Deck 26: Appendix B: Time Value of Money
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Deck 26: Appendix B: Time Value of Money
1
Present Value of 1
Future Value of 1
Present Value of an Annuity of 1
Future Value of an Annuity of 1
Russell Company has acquired a building with a loan that requires payments of $20,000 every six months for 5 years.The annual interest rate on the loan is 12%.What is the present value of the building?
A)$72,096
B)$113,004
C)$147,202
D)$86,590
E)$200,000




A)$72,096
B)$113,004
C)$147,202
D)$86,590
E)$200,000
C
2
Present Value of 1
Future Value of 1
Present Value of an Annuity of 1
Future Value of an Annuity of 1
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.




A)Present value computations.
B)Annuity computations.
C)Interest computations.
D)Future value computations.
E)Earnings computations.
D
3
Present Value of 1
Future Value of 1
Present Value of an Annuity of 1
Future Value of an Annuity of 1
What amount can you borrow if you make six quarterly payments of $4,000 at a 12% annual rate of interest?
A)$24,838.00
B)$21,668.80
C)$31,049.00
D)$40,000.00
E)$44,800.00




A)$24,838.00
B)$21,668.80
C)$31,049.00
D)$40,000.00
E)$44,800.00
B
4
Present Value of 1
Future Value of 1
Present Value of an Annuity of 1
Future Value of an Annuity of 1
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?
A)$8,000.00
B)$8,960.00
C)$8,892.30
D)$8,240.00
E)$8,487.20




A)$8,000.00
B)$8,960.00
C)$8,892.30
D)$8,240.00
E)$8,487.20
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5
Present Value of 1
Future Value of 1
Present Value of an Annuity of 1
Future Value of an Annuity of 1
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%




A)12%
B)6%
C)3%
D)2%
E)1%
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6
Present Value of 1
Future Value of 1
Present Value of an Annuity of 1
Future Value of an Annuity of 1
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?
A)$7,050
B)$9,400
C)$6,000
D)$8,836
E)$8,306




A)$7,050
B)$9,400
C)$6,000
D)$8,836
E)$8,306
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7
Present Value of 1
Future Value of 1
Present Value of an Annuity of 1
Future Value of an Annuity of 1
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?
A)$55,606
B)$137,681
C)$222,425
D)$265,764
E)$350,000




A)$55,606
B)$137,681
C)$222,425
D)$265,764
E)$350,000
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8
Present Value of 1
Future Value of 1
Present Value of an Annuity of 1
Future Value of an Annuity of 1
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?
A)$87,416
B)$68,040
C)$50,400
D)$126,000
E)$45,360




A)$87,416
B)$68,040
C)$50,400
D)$126,000
E)$45,360
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9
Present Value of 1
Future Value of 1
Present Value of an Annuity of 1
Future Value of an Annuity of 1
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?
A)$141,000
B)$112,095
C)$100,000
D)$45,000
E)$105,000




A)$141,000
B)$112,095
C)$100,000
D)$45,000
E)$105,000
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10
Present Value of 1
Future Value of 1
Present Value of an Annuity of 1
Future Value of an Annuity of 1
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?
A)$3,358.40
B)$4,000.00
C)$3,660.40
D)$4,776.40
E)$3,350.00




A)$3,358.40
B)$4,000.00
C)$3,660.40
D)$4,776.40
E)$3,350.00
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11
Present Value of 1
Future Value of 1
Present Value of an Annuity of 1
Future Value of an Annuity of 1
What amount can you borrow if you make seven semiannual payments of $4,000 at an 8% annual rate of interest?
A)$28,000.00
B)$25,760.00
C)$31,049.00
D)$24,008.40
E)$35,691.20




A)$28,000.00
B)$25,760.00
C)$31,049.00
D)$24,008.40
E)$35,691.20
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12
Present Value of 1
Future Value of 1
Present Value of an Annuity of 1
Future Value of an Annuity of 1
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?
A)$7,787.52
B)$7,488.00
C)$6,912.00
D)$7,200.00
E)$7,643.70




A)$7,787.52
B)$7,488.00
C)$6,912.00
D)$7,200.00
E)$7,643.70
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13
Present Value of 1
Future Value of 1
Present Value of an Annuity of 1
Future Value of an Annuity of 1
Keisha has $3,500 now and plans on investing it in a fund that will pay her 12% interest compounded quarterly.How much will Keisha have accumulated after 2 years?
A)$4,433.80
B)$4,340.00
C)$4,390.40
D)$3,920.00
E)$3,500.00




A)$4,433.80
B)$4,340.00
C)$4,390.40
D)$3,920.00
E)$3,500.00
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14
Present Value of 1
Future Value of 1
Present Value of an Annuity of 1
Future Value of an Annuity of 1
Interest may be defined as:
A)Time.
B)A borrower's payment to the owner of an asset for its use.
C)The future value of a present amount.
D)Always a liability.
E)Always an asset.




A)Time.
B)A borrower's payment to the owner of an asset for its use.
C)The future value of a present amount.
D)Always a liability.
E)Always an asset.
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15
Present Value of 1
Future Value of 1
Present Value of an Annuity of 1
Future Value of an Annuity of 1
Jessica received a gift of $7,500 at the time of her high school graduation.She invests it in an account that yields 10% compounded semi-annually.What will the value of Jessica's investment be at the end of 5 years?
A)$8,250.00
B)$11,250.00
C)$12,216.75
D)$9,375.00
E)$10,500.00




A)$8,250.00
B)$11,250.00
C)$12,216.75
D)$9,375.00
E)$10,500.00
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16
Present Value of 1
Future Value of 1
Present Value of an Annuity of 1
Future Value of an Annuity of 1
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?
A)$46,320
B)$67,107
C)$100,000
D)$144,870
E)$215,890




A)$46,320
B)$67,107
C)$100,000
D)$144,870
E)$215,890
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17
Present Value of 1
Future Value of 1
Present Value of an Annuity of 1
Future Value of an Annuity of 1
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?
A)Five payments
B)Six payments
C)Four payments
D)Three payments
E)More than six payments




A)Five payments
B)Six payments
C)Four payments
D)Three payments
E)More than six payments
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18
Present Value of 1
Future Value of 1
Present Value of an Annuity of 1
Future Value of an Annuity of 1
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?
A)$50,000.00
B)$47,500.00
C)$45,125.00
D)$38,608.50
E)$100,000.00




A)$50,000.00
B)$47,500.00
C)$45,125.00
D)$38,608.50
E)$100,000.00
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19
Present Value of 1
Future Value of 1
Present Value of an Annuity of 1
Future Value of an Annuity of 1
A company is considering an investment that will return $22,000 semiannually at the end of each semiannual period for 4 years.If the company requires an annual return of 10%,what is the maximum amount it is willing to pay for this investment?
A)Not more than $69,738
B)Not more than $139,476
C)Not more than $88,000
D)Not more than $142,190
E)Not more than $176,000




A)Not more than $69,738
B)Not more than $139,476
C)Not more than $88,000
D)Not more than $142,190
E)Not more than $176,000
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20
Present Value of 1
Future Value of 1
Present Value of an Annuity of 1
Future Value of an Annuity of 1
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 $69,080?
A)13.816 years
B)0.072 years
C)10 years
D)20 years
E)5 years




A)13.816 years
B)0.072 years
C)10 years
D)20 years
E)5 years
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21
Present Value of 1
Future Value of 1
Present Value of an Annuity of 1
Future Value of an Annuity of 1
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?
A)$58,204
B)$47,840
C)$58,075
D)$57,040
E)$62,582




A)$58,204
B)$47,840
C)$58,075
D)$57,040
E)$62,582
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22
Present Value of 1
Future Value of 1
Present Value of an Annuity of 1
Future Value of an Annuity of 1
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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23
Present Value of 1
Future Value of 1
Present Value of an Annuity of 1
Future Value of an Annuity of 1
_____________ is a borrower's payment to the owner of an asset for its use.




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24
Present Value of 1
Future Value of 1
Present Value of an Annuity of 1
Future Value of an Annuity of 1
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?
A)$16,150
B)$13,600
C)$11,504
D)$13,986
E)$15,343




A)$16,150
B)$13,600
C)$11,504
D)$13,986
E)$15,343
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25
Present Value of 1
Future Value of 1
Present Value of an Annuity of 1
Future Value of an Annuity of 1
The interest rate is also called the __________________ rate.




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26
Present Value of 1
Future Value of 1
Present Value of an Annuity of 1
Future Value of an Annuity of 1
An _____________ is a series of equal payments occurring at equal intervals.




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27
Present Value of 1
Future Value of 1
Present Value of an Annuity of 1
Future Value of an Annuity of 1
To calculate present value of an amount,two factors are required: The __________________ and the ___________________.




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