Question

First National Bank charges 13.5 percent compounded monthly on its business loans. First United Bank charges 13.8 percent compounded semiannually. Calculate the EAR for First National Bank and First United Bank. (Do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g., 32.16.)

Answer 1

Answer: 14.28%

Explanation:

Effective Annual Rate is the rate that takes the periodic rates and converts it to an annual rate if compounding the periodic rate was taken into account.

The formula is;

EAR = (1 + r/m)^m - 1

Where;

r is the Annual nominal rate of interest and,

m is Number of compounding periods in a year

EAR = ( 1 + 13.8/2)² - 1

= 1.142761 - 1

= 0.142761

= 14.28%