Exam 5: Time Value of Money-The Basics

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The present value of a single future sum

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C

If you deposit $1,000 each year in a savings account earning 4%,compounded annually,how much will you have in 10 years?

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FV[10] = $1,000(12.006)= $12,006

Money has a greater time value time value

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A

At 8% compounded annually,how long will it take $750 to double?

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If you want to have $1,200 in 27 months,how much money must you put in a savings account today? Assume that the savings account pays 14% and it is compounded monthly (round to the nearest $10).

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If you want to have $10,000 in 10 years,which of the following formulas represents how much money you must put in a savings account today? Assume that the savings account pays 6% and it is compounded monthly.

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As the discount rate increases,the present value of future cash flows increases.

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If you want to have $1,700 in seven years,how much money must you put in a savings account today? Assume that the savings account pays 6% and it is compounded quarterly (round to the nearest $10).

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High discount rates favor

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How much money must be put into a bank account yielding 5.5% (compounded annually)in order to have $250 at the end of five years (round to nearest $1)?

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The present value of a future sum of money increases as the number of years before the payment is received increases.

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What is the present value of $1,000 to be received 10 years from today? Assume that the investment pays 8.5% and it is compounded monthly (round to the nearest $1).

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You are considering two investments.Investment A yields 10% compounded quarterly.Investment B yields r% compounded semiannually.Both investments have equal annual yields.Find r.

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For any number of compounding periods per year greater than 1,EAR will always be greater than the APR.

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The present value of a single sum

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Sketch a timeline that represents an immediate investment of $20,000 with $25,000 to be received at the end of 4 years.

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What is the value of $750 invested at 7.5% compounded quarterly for 4.5 years (round to the nearest $1)?

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If you place $50 in a savings account with an interest rate of 7% compounded weekly,what will the investment be worth at the end of five years (round to the nearest dollar)?

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The time value of money is created by

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A friend plans to buy a big-screen TV/entertainment system and can afford to set aside $1,320 toward the purchase today.If your friend can earn 5.0%,compounded yearly,how much can your friend spend in four years on the purchase? Round off to the nearest $1.

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