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Which of the following statements is CORRECT, assuming positive interest rates a

ID: 2719036 • Letter: W

Question

Which of the following statements is CORRECT, assuming positive interest rates and holding other things constant?

The present value of a 5-year, $250 annuity due will be lower than the PV of a similar ordinary annuity.

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.

A 30-year, $150,000 amortized mortgage will have larger monthly payments than an otherwise similar 20-year mortgage.

If an investment pays 10% interest, compounded annually, its effective annual rate will be less than 10%.

A bank loan's nominal interest rate will always be equal to or less than its effective annual rate.

A.

The present value of a 5-year, $250 annuity due will be lower than the PV of a similar ordinary annuity.

B.

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.

C.

A 30-year, $150,000 amortized mortgage will have larger monthly payments than an otherwise similar 20-year mortgage.

D.

If an investment pays 10% interest, compounded annually, its effective annual rate will be less than 10%.

E.

A bank loan's nominal interest rate will always be equal to or less than its effective annual rate.

Explanation / Answer

The correct answer is a

The present value of a 5-year, $250 annuity due will be lower than the PV of a similar ordinary annuity.

The present value of a 5-year, $250 annuity due will be lower than the PV of a similar ordinary annuity.

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