Exam 6: Time Value of Money

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Present value factors for amounts are reciprocals of future value factors for amounts.

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If the present value of a given sum is equal to its future value, then:

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What is the rate of interest on a $10,000 loan that is to be repaid in 10 equal annual installments of $1,917.

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The present value of the cash flows expected to come from owning a share of stock:

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The Florida lottery agrees to pay the winner $250,000 at the end of each year for the next 20 years. What is the future value of this prize if each payment is put in an account earning 9 percent?

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Cosmos Touring wishes to replace its luxury bus in 10 years by accumulating funds in a special account. The new bus is expected to cost $180,000. How much must Cosmos put into the fund in equal, end-of-year amounts if earnings are expected to be 8% for the first 4 years and 10% thereafter?

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Using an annual interest rate of 9%, how long will it take a deposit of $1,000 to grow to $3,000, assuming no additional deposits are made?

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The present value of an annuity is equal to the sum of the present values of each of the cash flows in the annuity.

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Holding all other variables constant, an increase in the discount rate would increase a present value.

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Which of the following formulas can be used to solve amount problems?

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You have just borrowed $30,000 to buy a new car. The loan agreement calls for 48 monthly payments of $704.55 each to begin one month from today. If the interest is compounded monthly, then what is the effective annual rate (EAR) on this loan?

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Both the timing and the amount of cash flows that come from an investment determine its desirability.

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Suppose your savings account pays an annual rate of 3% compounded monthly. What is the yield on this account?

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Find the present value of $100 to be received at the end of two years if the discount rate is 12% compounded monthly.

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The present value of an investment will always be larger than its expected future value when interest is compounded.

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At an effective interest rate of 12%, a single sum invested today will double itself in approximately:

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The importance of the timing of future payments is positively related to the interest rate.

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At a 0% interest the present value factor for an annuity is equal to the number of payments in the annuity.

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The present value of five uneven cash flows is $2,145. At a nominal rate of 10% compounded annually, what is the fifth payment if payment one is $500, payment two is $600, and payments three and four are $400?

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The effective rate of interest will always be ____ the nominal rate.

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