Exam 5: Time Value of Money

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Find the future value at the end of year 3 of the following stream of cash flows received at the end of each year, assuming the firm can earn 17 percent on its investments. Find the future value at the end of year 3 of the following stream of cash flows received at the end of each year, assuming the firm can earn 17 percent on its investments.

(Multiple Choice)
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The nominal and effective rates are equivalent for annual compounding.

(True/False)
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Rita borrows $4,500 from the bank at 9 percent annually compounded interest to be repaid in three equal annual installments. The interest paid in the third year is ________.

(Multiple Choice)
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The annual percentage rate (APR) is the nominal rate of interest, found by multiplying the periodic rate by the number of periods in one year.

(True/False)
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The effective rate of interest and compounding frequency are inversely related.

(True/False)
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You have provided your friend with a service worth $8,500. Your friend offers you the following cash flow instead of paying $8,500 today. Should you accept his offer if your opportunity cost is 8 percent? You have provided your friend with a service worth $8,500. Your friend offers you the following cash flow instead of paying $8,500 today. Should you accept his offer if your opportunity cost is 8 percent?

(Essay)
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Find the present value of the following stream of cash flows, assuming that the firm's opportunity cost is 25 percent. Find the present value of the following stream of cash flows, assuming that the firm's opportunity cost is 25 percent.

(Multiple Choice)
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When computing an interest or growth rate, the rate will increase the smaller the future value, holding present value and the number of periods constant.

(True/False)
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What is the highest effective rate attainable with a 12 percent nominal rate?

(Multiple Choice)
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Dorothy borrows $10,000 from the bank. For a four-year loan, the bank requires annual end-of-year payments of $3,223.73. The annual interest rate on the loan is

(Multiple Choice)
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Dan and Jia are newlyweds and have just purchased a condominium for $70,000. Since the condo is very small, they hope to move into a single-family house in 5 years. How much will their condo worth in 5 years if inflation is expected to be 8 percent?

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The effective annual rate increases with increasing compounding frequency.

(True/False)
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The future value of $100 received today and deposited in an account for four years paying semiannual interest of 6 percent is

(Multiple Choice)
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What effective annual rate of return (EAR) would Rayne need to earn if she deposits $1,000 per month into an account beginning one month from today in order to have a total of $1,000,000 in 30 years?

(Multiple Choice)
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Find the present value of the following stream of cash flows, assuming that the firm's opportunity cost is 14 percent. Find the present value of the following stream of cash flows, assuming that the firm's opportunity cost is 14 percent.

(Multiple Choice)
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A college received a contribution to its endowment fund of $2 million. They can never touch the principal, but they can use the earnings. At an assumed interest rate of 9.5 percent, how much can the college earn to help its operations each year?

(Multiple Choice)
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Hayley makes annual end-of-year payments of $6,260.96 on a five-year loan with an 8 percent interest rate. The original principal amount was

(Multiple Choice)
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Dottie has decided to set up an account that will pay her granddaughter (Lexi) $5,000 a year indefinitely. How much should Dottie deposit in an account paying 8 percent annual interest?

(Short Answer)
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The time value concept/calculation used in amortizing a loan is

(Multiple Choice)
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Timothy borrows $6,930 from the bank. For a four-year loan, the bank requires annual end-of-year payments of $2,281.86. Calculate the interest rate on the loan.

(Essay)
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