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8) ( 10 pts) Find the future value of an annuity which pays $ 1000 at the end of each year for 20 years if the simple rate of interest is 4 % .

1 Answer

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Answer:

$20,590.


Explanation:

To find the future value of an annuity that pays $1000 at the end of each year for 20 years with a simple interest rate of 4%, we can use the formula for the future value of an annuity:

Future Value = Payment x [(1 + Interest Rate)^Number of Periods - 1] / Interest Rate In this case, the payment is $1000, the interest rate is 4%, and the number of periods is 20 years. Plugging these values into the formula: Future Value = $1000 x [(1 + 0.04)^20 - 1] / 0.04 Using a calculator or spreadsheet, we can evaluate the expression inside the brackets first: Future Value = $1000 x [(1.04)^20 - 1] / 0.04 Future Value = $1000 x [1.824 - 1] / 0.04 Future Value = $1000 x 0.824 / 0.04 Future Value = $20,590 Therefore, the future value of the annuity that pays $1000 at the end of each year for 20 years with a simple interest rate of 4% is $20,590.

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