You are trying to calculate how much money you should have at retirement. On your 60th birthday you will retire and immediately make your first withdrawal of $4,482.06. You plan to make 24 such withdrawals each year. You plan to continue withdrawing at that level and frequency until you are 90 years old. (Assume beginning of period withdrawals with the first withdrawal on your retirement date and no withdrawal on your final birthday.) During retirement your savings will earn only 3.5% per annum. How much do you have to have saved at retirement to fund these planned withdrawals?

You are trying to calculate how much money you should have at retirement. On your 60th birthday you will retire and immediately make your first withdrawal of $4,482.06. You plan to make 24 such withdrawals each year. You plan to continue withdrawing at that level and frequency until you are 90 years old. (Assume beginning of period withdrawals with the first withdrawal on your retirement date and no withdrawal on your final birthday.) During retirement your savings will earn only 3.5% per annum. How much do you have to have saved at retirement to fund these planned withdrawals?

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

See similar textbooks

Similar questions

This is a classic retirement problem. A friend is celebrating her birthday and wants to start saving for her anticipated retirement. She has the following years to retirement and retire- ment spending goals: Years until retirement: Amount to withdraw each year: Years to withdraw in retirement: Interest rate: 30 $90,000 20 8% Because your friend is planning ahead, the first withdrawal will not take place until one year after she retires. She wants to make equal annual deposits into her account for her retirement fund. a. If she starts making these deposits in one year and makes her last deposit on the day she retires, what amount must she deposit annually to be able to make the desired withdrawals at retirement?
I want to be able to withdraw $40,000 from my account each year for 30 years after I retire. I expect to retire in 15 years. If my account earns 4% interest, how much will I need to deposit each year until retirement to achieve my goals?
Your retirement account has a current balance of $3, 123. What interest rate would need to be earned in order to accumulate a total of $5,000,000 in 24 years by adding $3,123 annually? Is this possible? Why or why not?
You want to start saving for retirement by opening an RRSP account. You have no savings yet but that's okay because you are still young. You plan to retire in 30 years. Upon retirement, you would like to be able to spend $120,000 a year for 20 years. You fund this spending by making beginning of month withdrawals that are the same amount (size) every month. The first withdrawal occurs once you begin your retirement in 30 years. The last withdrawal occurs at the beginning of the last month of your retirement horizon. How much do you need to deposit at the end of each month for the next 30 years in order to achieve your retirement objective? Your RRSP account pays 7.7% p.a. compounded semi-annually during both savings and retirement periods.
A 30 year - old person plans to retire at 64 and live until 92. During retirement, the person will take a growing annuity from the retirement account. The amount in the first year will be $90,000 with a 2% growth rate. The return on savings before retirement is 9%, an after retirement is 6%. Initial savings are zero, and the person does not want to leave a legacy at the time of death. How much must the person save per year before retirement to achieve this goal?
As part of your retirement plan, you have decided to deposit $9,000 at the beginning of each year into an account paying 3% interest compounded annually. (Round your answers to the nearest cent.) (a) How much (in $) would the account be worth after 10 years? $ (b) How much (in $) would the account be worth after 20 years? $ (c) When you retire in 30 years, what will be the total worth (in $) of the account? $ (d) If you found a bank that paid 6% interest compounded annually rather than 3%, how much (in $) would you have in the account after 30 years? $ (e) Use the future value of an annuity due formula to calculate how much (in $) you would have in the account after 30 years if the bank in part (d) switched from annual compounding to monthly compounding and you deposited $750 at the beginning of each month instead of $9,000 at the beginning of each year. $ Submit Ancworl
You want to be able to withdraw S30, 000 from your account each year for 30 years after you retire.You expect to retire in 25 years.If your account earns 7% interest, how much will you need to deposit each year until retirement to achieve your retirement goals?
After learning about the time value of money, you decided to open a retirement account. You will invest $475 each month. It earns an annual interest rate of 10.8% per year. Your first deposit will be made one month from now. What is the value of your account in 33 years? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) Retirement account value

Recommended textbooks for you

Essentials Of Investments

Finance

ISBN:

9781260013924

Author:

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

Publisher:

Mcgraw-hill Education,

FUNDAMENTALS OF CORPORATE FINANCE

Finance

ISBN:

9781260013962

Author:

BREALEY

Publisher:

RENT MCG

Financial Management: Theory & Practice

Finance

ISBN:

9781337909730

Author:

Brigham

Publisher:

Cengage

Foundations Of Finance

Finance

ISBN:

9780134897264

Author:

KEOWN, Arthur J., Martin, John D., PETTY, J. William

Publisher:

Pearson,

Fundamentals of Financial Management (MindTap Cou…

Finance

ISBN:

9781337395250

Author:

Eugene F. Brigham, Joel F. Houston

Publisher:

Cengage Learning

Corporate Finance (The Mcgraw-hill/Irwin Series i…

Finance

ISBN:

9780077861759

Author:

Stephen A. Ross Franco Modigliani Professor of Financial Economics Professor, Randolph W Westerfield Robert R. Dockson Deans Chair in Bus. Admin., Jeffrey Jaffe, Bradford D Jordan Professor

Publisher:

McGraw-Hill Education

Essentials Of Investments

Finance

ISBN:

9781260013924

Author:

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

Publisher:

Mcgraw-hill Education,

FUNDAMENTALS OF CORPORATE FINANCE

Finance

ISBN:

9781260013962

Author:

BREALEY

Publisher:

RENT MCG

Financial Management: Theory & Practice

Finance

ISBN:

9781337909730

Author:

Brigham

Publisher:

Cengage

Foundations Of Finance

Finance

ISBN:

9780134897264

Author:

KEOWN, Arthur J., Martin, John D., PETTY, J. William

Publisher:

Pearson,

Fundamentals of Financial Management (MindTap Cou…

Finance

ISBN:

9781337395250

Author:

Eugene F. Brigham, Joel F. Houston

Publisher:

Cengage Learning

Corporate Finance (The Mcgraw-hill/Irwin Series i…

Finance

ISBN:

9780077861759

Author:

Stephen A. Ross Franco Modigliani Professor of Financial Economics Professor, Randolph W Westerfield Robert R. Dockson Deans Chair in Bus. Admin., Jeffrey Jaffe, Bradford D Jordan Professor

Publisher:

McGraw-Hill Education

SEE MORE TEXTBOOKS