You would like to have enough money saved to receive a $90,000 per year perpetuity after retirement. The annual interest rate is 8 percent. Required: How much would you need to have saved in your retirement fund to achieve this goal? a) Assume that the perpetuity payments start on the day of your retirement. b) Assume that the perpetuity payments start one year from the date of your retirement.

You would like to have enough money saved to receive a $90,000 per year perpetuity after retirement. The annual interest rate is 8 percent. Required: How much would you need to have saved in your retirement fund to achieve this goal? a) Assume that the perpetuity payments start on the day of your retirement. b) Assume that the perpetuity payments start one year from the date of your retirement.

EBK CONTEMPORARY FINANCIAL MANAGEMENT

14th Edition

ISBN:9781337514835

Author:MOYER

Publisher:MOYER

Chapter5: The Time Value Of Money

Section: Chapter Questions

Problem 32P

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After retirement, you expect to live for 25 years. You would like to have a $95,000 income each year. The annual interest rate is 9 percent per year. Required: Calculate the amount of savings you have in your retirement account to receive this income. A) Assume that the payments start on the day of your retirement. B) Assume that the payments start one year after the retirement.
Suppose you wish to retire forty years from today. You determine that you need $50,000 per year once you retire, with the first retirement funds withdrawn one year from the day you retire. You estimate that you will earn 6% per year on your retirement funds and that you will need funds up to 25 years after retirement. Use the PV of an ordinary annuity due formula. a) Calculate the amount you must deposit in an account today so that you have enough funds for retirement b) Calculate the amount you must deposit each year, starting one year from today, so that you have enough funds for retirement.
After retirement, you expect to live for 25 years. You would like to have a $95,000 income each year. The annual interest rate is 9 percent per year. Required: Calculate the amount of savings you have in your retirement account to receive this income. 1 Assume that the payments start on the day of your retirement. 2.Assume that the payments start one year after the retirement.
It is estimated that you will pay about $80,000 into the Social Security system (FICA) over your 40-year work span. For simplicity, assume this is an annuity of $2,000 per year, starting with your 26th birthday and continuing through your 65th birthday. Solve, a. What is the future equivalent worth of your Social Security savings when you retire at age 65 if the government’s interest rate is 6% per year? b. What annual withdrawal can you make if you expect to live 20 years in retirement? Let i= 6% per year.
You wish to retire after 22 years; at which time you want to have accumulated enough money to receive an annuity of $68,000 a year for 25 years of retirement. During the period before retirement, you can earn 6 percent annually, while after retirement you can earn 4 percent on your money. What annual contribution to the retirement fund will allow you to receive the $68,000 annually?
You estimate you need to supplement your social security payments with monthly withdrawals of $1,400.00 per month from a private investment account during the first 23 years of your retirement. Assuming you can earn annual returns of 5.2% in your investment account during your retirement years, how much money do you need to have accumulated in your investment account by the day you retire in order to fund the aforementioned monthly withdrawals?
You would like to have enough money saved to receive a growing annuity for 25 years, growing at a rate of 4% per year, the first payment being $60,000 after retirement, so that you and yourfamily can lead a good life. How much would you need to save in your retirement fund toachieve this goal? (assume that the growing perpetuity payments start one year from the date ofyour retirement. The interest rate is 12%)?
Mr. Chew, a retiree, expects to live for the next 20 years and would like to receive a regular retirement income by purchasing an immediate annuity. His desired retirement income is $24,000 per year. The regular pay out is paid immediately on purchase of the annuity. The projected rate of return of the annuity product is 2.5%. To purchase the annuity today, how much Mr Chew would require a lump sum of?
a) You deposit $135.29 monthly into an account paying 8.75% for 27 years. Find the future value of the annuity. Show your work in detail.
To supplement your retirement, you estimate that you need to accumulate $290,000 exactly 41 years from today. You plan to make equal, end-of-year deposits into an account paying 8% annual interest. a. How large must the annual deposits be to create the $290,000 fund by the end of 41 years? b. If you can afford to deposit only $800 per year into the account, how much will you have accumulated in 41 years?
(a) You deposit $135.29 monthly into an account paying 8.75% for 27 years. Find the future value of the annuity. Show your work in detail. (b) If you deposit $140 instead of $135.29 under the same circumstances how much more will your annuity be worth? Show your work in detail.
Suppose that an individual invests $2,500 at the end of each of the next 6 years and earns an annual interest rate of 8%. Calculate the present value of this series of annuity payments B)Suppose that an individual invests $2,500 at the beginning of each of the next 6 years and earns an annual interest rate of 8%. Calculate the value of this series of annuity payments. How does this result compare with the solution to Part A?