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

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

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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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Which is more valuable, receiving $775 today or receiving $885 in 2.5 years if interest rates are 7.25 percent?

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What is the value in year 3 of a $10,000 cash flow made in year 20 if interest rates are 5 percent?

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Ten years ago, Hailey invested $1,000 and locked in a 9 percent annual rate for 30 years (end 20 years from now). Aidan can make a 20-year investment today and lock in an 8 percent rate. How much money should he invest now in order to have the same amount of money in 20 years as Hailey?

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Five years ago, sales were $4 million. Today your company's sales are $10 million. What annual rate have sales been growing?

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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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The longer money can earn interest,

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You deposit $20,000 in an account that doubles in 7 years. How many years will it take the account to double again if it earns 14 percent per year?

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At age 25 you invest $2,000 that earns 6 percent each year. At age 35 you invest $2,000 that earns 9 percent per year. In which case would you have more money at age 60?

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What annual rate of return is implied on a $1,000 loan taken next year when $1,500 must be repaid in year 5?

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What is the present value of a $750 payment made in 3 years when the discount rate is 5 percent?

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What is the present value of a $7,000 payment made in six years when the discount rate is 4 percent?

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You double your money in 5 years. The reason your return is not 20 percent per year is because:

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What is the value in year 20 of a $1,000 cash flow made in year 8 if interest rates are 15 percent in years 6 through 13 and increase to 18 percent in the remaining years?

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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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What annual rate of return is earned on a $895 investment that grows to $1,976 in eight years?

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Scenario A: At age 19 you invest $1,500 that earns 8 percent per year. Scenario B: At age 30 you invest $1,500 that earns 13 percent per year. Under which scenario would you have more money at age 55 and what is the dollar difference at age 55 between the two scenarios?

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Five years ago, Jane invested $5,000 and locked in an 8 percent annual interest rate for 25 years (end 20 years from now). James can make a 20-year investment today and lock in a 10 percent interest rate. How much money should he invest now in order to have the same amount of money in 20 years as Jane?

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What annual rate of return is earned on a $5,000 investment when it grows to $7,000 in six years?

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