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25 August, 14:20

An investment will pay $200 at the end of each of the next 3 years, $300 at the end of Year 4, $500 at the end of Year 5, and $800 at the end of Year 6. If other investments of equal risk earn 5% annually, what is its present value? Round your answer to the nearest cent. $ 2255.30 What is its future value? Round your answer to the nearest cent. $ 3022.32

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  1. 25 August, 14:44
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    Present value = $1,780.20

    Future value = $2,385.64

    Explanation:

    Years Annual cash flows Discount factor @5% Present value

    1 $200.00 0.9523809524 $190.48

    2 $200.00 0.9070294785 $181.41

    3 $200.00 0.8638375985 $172.77

    4 $300.00 0.8227024748 $246.81

    5 $500.00 0.7835261665 $391.76

    6 $800.00 0.7462153966 $596.97

    Present value $1,780.20

    Now the future value is

    Future value = Present value * (1 + interest rate) ^number of years

    = $1,780.20 * (1 + 0.05) ^6

    = $1,780.20 * 1.3400956406

    = $2,385.64
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