6. You plan to retire 40 years from now. Assume the following: you will live for 40 years after retirement, you would like to have an annual retirement income that is equivalent to $40,000 per year in today's dollars, your nominal annual rate of return on investment is 8% compounded monthly, and the effective annual rate of inflation will be 4%, how much money do you need to invest per month over the next 40 years in order to live such a life? Your money will remain in the same account during retirement, and your account balance will be zero after the 40-year retirement period. Ignore the effect of taxes.

6. You plan to retire 40 years from now. Assume the following: you will live for 40 years after retirement, you would like to have an annual retirement income that is equivalent to $40,000 per year in today's dollars, your nominal annual rate of return on investment is 8% compounded monthly, and the effective annual rate of inflation will be 4%, how much money do you need to invest per month over the next 40 years in order to live such a life? Your money will remain in the same account during retirement, and your account balance will be zero after the 40-year retirement period. Ignore the effect of taxes.

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

You would like to have $550,000 when you retire in 40 years. How much should you invest each quarter if you can earn a rate of 3.6% compounded quarterly?a) How much should you deposit each quarter?b) How much total money will you put into the account?c) How much total interest will you earn?
You would like to have 950,000 when you retire in 30 years. How much should you invest each quarter if you can earn a rate of 4.8% compounded quarterly? How much should you deposit each quarter? How much total money will you put into the account? How much total interest will you earn?
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?
When you retire, you wish to have $1 million in your retirement account. Currently, you have $100,000 in the account. If you can generate an annualized return of 12% from your investment, compounded monthly, how many years do you think it will take to have $1 million in the account? 11 years 231 years 19 years 53 years
You plan to retire in 20 years. You would like to maintain your current level of consumption which is $55,937 per year. You will need to have 38 years of consumption during your retirement. You can earn 5.52% per year (nominal terms) on your investments. In addition, you expect inflation to be 2.09% inflation per year, from now and through your retirement. How much do you have to invest each year, starting next year, for 13 years, in nominal terms to just cover your retirement needs?
1. You want to have an income of $50,000 per year in retirement, and you think you will be alive for 30 years in retirement. How much do you need to have invested the day you retire, in real dollars, assuming a 3% real rate of return?
You have 30 years left until retirement and want to retire with $1.5 million. Your salary is paid annually, and will receive $70,000 at the end of the current year. Your salary will increase at 3 percent per year, and you can earn an 10 percent return on the money you invest. If you save a constant percentage of your salary, what percentage of your salary must you save each year?
Suppose that you just turned 25, plan to retire at 65, and estimate that you will need $9,049 per month at the end of each month upon retirement for the next 30 years. How much do you need to contribute at the end of each month until you reach age 50? Assume your estimated return is 8.8% EAR, that you have $10,000 already invested, and the funds will continue to earn interest to age 65, even though you will not continue contributing after age 50.
a. You are planning for retirement, and would like to have $1,000,000 in the bank when you turn 65. (Assume that you just barely turned 25). How much should you deposit each month into an account earning 6% nominal interest per year, compounded monthly, to reach your goal? b. How much would you have to deposit each month, if the account earned 12% nominal interest per year, compounded monthly?
It has been proposed that in order to retire with the same lifestyle you currently have, you will need to have at least 1.5 million dollars saved by retirement. How much would you have to invest right now in order to achieve your goal? Assume you can find an investment that pays 5.6% compounded monthly. You're current age is 30 and youwould like to retire in 35 years. 2. What interest rate would you need in order to reach this goal if you had $8000 to invest?
Suppose you are planning for retirement. At thebeginning of this year and each of the next 39 years,you plan to contribute some money to your retirementfund. Each year, you plan to increase your retirement contribution by $500. When you retire in 40years, you plan to withdraw $100,000 at the beginning of each year for the next 20 years. You assumethe following about the yields of your retirementinvestment portfolio:■ During the first 20 years, your investments willearn 10% per year.■ During all other years, your investments will earn5% per year.All contributions and withdrawals occur at thebeginnings of the respective years.a. Given these assumptions, what is the least amountof money you can contribute this year and stillhave enough to make your retirement withdrawals?b. How does your answer change if inflation is 2%per year and your goal is to withdraw $100,000 peryear (in today’s dollars) for 20 years?
You are trying to decide how much to save for retirement. Assume you plan to save $4,000 per year with the first investment made one year from now. You think you can earn 10.5% per year on your investments and you plan to retire in 36 years, immediately after making your last $4,000 investment. a. How much will you have in your retirement account on the day you retire? b. If, instead of investing $4,000 per year, you wanted to make one lump-sum investment today for your retirement that will result in the same retirement saving, how much would that lump sum need to be? c. If you hope to live for 28 years in retirement, how much can you withdraw every year in retirement (starting one year after retirement) so that you will just exhaust your savings with the 28th withdrawal (assume your savings will continue to earn 10.5% in retirement)? d. If, instead, you decide to withdraw $270,000 per year in retirement (again with the first withdrawal one year after retiring), how many years will it…

SEE MORE QUESTIONS

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