You want to have $300,000 in 15 years.  You want to know how much you need to invest each month at an annual 5% growth rate (compounded monthly) to achieve that number?     $704     $1,584     $1,122     $978

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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  1. You want to have $300,000 in 15 years.  You want to know how much you need to invest each month at an annual 5% growth rate (compounded monthly) to achieve that number?

       

    $704

       

    $1,584

       

    $1,122

       

    $978

Expert Solution
Introduction;

Amount required or accumulated value (AV) = $300,000

Monthly interest rate (r) = 0.00416666666666667 (i.e. 0.05 / 12)

Monthly period (n) = 180 (i.e. 15 years * 12)

Amount need to invest each month (m) = ?

 

Accumulated value is the compounded value of all the future cash flows using appropriate interest rate.

We will use future value of ordinary annuity formula.

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