Abner and Maude are both in their eighties. They're thinking of selling their house for $500,000 and moving into an apartment complex for seniors. The apartment will cost $50,000 per year, payable in full at the end of each year. If they can earn 6% annually on the proceeds from their house, what is the longest they can live from the house proceeds before the money runs out?

Abner and Maude are both in their eighties. They're thinking of selling their house for $500,000 and moving into an apartment complex for seniors. The apartment will cost $50,000 per year, payable in full at the end of each year. If they can earn 6% annually on the proceeds from their house, what is the longest they can live from the house proceeds before the money runs out?

Essentials Of Investments

11th Edition

ISBN:9781260013924

Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Chapter1: Investments: Background And Issues

Section: Chapter Questions

Problem 1PS

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Your friend has just celebrated her 30th birthday and accepted her first job. She must now decide how much money to put into her retirement plan. Assume that every dollar in the plan is expected to earn a return of 8% p.a. and that your friend cannot make any withdrawals until she retires on her 65th birthday. After that point, she can make withdrawals as she wishes. She plans to live to 100 years and she plans to work until she turns 65. She estimates that to live comfortably in retirement, she will need $120,000 every year starting at the end of the first year of retirement and ending on her 100th birthday. Assume that she starts the contribution to her retirement plan on her 31st birthday and that she will contribute the same amount to the plan at the end of every year that she works. The amount of money she would need to contribute every year to fund her retirement is closest to: a. $7,475. b. $8,116. c. $8,207. d. $8,817.
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You are planning for your retirement. You expect to earn a monthly salary of $7,000 starting on the 1st month after you retire, which will be able to provide comfortably for your daily expenses through your retirement years. You are currently 33 and plan on retiring when you become 64, and you expect to live 20 years after retirement. In addition to providing a salary for your retirement you would like to buy a house by the time you reach 55. The house you dream of would cost you $1,650,000. Now you have a down payment of $50,000 (ignore closing costs). In addition you would like to offer yourself a retirement gift, a Mercedes that you would buy brand new to serve you through your retirement years. The car is expected to cost you $76,000. It will be purchased when you reach 64 years of age. Assume you can earn 12% compounded monthly from now until you retire, and the rate will change to 6% monthly compounding after that. How much should you save per month to be able to buy the car…
Johnny and June would like to begin saving for their children's college education. They have four kids, ages 1, 5, 11, and 14. Each child will begin college at 18 and attend a private university for four years. Tuition is currently $22,000 per year and is increasing at 4% per year. They can earn an after-tax rate of return of 9%. How much must they save at the end of each year if they would like to make the last payment at the beginningof their youngest child's last year of college? a. $16,479. b. $19,271. c. $22,868. d. $24,434.
Aziz and Bo are planning a big graduation party for their friends in exactly four years. They decide to invest some money today to cover the costs of the party. Both determine they will receive an APR of 3% from their investments and need $10 000 to cover the costs, but Aziz’s investment compounds monthly while Bo’s compounds weekly.If PA is the initial value of Aziz’s investment, PB is the initial value of Bo’s investment, and both aim to finance the party with the least amount of capital, what is the relationship between PA and PB? Namely, is PA > PB, PB > PA, are they equal, or can they not be compared? Give a brief explanation of your answer.
Chen's family is saving for a home renovation that they would like to pay for with cash. They would like to begin the renovations at the end of 12 years. At the end of each year, the family deposits money into an account that earns 5% compounded annually. At the end of year 1, they save $10,000. They plan to increase the amount that they save by a constant amount, X. What will be the correct value of X, assuming their renovation costs $150,000?
A couple just got married and they are both 25 years of age. They each plan to retire in 40 years at the age of 65. They want to be able to receive $200,000 at the end of each year for 20 years, upon retirement. Currently they have a total of $2,000 in cash savings. In addition they expect to receive a total of $100,000 as a retirement bonus at the end of 40 years from their employer. How much must they save at the end of each year for the next 40 years so as to have enough money to achieve their retirement goal? Assume the interest rate is 8% and will remain the same.Using all the answers to the previous questions, what is the present value today of the amount that they need to save up to reach their retirement objective?
A 45-year-old woman decides to put funds into a retirement plan. She can save $2,000 a year and earn 6 percent on this savings. How much will she have accumulated if she retires at age 65? At retirement how much can she withdraw each year for 20 years from the accumulated savings if the savings continue to earn 6 percent?
Maria and Roberto Cruz's financial adviser told them they will need 80 percent of their preretirement income to live comfortably. Their annual preretirement income is $75,000. What will their annual retirement income need to be?
Munira Al Falasi is 40 years old. She wants to begin saving for retirement with the first payment to come 1 year from now. She can save $5,000 per year with 9% rate of return. How much money will Munira have at the age of 65? How much money will Munira have at the age of 70? Munira expects to live for 20 years, if she retires at 65; and for 15 years, if she retires at 70. If her investments continue to earn the same rate of return, how much will Munira be able to withdraw at the end of each year after her retirement at each retirement age? Munira expects to live for 20 years, if she retires at 65: Munira expects to live for 15 years, if she retires at 70:
The Calvarusos have decided to invest in a college fund for their young son. They invested $40,000 in a deferred annuity that will pay their son at the beginning of every month for 4 years, while he goes to college. If the account earns 2.50% compounded monthly and the annuity payments are deferred for 15 years, what will be the size of the monthly payments?
Your parents are planning to retire in 20 years. They currently have $1,000,000 and they would like to have $5,000,000 when they retire. What annual rate of interest would they have to earn on their $1,000,000 to reach their goal, assuming they save no more money?

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