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 7.0​% per year on your investments and you plan to retire in   29 ​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 7.0​% in​ retirement)?

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
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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
7.0​%
per year on your investments and you plan to retire in  
29
​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
7.0​%
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 until you exhaust your​ savings? (Use​ trial-and-error, a financial​ calculator: solve for​ "N", or​ Excel: function​ NPER)
e. Assuming the most you can afford to save is
$800
per​ year, but you want to retire with
$1,000,000
in your investment​ account, how high of a return do you need to earn on your​ investments? (Use​ trial-and-error, a financial​ calculator: solve for the interest​ rate, or​ Excel: function​ RATE)
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