Exam 13: Annuities and Sinking Funds

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Abby Mia wants to know how much must be deposited in her local bank today so that she will receive yearly payments of $18,000 for 20 years at a current rate of 9% compounded annually. (Use the tables in the handbook.)

(Multiple Choice)
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Alice Wolf wants to know how much she will have to invest today in order to receive an annuity of $10,000 for six years if interest is earned at 7% annually. She will make all her withdrawals at the end of each year. How much should she invest?

(Short Answer)
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Interest is not calculated in ordinary annuities.

(True/False)
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Match the following terms with their definitions. -Sinking fund

(Multiple Choice)
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Alice Wolf wants to know how much she will have to invest today in order to receive an annuity of $6,000 for four years if interest is earned at 10% annually. She will make all her withdrawals at the end of each year. How much should Alice invest?

(Short Answer)
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Pete Rool made deposits of $6,000 at the end of each quarter to Rote Bank, which pays 8% interest compounded quarterly. After three years, Pete made no more deposits. What would be the balance in the account two years after the last deposit?

(Short Answer)
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Match the following terms with their definitions. -Present value of annuity

(Multiple Choice)
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The amount of money one needs to invest in the future to receive a stream of payments in the present is called the present value of an ordinary annuity.

(True/False)
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Match the following terms with their definitions. -Annuity

(Multiple Choice)
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Use the tables in the handbook. Shelley Sands decided to retire to Hawaii in four years. What amount should Shelley invest today so that she will be able to withdraw $20,000 at the end of each year for 30 years after she retires? Assume she can invest money at 7% compounded annually.

(Short Answer)
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Companies that plan to retire bonds in the future could utilize sinking funds.

(True/False)
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Using the sinking fund table, complete: Required Amount Freq of Payment Amount end of Needed Payment Years Interest Rate each period \ 40,000 Quarterly 7 8\% ?

(Short Answer)
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In an ordinary annuity the interest on a yearly investment starts building interest:

(Multiple Choice)
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In 10 years, Longin Company will have to repay a $60,000 loan. Assume an 8% interest rate compounded quarterly. How much must Longin pay each period to have the $60,000 at the end of 10 years? Verify your result.

(Short Answer)
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An annuity due requires that deposits or payments be made at the end of the period.

(True/False)
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The present value of an ordinary annuity:

(Multiple Choice)
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Art Newner wants to know how much he will have to invest today in order to receive an annuity of $8,000 for three years if interest is earned at 10% annually. He will make all his withdrawals at the end of each year. How much should Art invest?

(Short Answer)
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There is only one class of annuities.

(True/False)
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Sherry Siebert invests $2,000 at the end of each six months for five years. Assuming Sherry can receive 6% interest compounded semiannually, what is the value of her investment at the end of five years?

(Short Answer)
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Use the tables in the handbook. Jackie Bell invests $5,000 at the end of each year for 15 years. The rate of interest Jackie gets is 8% annually. What is the final value of Jackie's investment in this ordinary annuity?

(Short Answer)
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