Exam 5: The Time Value of Money

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The appropriate manner of adjusting for inflationary effects is to discount nominal cash flows with real interest rates.

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Given a set future value, which of the following will contribute to a lower present value?

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According to the Rule of 72, what approximate interest rate is being offered on a deposit that doubles in value over an eight-year period?

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In calculating the present value of $1,000 to be received 5 years from today, the discount factor has been calculated to be 7008.What is the apparent interest rate?

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Assume your uncle recorded his salary history during a 40-year career and found that it had increased ten-fold.If inflation averaged 5 percent annually during the period, how would you describe his purchasing power, on average?

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Compound interest pays interest for each time period on the original investment plus the accumulated interest.

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A furniture store is offering free credit on purchases of over $1,000.You observe that a big-screen television can be purchased for nothing down and $4,000 due in one year.The store next door offers an identical television for $3,650 but does not offer credit terms.Which statement below best describes the "free" credit?

(Multiple Choice)
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If inflation in Wonderland averaged about 20% per month in 2008, what was the annual inflation rate?

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Discuss the statement, "It is always preferred to select an account that offers compound interest over an account that offers simple interest."

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What three pieces of information do you need to calculate the future value of an annuity?

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What is the difference between real and nominal cash flows and between real and nominal interest rates?

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Which of the following strategies will allow real retirement spending to remain approximately equal, assuming savings of $1,000,000 invested at 8 percent, a 25-year horizon, and 4 percent expected inflation?

(Multiple Choice)
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How much must be invested today in order to generate a five-year annuity of $1,000 per year, with the first payment one year from today, at an interest rate of 12 percent?

(Multiple Choice)
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Your car loan requires payments of $200 per month for the first year and payments of $400 per month during the second year.The annual interest rate is 12 percent and payments begin in one month.What is the present value of this two-year loan?

(Multiple Choice)
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What EAR is being earned on a deposit of $5,000 made ten years ago today if the deposit is worth $9,948.94 today? The deposit pays interest semi-annually.

(Multiple Choice)
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Lincoln wants to buy a new Mercedes-Benz Jeep.He will need to borrow $20,000 to go with his down payment in order to afford this car.If car loans are available at a 6 percent annual interest rate, what will Lincoln's monthly payment be on a four-year loan?

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What will be the approximate population of the United States, if its current population of 275 million grows at a compound rate of 2 percent annually for 25 years?

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An annual percentage rate (APR) is determined by annualizing the rate using compound interest.

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Your retirement account has a current balance of $50,000.What interest rate would need to be earned in order to accumulate a total of $1,000,000 in 30 years, by adding $6,000 annually?

(Multiple Choice)
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How much interest will be earned in an account into which $1,000 is deposited for one year with continuous compounding at a 13 percent rate?

(Multiple Choice)
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