You and your friend are both 20 years of age.   You decide to invest $200/month for 15 years in an investment earning 6% annually (compounded monthly) and then you stop making contributions.  You then let the money sit and continue to compound for another 25 years.   Your friend waits 15 years and then begins investing $350/month for the next 25 years also in an investment earning 6% annually (compounding monthly). How much money did you invest into your portfolio?       $52,149     $36,000     $105,000     $58,163

EBK CONTEMPORARY FINANCIAL MANAGEMENT
14th Edition
ISBN:9781337514835
Author:MOYER
Publisher:MOYER
Chapter5: The Time Value Of Money
Section: Chapter Questions
Problem 22P
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  1. You and your friend are both 20 years of age.  

    You decide to invest $200/month for 15 years in an investment earning 6% annually (compounded monthly) and then you stop making contributions.  You then let the money sit and continue to compound for another 25 years.  

    Your friend waits 15 years and then begins investing $350/month for the next 25 years also in an investment earning 6% annually (compounding monthly).

    How much money did you invest into your portfolio?

     

       

    $52,149

       

    $36,000

       

    $105,000

       

    $58,163

Expert Solution
Introduction;

Monthly investment = $200

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

Money invested in portfolio = ?

 

Total investment in portfolio will be equal to sum of all the monthly investments.

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