# Fin 534/Fin534 Week 4 Quiz 3 (All Correct)

Question 1 Which of the following statements is CORRECT? Answer If some cash flows occur at the beginning of the periods while others occur at the ends, then we have what the textbook defines as a variable annuity. The cash flows for an ordinary (or deferred) annuity all occur at the beginning of the periods. If a series of unequal cash flows occurs at regular intervals, such as once a year, then the series is by definition an annuity. The cash flows for an annuity due must all occur at the ends of the periods. The cash flows for an annuity must all be equal, and they must occur at regular intervals, such as once a year or once a month. 4 points Question 2 Your bank offers a 10-year certificate of deposit (CD) that pays 6.5% interest, compounded annually. If you invest \$2,000 in the CD, how much will you have when it matures? Answer \$3,754.27 \$3,941.99 \$4,139.09 \$4,346.04 \$4,563.34 4 points Question 3 You are considering two equally risky annuities, each of which pays \$15,000 per year for 20 years. Investment ORD is an ordinary (or deferred) annuity, while Investment DUE is an annuity due. Which of the following statements is CORRECT? Answer 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. 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. 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. The present value of ORD exceeds the present value of DUE, and the future value of ORD also exceeds the future value of DUE. The present value of DUE exceeds the present value of ORD, and the future value of DUE also exceeds the future value of ORD. 4 points Question 4 Which of the following statements is CORRECT, assuming positive interest rates and holding other things constant? Answer Banks A and B offer the same nominal annual rate of interest, but A pays interest quarterly and B pays semiannually. Deposits in Bank B will provide the higher future value if you leave your funds on deposit. The present value of a 5-year, \$250 annuity due will be lower than the PV of a similar ordinary annuity. A 30-year, \$150,000 amortized mortgage will have larger monthly payments than an otherwise similar 20-year mortgage. A bank loan’s nominal interest rate will always be equal to or greater than its effective annual rate. If an investment pays 10% interest, compounded quarterly, its effective annual rate will be greater than 10%. 4 points Question 5 You are considering two equally risky annuities, each of which pays \$25,000 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? Answer 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. A rational investor would be willing to pay more for DUE than for ORD, so their market prices should differ. 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. The present value of ORD exceeds the present value of DUE, and the future value of ORD also exceeds the future value of DUE. The present value of ORD exceeds the present value of DUE, while the future value of DUE exceeds the future value of ORD. 4 points Question 6 How much would Roderick have after 6 years if he has \$500 now and leaves it invested at 5.5% with annual compounding? Answer \$591.09 \$622.20 \$654.95 \$689.42 \$723.89 4 points Question 7 You plan to analyze the value of a potential investment by calculating the sum of the present values of its expected cash flows. Which of the following would increase the calculated value of the investment? Answer The discount rate increases. The cash flows are in th…

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