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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

Respuesta :

Answer:

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.