Exam 5: The Time Value of Money

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

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What is the annually compounded rate of interest on an account with an APR of 10% and monthly compounding?

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A perpetuity is a special form of an annuity.

(True/False)
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What is the relationship between an annually compounded rate and the annual percentage rate (APR) which is calculated for truth-in-lending laws for a loan requiring monthly payments?

(Multiple Choice)
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A loan officer states, "Thousands of dollars can be saved by switching to a 15-year mortgage from a 30-year mortgage." Calculate the difference in payments on a 30-year mortgage at 9% interest versus a 15-year mortgage with 8.5% interest. Both mortgages are for $100,000 and have monthly payments. What is the difference in total dollars that will be paid to the lender under each loan? (Round the monthly payment amounts to 2 decimal places.)

(Multiple Choice)
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In 2013, the U.S. inflation rate was below 2% and a few countries were even experiencing deflation.

(True/False)
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How should we compare interest rates quoted over different time intervals-for example, monthly versus annual rates?

(Essay)
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Assume your uncle recorded his salary history during a 40-year career and found that it had increased 10-fold. If inflation averaged 4% annually during the period, then over his career his purchasing power:

(Multiple Choice)
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What is the discount factor for $1 to be received in 5 years at a discount rate of 8%?

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

(True/False)
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An interest rate that has been annualized using compound interest is termed the:

(Multiple Choice)
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Three thousand dollars is deposited into an account paying 10% annually to provide three annual withdrawals of $1,206.34 beginning in one year. How much remains in the account after the second payment has been withdrawn?

(Multiple Choice)
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How much more is a perpetuity of $1,000 worth than an annuity of the same amount for 20 years? Assume an interest rate of 10% and cash flows at the end of each period.

(Multiple Choice)
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How much more would you be willing to pay today for an investment offering $10,000 in 4 years rather than in 5 years? Your discount rate is 8%.

(Multiple Choice)
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You should never compare cash flows occurring at different times without first discounting them to a common date.

(True/False)
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How much must be deposited today in an account earning 6% annually to accumulate a 20% down payment to use in purchasing a car one year from now, assuming that the car's current price is $20,000, and inflation will be 4%?

(Multiple Choice)
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If inflation in Wonderland averaged about 3% per month in 2013, what was the annual rate of inflation?

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A car dealer offers payments of $522.59 per month for 48 months on a $25,000 car after making a $4,000 down payment. What is the loan's APR?

(Multiple Choice)
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What is the APR on a loan with an effective annual rate of 15.26% and weekly compounding of interest?

(Multiple Choice)
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