Exam 26: Present and Future Values in Accounting

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Future value can be found if the interest rate (i), the number of periods (n), and the present value (p) are known.

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A company is beginning a savings plan. It will be saving $15,000 per year for the next 10 years. How much will the company have accumulated after the tenth year-end deposit, assuming the fund earns 10% interest?

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$239,061

Interest may be defined as:

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A company is considering investing in a project that is expected to return $350,000 four years from now. How much is the company willing to pay for this investment if the company requires a 12% return? (PV of $1, FV of $1, PVA of $1, and FVA of $1) (Use appropriate factor(s) from the tables provided.)

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A company needs to have $150,000 in 5 years, and will create a fund to insure that the $150,000 will be available. If it can earn a 6% return compounded annually, how much must the company invest in the fund today to equal the $150,000 at the end of 5 years? (PV of $1, FV of $1, PVA of $1, and FVA of $1) (Use appropriate factor(s) from the tables provided.)

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An _ _ is a series of equal payments occurring at equal intervals.

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Marshall has received an inheritance and wants to invest a sum of money today that will yield $5,000 at the end of each of the next 10 years. Assuming he can earn an interest rate of 5% compounded annually, how much of his inheritance must he invest today? (PV of $1, FV of $1, PVA of $1, and FVA of $1) (Use appropriate factor(s) from the tables provided.)

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Which interest rate column would you use from a present value or future value table for 8% interest compounded quarterly?

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An annuity is a series of equal payments occurring at equal intervals.

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A company has $46,000 today to invest in a fund that will earn 4% compounded annually. How much will the fund contain at the end of 6 years? (PV of $1, FV of $1, PVA of $1, and FVA of $1) (Use appropriate factor(s) from the tables provided.)

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The future value of an ________ annuity is the accumulated value of each annuity payment with interest as of the date of the final payment.

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The present value of $5,000 per year for three years at 12% compounded annually is $12,009. (PV of $1, FV of $1, PVA of $1, and FVA of $1) (Use appropriate factor(s) from the tables provided.)

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An individual is planning to set-up an education fund for her daughter. She plans to invest $7,000 annually at the end of each year. She expects to withdraw money from the fund at the end of 9 years and expects to earn an annual return of 8%. What will be the total value of the fund at the end of 9 years? (PV of $1, FV of $1, PVA of $1, and FVA of $1) (Use appropriate factor(s) from the tables provided.)

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Clara is setting up a retirement fund, and she plans on depositing $5,000 per year in an investment that will pay 7% annual interest. How long will it take her to reach her retirement goal of $69,082? (PV of $1, FV of $1, PVA of $1, and FVA of $1) (Use appropriate factor(s) from the tables provided.)

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A company is setting up a sinking fund to pay off $8,654,000 in bonds that are due in 7 years. The fund will earn 7% interest, and the company intends to put away a series of equal year-end amounts for 7 years. What is the amount of the annual deposits that the company must make?

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Pelcher Company acquires a machine by issuing a note that requires semiannual payments of $4,000 for 3 years. The interest rate on the note is 10% compounded semiannually. What is the cost of the machine? (PV of $1, FV of $1, PVA of $1, and FVA of $1) (Use appropriate factor(s) from the tables provided.)

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Cody invests $1,800 per year from his summer wages at a 4% annual interest rate. He plans to take a European vacation at the end of 4 years when he graduates from college. How much will he have available to spend on his vacation? (PV of $1, FV of $1, PVA of $1, and FVA of $1) (Use appropriate factor(s) from the tables provided.)

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Giuliani Co. lends $524,210 to Craig Corporation. The terms of the loan require that Craig make six semiannual period-end payments of $100,000 each. What semiannual interest rate is Craig paying on the loan?

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Marc Lewis expects an investment of $25,000 to return $6,595 annually. His investment is earning 10% per year. How many annual payments will he receive? (PV of $1, FV of $1, PVA of $1, and FVA of $1) (Use appropriate factor(s) from the tables provided.)

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The present value factor for determining the present value of $6,300 to be received three years from today at 10% interest compounded semiannually is 0.7462. (PV of $1, FV of $1, PVA of $1, and FVA of $1) (Use appropriate factor(s) from the tables provided.)

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