Exam 4: Time Value of Money 1: Analyzing Single Cash Flows

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You are offered a choice between $770 today and $815 one year from today. Assume that interest rates are 4 percent. Which do you prefer?

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B

Which of the following investments would you prefer?

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C

Which of the following statements is incorrect with respect to time lines?

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D

What is the present value of a $250 payment in one year when the discount rate is 6 percent?

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Determine the interest rate earned on an $800 deposit when $808 is paid back in one year.

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You invested $2,000 in the stock market one year ago. Today, the investment is valued at $9,500. What return did you earn? What return would you need to suffer next year for your investment to be valued at the original $2,000?

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When your investment compounds, your money will grow in a(n) __________ fashion.

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Suppose a U.S. Treasury bond promises to pay $9,780.13 in three years. If bonds of this type are generating a 4 percent annual return, how much would you pay for this bond today?

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How much would be in your savings account in 7 years after depositing $100 today if the bank pays 5 percent interest per year?

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Assume that you borrow $2,000 from your sister and that you will pay her back in one lump sum. She charges you 9 percent interest in year 1 and increases the rate by 1 percent per year until the loan is paid off. How much will you owe if you wait until year 3 to pay off the loan?

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What is the present value of a $200 payment made in three years when the discount rate is 8 percent?

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How many years (and months) will it take $1 million to grow to $3 million with an annual interest rate of 7.5 percent?

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What is the value in year 3 of a $250 cash flow made in year 15 when interest rates are 12 percent?

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You invested $5,000 in the stock market one year ago. Today, the investment is valued at $5,500. What return did you earn? What return would you suffer next year for your investment to be valued at the original $5,000?

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What annual rate of return is implied on a $700 loan taken next year when $800 must be repaid in year 3?

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What is the value in year 5 of a $600 cash flow made in year 10 when interest rates are 5 percent?

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You deposit $10,000 in an account that doubles in "6" years. How many years will it take the account to be reduced to its original value if it loses 10 percent per year?

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You borrow $3,500 and will pay back the entire amount in five years. You are charged 9 percent interest per year. How much interest do you pay on this loan?

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Moving cash flows from one point in time to another requires us to use

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You deposit $20,000 in an account that doubles in seven years. How many years will it take the account to double again if it earns 14 percent per year?

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