Exam 5: The Time Value of Money

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What is the present value of $100 to be deposited today into an account paying 8%,compounded semiannually for 2 years?

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What is the future value of $10,000 on deposit for 5 years at 6% simple interest?

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If a borrower promises to pay you $1,900 9 years from now in return for a loan of $1,000 today,what effective annual interest rate is being offered?

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

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How much interest will be earned in the next year on an investment paying 12% compounded annually if $100 was just credited to the account for interest?

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"Give me $5,000 today and I'll return $20,000 to you in 5 years," offers the investment broker.To the nearest percent,what annual interest rate is being offered?

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Under which of the following conditions will a future value calculated with simple interest exceed a future value calculated with compound interest at the same rate?

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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 a 10% interest rate and cash flows at end of period.

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When money is invested at compound interest,the growth rate is the interest rate.

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Which of the following will increase the present value of an annuity,other things equal?

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Which of the following characteristics applies to the amortization of a loan such as a home mortgage?

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How much interest is earned in just the third year on a $1,000 deposit that earns 7% interest compounded annually?

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How much must be saved annually,beginning 1 year from now,in order to accumulate $50,000 over the next 10 years,earning 9% annually?

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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%,a 25-year horizon,and 4% expected inflation?

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The more frequent the compounding,the higher the future value,other things equal.

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What problem can be caused by "mixing" real and nominal cash flows in discounting exercises?

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An APR will be equal to an effective annual rate if:

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How should we compare interest rates quoted over different time intervals-for example,monthly versus annual rates?

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How many monthly payments remain to be paid on an 8% mortgage with a 30-year amortization and monthly payments of $733.76,when the balance reaches one-half of the $100,000 mortgage?

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

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