You are trying to plan for retirement in 10 years and currently you have $150,000 in a savings account and $250,000 in stocks. In addition, you plan to deposit $8,000 per year into your savings account at the end of each of the next five years, and then $10,000 per year at the end of each year for the final five years until you retire. a. Assuming your savings account returns 8 percent compounded annually, and your investment in stocks will return 12 percent compounded annually, how much will you have at the end of 10 years? b. If you expect to live for 20 years after you retire, and at retirement you deposit all of your savings in a bank account paying 11 percent, how much can you withdraw each year after you retire (making 20 equal withdrawals beginning one year after you retire) so that you end up with a zero balance at death?

You are trying to plan for retirement in 10 years and currently you have $150,000 in a savings account and $250,000 in stocks. In addition, you plan to deposit $8,000 per year into your savings account at the end of each of the next five years, and then $10,000 per year at the end of each year for the final five years until you retire. a. Assuming your savings account returns 8 percent compounded annually, and your investment in stocks will return 12 percent compounded annually, how much will you have at the end of 10 years? b. If you expect to live for 20 years after you retire, and at retirement you deposit all of your savings in a bank account paying 11 percent, how much can you withdraw each year after you retire (making 20 equal withdrawals beginning one year after you retire) so that you end up with a zero balance at death?

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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You are planning your retirement in 10 years. You currently have $161,000 in a bond account and $601,000 in a stock account. You plan to add $7,900 per year at the end of each of the next 10 years to your bond account. The stock account will earn a return of 10.75 percent and the bond account will earn a return of 7.25 percent. When you retire, you plan to withdraw an equal amount for each of the next 24 years at the end of each year and have nothing left. Additionally, when you retire you will transfer your money to an account that earns 6.5 percent. How much can you withdraw each year in your retirement? Note: Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16. Annual withdrawal amount $ 188,765.43
Your first deposit of $5,000 will be made today. You also plan to make four additional deposits at the beginning of each of the next four years. Your plan is to increase your deposits by 10% a year. (That is, you plan to deposit $5,500 at t = 1, and $6,050 at t = 2, etc.) Your deposits earn a 14% return. What is the present value today of all the deposits you have made?
You plan to invest $13223 into an investment that you hope will earn a return of 10.28 % . You will withdraw your money in 24 years. How much will you withdraw?
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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?
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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 7% per year on your investments and you plan to retire in 41 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 27 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 27th withdrawal (assume your savings will continue to earn 7% in retirement)? d. If, instead, you decide to withdraw $70,000 per year in retirement (again with the first withdrawal one year after retiring), how many years will it take…

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