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

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What is the future value of $2,500 deposited for one year earning a 14 percent interest rate annually?

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B

What is the future value of $2,000 deposited for one year earning 6 percent interest rate annually?

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C

A $2 million deposit earns 7 percent for 13 years. If the account earns 9 percent per year forever after that, how long will it take to grow to $5 million?

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C

Which of the following would you prefer?

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You borrow $3,500 and will pay back the entire amount in 5 years. You are charged 9 percent interest per year. How much interest do you pay on this loan?

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You just won the lottery and after taxes you have $32,000. You want to have $1,000,000 by the time you are 65, which is 45 years from now. Assuming that you can earn 9 percent each on your money, how much (in dollars) of the $32,000 must you invest today?

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How are future values affected by changes in interest rates?

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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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How long will it take for the purchasing power of $1 to be cut in half if inflation is 4 percent?

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Assume you borrow $100 from a payday lender. The terms are that you must pay a fee of $25 in advance (today) and one year from now you need to repay $112. What implied interest rate are you paying?

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How long will it take $3,000 to reach $5,000 when it grows at 7 percent per year?

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We call the process of earning interest on both the original deposit and on the earlier interest payments:

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You want to retire in 40 years and you have $40,000 saved in your retirement account. You believe you will need $1,500,000 upon retirement. What rate will you need to earn on the account to achieve this goal?

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You borrow $10,000 and will pay back the entire amount in 10 years. You are charged 6 percent interest per year. How much interest do you pay on this loan?

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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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Scenario A: At age 27, you invest $1,500 that earns 9 percent each year. Scenario B: At age 40, you invest $2,500 that earns 11 percent per year. Under which scenario do you accumulate more money by age 60?

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How many years will it take $100 to grow to $1,000 with an annual interest rate of 8 percent?

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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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Approximately what rate is needed to double an investment over five years?

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Consider a $2,000 deposit earning 6 percent interest per year for five years. How much total interest is earned on the original deposit (excluding interest earned on interest)?

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