Question

First National Bank charges 13.1 percent compounded monthly on its business loans. First United Bank charges 13.4 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:

EAR for First national Bank =  13.92 %

EAR for First United Bank = 13.85 %

Explanation:

given data

First National Bank charges =  13.1 percent

compounded monthly , 1 year = 12 month

First United Bank charges = 13.4 percent

compounded semiannually , 1 year = 2 semiannually

solution

we get here first EAR for First national Bank that is express as

EAR for First national Bank = $(1+ \frac{r}{n} )^n - 1$ .....................1

here r is rate and n is month

so put here value

EAR for First national Bank =  $(1+ \frac{0.131}{12} )^{12} - 1$

EAR for First national Bank =  13.92 %

and

EAR for First United Bank   is

EAR for First United Bank = $(1+ \frac{r}{n} )^n - 1$   ..................2

here r is rate and n is semi annually

EAR for First United Bank = $(1+ \frac{0.134}{2} )^2 - 1$

EAR for First United Bank = 13.85 %

here First United bank EAR is less