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

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The future value of a single a...

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Jackson has a loan that requires a $17,000 lump sum payment at the end of four years.The interest rate on the loan is 5%,compounded annually.How much did Jackson borrow today? (PV of $1,FV of $1,PVA of $1,and FVA of $1) (Use appropriate factor(s) from the tables provided.)


A) $16,150
B) $13,600
C) $11,504
D) $13,986
E) $15,343

F) B) and D)
G) None of the above

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


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

F) None of the above
G) C) and D)

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How long will it take an investment of $25,000 at 6% compounded annually to accumulate to a total of $35,462.50? (PV of $1,FV of $1,PVA of $1,and FVA of $1) (Use appropriate factor(s) from the tables provided.)


A) 4 years
B) 5 years
C) 6 years
D) 2 years
E) 10 years

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

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The number of periods in a future value calculation may only be expressed in years.

A) True
B) False

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Kelsey has a loan that requires a $25,000 lump sum payment at the end of three years.The interest rate on the loan is 5%,compounded annually.How much did Kelsey borrow today?

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A company needs to have $200,000 in 4 years,and will create a fund to insure that the $200,000 will be available.If it can earn a 7% return compounded annually,how much must the company invest in the fund today to equal the $200,000 at the end of 4 years?

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Patricia wants to invest a sum of money today that will yield $10,000 at the end of 6 years.Assuming she can earn an interest rate of 6% compounded annually,how much must she invest today? (PV of $1,FV of $1,PVA of $1,and FVA of $1) (Use appropriate factor(s) from the tables provided.)


A) $7,050
B) $9,400
C) $6,000
D) $8,836
E) $8,306

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

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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.)

A) True
B) False

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


A) 12%
B) 6%
C) 3%
D) 2%
E) 1%

F) A) and D)
G) A) and C)

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A company is setting aside $21,354 today,and wishes to have $30,000 at the end of three years for a down payment on a piece of property.What interest rate must the company earn?

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

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

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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?

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A company borrows money from the bank by promising to make 8 semiannual payments of $9,000 each.How much is the company able to borrow if the interest rate is 10% compounded semiannually?

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An individual is planning to set-up an education fund for his grandchildren.He plans to invest $10,000 annually at the end of each year.He expects to withdraw money from the fund at the end of 10 years and expects to earn an annual return of 8%.What will be the total value of the fund at the end of 10 years? (PV of $1,FV of $1,PVA of $1,and FVA of $1) (Use appropriate factor(s) from the tables provided.)


A) $46,320
B) $67,107
C) $100,000
D) $144,866
E) $215,890

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

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________ is a borrower's payment to the owner of an asset for its use.

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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.)


A) $141,000
B) $112,095
C) $100,000
D) $45,000
E) $105,000

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

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An interest rate is also called a discount rate.

A) True
B) False

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

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