Exam 13: Annuities and Sinking Funds

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At the beginning of each year for 14 years, Sherry Kardell invested $400 that earns 10% annually. What is the future value of Sherry's account in 14 years?

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D

Ed Sloan invests $1,600 at the beginning of each year for eight years into an account that pays 10% compounded semiannually. The value of the annuity due is (use the tables in the handbook):

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E

At the beginning of each period for 9 years, Scott Sullivan invested $900 quarterly at 4% interest compounded quarterly. What is the value of this annuity due?

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Interest is not calculated in ordinary annuities.

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Insurance companies do not use annuities.

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Find the value of an investment after four years on $6,000 made quarterly at 8% for (A) an ordinary annuity and (B) an annuity due. A. $111,835.20 B. $114,072

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Use the tables in the handbook. What must you invest today in order to receive an annuity of $6,000 for four years semiannually at 12%? All withdrawals will be made at the end of each period.

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An annuity due compared with an ordinary annuity results in a:

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Use the tables in the handbook. At the beginning of each year, Dick Raven invests $700 semiannually at 8% for eight years. What will be the cash value of this annuity due at the end of year 8?

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An annuity is:

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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?

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Jorgen Grace made deposits of $250 at the end of each year for 12 years. The rate received was 6% annually. What is the value of the investment after 12 years?

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A sinking fund:

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At the beginning of each year, Bill Ross invests $1,400 semiannually at 8% for nine years. The cash value of the annuity due at the end of the ninth year is (use the tables in the handbook):

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In 10 years, Longin Company will have to repay a $60,000 loan. Assume a 4% 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.

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Nancy Billows promised to pay her son $600 quarterly for four years. If Nancy can invest her money at 6% in an ordinary annuity, she must invest how much today? (Use the tables in the handbook.)

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Angel Rowe wants to receive $7,500 each year for the next 25 years. Assume a 5% interest rate compounded annually. How much should Angel invest today?

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Scott deposits $5,000 at the end of each year into an account for five years. Assuming 6% interest annually, what is the value of his account in five years?

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Use the tables in the handbook. What is the value of an investment after three years on an ordinary annuity of $5,000 made semiannually at 12%?

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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?

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