Foundations Of Finance
10th Edition
ISBN: 9780134897264
Author: KEOWN, Arthur J., Martin, John D., PETTY, J. William
Publisher: Pearson,
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Chapter 5, Problem 54SP
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How much do you have to deposit today so that beginning 11 years from now you can withdraw 10,000 a year for the next 5 years ( periods 11 through 15 ) plus an additional amount of 20,000 in the last year ( period 15 ) ? Assume an interest rate of 7 percent.
The amount of money you have to deposit today is $?
How much do you have to deposit today so that beginning 11 years from now you can withdraw
$12,000
a year for the next
6
years (periods 11 through
16)
plus an additional amount of
$24,000
in the last year (period
16)?
Assume an interest rate of
9
percent.
How much do you have to deposit today so that beginning 14 years from now you can withdraw 15,000 a year for the next 4 years (periods 14 through 17) plus an additional amount of 30,000 in that last year (period 17)? Assume an interest rate of 11 percent.
Chapter 5 Solutions
Foundations Of Finance
Ch. 5 - Prob. 1RQCh. 5 - The processes of discounting and compounding are...Ch. 5 - Prob. 3RQCh. 5 - Prob. 4RQCh. 5 - Prob. 5RQCh. 5 - Prob. 1SPCh. 5 - Prob. 2SPCh. 5 - Prob. 3SPCh. 5 - Prob. 4SPCh. 5 - Prob. 5SP
Ch. 5 - (Compound value) Stanford Simmons, who recently...Ch. 5 - (Future value) Sarah Wiggum would like to make a...Ch. 5 - Prob. 8SPCh. 5 - (Future value) Giancarlo Stanton hit 59 home runs...Ch. 5 - Prob. 10SPCh. 5 - Prob. 11SPCh. 5 - Prob. 12SPCh. 5 - Prob. 13SPCh. 5 - Prob. 14SPCh. 5 - Prob. 15SPCh. 5 - Prob. 16SPCh. 5 - Prob. 17SPCh. 5 - Prob. 18SPCh. 5 - Prob. 19SPCh. 5 - Prob. 20SPCh. 5 - Prob. 21SPCh. 5 - Prob. 22SPCh. 5 - Prob. 23SPCh. 5 - Prob. 24SPCh. 5 - (Solving for PMT of an annuity) To pay for your...Ch. 5 - Prob. 26SPCh. 5 - Prob. 27SPCh. 5 - (Loan amortization) On December 31, Beth Klemkosky...Ch. 5 - (Solving for r of an annuity) You lend a friend...Ch. 5 - Prob. 30SPCh. 5 - (Compound annuity) You plan on buying some...Ch. 5 - (Loan amortization) On December 31, Son-Nan Chen...Ch. 5 - (Loan amortization) To buy a new house you must...Ch. 5 - Prob. 34SPCh. 5 - Prob. 35SPCh. 5 - Prob. 36SPCh. 5 - Prob. 37SPCh. 5 - Prob. 38SPCh. 5 - (Compound interest uith nonannnal periods) a....Ch. 5 - (Compound interest with nonannual periods) After...Ch. 5 - Prob. 41SPCh. 5 - (Spreadsheet problem) To buy a new house you take...Ch. 5 - (Nonannual compounding using a calculator) Jesse...Ch. 5 - (Nonannual compounding using a calculator)...Ch. 5 - (Nonannual compounding using a calculator) Fords...Ch. 5 - Prob. 46SPCh. 5 - (Nonannual compounding using a calculator) Dennis...Ch. 5 - Prob. 48SPCh. 5 - (Calculating the effective annual rate) Youve just...Ch. 5 - Prob. 50SPCh. 5 - Prob. 51SPCh. 5 - (Present value) The Kumar Corporation is planning...Ch. 5 - (Perpetuities) What is the present value of the...Ch. 5 - (Complex present value) How much do you have to...Ch. 5 - (Complex present value) You would like to have...Ch. 5 - Prob. 56SPCh. 5 - Prob. 57SPCh. 5 - Prob. 58SPCh. 5 - Prob. 59SPCh. 5 - (Present value of a complex stream) Don Draper has...Ch. 5 - (Present value of a complex stream) Don Draper has...Ch. 5 - (Complex stream of cash flows) Roger Sterling has...Ch. 5 - (Future and present value using a calculator) In...Ch. 5 - Prob. 1MCCh. 5 - Prob. 2MCCh. 5 - Prob. 3MCCh. 5 - Prob. 4MCCh. 5 - Prob. 5MCCh. 5 - Prob. 6MCCh. 5 - Prob. 7MCCh. 5 - Prob. 8MCCh. 5 - Prob. 9MCCh. 5 - Prob. 10MCCh. 5 - Prob. 11MC
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- Use 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_forwardYou 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 $2,500 over the next 4 years when the interest rate is 15%, how much do you need to deposit in the account? B. If you place $6,200 in a savings account, how much will you have at the end of 7 years with a 12% interest rate? C. You invest $8,000 per year for 10 years at 12% interest, how much will you have at the end of 10 years? D. You win the lottery and can either receive $750,000 as a lump sum or $50,000 per year for 20 years. Assuming you can earn 8% interest, which do you recommend and why?arrow_forward
- Calculating interest earned and future value of savings account. If you put 6,000 in a savings account that pays interest at the rate of 3 percent, compounded annually, how much will you have in five years? (Hint: Use the future value formula.) How much interest will you earn during the five years? If you put 6,000 each year into a savings account that pays interest at the rate of 4 percent a year, how much would you have after five years?arrow_forwardHow much do you have to deposit today so that exactly 10 years from now you can withdraw $10,000 a year for the next five years? Assume an interest rate of 6%arrow_forwardWhat is the present value of $3,000 paid each year forever, assuming a discount rate of 5% and the first payment occurs one year from now? Equivalently: What amount would you have to invest today at an interest rate of 5% to generate an annual payment of $3,000 forever?arrow_forward
- 5. How much do you have to deposit today so that exactly 10 years from now you can withdraw $10,000 a year for the next five years? Assume an interest rate of 6%. Please use excel formularrow_forwardYou will receive a cash payment of $6.4 in 4 years. If the relevant interest rate is 16.4%, how much is it worth today? Answer:arrow_forward(Complex present value) You would like to have $44,000 in 11 years. To accumulate this amount, you plan to deposit each year an equal sum in the bank, which will earn 9 percent interest compounded annually. Your first payment will be made at the end of the year. a. How much must you deposit annually to accumulate this amount? b. If you decide to make a large lump-sum deposit today instead of the annual deposits, how large should this lump-sum deposit be? (Assume you can earn 9 percent on this deposit.) c. At the end of 6 years you will receive $11,000 and deposit this in the bank toward your goal of $44,000 at the end of 11 years. In addition to this deposit, how much must you deposit in equal annual deposits to reach your goal? (Again assume you can earn 9 percent on this deposit.) a. How much must you deposit annually to accumulate $44,000 in 11 years?arrow_forward
- (Present Value of an Income Stream)Suppose the market interest rate is 10 percent. Would you be willing to lend $10,000 if you were guaranteed to receive $1,000 at the end of each of the next 12 years plus a $5,000 payment 15 years from now? Why or why not?arrow_forward(Complex present value) You would like to have $40,000 in 9 years. To accumulate this amount, you plan to deposit each year an equal sum in the bank, which will earn 8 percent interest compounded annually. Your first payment will be made at the end of the year. a. How much must you deposit annually to accumulate this amount? b. If you decide to make a large lump-sum deposit today instead of the annual deposits, how large should this lump-sum deposit be? (Assume you can earn 8 percent on this deposit.) c. At the end of 6 years you will receive $10,000 and deposit this in the bank toward your goal of $40,000 at the end of 9 years. In addition to this deposit, how much must you deposit in equal annual deposits to reach your goal? (Again assume you can earn 8 percent on this deposit.) a. How much must you deposit annually to accumulate $40,000 in 9 years? (Round to the nearest cent.) b. If you decide to make a large lump-sum deposit today instead of the annual deposits, how large should…arrow_forwardHow much should you pay today for a 10 year annuity that will provide annual payments of $10,000? Assume an interest rate of 4%. PLEASE BREAK IT DOWNarrow_forward
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