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Explain the concept of the present value of a single amount.

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The present value of a single amount is ...

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A series of equal payments made or received at the end of each period is an ordinary annuity.

A) True
B) False

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Hao made a single investment which, after 5 years invested at 12% compounded semiannually, has accumulated to $214,900. How much did Hao invest initially? (PV of $1, FV of $1, PVA of $1, and FVA of $1) (Use appropriate factor(s) from the tables provided.)


A) $ 21,486
B) $214,896
C) $120,000
D) $160,584
E) $211,476

F) B) and D)
G) B) and C)

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With deposits of $5,000 at the end of each year, you will have accumulated $38,578 at the end of the sixth year if the annual rate of interest is 10%. (PV of $1, FV of $1, PVA of $1, and FVA of $1) (Use appropriate factor(s) from the tables provided.)

A) True
B) False

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When you reach retirement age, you will have one fund of $100,000 from which you are going to make annual withdrawals of $14,702. The fund will earn 6% per year. For how many years will you be able to draw an even amount of $14,702?

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The Masterson family is setting up a vacation fund, and they plan on depositing $1,000 per quarter in an investment that will pay 12% annual interest. What amount will they have available for their vacation at the end of 2 years? (PV of $1, FV of $1, PVA of $1, and FVA of $1) (Use appropriate factor(s) from the tables provided.)


A) $8,960.00
B) $8,000.00
C) $8,240.00
D) $8,892.30
E) $8,487.20

F) B) and C)
G) C) and D)

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The present value of eight $5,000 semiannual payments invested for 4 years at 8% compounded semiannually is $33,663.50. (PV of $1, FV of $1, PVA of $1, and FVA of $1) (Use appropriate factor(s) from the tables provided.)

A) True
B) False

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Molly borrows money by promising to make a single payment of $100,000 at the end of 5 years. How much money is Molly able to borrow if the interest rate is 10%, compounded semiannually? (PV of $1, FV of $1, PVA of $1, and FVA of $1) (Use appropriate factor(s) from the tables provided.)


A) $61,390
B) $62,090
C) $38,550
D) $74,850
E) $78,350

F) D) and E)
G) A) and E)

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At an annual interest rate of 8% compounded annually, $5,300 will accumulate to a total of $7,210.65 in 5 years. (PV of $1, FV of $1, PVA of $1, and FVA of $1) (Use appropriate factor(s) from the tables provided.)

A) True
B) False

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Mason Company has acquired a machine from a dealer that requires a payment of $45,000 at the end of five years. This transaction includes interest at 8%, compounded semiannually. What is the value of the machine today?

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Jason has a loan that requires a single payment of $4,000 at the end of 3 years. The loan's interest rate is 6%, compounded semiannually. How much did Jason borrow? (PV of $1, FV of $1, PVA of $1, and FVA of $1) (Use appropriate factor(s) from the tables provided.)


A) $4,000.00
B) $4,776.40
C) $3,358.40
D) $3,660.40
E) $3,350.00

F) A) and D)
G) All of the above

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Explain the concept of the future value of an annuity.

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The future value of an annuity...

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The present value of an annuity table can be used to determine the value today of a series of payments to be received in the future.

A) True
B) False

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A company is creating a fund today by depositing $65,763. The fund will grow to $90,000 after 8 years. What annual interest rate is the company earning on the fund?

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A company expects to invest $5,000 today at 12% annual interest and plans to receive $15,529 at the end of the investment period. How many years will elapse before the company accumulates the $15,529? (PV of $1, FV of $1, PVA of $1, and FVA of $1) (Use appropriate factor(s) from the tables provided.)


A) 8 years
B) 0.322 years
C) 10 years
D) 3.1058 years
E) 5 years

F) All of the above
G) C) and E)

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If we want to know the value of present-day assets at a future date, we can use:


A) Annuity computations.
B) Future value computations.
C) Interest computations.
D) Earnings computations.
E) Present value computations.

F) A) and B)
G) C) and E)

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Paul wants to invest a sum of money today that will accumulate to $50,000 at the end of 4 years. Assuming he can earn an interest rate of 8% compounded semiannually, how much 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.)


A) $36,750
B) $27,015
C) $31,414
D) $42,740
E) $36,535

F) D) and E)
G) All of the above

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What amount can you borrow if you make six quarterly payments of $4,000 at a 12% annual rate of interest? (PV of $1, FV of $1, PVA of $1, and FVA of $1) (Use appropriate factor(s) from the tables provided.)


A) $24,838.00
B) $21,668.80
C) $44,800.00
D) $40,000.00
E) $31,049.00

F) A) and D)
G) A) and E)

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The present value of $2,000 to be received nine years from today at 8% interest compounded annually is $1,000.40. (PV of $1, FV of $1, PVA of $1, and FVA of $1) (Use appropriate factor(s) from the tables provided.)

A) True
B) False

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The interest rate is also called the ________ rate.

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