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

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How do you calculate the future value of a single period?

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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 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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You deposit $20,000 in an account that doubles in seven years. How many years will it take the account to be reduced to its original value if it loses 12 percent per year?

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A firm's net income last year was $2.65 million. Its net income grew 8 percent during the last "5" years. If that growth rate continues, how long will it take for the firm's net income to double?

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You have $100,000 in your account. Assuming no additional deposits are made and your account earns 15 percent per year, how long will it take for the account to have a balance of $500,000?

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How long will it take $100 to reach $500 when it grows at 10 percent per year?

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

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A deposit of $700 earns interest rates of 10 percent in the first year and 7 percent in the second year. What would be the second year future value?

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Determine the interest rate earned on a $450 deposit when $475 is paid back in one year.

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How are present values affected by changes in interest rates?

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What is the value in year 7 of a $700 cash flow made in year 3 when the interest rates are 10 percent?

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You invested $1,000 in the stock market one year ago. Today, the investment is valued at $1,250. What return did you earn? What return would you suffer next year for your investment to be valued at the original $1,000?

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You invested $5,000 in the stock market one year ago. Today, the investment is valued at $4,500. What return did you earn? What return would you need to get next year to break even overall?

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A $400 investment has doubled to $800 in six years because of a 12.25 percent return. How much longer will it take for the investment to reach $1100 if it continues to earn 12.25 percent?

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You invested $1,000 in the stock market one year ago. Today, the investment is valued at $750. What return did you earn? What return would you need to get next year to break even overall?

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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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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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Which of the following statements is correct?

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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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