Exam 5: Time Value of Money

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Jose is investing for his daughter's college education. He expects to need $30,000 in 10 years, $31,000 in 11 years, $32,000 in 12 years, and $33,000 in 13 years. If Jose can earn 6% annually on his investment, what single amount does he need to invest today to provide for his daughter's college education?

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D

Which of the following properly describes the present value of an ordinary annuity?

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A

An infinite annuity is called a perpetuity.

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True

Suppose you are borrowing money at a 10% annual nominal interest rate. To pay as little as possible, which one of the following compounding periods should you prefer?

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If an interest rate is compounded monthly, the annual nominal rate is greater than the effective annual rate.

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What happens to the present value of an annuity as the interest rate increases?

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An investment that pays $1,000 in a year, $1,500 in two years, and $2,000 in three years can properly be described as an annuity.

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An investment promises to return $1,000 at the end of each of the next 5 years and then $2,000 at the end of each of the next 10 years years 6 through 15). What is the value of this investment today at a 4% interest rate?

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Everything else being the same, the higher the interest rate, the higher the present value.

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You have invested $5,000 into a certificate of deposit for 5 years. It pays a 6% annual nominal rate, compounded semiannually. What is the value of the certificate of deposit at the end of 5 years?

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Hyun just turned 25 today. By her 60th birthday she would like to have $1,000,000 saved. She plans to invest equal annual payments beginning with her 26th birthday and ending on her 60th birthday. If all invested funds earn 8% annually, how much does she need to invest each year to have exactly $1,000,000 by her 60th birthday?

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What is the present value of $7,500 to be received in 8 years if 6% is the proper discount rate?

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Which of the following properly describes the present value of an annuity due?

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A money multiplier certificate is selling for $8,000 today and promises to be worth $10,000 in 3 years. What is the rate of return on this investment?

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What is the future value of $1,500 invested at a 5% rate for 7 years?

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You plan to invest $2,000 annually. The first $2,000 will be invested on your 22nd birthday and the last $2,000 will be invested on your 49th birthday. What is the value of this investment on your 50th birthday if all invested funds earn 8% annually?

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The future value of an annuity due is on the same date as the last payment.

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The process of computing the present value of a future value is called discounting.

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Odarta can afford to pay $12,000 at the end of each of the next 30 years to repay a home loan. If the interest rate is 5.50%, what is the most Odarta can borrow?

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Which of the following properly describes the future value of an annuity due?

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