Exam 13: Annuities and Sinking Funds

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Jones Co. borrowed money that is to be repaid in 12 years. So that the loan will be paid back at end of the 12th year, the company invests $8,000 at end of each year at 5% compounded annually. The amount of the original loan was (use the tables in the handbook):

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Interest is not calculated in ordinary annuities.

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Bram Johnson invests $500 at the end of each quarter for 10 years. The account earns 12% interest annually. What is the value of the account at the end of 10 years?

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Joe Sullivan invests $9,000 at the end of each year for 20 years. The rate of interest Joe gets is 8% annually. The final value of Joe's investment at the end of the 20th year on this ordinary annuity is (use the tables in the handbook):

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An annuity is one lump sum payment.

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An annuity due provides a lower final value compared with an ordinary annuity.

(True/False)
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Sinking funds utilize the concept of compound interest.

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Insurance companies do not use annuities.

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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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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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Contingent annuities:

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Ted Williams made deposits of $500 at the end of each year for eight years. The rate is 8% compounded annually. The value of Ted's annuity at the end of eight years is (use the tables in the handbook):

(Multiple Choice)
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Lee Associates borrowed $60,000. The company plans to set up a sinking fund that will pay back the loan at the end of 12 years. Assuming a rate of 8% compounded semiannually, the amount to be paid into the fund each period is (use the tables in the handbook):

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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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The same table can be used to find the value of an annuity due if two extra periods are added along with the subtraction of one payment.

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

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Maturity value is equal to principal plus interest.

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The value of an annuity is the series of payments and interest.

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In an ordinary annuity the interest on a yearly investment starts building interest:

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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):

(Multiple Choice)
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