4. Amy Johnson wants to retire on $75,000 per year for her life expectancy of 20 years after she retires. She estimates that she will be able to earn an interest rate of 10.1%, compounded annually, throughout her lifetime. To reach her retirement goal, Amy will make annual contributions to her account for the next 30 years. One year after making her last deposit, she will receive her first retirement check. How large must her yearly contribution be?

4. Amy Johnson wants to retire on $75,000 per year for her life expectancy of 20 years after she retires. She estimates that she will be able to earn an interest rate of 10.1%, compounded annually, throughout her lifetime. To reach her retirement goal, Amy will make annual contributions to her account for the next 30 years. One year after making her last deposit, she will receive her first retirement check. How large must her yearly contribution be?

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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Adele is planning for retirement. She would like to have $75,000 in her hand at the beginning of her first year of retirement at age 65 to live on for the year. She estimates that the amount will have to grow by 6% every year to keep up with inflation. What APR (nominal rate per year) should her retirement account earn if it is compounded continuously? She plans to deposit $21,000 on her 40th birthday and plans to keep increasing the deposits by 6% every year and till her 64th birthday. She estimates her life expectancy to be 85, meaning she would like to have the last retirement payment on her 85th birthday.
Ashley invests $250 a month in her 401(k) retirement account, which earns an 8 percent annual return. After 35 years, how much money will she have in the account over and above the amounts she will contribute through the years?
Monica has decided that she wants to build enough retirement wealth, if invested at 8 percent per year, to provide her with $3,500 of monthly income for 20 years. To date, she has saved nothing, but she still has 30 years until she retires. How much money does she need to contribute per month to reach her goal? First compute how much money she will need at retirement, then compute the monthly contribution to reach that goal.
Annie would like a retirement income of $4,000 per month (beginning of month payments) for 23 years once she retires. How much must she have in her retirement account on the day she retires if the account can earn 4% compounded semi-annually? Your Answer: Answer
Leila is saving for her retirement by making deposits of $22,000 on each birthday into a savings account starting on her 51st birthday and ending on her 64th birthday (inclusive). Given an effective annual rate of interest of 3.3%, how much will she accumulate by her 65th birthday?
Considering inflation, Joanna is advised that she will need $4,500 a month for living expense once she is retired. She plans for her retirement savings to last 20 years, with the first withdrawal on the date of her retirement. How much will she need to have saved at the start of her retirement, if she invests at 5% compounded semi-annually. And how much will she need to contribute at the end of each month for 25 years to meet this new retirement goal with an initial investment of $50,000?
Amy Johnson wants to retire on $75,000 per year for her life expectancy of 20 years after she retires. She estimates that she will be able to earn an interest rate of 10.1%, compounded annually, throughout her lifetime. To reach her retirement goal, Amy will make annual contributions to her account for the next 30 years. One year after making her last deposit, she will receive her first retirement check. How large must her yearly contribution be? (Solve with Presents Values with Annuities or Loans and Amortization)
Una Day is planning to retire in 14 years, at which time she hopes to have accumulated enough money to receive an annuity of $17,000 a year for 19 years of retirement. During her pre-retirement period she expects to earn 8 percent annually, while during retirement she expects to earn 10 percent annually on her money. What annual contributions to this retirement fund are required for Una to achieve her objective and sleep well at night? (Use a Financial calculator to arrive at the answer. Do not round intermediate calculations. Round the final answer to the nearest whole dollar.) Annual contribution $ 7,422 x
Sara Sharp, a 30-year-old insurance broker, decided to start a retirement plan. She figures that her income for the next 20 years will be sufficient to deposit $300 at the end of each month into her retirement plan. She will then let the money sit for another 10 years until she is 60 years old. If Sarah’s retirement plan earns 5.75% compounded monthly, what amount will she have when she turns 60?
Una Day is planning to retire in 11 years, at which time she hopes to have accumulated enough money to receive an annuity of $21,000 a year for 16 years of retirement. During her pre-retirement period she expects to earn 12 percent annually, while during retirement she expects to earn 14 percent annually on her money. What annual contributions to this retirement fund are required for Una to achieve her objective and sleep well at night? (Use a Financial calculator to arrive at the answer. Do not round intermediate calculations. Round the final answer to the nearest whole dollar.) Annual contribution $
Aji who is now 25 years old, wants to buy a retirement plan starting at the age of 55 year with an income of $3,000,000 per year, where the first payment is made on his 55th birthday. For that he will make annual payments at the beginning of the year starting now and ending on his birthday 54th year. Calculate the amount of the annual payment!Return rate 7%
Lisa expects to retire in 21 years, and she expects to live 30 years after she retires. Lisa would like to have $60K available at the beginning of each year of her retirement. How much would Lisa need to deposit at the end of each of the next 12 years in order for her to reach her retirement objective? The deposits will be made into an account that earns 10% interest.

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