Question

Find the EAR in each of the following cases. (Do not round intermediate calculations and enter...

Find the EAR in each of the following cases. (Do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g., 32.16. Use 365 days in a year.)

Stated Rate (APR) Number of times compounded Effective rate (EAR)
11% Quarterly
15% Monthly
17% Daily
13% Semiannually

Homework Answers

Answer #1

Effective rate is the rate you come across when taking the effect of compounding into account.

EAR = (1 + APR/N)^N

1) EAR = (1 + 0.11/4)^4 - 1 = 11.46%

2) EAR = (1 + 0.15/12)^12 -1 = 16.08%

3) EAR = (1+0.17/365)^365 - 1 = 18.53% (assuming 365 days a year as the assumption of days in question is not visible. Let me know if the assumption is different and I'll make the required changes.)

4) EAR = (1 + 0.13/2) ^2 - 1 = 13.42%

Do let me know in the comment section in case of any doubt.

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