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alexira
2 months ago
5

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
Business
1 answer:
Free_Kalibri [3.7K]2 months ago
4 0

Response:

At the time of retirement, Luis will possess $ 1,153,675.657524 in his retirement account.

Reasoning:

Luis currently has $170,000 in his retirement fund

After compounding at 4.5% quarterly for 30 years, his account will grow to

Account balance = $ 170,000(1 + (0.045/4))^(4*30)

Account balance = $ 650,838.260724

Moreover, Luis intends to contribute $2000 each quarter into the new account for the next 30 years prior to retirement.

The future value (FV) of this account is calculated as

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

FV = $ 502,837.3968

To determine Luis’s total balance at retirement, we calculate the following:

Total amount = Account balance + FV

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

Total amount = $ 1,153,675.657524

Luis will have $ 1,153,675.657524 in his retirement account.

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- Variable cost per unit       $88

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Contribution margin per Unit           100    

Break even Point (Units)               400,000

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Total New fixed cost                          45,000,000

Contribution margin per unit                   100      

Break even point (units)                      450,000

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New Fixed Cost                45,000,000

Desired Income                60,000,000

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Contribution margin                100        

per unit

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