Find the APR, or stated rate, in each of the following cases. (Use 365 days in a year.Enter rounded answers as directed, but do not use rounded numbers in intermediate calculations.Enter your answers as a percent rounded to 2 decimal places (e.g. 32.16).) |
Stated Rate (APR) | Number of Times Compounded |
Effective Rate (EAR) | |||
% | Semiannually | 14 | |||
% | Monthly | 9 | |||
% | Weekly | 8 | |||
% | Daily | 13 |
EAR = | ( 1 + r /n)n - 1 |
Compounded Semi-anually | |
EAR = | ( 1 + r /n)n - 1 |
14% = | ( 1 + x%/2)^2 - 1 |
x = | 13.54% |
Compounded Monthly | |
EAR = | ( 1 + r /n)n - 1 |
9% = | ( 1 + x%/12)^12 - 1 |
x = | 8.65% |
Compounded Weekly | |
EAR = | ( 1 + r /n)n - 1 |
8% = | ( 1 + x%/52)^52 - 1 |
x = | 7.70% |
Compounded Daily | |
EAR = | ( 1 + r /n)n - 1 |
13% = | ( 1 + x%/365)^365 - 1 |
x = | 12.22% |
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