Question
Find the effective interest rate for a loan for 4 years compounded semiannually at an annual rate of 5%. Future value or compound amount of
Find the effective interest rate for a loan for 4 years compounded semiannually at an annual rate of 5%.
Future value or compound amount of $1.00
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Rate per period | |||||||||||
---|---|---|---|---|---|---|---|---|---|---|---|
Periods | 0.50% | 1.00% | 1.50% | 2.00% | 2.50% | 3.00% | 3.50% | 4.00% | 4.50% | 5.00% | 5.50% |
1 | 1.00500 | 1.01000 | 1.01500 | 1.02000 | 1.02500 | 1.03000 | 1.03500 | 1.04000 | 1.04500 | 1.05000 | 1.05500 |
2 | 1.01003 | 1.02010 | 1.03023 | 1.04040 | 1.05063 | 1.06090 | 1.07123 | 1.08160 | 1.09203 | 1.10250 | 1.11303 |
3 | 1.01508 | 1.03030 | 1.04568 | 1.06121 | 1.07689 | 1.09273 | 1.10872 | 1.12486 | 1.14117 | 1.15763 | 1.17424 |
4 | 1.02015 | 1.04060 | 1.06136 | 1.08243 | 1.10381 | 1.12551 | 1.14752 | 1.16986 | 1.19252 | 1.21551 | 1.23882 |
5 | 1.02525 | 1.05101 | 1.07728 | 1.10408 | 1.13141 | 1.15927 | 1.18769 | 1.21665 | 1.24618 | 1.27628 | 1.30696 |
6 | 1.03038 | 1.06152 | 1.09344 | 1.12616 | 1.15969 | 1.19405 | 1.22926 | 1.26532 | 1.30226 | 1.34010 | 1.37884 |
7 | 1.03553 | 1.07214 | 1.10984 | 1.14869 | 1.18869 | 1.22987 | 1.27228 | 1.31593 | 1.36086 | 1.40710 | 1.45468 |
8 | 1.04071 | 1.08286 | 1.12649 | 1.17166 | 1.21840 | 1.26677 | 1.31681 | 1.36857 | 1.42210 | 1.47746 | 1.53469 |
9 | 1.04591 | 1.09369 | 1.14339 | 1.19509 | 1.24886 | 1.30477 | 1.36290 | 1.42331 | 1.48610 | 1.55133 | 1.61909 |
10 | 1.05114 | 1.10462 | 1.16054 | 1.21899 | 1.28008 | 1.34392 | 1.41060 | 1.48024 | 1.55297 | 1.62889 | 1.70814 |
11 | 1.05640 | 1.11567 | 1.17795 | 1.24337 | 1.31209 | 1.38423 | 1.45997 | 1.53945 | 1.62285 | 1.71034 | 1.80209 |
12 | 1.06168 | 1.12683 | 1.19562 | 1.26824 | 1.34489 | 1.42576 | 1.51107 | 1.60103 | 1.69588 | 1.79586 | 1.90121 |
13 | 1.06699 | 1.13809 | 1.21355 | 1.29361 | 1.37851 | 1.46853 | 1.56396 | 1.66507 | 1.77220 | 1.88565 | 2.00577 |
14 | 1.07232 | 1.14947 | 1.23176 | 1.31948 | 1.41297 | 1.51259 | 1.61869 | 1.73168 | 1.85194 | 1.97993 | 2.11609 |
15 | 1.07768 | 1.16097 | 1.25023 | 1.34587 | 1.44830 | 1.55797 | 1.67535 | 1.80094 | 1.93528 | 2.07893 | 2.23248 |
16 | 1.08307 | 1.17258 | 1.26899 | 1.37279 | 1.48451 | 1.60471 | 1.73399 | 1.87298 | 2.02237 | 2.18287 | 2.35526 |
17 | 1.08849 | 1.18430 | 1.28802 | 1.40024 | 1.52162 | 1.65285 | 1.79468 | 1.94790 | 2.11338 | 2.29202 | 2.48480 |
18 | 1.09393 | 1.19615 | 1.30734 | 1.42825 | 1.55966 | 1.70243 | 1.85749 | 2.02582 | 2.20848 | 2.40662 | 2.62147 |
19 | 1.09940 | 1.20811 | 1.32695 | 1.45681 | 1.59865 | 1.75351 | 1.92250 | 2.10685 | 2.30786 | 2.52695 | 2.76565 |
20 | 1.10490 | 1.22019 | 1.34686 | 1.48595 | 1.63862 | 1.80611 | 1.98979 | 2.19112 | 2.41171 | 2.65330 | 2.91776 |
21 | 1.11042 | 1.23239 | 1.36706 | 1.51567 | 1.67958 | 1.86029 | 2.05943 | 2.27877 | 2.52024 | 2.78596 | 3.07823 |
22 | 1.11597 | 1.24472 | 1.38756 | 1.54598 | 1.72157 | 1.91610 | 2.13151 | 2.36992 | 2.63365 | 2.92526 | 3.24754 |
23 | 1.12155 | 1.25716 | 1.40838 | 1.57690 | 1.76461 | 1.97359 | 2.20611 | 2.46472 | 2.75217 | 3.07152 | 3.42615 |
24 | 1.12716 | 1.26973 | 1.42950 | 1.60844 | 1.80873 | 2.03279 | 2.28333 | 2.56330 | 2.87601 | 3.22510 | 3.61459 |
25 | 1.13280 | 1.28243 | 1.45095 | 1.64061 | 1.85394 | 2.09378 | 2.36324 | 2.66584 | 3.00543 | 3.38635 | 3.81339 |
26 | 1.13846 | 1.29526 | 1.47271 | 1.67342 | 1.90029 | 2.15659 | 2.44596 | 2.77247 | 3.14068 | 3.55567 | 4.02313 |
27 | 1.14415 | 1.30821 | 1.49480 | 1.70689 | 1.94780 | 2.22129 | 2.53157 | 2.88337 | 3.28201 | 3.73346 | 4.24440 |
28 | 1.14987 | 1.32129 | 1.51722 | 1.74102 | 1.99650 | 2.28793 | 2.62017 | 2.99870 | 3.42970 | 3.92013 | 4.47784 |
29 | 1.15562 | 1.33450 | 1.53998 | 1.77584 | 2.04641 | 2.35657 | 2.71188 | 3.11865 | 3.58404 | 4.11614 | 4.72412 |
30 | 1.16140 | 1.34785 | 1.56308 | 1.81136 | 2.09757 | 2.42726 | 2.80679 | 3.24340 | 3.74532 | 4.32194 | 4.98395 |
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