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26 October, 08:46

An investment will pay $100 at the end of each of the next 3 years, $200 at the end of Year 4, $300 at the end of Year 5, and $600 at the end of Year 6. If other investments of equal risk earn 7% annually, what is its present value? Round your answer to the nearest cent. $ If other investments of equal risk earn 7% annually, what is its future value? Round your answer to the nearest cent.

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  1. 26 October, 12:00
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    present value $ 1,026.16

    future value $ 1,539.98

    Explanation:

    Present Value = $ 100 * 1 / (1.07) ^ 1 + $ 100 * 1 / (1.07) ^ 2 + $ 100 * 1 / (1.07) ^3 + $ 200 * 1 / (1.07) ^4 + $ 300 * 1 / (1.07) ^5 + $ 600 * 1 / (1.07) ^6

    =93.45 + 87.34+81.62+152.20+213.23+398.32

    = $ 1,026.16

    therefore, the correct value is $ 1,026.16

    b. Future Value = Present Value * (1 + Rate of Interest) ^ Time

    = $ 1,175.63 * (1+0.07) ^ 6

    = $ 1,539.98

    Hence the correct answer is $ 1,539.98
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