One math question

2013-11-29 9:37 pm
Suppose a person invests $20,000 in a business venture that guarantees the same cash flow at the end of every quarter for four years. If the investment earns interest at the rate of 16% compounded quarterly, then each cash flow is?
Ans:$1716.4

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Thank you.

回答 (1)

2013-11-30 7:39 am
✔ 最佳答案
The total value after 4 years= 20000 * (1 + 4%)^16= 37459.6249Let each cash flow is xx + x(1 + 4%) + ... + x(1 + 4%)^15 = 37459.6249x[(1.04)^16 - 1]/0.04 = 37459.624921.8245x = 37459.6249x = 1716.4


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