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

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

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Interest-on-Interest Consider a $1,000 deposit earning 7 percent interest per year for 4 years. How much total interest is earned on the original deposit (excluding interest earned on interest)?

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Assume you borrow $500 from a payday lender. The terms are that you must pay a fee of $75 in advance (today) and one year from now you need to repay $750. What implied interest rate are you paying?

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Rule of 72 Approximately what interest rate is needed to double an investment over 6 years?

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Explain why the Rule of 72 is less accurate with higher interest rates.

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Explain how "interest rate" and "rate of return" are similar, yet different.

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What is the future value of $1000 deposited for one year earning 5% interest rate annually?

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Solving for Rates 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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Solving for Rates What annual rate of return is earned on a $2,000 investment made in year 3 when it grows to $3,000 by the end of year six?

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A dollar paid (or received) in the future is

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Show the time line for a $300 cash outlay today, a $483.15 inflow in year five, and a 10 percent interest rate.

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An appliance store sells a TV for $1,200 and gives their customers a full 3 years to pay for the TV. If interest rates are 5%, what is the equivalent sales price of the TV when the customer takes the full 3 years to pay for it?

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How many years (and months) will it take $4 million to grow to $7 million with an annual interest rate of 12%?

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

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Rule of 72 Approximately how many years does it take to double a $300 investment when interest rates are 8% per year?

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Which of the following will not increase a present value?

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Present Value What is the present value of a $500 payment made in 4 years when the discount rate is 8 percent?

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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 be reduced to its original value if it loses 12% per year?

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Which of the following is the equivalent of $300 received today?

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What is the value in year 2 of a $200 cash flow made in year 8 if interest rates are 3%?

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