Quantitative Problem: Bank 1 lends funds at a nominal rate of 7% with payments to be made semiannually. Bank 2 requires payments to be made quarterly. If Bank 2 would like to charge the same effective annual rate as Bank 1, what nominal interest rate will they charge their customers? Do not round intermediate calculations. Round your answer to three decimal places. %

Quantitative Problem: Bank 1 lends funds at a nominal rate of 7% with payments to be made semiannually. Bank 2 requires payments to be made quarterly. If Bank 2 would like to charge the same effective annual rate as Bank 1, what nominal interest rate will they charge their customers? Do not round intermediate calculations. Round your answer to three decimal places. %

Corporate Fin Focused Approach

5th Edition

ISBN:9781285660516

Author:EHRHARDT

Publisher:EHRHARDT

Chapter4: Time Value Of Money

Section: Chapter Questions

Problem 3STP

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EFFECTIVE VERSUS NOMINAL INTEREST RATES Bank A pays 4% interest compounded annually on deposits, while Bank B pays 35% compounded daily. a. Based on the EAR (or EFF%), which hank should you use? b. 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.
Gifts Galore Inc. borrowed 1.5 million from National City Bank. The loan was made at a simple annual interest rate of 9% a year for 3 months. A 20% compensating balance requirement raised the effective interest rate. a. The nominal annual rate on the loan was 11.25%. What is the true effective rate? b. What would be the effective cost of the loan if the note required discount interest? c. What would be the nominal annual interest rate on the loan if the bank did not require a compensating balance but required repayment in three equal monthly installments?
Effective Cost of Short-Term Credit Yonge Corporation must arrange financing for its working capital requirements for the coming year. Yonge can: (a) borrow from its bank on a simple interest basis (interest payable at the end of the loan) for 1 year at a 12% nominal rate; (b) borrow on a 3-month, but renewable on rate with 12 end-of-month payments; or (d) obtain the needed funds by no longer taking discounts and thus increasing its accounts payable. Yonge buys on terms of 1/15, net 60. What is the effective annual cost (not the nominal cost) of the least expensive type of credit, assuming 360 days per year?
A firm sells its accounts receivables to a factor at a 3.5% discount. The average collection period is 3 month. a. What is the effective annual interest rate on this arrangement? (Round your answer to 2 decimal places.) b. What is the implicit effective annual interest rate if the average collection period is 5 months? (Round your answer to 2 decimal places.)
EFFECTIVE VERSUS NOMINAL INTEREST RATES Bank A pays 2% interest compoundedannually on deposits, while Bank B pays 1.75% compounded daily.a. Based on the EAR (or EFF%), which bank should you use?b. Could your choice of banks be influenced by the fact that you might want to withdrawyour funds during the year as opposed to at the end of the year? Assume that yourfunds must be left on deposit during an entire compounding period in order to receiveany interest.
Zenith Bank charges an interest rate of 16.9% per annum on a loan to Samson Ltd. The bank requires borrowers to keep compensating balance (b) on loans of 3% and there is 7% reserve requirement (RR). The bank also charges administration fees of 2.9% of the loan amount per annum. What is the contractually promised rate of return to the bank from the loan? (Instructions: Please round your answer to four decimal places. Please also keep your answer in decimals not percentage terms. e.g. if the answer is 8.157%, enter 0.0816) Answer:
Pacific Bank pays a 9.75% nominal rate on deposits, with monthly compounding. What effective annual rate (EFF%) does the bank pay? Select the correct answer.
A bank pays a simple interest rate of 4.1% on 30 to 179-day GICs of at least $100,000. What is the effective annualized rate of return:a) On a 40-day GIC?b) On a 160-day GIC?
Bank A offers loans at an 8% nominal rate (its APR) butrequires that interest be paid quarterly; that is, it uses quarterly compounding. Bank Bwants to charge the same effective rate on its loans, but it wants to collect interest ona monthly basis, that is, to use monthly compounding. What nominal rate must BankB set?
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