Robert hitchcock is 40 years old today and he wishes to accumulate $500,000 by his 65th birthday so he can retire to his summer place on lake hopatcong. he wishes to accumulate this amount by making equal deposits on his 40th through his 64th birthdays. what annual deposit must robert make if the fund will earn 12% interest compounded annually?

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Smarty

30 July, 02:11

Robert hitchcock is 40 years old today and he wishes to accumulate $500,000 by his 65th birthday so he can retire to his summer place on lake hopatcong. he wishes to accumulate this amount by making equal deposits on his 40th through his 64th birthdays. what annual deposit must robert make if the fund will earn 12% interest compounded annually?

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Sumo · Answer 1

The problem wants to find out the cash flow per period that Robert will make from his 40th birthday until his 65th birthday. We know that he wants to get $500,000 by his 65th birthday thus this is the future value of his money. To solve for the cash flow per period, the equation is Future value = Annuity * [ ((1+i) ^n-1) / i]. The n is the number of payments Robert would make which is 25. The answer would be $3749.98.