Exam 4: Time Value of Money

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Suppose a State of North Carolina 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?

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Your sister paid $10,000 (CF at t = 0) for an investment that promises to pay $750 at the end of each of the next 5 years, then an additional lump sum payment of $10,000 at the end of the 5th year. What is the expected rate of return on this investment?

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Of the following investments, which would have the lowest present value? Assume that the effective annual rate for all investments is the same and is greater than zero.

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Some of the cash flows shown on a time line can be in the form of annuity payments while others can be uneven amounts.

(True/False)
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The going rate of interest on a 5-year treasury bond is 4.25%. You have one that will pay $2,500 five years from now. How much is the bond worth today?

(Multiple Choice)
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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?

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When a loan is amortized, a relatively high percentage of the payment goes to reduce the outstanding principal in the early years, and the principal repayment's percentage declines in the loan's later years.

(True/False)
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You are hoping to buy a new boat 3 years from now, and you plan to save $4,200 per year, beginning one year from today. You will deposit your savings in an account that pays 5.2% interest. How much will you have just after you make the 3rd deposit, 3 years from now?

(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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A U.S. Treasury bond will pay a lump sum of $1,000 exactly 3 years from today. The nominal interest rate is 6%, semiannual compounding. Which of the following statements is CORRECT?

(Multiple Choice)
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A time line is meaningful even if all cash flows do not occur annually.

(True/False)
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Ten years ago, Kronan Corporation earned $0.50 per share. Its earnings this year were $2.20. What was the growth rate in earnings per share (EPS) over the 10-year period?

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

(Multiple Choice)
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The present value of a future sum decreases as either the discount rate or the number of periods per year increases, other things held constant.

(True/False)
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The present value of a future sum increases as either the discount rate or the number of periods per year increases, other things held constant.

(True/False)
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Your Green Investment Tips subscription is about to expire. You plan to subscribe to the magazine for the rest of your life, and you can renew it by paying $85 annually, beginning immediately, or you can get a lifetime subscription for $850, also payable immediately. Assuming that you can earn 6.0% on your funds and that the annual renewal rate will remain constant, how many years must you live to make the lifetime subscription the better buy?

(Multiple Choice)
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You plan to work for Strickland Corporation for 12 years after graduation and after that want to start your own business. You expect to save and deposit $7,500 a year for the first 6 years (t = 1 through t = 6) and $15,000 annually for the following 6 years (t = 7 through t = 12). The first deposit will be made a year from today. In addition, your grandmother just gave you a $25,000 graduation gift that you will deposit immediately (t = 0). If the account earns 9% compounded annually, how much will you have when you start your business 12 years from now?

(Multiple Choice)
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Southwestern Bank offers to lend you $50,000 at a nominal rate of 6.5%, compounded monthly. The loan (principal plus interest) must be repaid at the end of the year. Woodburn Bank also offers to lend you the $50,000, but it will charge an annual rate of 7.0%, with no interest due until the end of the year. How much higher or lower is the effective annual rate charged by Woodburn versus the rate charged by Southwestern?

(Multiple Choice)
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You have $5,000 invested in a bank that pays 3.8% annually. How long will it take for your funds to triple?

(Multiple Choice)
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