1. Which of the following investments would have the highest future value at the end of 10 years? Assume that the effective annual rate for all investments is the same and is greater than zero.
a. Investment A pays $250 at the beginning of every year for the next 10 years (a total of 10 payments).
b. Investment B pays $125 at the end of every 6-month period for the next 10 years (a total of 20 payments).
c. Investment C pays $125 at the beginning of every 6-month period for the next 10 years (a total of 20 payments).
d. Investment D pays $2,500 at the end of 10 years (just one payment).
e. Investment E pays $250 at the end of every year for the next 10 years (a total of 10 payments)
2. You are considering two equally risky annuities, each of which pays $5,000 per year for 10 years. Investment ORD is an ordinary (or deferred) annuity, while Investment DUE is an annuity due. Which of the following statements is CORRECT?
a. The present value of ORD must exceed the present value of DUE, but the future value of ORD may be less than the future value of DUE.
b. The present value of DUE exceeds the present value of ORD, while the future value of DUE is less than the future value of ORD.
c. The present value of ORD exceeds the present value of DUE, and the future value of ORD also exceeds the future value of DUE.
d. The present value of DUE exceeds the present value of ORD, and the future value of DUE also exceeds the future value of ORD.
e. If the going rate of interest decreases from 10% to 0%, the difference between the present value of ORD and the present value of DUE would remain constant.