When you retire at 65, you wish to be able to have $3,000 each month for 25 years. How much would you have to deposit into an account each month, starting when you are 23, if the account earns 7.6% compounded monthly?

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
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When you retire at 65, you wish to be able to have $3,000 each month for 25 years. How much would you have to deposit into an account each month, starting when you are 23, if the account earns 7.6% compounded monthly?

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Step 1

Firstly calculate the present value of annuity with $3000 as PMT and 25 years, use this present value as future value and compute for PMT

Present Value of annuity = PMT *  [(1 - 1 / (1 + r)^n)] / r 

Where, 

PMT = monthly payment 

r = rate of interest per period i.e. 7.6%/12 = 0.633%

n = no. of compounding period 25* 12 = 300

 

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