In: Finance
Effective versus nominal interest rates
Bank A pays 9% interest compounded annually on deposits, while Bank B pays 8.5% compounded daily.
Based on the EAR (or EFF%), which bank should you use?
Could your choice of banks be influenced by the fact that you might want to withdraw your funds during the year as opposed to at the end of the year? Assume that your funds must be left on deposit during an entire compounding period in order to receive any interest.
Correct answers:
a. I. You would choose Bank A because its EAR is higher.
b. V. If funds must be left on deposit until the end of the compounding period (1 day for Bank A and 1 year for Bank B), and you think there is a high probability that you will make a withdrawal during the year, then Bank A might be preferable.
a.
Nominal rate of Bank A = 9%
Compounding = Annually
Thus, EAR of Bank A = 9%
Nominal rate of Bank B = 8.5%
Compounding = daily = 365
Thus, EAR of Bank B = (1+0.085/365)^365-1 = 8.87\%
EAR of Bank A is higher.
b.
If you need to left money until compounding period to earn any interest and there is high probability that you withdraw money before year end. Then, you should deposit in a bank with smaller compounding period (daily) and higher Nominal interest rate.