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Find the EAR in each of the following cases. (Do not round intermediate calculat

ID: 2809451 • Letter: F

Question

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.) Number of Times Compounded Stated Rate (APR) Effective Rate (EAR) Quarterly Monthly Daily Semiannually 8.25% 17.75 14.25 10.25 References eBook & Resources Worksheet Learning Objective: 05-04 Explain haw interest rates are quoted (and misquoted) Section: 5.3 Comparing Rates: The Effect of Compounding Periods Difficulty: 1 Basic

Explanation / Answer

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

1.EAR=(1+0.0825/4)^4-1

=8.51%(Approx).

2.EAR=(1+0.1775/12)^12-1

=19.27%(Approx).

3.EAR=(1+0.1425/365)^365-1

=15.31%(Approx).

4.EAR=(1+0.1025/2)^2-1

=10.51%(Approx).

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