Question

In: Finance

Effective versus nominal interest rates Bank A pays 9% interest compounded annually on deposits, while Bank...

Effective versus nominal interest rates

Bank A pays 9% interest compounded annually on deposits, while Bank B pays 8.5% compounded daily.

  1. Based on the EAR (or EFF%), which bank should you use?

    1. You would choose Bank A because its EAR is higher.
    2. You would choose Bank B because its EAR is higher.
    3. You would choose Bank A because its nominal interest rate is higher.
    4. You would choose Bank B because its nominal interest rate is higher.
    5. You are indifferent between the banks and your decision will be based upon which one offers you a gift for opening an account.

  2. 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.

    1. If funds must be left on deposit until the end of the compounding period (1 year for Bank A and 1 day 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.
    2. If funds must be left on deposit until the end of the compounding period (1 year for Bank A and 1 day for Bank B), and you have no intentions of making a withdrawal during the year, then Bank B might be preferable.
    3. 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 B might be preferable.
    4. If funds must be left on deposit until the end of the compounding period (1 year for Bank A and 1 day for Bank B), and you think there is a high probability that you will make a withdrawal during the year, then Bank B might be preferable.
    5. 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.

Solutions

Expert Solution

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.


Related Solutions

Bank A pays 2% interest compounded annually on deposits, while Bank B pays 1.75% compounded daily....
Bank A pays 2% interest compounded annually on deposits, while Bank B pays 1.75% compounded daily. What would be the effective annual rate (EAR) that you would earn if you chose to deposit money in Bank B? Provide your answer in percentage format without using the % sign. Round to two decimal places.   To be marked correct, the answer provided needs to be +/- 0.01 from the actual answer.
Bank A pays 7% interest compounded annually on deposits, while Bank B pays 6% compounded daily....
Bank A pays 7% interest compounded annually on deposits, while Bank B pays 6% 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...
Suppose an investor plans to make monthly deposits into an account that pays 9% interest, compounded...
Suppose an investor plans to make monthly deposits into an account that pays 9% interest, compounded monthly, so that $100,000 will be in the account immediately after the payment at the end of Year 10. The first payment will occur at the end of Month 1 (one month from the present). How much must be deposited monthly?    A.   $517 per month    B.   $9,670 per month    C.   $6,580 per month    D.   $9,67 per month
South Central Bank pays 2.5 percent interest, compounded annually, on its savings accounts. Northern Bank pays...
South Central Bank pays 2.5 percent interest, compounded annually, on its savings accounts. Northern Bank pays 2.5 percent simple interest on its savings accounts. You want to deposit sufficient funds today so that you will have $1,500 in your account 2 years from today. The amount you must deposit today: will be greater if you invest with South Central Bank. is the same regardless of which bank you choose because they both pay the same rate of interest. is the...
If a bank pays 0.5% interest per month, determine the nominal interest rate. Find the effective...
If a bank pays 0.5% interest per month, determine the nominal interest rate. Find the effective interest rate for (a) compounded monthly, (b) compounded quarterly, (c) compounded weekly, (d) compounded daily and (e) compounded continuously.
You just deposited $25,000 in a bank account that pays a 12.0% nominal interest rate, compounded...
You just deposited $25,000 in a bank account that pays a 12.0% nominal interest rate, compounded semi-annually. If you also add another $3,000 to the account each year over the next five years, how much will be in the account five years from now?
You just deposited $2,500 in a bank account that pays a 4.0% nominal interest rate, compounded...
You just deposited $2,500 in a bank account that pays a 4.0% nominal interest rate, compounded quarterly. If you also add another $5,000 to the account one year (4 quarters) from now and another $7,500 to the account two years (8 quarters) from now, how much will be in the account three years (12 quarters) from now? Group of answer choices $18,563.53 $17,679.55 $16,035.88 $16,837.67 $15,234.08
You just deposited $3,500 in a bank account that pays a 4.0% nominal interest rate, compounded...
You just deposited $3,500 in a bank account that pays a 4.0% nominal interest rate, compounded quarterly. If you also add another $5,000 to the account one year (4 quarters) from now and another $7,500 to the account two years (8 quarters) from now, how much will be in the account three years (12 quarters) from now?
Bank A pays 15% interest, compounded monthly, on its money market account. What is the effective...
Bank A pays 15% interest, compounded monthly, on its money market account. What is the effective annual rate?
1. If you deposit $12,000 in a bank account that pays 9% of interest annually, how...
1. If you deposit $12,000 in a bank account that pays 9% of interest annually, how much will be in your account after 5 years? Round your answer to the nearest cent. 2. What is the present value of a security that will pay $13,000 in 20 years if securities of equal risk pay 12% annually? Round your answer to the nearest cent. 3. Your parents will retire in 27 years. They currently have $400,000 saved, and they think they...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT