Suppose you invest semiannually for 25 years in an annuity that pays 5% interest, compounded semiannually. At the end of the 25 years, you have $500,000. How much of this total is interest? Enter your answer rounded to the nearest hundred dollars.

$354,500

Explanation:

First find the amount invested ie the Present Value as follows :

n = 25 × 2 = 50

i = 5%

P/yr = 2

Pmt = $0

Fv = $500,000

Pv = ?

Using a Financial Calculator to enter the amounts as above, the Present Value is $145,471

Total Interest = Future Value - Present Value

                      = $500,000 - $145,471

                      = $354,529

Thus interest is $354,500 (nearest hundred dollars).

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