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 59SP
Summary Introduction
To determine: The amount that should be contributed each year to Person D’s retirement fund
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Experts say that the baby boom generation (born 1946-1960) cannot count on a company pension or Social Security benefits to provide a comfortable retirement. It is recommended that they start to save regularly and early. Michael, a baby boomer, has decided to deposit $3000 every year in an account that pays 12% compounded semiannually for 15 years.
a) How much money will be in the account at the end of the 15 years?
b) Suppose Michael has determined he needs to accumulate $250,000 from this annuity. What rate would achieve this goal?
c) If he cannot get the higher rate, what amount would his payments need to be in order to achieve the goal?
Milhouse, 22, is about to begin his career as a rocket scientist for a NASA contractor. Being a rocket scientist, Milhouse knows that he should begin saving for retirement immediately. Part of his inspiration came from reading an article on Social Security in Time. The article indicated that the ratio of workers paying taxes to retirees collecting checks will drop dramatically in the future. In fact, the number will drop to two workers for every retiree in 2040. Milhouse’s retirement plan allows him to make equal yearly contributions, and it pays 9 percent interest annually. Upon retirement, Milhouse plans to buy a new boat, which he estimates will cost him $300,000 in 43 years, which is when he plans to retire (at age 65). He also estimates that in order to live comfortably he will require a yearly income of $80,000 for each year after he retires. Based on his family history, Milhouse expects to live until age 80 (that is, he would like to receive a payment of $80,000 at the end of…
Mr. Peter Phang, aged 35, is planning to retire at age 55. He understands from his advisor that he currently has a retirement funding shortfall of $800,000 at age 55 when he retires. His financial planner has recommended that he invest his savings in equities to help him meet the retirement funding shortfall. Assuming that the inflation-adjusted rate of return on equities is 5.5%, what is the regular savings which Peter will need to set aside yearly till his retirement?
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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- Molly Lincoln, a 30-year-old personal loan officer at First National Bank, understands the importance of starting early when it comes to saving for retirement. She has committed $4,000 per year for her retirement fund and assumes that she'll retire at age 65. How much will Molly have accumulated when she turns 65 if she invests in equities and earns 10 percent on average? Round your answer to the nearest dollar. Molly is urging her friend, Isaac Stein, to start his plan right away, too, because he's 45. What would his nest egg amount to if he invested in the same manner as Molly and he, too, retires at age 65? Round your answer to the nearest dollar. 2A. Nest egg amount at 6% 2B. Nest egg amount at 10%arrow_forwardMolly Lincoln, a 25-year-old personal loan officer at First National Bank, understands the importance of starting early when it comes to saving for retirement. She has committed $3,500 per year for her retirement fund and assumes that she'll retire at age 65. How much will Molly have accumulated when she turns 65 if she invests in equities and earns 8 percent on average? Round your answer to the nearest dollar. Molly is urging her friend, Isaac Stein, to start his plan right away, too, because he's 45. What would his nest egg amount to if he invested in the same manner as Molly and he, too, retires at age 65? Round your answer to the nearest dollar. 2a. Nest egg at 4% 2b. Nest egg at 8%arrow_forwardMagdalena, age 35, has $72,000 accumulated in savings. She projects she will save $23,000 a year until her retirement at age 67. Her current cost of living is $100,000. In retirement, she will receive $31,704 per year in Social Security and $20,000 in pension, both in today’s dollars and both expected to rise by the rate of inflation. Her retirement cost of living is expected to decline by $6,000, in current dollars in the first year of retirement and thereafter grow at the projected inflation rate of 3%. Her projected annual investment return is 6%. a. Calculate her accumulated savings at retirement. b. Calculate her annual income, expenditures, and annual withdrawal for the first year of retirement. c. Develop a withdrawal rate. d. Does she meet the withdrawal rate method of deciding whether she will have sufficient funds to retire? If not, what do you recommend and why?arrow_forward
- Marisa Gale, a 30-year-old personal loan officer at Second National Bank, understands the importance of starting early when it comes to saving for retirement. She has designated $2,500 per year for her retirement fund and assumes she'll retire at age 65. QUESTION. NO 1.How much will she have if she invests in CDs and similar money market instruments that earn 4 percent on average? Round your answer to the nearest dollar. NO 2.How much will she have if instead she invests in equities and earns 8 percent on average? Round your answer to the nearest dollar. NO 3. Marisa is urging her friend, Nolan Ransom, to start his plan right away because he's 35. What would his nest egg amount to if he invested in the same manner as Marisa and he, too, retires at age 65? Round your answer to the nearest dollar. Nest egg amount at 4% = Nest egg amount at 8% =arrow_forwardAn individual is currently 30 years old, wants to work until the age of 65 and plans on dying at the age of 85. How much will the individual need to have saved by the time he or she is 65 if he or she plans on spending $40,000 per year while retired? You can assume the individual can earn an interest rate of 5.0% and the $40,000 is in addition to any Social Security that may be receivedarrow_forwardour father is about to retire, and he wants to buy an annuity that will provide him with $93,000 of income a year for 25 years, with the first payment coming immediately. The going rate on such annuities is 5.70%. How much would it cost him to buy the annuity today? a. $1,293,250.21 b. $1,245,515.73 c. $1,316,510.13 d. $1,631,578.95 e. $1,223,510.13arrow_forward
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