247 |
30 |
29.9599 |
0.0334 |
241.3327 |
0.0041 |
8.0552 |
0.1241 |
31 |
33.5551 |
0.0298 |
271.2926 |
0.0037 |
8.0850 |
0.1237 |
32 |
37.5817 |
0.0266 |
304.8477 |
0.0033 |
8.1116 |
0.1233 |
33 |
42.0915 |
0.0238 |
342.4294 |
0.0029 |
8.1354 |
0.1229 |
34 |
47.1425 |
0.0212 |
384.5210 |
0.0026 |
8.1566 |
0.1226 |
35 |
52.7996 |
0.0189 |
431.6635 |
0.0023 |
8.1755 |
0.1223 |
15% Interest Factors for Annual Compounding
|
Single Payment |
Equal-Payment Series |
||||
n |
Future-Worth Factor |
Present-Worth Factor |
Future-Worth Factor |
Annual-Worth Factor |
Present-Worth Factor |
Annual-Worth Factor |
To Find F |
To Find P |
To Find F |
To Find A |
To Find P |
To Find A |
|
Given P |
Given F |
Given A |
Given F |
Given A |
Given P |
|
F/P,i,n |
P/F,i,n |
F/A,i,n |
A/F,i, n |
P/A,i,n |
A/P,i,n |
|
1 |
1.1500 |
0.8696 |
1.0000 |
1.0000 |
0.8696 |
1.1500 |
2 |
1.3225 |
0.7561 |
2.1500 |
0.4651 |
1.6257 |
0.6151 |
3 |
1.5209 |
0.6575 |
3.4725 |
0.2880 |
2.2832 |
0.4380 |
4 |
1.7490 |
0.5718 |
4.9934 |
0.2003 |
2.8550 |
0.3503 |
5 |
2.0114 |
0.4972 |
6.7424 |
0.1483 |
3.3522 |
0.2983 |
6 |
2.3131 |
0.4323 |
8.7537 |
0.1142 |
3.7845 |
0.2642 |
7 |
2.6600 |
0.3759 |
11.0668 |
0.0904 |
4.1604 |
0.2404 |
8 |
3.0590 |
0.3269 |
13.7268 |
0.0729 |
4.4873 |
0.2229 |
9 |
3.5179 |
0.2843 |
16.7858 |
0.0596 |
4.7716 |
0.2096 |
10 |
4.0456 |
0.2472 |
20.3037 |
0.0493 |
5.0188 |
0.1993 |
11 |
4.6524 |
0.2149 |
24.3493 |
0.0411 |
5.2337 |
0.1911 |
12 |
5.3503 |
0.1869 |
29.0017 |
0.0345 |
5.4206 |
0.1845 |
13 |
6.1528 |
0.1625 |
34.3519 |
0.0291 |
5.5831 |
0.1791 |
14 |
7.0757 |
0.1413 |
40.5047 |
0.0247 |
5.7245 |
0.1747 |
15 |
8.1371 |
0.1229 |
47.5804 |
0.0210 |
5.8474 |
0.1710 |
16 |
9.3576 |
0.1069 |
55.7175 |
0.0179 |
5.9542 |
0.1679 |
17 |
10.7613 |
0.0929 |
65.0751 |
0.0154 |
6.0472 |
0.1654 |
18 |
12.3755 |
0.0808 |
75.8364 |
0.0132 |
6.1280 |
0.1632 |
19 |
14.2318 |
0.0703 |
88.2118 |
0.0113 |
6.1982 |
0.1613 |
20 |
16.3665 |
0.0611 |
102.4436 |
0.0098 |
6.2593 |
0.1598 |
21 |
18.8215 |
0.0531 |
118.8101 |
0.0084 |
6.3125 |
0.1584 |
22 |
21.6447 |
0.0462 |
137.6316 |
0.0073 |
6.3587 |
0.1573 |
23 |
24.8915 |
0.0402 |
159.2764 |
0.0063 |
6.3988 |
0.1563 |
24 |
28.6252 |
0.0349 |
184.1678 |
0.0054 |
6.4338 |
0.1554 |
25 |
32.9190 |
0.0304 |
212.7930 |
0.0047 |
6.4641 |
0.1547 |
26 |
37.8568 |
0.0264 |
245.7120 |
0.0041 |
6.4906 |
0.1541 |
27 |
43.5353 |
0.0230 |
283.5688 |
0.0035 |
6.5135 |
0.1535 |
28 |
50.0656 |
0.0200 |
327.1041 |
0.0031 |
6.5335 |
0.1531 |
29 |
57.5755 |
0.0174 |
377.1697 |
0.0027 |
6.5509 |
0.1527 |
30 |
66.2118 |
0.0151 |
434.7451 |
0.0023 |
6.5660 |
0.1523 |
31 |
76.1435 |
0.0131 |
500.9569 |
0.0020 |
6.5791 |
0.1520 |
32 |
87.5651 |
0.0114 |
577.1005 |
0.0017 |
6.5905 |
0.1517 |
33 |
100.6998 |
0.0099 |
664.6655 |
0.0015 |
6.6005 |
0.1515 |
34 |
115.8048 |
0.0086 |
765.3654 |
0.0013 |
6.6091 |
0.1513 |
35 |
133.1755 |
0.0075 |
881.1702 |
0.0011 |
6.6166 |
0.1511 |
20% Interest Factors for Annual Compounding
|
Single Payment |
Equal-Payment Series |
||||
n |
Future-Worth Factor |
Present-Worth Factor |
Future-Worth Factor |
Annual-Worth Factor |
Present-Worth Factor |
Annual-Worth Factor |
To Find F |
To Find P |
To Find F |
To Find A |
To Find P |
To Find A |
|
Given P |
Given F |
Given A |
Given F |
Given A |
Given P |
|
F/P,i,n |
P/F,i,n |
F/A,i,n |
A/F,i,n |
P/A,i,n |
A/P,i,n |
|
1 |
1.2000 |
0.8333 |
1.0000 |
1.0000 |
0.8333 |
1.2000 |
2 |
1.4400 |
0.6944 |
2.2000 |
0.4545 |
1.5278 |
0.6545 |
3 |
1.7280 |
0.5787 |
3.6400 |
0.2747 |
2.1065 |
0.4747 |
4 |
2.0736 |
0.4823 |
5.3680 |
0.1863 |
2.5887 |
0.3863 |
5 |
2.4883 |
0.4019 |
7.4416 |
0.1344 |
2.9906 |
0.3344 |
6 |
2.9860 |
0.3349 |
9.9299 |
0.1007 |
3.3255 |
0.3007 |
7 |
3.5832 |
0.2791 |
12.9159 |
0.0774 |
3.6046 |
0.2774 |
8 |
4.2998 |
0.2326 |
16.4991 |
0.0606 |
3.8372 |
0.2606 |
9 |
5.1598 |
0.1938 |
20.7989 |
0.0481 |
4.0310 |
0.2481 |
10 |
6.1917 |
0.1615 |
25.9587 |
0.0385 |
4.1925 |
0.2385 |
11 |
7.4301 |
0.1346 |
32.1504 |
0.0311 |
4.3271 |
0.2311 |
12 |
8.9161 |
0.1122 |
39.5805 |
0.0253 |
4.4392 |
0.2253 |
13 |
10.6993 |
0.0935 |
48.4966 |
0.0206 |
4.5327 |
0.2206 |
14 |
12.8392 |
0.0779 |
59.1959 |
0.0169 |
4.6106 |
0.2169 |
15 |
15.4070 |
0.0649 |
72.0351 |
0.0139 |
4.6755 |
0.2139 |
16 |
18.4884 |
0.0541 |
87.4421 |
0.0114 |
4.7296 |
0.2114 |
17 |
22.1861 |
0.0451 |
105.9306 |
0.0094 |
4.7746 |
0.2094 |
18 |
26.6233 |
0.0376 |
128.1167 |
0.0078 |
4.8122 |
0.2078 |
19 |
31.9480 |
0.0313 |
154.7400 |
0.0065 |
4.8435 |
0.2065 |
20 |
38.3376 |
0.0261 |
186.6880 |
0.0054 |
4.8696 |
0.2054 |
21 |
46.0051 |
0.0217 |
225.0256 |
0.0044 |
4.8913 |
0.2044 |
22 |
55.2061 |
0.0181 |
271.0307 |
0.0037 |
4.9094 |
0.2037 |
23 |
66.2474 |
0.0151 |
326.2369 |
0.0031 |
4.9245 |
0.2031 |
24 |
79.4968 |
0.0126 |
392.4842 |
0.0025 |
4.9371 |
0.2025 |
25 |
95.3962 |
0.0105 |
471.9811 |
0.0021 |
4.9476 |
0.2021 |
26 |
114.4755 |
0.0087 |
567.3773 |
0.0018 |
4.9563 |
0.2018 |
27 |
137.3706 |
0.0073 |
681.8528 |
0.0015 |
4.9636 |
0.2015 |
28 |
164.8447 |
0.0061 |
819.2233 |
0.0012 |
4.9697 |
0.2012 |
29 |
197.8136 |
0.0051 |
984.0680 |
0.0010 |
4.9747 |
0.2010 |
30 |
237.3763 |
0.0042 |
1181.8816 |
0.0008 |
4.9789 |
0.2008 |
31 |
284.8516 |
0.0035 |
1419.2579 |
0.0007 |
4.9824 |
0.2007 |
32 |
341.8219 |
0.0029 |
1704.1095 |
0.0006 |
4.9854 |
0.2006 |
33 |
410.1863 |
0.0024 |
2045.9314 |
0.0005 |
4.9878 |
0.2005 |
34 |
492.2235 |
0.0020 |
2456.1176 |
0.0004 |
4.9898 |
0.2004 |
35 |
590.6682 |
0.0017 |
2948.3411 |
0.0003 |
4.9915 |
0.2003 |
5% Interest Factors for Annual Compounding
|
Single Payment |
Equal-Payment Series |
||||
n |
Future-Worth Factor |
Present Worth Factor |
Future-Worth Factor |
Annual-Worth Factor |
Present-Worth Factor |
Annual-Worth Factor |
To Find F |
To Find P |
To Find F |
To Find A |
To Find P |
To Find A |
|
Given P |
Given F |
Given A |
Given F |
Given A |
Given P |
|
F/P,i,n |
P/F, i,n |
F/A,i,n |
A/F,i,n |
P/A,i,n |
A/P, i,n |
|
1 |
1.0500 |
0.9524 |
1.0000 |
1.0000 |
0.9524 |
1.0500 |
2 |
1.1025 |
0.9070 |
2.0500 |
0.4878 |
1.8594 |
0.5378 |
3 |
1.1576 |
0.8638 |
3.1525 |
0.3172 |
2.7232 |
0.3672 |
4 |
1.2155 |
0.8227 |
4.3101 |
0.2320 |
3.5460 |
0.2820 |
5 |
1.2763 |
0.7835 |
5.5256 |
0.1810 |
4.3295 |
0.2310 |
6 |
1.3401 |
0.7462 |
6.8019 |
0.1470 |
5.0757 |
0.1970 |
7 |
1.4071 |
0.7107 |
8.1420 |
0.1228 |
5.7864 |
0.1728 |
8 |
1.4775 |
0.6768 |
9.5491 |
0.1047 |
6.4632 |
0.1547 |
9 |
1.5513 |
0.6446 |
11.0266 |
0.0907 |
7.1078 |
0.1407 |
10 |
1.6289 |
0.6139 |
12.5779 |
0.0795 |
7.7217 |
0.1295 |
11 |
1.7103 |
0.5847 |
14.2068 |
0.0704 |
8.3064 |
0.1204 |
12 |
1.7959 |
0.5568 |
15.9171 |
0.0628 |
8.8633 |
0.1128 |
13 |
1.8856 |
0.5303 |
17.7130 |
0.0565 |
9.3936 |
0.1065 |
14 |
1.9799 |
0.5051 |
19.5986 |
0.0510 |
9.8986 |
0.1010 |
15 |
2.0789 |
0.4810 |
21.5786 |
0.0463 |
10.3797 |
0.0963 |
16 |
2.1829 |
0.4581 |
23.6575 |
0.0423 |
10.8378 |
0.0923 |
17 |
2.2920 |
0.4363 |
25.8404 |
0.0387 |
11.2741 |
0.0887 |
18 |
2.4066 |
0.4155 |
28.1324 |
0.0355 |
11.6896 |
0.0855 |
19 |
2.5270 |
0.3957 |
30.5390 |
0.0327 |
12.0853 |
0.0827 |
20 |
2.6533 |
0.3769 |
33.0660 |
0.0302 |
12.4622 |
0.0802 |
21 |
2.7860 |
0.3589 |
35.7193 |
0.0280 |
12.8212 |
0.0780 |
22 |
2.9253 |
0.3418 |
38.5052 |
0.0260 |
13.1630 |
0.0760 |
23 |
3.0715 |
0.3256 |
41.4305 |
0.0241 |
13.4886 |
0.0741 |
24 |
3.2251 |
0.3101 |
44.5020 |
0.0225 |
13.7986 |
0.0725 |
25 |
3.3864 |
0.2953 |
47.7271 |
0.0210 |
14.0939 |
0.0710 |
26 |
3.5557 |
0.2812 |
51.1135 |
0.0196 |
14.3752 |
0.0696 |
27 |
3.7335 |
0.2678 |
54.6691 |
0.0183 |
14.6430 |
0.0683 |
28 |
3.9201 |
0.2551 |
58.4026 |
0.0171 |
14.8981 |
0.0671 |
29 |
4.1161 |
0.2429 |
62.3227 |
0.0160 |
15.1411 |
0.0660 |
30 |
4.3219 |
0.2314 |
66.4388 |
0.0151 |
15.3725 |
0.0651 |
31 |
4.5380 |
0.2204 |
70.7608 |
0.0141 |
15.5928 |
0.0641 |
32 |
4.7649 |
0.2099 |
75.2988 |
0.0133 |
15.8027 |
0.0633 |
33 |
5.0032 |
0.1999 |
80.0638 |
0.0125 |
16.0025 |
0.0625 |
34 |
5.2533 |
0.1904 |
85.0670 |
0.0118 |
16.1929 |
0.0618 |
35 |
5.5160 |
0.1813 |
90.3203 |
0.0111 |
16.3742 |
0.0611 |
6% Interest Factors for Annual Compounding
|
Single Payment |
Equal-Payment Series |
||||
n |
Future-Worth Factor |
Present-Worth Factor |
Future-Worth Factor |
Annual-Worth Factor |
Present-Worth Factor |
Annual-Worth Factor |
To Find F |
To Find P |
To Find F |
To Find A |
To Find P |
To Find A |
|
Given P |
Given F |
Given A |
Given F |
Given A |
Given P |
|
F/P,i ,n |
P/F,i,n |
F/A,i,n |
A/F,i,n |
P/A,i ,n |
A/P,i,n |
|
1 |
1.0600 |
0.9434 |
1.0000 |
1.0000 |
0.9434 |
1.0600 |
2 |
1.1236 |
0.8900 |
2.0600 |
0.4854 |
1.8334 |
0.5454 |
3 |
1.1910 |
0.8396 |
3.1836 |
0.3141 |
2.6730 |
0.3741 |
4 |
1.2625 |
0.7921 |
4.3746 |
0.2286 |
3.4651 |
0.2886 |
5 |
1.3382 |
0.7473 |
5.6371 |
0.1774 |
4.2124 |
0.2374 |
6 |
1.4185 |
0.7050 |
6.9753 |
0.1434 |
4.9173 |
0.2034 |
7 |
1.5036 |
0.6651 |
8.3938 |
0.1191 |
5.5824 |
0.1791 |
8 |
1.5938 |
0.6274 |
9.8975 |
0.1010 |
6.2098 |
0.1610 |
9 |
1.6895 |
0.5919 |
11.4913 |
0.0870 |
6.8017 |
0.1470 |
10 |
1.7908 |
0.5584 |
13.1808 |
0.0759 |
7.3601 |
0.1359 |
11 |
1.8983 |
0.5268 |
14.9716 |
0.0668 |
7.8869 |
0.1268 |
12 |
2.0122 |
0.4970 |
16.8699 |
0.0593 |
8.3838 |
0.1193 |
13 |
2.1329 |
0.4688 |
18.8821 |
0.0530 |
8.8527 |
0.1130 |
14 |
2.2609 |
0.4423 |
21.0151 |
0.0476 |
9.2950 |
0.1076 |
15 |
2.3966 |
0.4173 |
23.2760 |
0.0430 |
9.7122 |
0.1030 |
16 |
2.5404 |
0.3936 |
25.6725 |
0.0390 |
10.1059 |
0.0990 |
17 |
2.6928 |
0.3714 |
28.2129 |
0.0354 |
10.4773 |
0.0954 |
18 |
2.8543 |
0.3503 |
30.9057 |
0.0324 |
10.8276 |
0.0924 |
19 |
3.0256 |
0.3305 |
33.7600 |
0.0296 |
11.1581 |
0.0896 |
20 |
3.2071 |
0.3118 |
36.7856 |
0.0272 |
11.4699 |
0.0872 |
21 |
3.3996 |
0.2942 |
39.9927 |
0.0250 |
11.7641 |
0.0850 |
22 |
3.6035 |
0.2775 |
43.3923 |
0.0230 |
12.0416 |
0.0830 |
23 |
3.8197 |
0.2618 |
46.9958 |
0.0213 |
12.3034 |
0.0813 |
24 |
4.0489 |
0.2470 |
50.8156 |
0.0197 |
12.5504 |
0.0797 |
25 |
4.2919 |
0.2330 |
54.8645 |
0.0182 |
12.7834 |
0.0782 |
26 |
4.5494 |
0.2198 |
59.1564 |
0.0169 |
13.0032 |
0.0769 |
27 |
4.8223 |
0.2074 |
63.7058 |
0.0157 |
13.2105 |
0.0757 |
28 |
5.1117 |
0.1956 |
68.5281 |
0.0146 |
13.4062 |
0.0746 |
29 |
5.4184 |
0.1846 |
73.6398 |
0.0136 |
13.5907 |
0.0736 |
30 |
5.7435 |
0.1741 |
79.0582 |
0.0126 |
13.7648 |
0.0726 |
31 |
6.0881 |
0.1643 |
84.8017 |
0.0118 |
13.9291 |
0.0718 |
32 |
6.4534 |
0.1550 |
90.8898 |
0.0110 |
14.0840 |
0.0710 |
33 |
6.8406 |
0.1462 |
97.3432 |
0.0103 |
14.2302 |
0.0703 |
34 |
7.2510 |
0.1379 |
104.1838 |
0.0096 |
14.3681 |
0.0696 |
35 |
7.6861 |
0.1301 |
111.4348 |
0.0090 |
14.4982 |
0.0690 |
30% Interest Factors for Annual Compounding
|
Single Payment |
Equal-Payment Series |
||||
n |
Future-Worth Factor |
Present-Worth Factor |
Future-Worth Factor |
Annual-Worth Factor |
Present-Worth Factor |
Annual-Worth Factor |
To Find F |
To Find P |
To Find F |
To Find A |
To Find P |
To Find A |
|
Given P |
Given F |
Given A |
Given F |
Given A |
Given P |
|
F/P,i,n |
P/F, i,n |
F/A,i,n |
A/F,i,n |
P/A,i,n |
A/P, i,n |
|
1 |
1.3000 |
0.7692 |
1.0000 |
1.0000 |
0.7692 |
1.3000 |
2 |
1.6900 |
0.5917 |
2.3000 |
0.4348 |
1.3609 |
0.7348 |
3 |
2.1970 |
0.4552 |
3.9900 |
0.2506 |
1.8161 |
0.5506 |
4 |
2.8561 |
0.3501 |
6.1870 |
0.1616 |
2.1662 |
0.4616 |
5 |
3.7129 |
0.2693 |
9.0431 |
0.1106 |
2.4356 |
0.4106 |
6 |
4.8268 |
0.2072 |
12.7560 |
0.0784 |
2.6427 |
0.3784 |
7 |
6.2749 |
0.1594 |
17.5828 |
0.0569 |
2.8021 |
0.3569 |
8 |
8.1573 |
0.1226 |
23.8577 |
0.0419 |
2.9247 |
0.3419 |
9 |
10.6045 |
0.0943 |
32.0150 |
0.0312 |
3.0190 |
0.3312 |
10 |
13.7858 |
0.0725 |
42.6195 |
0.0235 |
3.0915 |
0.3235 |
11 |
17.9216 |
0.0558 |
56.4053 |
0.0177 |
3.1473 |
0.3177 |
12 |
23.2981 |
0.0429 |
74.3270 |
0.0135 |
3.1903 |
0.3135 |
13 |
30.2875 |
0.0330 |
97.6250 |
0.0102 |
3.2233 |
0.3102 |
14 |
39.3738 |
0.0254 |
127.9125 |
0.0078 |
3.2487 |
0.3078 |
15 |
51.1859 |
0.0195 |
167.2863 |
0.0060 |
3.2682 |
0.3060 |
16 |
66.5417 |
0.0150 |
218.4722 |
0.0046 |
3.2832 |
0.3046 |
17 |
86.5042 |
0.0116 |
285.0139 |
0.0035 |
3.2948 |
0.3035 |
18 |
112.4554 |
0.0089 |
371.5180 |
0.0027 |
3.3037 |
0.3027 |
19 |
146.1920 |
0.0068 |
483.9734 |
0.0021 |
3.3105 |
0.3021 |
20 |
190.0496 |
0.0053 |
630.1655 |
0.0016 |
3.3158 |
0.3016 |
21 |
247.0645 |
0.0040 |
820.2151 |
0.0012 |
3.3198 |
0.3012 |
22 |
321.1839 |
0.0031 |
1067.2796 |
0.0009 |
3.3230 |
0.3009 |
23 |
417.5391 |
0.0024 |
1388.4635 |
0.0007 |
3.3254 |
0.3007 |
24 |
542.8008 |
0.0018 |
1806.0026 |
0.0006 |
3.3272 |
0.3006 |
25 |
705.6410 |
0.0014 |
2348.8033 |
0.0004 |
3.3286 |
0.3004 |
26 |
917.3333 |
0.0011 |
3054.4443 |
0.0003 |
3.3297 |
0.3003 |
27 |
1192.5333 |
0.0008 |
3971.7776 |
0.0003 |
3.3305 |
0.3003 |
28 |
1550.2933 |
0.0006 |
5164.3109 |
0.0002 |
3.3312 |
0.3002 |
29 |
2015.3813 |
0.0005 |
6714.6042 |
0.0001 |
3.3317 |
0.3001 |
30 |
2619.9956 |
0.0004 |
8729.9855 |
0.0001 |
3.3321 |
0.3001 |
31 |
3405.9943 |
0.0003 |
11349.9811 |
0.0001 |
3.3324 |
0.3001 |
32 |
4427.7926 |
0.0002 |
14755.9755 |
0.0001 |
3.3326 |
0.3001 |
33 |
5756.1304 |
0.0002 |
19183.7681 |
0.0001 |
3.3328 |
0.3001 |
34 |
7482.9696 |
0.0001 |
24939.8985 |
0.0000 |
3.3329 |
0.3000 |
35 |
9727.8604 |
0.0001 |
32422.8681 |
0.0000 |
3.3330 |
0.3000 |
25% Interest Factors for Annual Compounding
|
Single Payment |
Equal-Payment Series |
||||
n |
Future-Worth Factor |
Present-Worth Factor |
Future-Worth Factor |
Annual-Worth Factor |
Present-Worth Factor |
Annual-Worth Factor |
To Find F |
To Find P |
To Find F |
To Find A |
To Find P |
To Find A |
|
Given P |
Given F |
Given A |
Given F |
Given A |
Given P |
|
F/P,i,n |
P/F,i,n |
F/A ,i,n |
A/F,i,n |
P/A,i,n |
A/P,i,n |
|
1 |
1.2500 |
0.8000 |
1.0000 |
1.0000 |
0.8000 |
1.2500 |
2 |
1.5625 |
0.6400 |
2.2500 |
0.4444 |
1.4400 |
0.6944 |
3 |
1.9531 |
0.5120 |
3.8125 |
0.2623 |
1.9520 |
0.5123 |
4 |
2.4414 |
0.4096 |
5.7656 |
0.1734 |
2.3616 |
0.4234 |
5 |
3.0518 |
0.3277 |
8.2070 |
0.1218 |
2.6893 |
0.3718 |
6 |
3.8147 |
0.2621 |
11.2588 |
0.0888 |
2.9514 |
0.3388 |
7 |
4.7684 |
0.2097 |
15.0735 |
0.0663 |
3.1611 |
0.3163 |
8 |
5.9605 |
0.1678 |
19.8419 |
0.0504 |
3.3289 |
0.3004 |
9 |
7.4506 |
0.1342 |
25.8023 |
0.0388 |
3.4631 |
0.2888 |
10 |
9.3132 |
0.1074 |
33.2529 |
0.0301 |
3.5705 |
0.2801 |
11 |
11.6415 |
0.0859 |
42.5661 |
0.0235 |
3.6564 |
0.2735 |
12 |
14.5519 |
0.0687 |
54.2077 |
0.0184 |
3.7251 |
0.2684 |
13 |
18.1899 |
0.0550 |
68.7596 |
0.0145 |
3.7801 |
0.2645 |
14 |
22.7374 |
0.0440 |
86.9495 |
0.0115 |
3.8241 |
0.2615 |
15 |
28.4217 |
0.0352 |
109.6868 |
0.0091 |
3.8593 |
0.2591 |
16 |
35.5271 |
0.0281 |
138.1085 |
0.0072 |
3.8874 |
0.2572 |
17 |
44.4089 |
0.0225 |
173.6357 |
0.0058 |
3.9099 |
0.2558 |
18 |
55.5112 |
0.0180 |
218.0446 |
0.0046 |
3.9279 |
0.2546 |
19 |
69.3889 |
0.0144 |
273.5558 |
0.0037 |
3.9424 |
0.2537 |
20 |
86.7362 |
0.0115 |
342.9447 |
0.0029 |
3.9539 |
0.2529 |
21 |
108.4202 |
0.0092 |
429.6809 |
0.0023 |
3.9631 |
0.2523 |
22 |
135.5253 |
0.0074 |
538.1011 |
0.0019 |
3.9705 |
0.2519 |
23 |
169.4066 |
0.0059 |
673.6264 |
0.0015 |
3.9764 |
0.2515 |
24 |
211.7582 |
0.0047 |
843.0329 |
0.0012 |
3.9811 |
0.2512 |
25 |
264.6978 |
0.0038 |
1054.7912 |
0.0009 |
3.9849 |
0.2509 |
26 |
330.8722 |
0.0030 |
1319.4890 |
0.0008 |
3.9879 |
0.2508 |
27 |
413.5903 |
0.0024 |
1650.3612 |
0.0006 |
3.9903 |
0.2506 |
28 |
516.9879 |
0.0019 |
2063.9515 |
0.0005 |
3.9923 |
0.2505 |
29 |
646.2349 |
0.0015 |
2580.9394 |
0.0004 |
3.9938 |
0.2504 |
30 |
807.7936 |
0.0012 |
3227.1743 |
0.0003 |
3.9950 |
0.2503 |
31 |
1009.7420 |
0.0010 |
4034.9678 |
0.0002 |
3.9960 |
0.2502 |
32 |
1262.1774 |
0.0008 |
5044.7098 |
0.0002 |
3.9968 |
0.2502 |
33 |
1577.7218 |
0.0006 |
6306.8872 |
0.0002 |
3.9975 |
0.2502 |
34 |
1972.1523 |
0.0005 |
7884.6091 |
0.0001 |
3.9980 |
0.2501 |
35 |
2465.1903 |
0.0004 |
9856.7613 |
0.0001 |
3.9984 |
0.2501 |
3.142.249.42