Exam 5: Time Value of Money

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Suppose a State of New York bond will pay $1,000 ten years from now.If the going interest rate on these 10-year bonds is 5.5%,how much is the bond worth today?

(Multiple Choice)
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Disregarding risk,if money has time value,it is impossible for the future value of a given sum to exceed its present value.

(True/False)
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Which of the following statements is CORRECT?

(Multiple Choice)
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Suppose Sally Smith plans to invest $1,000.She can earn an effective annual rate of 5% on Security A,while Security B has an effective annual rate of 12%.After 11 years,the compounded value of Security B should be more than twice the compounded value of Security A.(Ignore risk,and assume that compounding occurs annually.)

(True/False)
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Charter Bank pays a 4.50% nominal rate on deposits,with monthly compounding.What effective annual rate (EFF%)does the bank pay?

(Multiple Choice)
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Suppose Randy Jones plans to invest $1,000.He can earn an effective annual rate of 5% on Security A,while Security B has an effective annual rate of 12%.After 11 years,the compounded value of Security B should be somewhat less than twice the compounded value of Security A.(Ignore risk,and assume that compounding occurs annually.)

(True/False)
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Suppose Community Bank offers to lend you $10,000 for one year at a nominal annual rate of 8.00%,but you must make interest payments at the end of each quarter and then pay off the $10,000 principal amount at the end of the year.What is the effective annual rate on the loan?

(Multiple Choice)
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Suppose a State of California bond will pay $1,000 eight years from now.If the going interest rate on these 8-year bonds is 5.5%,how much is the bond worth today?

(Multiple Choice)
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You have a chance to buy an annuity that pays $5,000 at the beginning of each year for 5 years.You could earn 4.5% on your money in other investments with equal risk.What is the most you should pay for the annuity?

(Multiple Choice)
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The payment made each period on an amortized loan is constant,and it consists of some interest and some principal.The closer we are to the end of the loan's life,the greater the percentage of the payment that will be a repayment of principal.

(True/False)
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If a bank compounds savings accounts quarterly,the effective annual rate will exceed the nominal rate.

(True/False)
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Time lines can be constructed for annuities where the payments occur at either the beginning or the end of the periods.

(True/False)
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Your child's orthodontist offers you two alternative payment plans.The first plan requires a $4,000 immediate up-front payment.The second plan requires you to make monthly payments of $137.41,payable at the end of each month for 3 years.What nominal annual interest rate is built into the monthly payment plan?

(Multiple Choice)
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What is the PV of an ordinary annuity with 5 payments of $4,700 if the appropriate interest rate is 4.5%?

(Multiple Choice)
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What's the present value of $1,525 discounted back 5 years if the appropriate interest rate is 6%,compounded monthly?

(Multiple Choice)
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All other things held constant,the present value of a given annual annuity decreases as the number of periods per year increases.

(True/False)
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Suppose you have $1,500 and plan to purchase a 5-year certificate of deposit (CD)that pays 3.5% interest,compounded annually.How much will you have when the CD matures?

(Multiple Choice)
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Which of the following statements is CORRECT?

(Multiple Choice)
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As a result of compounding,the effective annual rate on a bank deposit (or a loan)is always equal to or greater than the nominal rate on the deposit (or loan).

(True/False)
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​What's the rate of return you would earn if you paid $950 for a perpetuity that pays $85 per year?

(Multiple Choice)
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