EBK CONTEMPORARY FINANCIAL MANAGEMENT
14th Edition
ISBN: 9781337514835
Author: MOYER
Publisher: CENGAGE LEARNING - CONSIGNMENT
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Chapter 5, Problem 31P
Summary Introduction
To determine: The amount Person X should deposit at the end of each quarter.
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If you borrow $8,637 and are required to pay back the loan in five equal annual installments of $2,700, what is the interest rate
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whole percent.)
Interest rate
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Assume that you borrow $5000 and pay back the $5000 plus $250 in interest at the end of the year. Assuming no inflation, what is the real interest rate? What would the interest rate be if the $250 of interest had been discounted at the time the loan was made? What would the interest rate be if you were required to repay the loan in 12 equal monthly installments?
If you borrow $9,983 and are required to pay back the loan in five equal annual installments of $2,500, what is the interest rate associated with the loan? Use Appendix D or a financial calculator to solve this problem. (Round your answer to the nearest whole percent.
Chapter 5 Solutions
EBK CONTEMPORARY FINANCIAL MANAGEMENT
Ch. 5.A - Prob. 1PCh. 5.A - Prob. 2PCh. 5.A - Prob. 3PCh. 5.A - Prob. 4PCh. 5.A - Prob. 5PCh. 5.A - Prob. 6PCh. 5 - Prob. 1QTDCh. 5 - Prob. 2QTDCh. 5 - Prob. 3QTDCh. 5 - Prob. 4QTD
Ch. 5 - Prob. 5QTDCh. 5 - Prob. 6QTDCh. 5 - Prob. 7QTDCh. 5 - Prob. 8QTDCh. 5 - Prob. 9QTDCh. 5 - Prob. 10QTDCh. 5 - Prob. 11QTDCh. 5 - Prob. 12QTDCh. 5 - Prob. 13QTDCh. 5 - Prob. 14QTDCh. 5 - Prob. 15QTDCh. 5 - Prob. 16QTDCh. 5 - Prob. 17QTDCh. 5 - Prob. 18QTDCh. 5 - Prob. 19QTDCh. 5 - Prob. 1PCh. 5 - Prob. 2PCh. 5 - Prob. 3PCh. 5 - Prob. 4PCh. 5 - Prob. 5PCh. 5 - Prob. 6PCh. 5 - Prob. 7PCh. 5 - Prob. 8PCh. 5 - Prob. 9PCh. 5 - Prob. 10PCh. 5 - Prob. 11PCh. 5 - Prob. 12PCh. 5 - Prob. 13PCh. 5 - Prob. 14PCh. 5 - Prob. 15PCh. 5 - Prob. 16PCh. 5 - Prob. 17PCh. 5 - Prob. 18PCh. 5 - Prob. 19PCh. 5 - Prob. 20PCh. 5 - Prob. 21PCh. 5 - Prob. 22PCh. 5 - Prob. 23PCh. 5 - Prob. 24PCh. 5 - Prob. 25PCh. 5 - Prob. 26PCh. 5 - Prob. 27PCh. 5 - Prob. 28PCh. 5 - Prob. 29PCh. 5 - Prob. 30PCh. 5 - Prob. 31PCh. 5 - Prob. 32PCh. 5 - Prob. 33PCh. 5 - Prob. 34PCh. 5 - Prob. 35PCh. 5 - Prob. 36PCh. 5 - Prob. 37PCh. 5 - Prob. 38PCh. 5 - Prob. 39PCh. 5 - Prob. 40PCh. 5 - Prob. 41PCh. 5 - Prob. 42PCh. 5 - Prob. 43PCh. 5 - Prob. 44PCh. 5 - Prob. 45P
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- You put $250 in the bank for S years at 12%. A. If interest is added at the end of the year, how much will you have in the bank after one year? Calculate the amount you will have in the bank at the end of year two and continue to calculate all the way to the end of the fifth year. B. Use the future value of $1 table in Appendix B and verity that your answer is correct.arrow_forwardUse the tables in Appendix B to answer the following questions. A. If you would like to accumulate $4,200 over the next 6 years when the interest rate is 8%, how much do you need to deposit in the account? B. If you place $8,700 in a savings account, how much will you have at the end of 12 years with an interest rate of 8%? C. You invest $2,000 per year, at the end of the year, for 20 years at 10% interest. How much will you have at the end of 20 years? D. You win the lottery and can either receive $500,000 as a lump sum or $60,000 per year for 20 years. Assuming you can earn 3% interest, which do you recommend and why?arrow_forwardAnswer the following Compound Interest problem using the provided formula ONLY. Show your complete solution. 7. Compound Interest A. If the sum of P 12,000 (pesos) is deposited in an account earning interest rate of 9% compounded quarterly, what will it become after 1 year? B. In the previous problem, what is the effective rate? C. What is then the equivalent nominal interest rate if compounded monthly?arrow_forward
- (Compound interest with nonannual periods) After examining the various personal loan rates available to you, you find that you can borrow funds from a finance company at an APR of 6 percent compounded quarterly or from a bank at an APR of 7 percent compounded monthly. Which alternative is more attractive? a. If you borrow $100 from a finance company at an APR of 6 percent compounded quarterly for 1 year, how much do you need to payoff the loan? $nothing (Round to the nearest cent.)arrow_forwardYou've borrowed $6,903.71 and agreed to pay back the loan with monthly payments of $270. Assume the interest rate is 15% stated as an APR. a. How long will it take you to pay back the loan? Note: Do not round intermediate calculations. Round your answer to the nearest whole number. Number of months b. What is the effective annual rate on the loan? Note: Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places. Effective annual rate %arrow_forwardIf you borrow $7,500 at $550 interest for one year, what is your effective interest rate for the following payment plans? (Input your answers as a percent rounded to 2 decimal places.) a. Annual payment b. Semiannual payments c. Quarterly payments d. Monthly payments Effective Rate of Interest % % %arrow_forward
- (Compound interest with nonannual periods) After examining the various personal loan rates available to you, you find that you can borrow funds from a finance company at an APR of 6 percent compounded weekly or from a bank at an APR of 7 percent compounded quarterly. Which alternative is more attractive? a. If you borrow $100 from a finance company at an APR of 6 percent compounded weekly for 1 year, how much do you need to payoff the loan? (Round to the nearest cent.)arrow_forwardAssume you have secured a loan of $10,000 from a bank which will be paid in one year. The bank has offered you $850 monthly installments, which equates to a 3.67% annualized interest rate. The monthly interest rate of 0.31% is the annual rate divided by 12. You know that the interest is paid at the end of the period, so you can multiply the opening balance by the monthly interest rate to get the interest paid. What is the interest rate to be paid for the month of October? Month Payment Interest Principal Opening Balance Closing Balance January $850.00 $10,000.00 February $850.00 March $850.00 April $850.00 May $850.00 June $850.00 July $850.00 August $850.00 September $850.00 October $850.00 November $850.00 December $850.00 Monthly Rate 0.31% Annual Rate 3.67% Total Interest Paid Group of answer choices a. 2.25…arrow_forwardAssume you have secured a loan of $10,000 from a bank which will be paid in one year. The bank has offered you $850 monthly installments, which equates to a 3.67% annualized interest rate. The monthly interest rate of 0.31% is the annual rate divided by 12. You know that the interest is paid at the end of the period, so you can multiply the opening balance by the monthly interest rate to get the interest paid. What is the interest rate to be paid for the month of October? Month Payment Interest Principal Opening Balance Closing Balance January $850.00 $10,000.00 February $850.00 March $850.00 April $850.00 May $850.00 June $850.00 July $850.00 August $850.00 September $850.00 October $850.00 November $850.00 December $850.00 Monthly Rate 0.31% Annual Rate 3.67% Total Interest Paid CHOICES: A.10.32B.…arrow_forward
- Suppose United Bank offers to lend you $10,000 for one year at a nominal annual rate of 8.00%, but you must make interest payments at the end of each quarter and then pay off the $10,000 principal amount at the end of the year. What is the effective annual rate on the loan?arrow_forwardSuppose that you need an amount of money which equals to $10000000. It is possible to find it from bank A at an annual interest rate of 18% under 12 equal payment. If the first payment will be 1 month later the day you used the loan. Find the CF (Cash Flow), the equal payments and prepare the amortization table.arrow_forwardPursell Bank offers you a five-year loan for $100,000 at an annual interest rate of 6.8 percent. What will your annual loan payment be? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) Annual loan paymentarrow_forward
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