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You are considering two loans. The terms of the two loans are equivalent with th

ID: 2733204 • Letter: Y

Question

You are considering two loans. The terms of the two loans are equivalent with the exception of the interest rates. Loan A offers a rate of 9.25 percent, compounded semiannually. Loan B offers a rate of 9.1 percent, compounded daily. Which loan should you select and why?

B; the annual percentage rate is 9.10 percent

A; the annual percentage rate is 9.25 percent

B; the effective annual rate is 9.53 percent

A; the effective annual rate is 9.46 percent.

The loans are equivalent offers so you can select either one.

B; the annual percentage rate is 9.10 percent

A; the annual percentage rate is 9.25 percent

B; the effective annual rate is 9.53 percent

A; the effective annual rate is 9.46 percent.

The loans are equivalent offers so you can select either one.

Explanation / Answer

You should select the loan which has a lowe effective interest rate

The effective interest rate of loan A = (1+0.0925/2)^2 -1 = 9.46%

The effective interest rate of loan B = (1+0.091/4)^4 -1 = 9.42%

So we select Loan we select Loan B since it has a lower effetive rate.

Som answer is B; the annual percentage rate is 9.10 percent

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