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19 April, 14:26

Luis has $170,000 in his retirement account at his present company. Because he is assuming a position with another company, Luis is planning to "roll over" his assets to a new account. Luis also plans to put $2000/quarter into the new account until his retirement 30 years from now. If the new account earns interest at the rate of 4.5%/year compounded quarterly, how much will Luis have in his account at the time of his retirement

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  1. 19 April, 14:38
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    Luis will have $ 1,153,675.657524 in his account at the time of his retirement.

    Explanation:

    Acording to the data Luis has $170,000 in his retirement account

    His current account after 30 years at 4.5% compounded quarterly will be

    Current account = $ 170,000 (1 + (0.045/4)) ^ (4*30)

    Current account = $ 650,838.260724

    Acording to the data Luis also plans to put $2000/quarter into the new account until his retirement 30 years from now.

    The future value (FV) of the account will be

    FV = 2000[ (1 + (0.045/4)) ^ (4*30) - 1] / (0.045/4) 0.01125

    FV = $ 502,837.3968

    Therefore, to calculate how much will Luis have in his account at the time of his retirement we have to calculate the following:

    Total amount = Current account+FV

    Total amount = $ 650,838.260724 + $ 502,837.3968

    Total amount = $ 1,153,675.657524

    Luis will have $ 1,153,675.657524 in his account at the time of his retirement.
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