A woman desires to have $400,000 in a savings account when she retires in 20 years. Because of the effects of inflation on spending power, she stipulates that her future “nest egg” will be equivalent to $400,000 in today’s purchasing power. If the expected average inflation rate is 7% per year and the savings account earns 5% per year, what lump-sum amount of money should the woman deposit now in her savings account?

A woman desires to have $400,000 in a savings account when she retires in 20 years. Because of the effects of inflation on spending power, she stipulates that her future “nest egg” will be equivalent to $400,000 in today’s purchasing power. If the expected average inflation rate is 7% per year and the savings account earns 5% per year, what lump-sum amount of money should the woman deposit now in her savings account?

EBK CONTEMPORARY FINANCIAL MANAGEMENT

14th Edition

ISBN:9781337514835

Author:MOYER

Publisher:MOYER

Chapter5: The Time Value Of Money

Section: Chapter Questions

Problem 35P

See similar textbooks

Similar questions

Shelly Franks is planning for her retirement, so she is setting up a payout annuity with her bank. She is now 35 years old, and she will retire when she is 65. She wants to receive annual payouts for twenty years, and she wants those payouts to receive an annual COLA of 4%. (a) She wants her first payout to have the same purchasing power as does $17,000 today. How big should that payout be if she assumes inflation of 4% per year? (b) How much money must she deposit when she is 65 if her money earns 8.3% interest per year? (c) How large a monthly payment must she make if she saves for her payout annuity with an ordinary annuity? (The two annuities pay the same interest rate.) (d) How large a monthly payment would she make if she waits until she is 40 before starting her ordinary annuity?
In our prior example, you need to have about $4,000,000 in savings at the age of 60 to fund retirement withdrawals that start at $250,000 on your 61st birthday, grow at 3% (the assumed inflation rate), and last for 35 years (i.e., from 61 to 95). You are currently 30 years old and have received an inheritance from your rich aunt. You have no savings. As in the prior example, assume that you will earn 8% per year on your investments. How large does the inheritance need to be to completely fund your retirement plan, which requires savings of $4,000,000 on your 60th birthday? $400,000 $500,000 $700,000 $600,000 $800,000
A grandfather is planning to leave his only granddaughter well off when she reaches the age of 25. He plans to deposit a lump sum now, which is her second birthday, such that she will have enough money to live comfortably without working. He wants her to have an amount that would have the same purchasing power as $2 million today. If he can invest the money now and earn an average market interest rate of 8% per year while the inflation rate averages 4% per year, what amount must he deposit?
You are saving for retirement. To live comfortably, you decide you will need to save $1 million by the time you are 65. Today is your 22nd birthday, and you decide, starting today and continuing on every birthday up to and including your 65th birthday, that you will put the same amount into a savings account. If the interest rate is 4%, how much must you set aside each year to make sure that you will have $1 million in the account on your 65th birthday?
You are saving for retirement. To live comfortably, you decide you will need to save $1 million by the time you are 65. Today is your 31st birthday, and you decide, starting today and continuing on every birthday up to and including your 65th birthday, that you will put the same amount into a savings account. If the interest rate is 9%, how much must you set aside each year to make sure that you will have $1 million in the account on your 65th birthday? $0 The amount to deposit each year is $ (Round to the nearest dollar.) et more help Clear all
You are saving for retirement. To live comfortably, you decide you will need to save $2,500,000 by the time you are 65. Today is your 32nd birthday, and you decide, starting today and continuing on every birthday up to and including your 65th birthday, that you will put the same amount into a savings account. If the interest rate is 7%, how much must you set aside each year to make sure that you will have $ 2,500,000 in the account on your 65th birthday? The amount to deposit each year must be $
Suppose you are 20 years old and plan to retire at exactly 60 years old. you will need to withdraw $5,000 per year from a retirement fund to supplement your social security payments. You expect to live to the age of 85. How much money should you place in the retirement fund each year to reach your retirement goal if you can earn 12% interest per year from the fund?
Suppose you plan to retire at age 70, and you want to be able to withdraw an amount of $60,000 per year on each birthday from age 70 to age 100 (a total of 31 withdrawals). If the account which contains your savings earns 6.6% per year simple interest, how much money needs to be in the account by the time you reach your 70th birthday?
You are saving for retirement. To live comfortably, you decide you will need to save $4 million by the time you are 65. Today is your 22nd birthday, and you decide, starting today and continuing on every birthday up to and including your 65th birthday, that you will put the same amount into a savings account. If the interest rate is 6%, how much must you set aside each year to make sure that you will have $4 million in the account on your 65th birthday? The amount to deposit each year is $_________________ (Round to the nearest dollar.)
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 plan to retire when you are 67 years old. You plan to start saving money for retirement, via RRSP when you are 25 years old. Your RRSP will pay an average of 7% per year After you retire when you are 68 years old you plan to withdraw $31,000/year for 32 years. How much money would you need to have saved in your bank account by the time you turn 67 so you can receive payments of $31,000/year? Choose the range which is most accurate. O a. $403,000 - $406,000 O b. $406,000 - $409,000 O c. $412,000 - $415,000 d. NONE of the RANGES are CORRECT e. $400,000-$403,000
Suppose that Kate is 45 years old and has no retirement savings. She wants to begin saving for retirement, with the first payment coming one year from now. She can save $20,000 per year and will invest that amount in the stock market, where it is expected to yield an average annual return of 5.00% return. Assume that this rate will be constant for the rest of her's life. In short, this scenario fits all the criteria of an ordinary annuity. Kate would like to calculate how much money she will have at age 60. Use the following table to indicate which values you should enter on your financial calculator. For example, if you are using the value of 1 for N, use the selection list above N in the table to select that value. Input Keystroke Output N Input Keystroke N Output I/Y Using a financial calculator yields a future value of this ordinary annuity to be approximately Kate would now like to calculate how much money she will have at age 65. Input Keystroke N Output Use the following table…