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.   1.) Both options are of equal value since they both provide $12,000 of income. 2.) Option A has the higher future value at the end of Year 3. 3.) Option B has a higher present value at Time 0. 4.) Option B is a perpetuity. 5.) Option A is an annuity.

EBK CONTEMPORARY FINANCIAL MANAGEMENT
14th Edition
ISBN:9781337514835
Author:MOYER
Publisher:MOYER
Chapter5: The Time Value Of Money
Section: Chapter Questions
Problem 22P
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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.

 

1.) Both options are of equal value since they both provide $12,000 of income.

2.) Option A has the higher future value at the end of Year 3.

3.) Option B has a higher present value at Time 0.

4.) Option B is a perpetuity.

5.) Option A is an annuity.

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