Question

Bank A pays 10% interest compounded annually on deposits, while Bank B pays 9% compounded daily. a. Based on the EAR (or EFF%), which bank should you use? You would choose Bank A because its EAR is higher. You would choose Bank B because its EAR is higher. You would choose Bank A because its nominal interest rate is higher. You would choose Bank B because its nominal interest rate is higher. You are indifferent between the banks and your decision will be based upon which one offers you a gift for opening an account.

Answer 1

Answer:

Bank A should be chosen.

Explanation:

Given:

Effective annual rate (EAR) of bank A = 10%

Bank B pays 9% compounded daily. EAR of bank B is calculated below:

EAR = $( 1+\frac{i}{n})^{n} -1$

Where, i is 0.09

            n is compounding period that is 365 (since it is compounded daily)

EAR = $( 1+\frac{0.09}{365})^{365} -1$

       = 1.0942 - 1

       = 0.0942 or 9.42%

Bank B pays EAR of 9.42%

Based on EAR, Bank A should be selected as it pays higher EAR of 10%.