Question

Find the APR, or stated rate, in each of the following cases (Do not round 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 10.7 % Monthly 11.6 Weekly 9.3 Infinite 13.0

Answer 1

Answer:

EAR = (1+APR/m)^m - 1 where m=compounding periods  

1.  0.116 = (1+APR/2)^2 - 1

(1+0.116) = (1+APR/2)^2

(1.116)^(1/2) = 1+APR/2

APR = [(1.107)^(1/2) - 1]*2

APR = [1.05214067501 - 1]*2

APR = 0.05214067501 * 2

APR = 0.10428135002

APR = 10.43%

2. 0.116 = (1+APR/12)^12-1

APR = [(1+0.116)^(1/12)-1]*12

APR = [1.116^(1/12) - 1] * 12

APR = [1.00918785692 - 1] * 12

APR = 0.00918785692 * 12

APR = 0.11025428304

APR = 11.05%

3. 0.093  = (1+APR/52)^52 - 1

APR = [(1+0.093)^(1/52) - 1] * 52

APR = [1.093^(1/52) - 1] * 52

APR = [1.0017115825  - 1] * 52

APR = 0.0017115825 * 52

APR = 0.08900229

APR = 8.90%