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26 November, 04:12

You are comparing two investment options that each pay 6 percent interest, compounded annually. Both options will provide you with $12,000 of income. Option A pays $2,000 the first year followed by two annual payments of $5,000 each. Option B pays three annual payments of $4,000 each. Which one of the following statements is correct given these two investment options? Assume a positive discount rate. Both options are of equal value since they both provide $12,000 of income.  A) Option A has the higher future value at the end of year three. B) Option B has a higher present value at time zero. C) Option B is a perpetuity. D) Option A is an annuity.

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  1. 26 November, 04:30
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    The correct answer is B) Option B has a higher present value at time zero.

    Explanation:

    We use spreadsheets to compare both options.

    We have to calculate

    future value present value

    Option A

    Net Present Value (NPV) 10534,87

    Future value 12.547

    Option B

    Net Present Value (NPV) 10692,05 is higher than option A

    Future value 12.734 is higher than option A
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