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Trang 1Time Value of Money
True / False Questions
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Trang 2McGraw-Hill Education.
Trang 3Interest is the borrower's payment to the owner of an asset for its use
True False
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Trang 4McGraw-Hill Education.
Trang 5From the perspective of an account holder, a savings account is a liability with interest
True False
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Trang 6McGraw-Hill Education.
Trang 7An interest rate is also called a discount rate
True False
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Trang 8McGraw-Hill Education.
Trang 9Present and future value computations enable companies to measure or estimate the interest component of holding assets or liabilities over time
True False
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Trang 10McGraw-Hill Education.
Trang 11The number of periods in a present value calculation may only be expressed in years True False
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Trang 12McGraw-Hill Education.
Trang 13The 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 True False
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Trang 14McGraw-Hill Education.
Trang 15The present value of 1 formula is often useful when a borrowed asset must be repaid
in full at a later date and the borrower wants to know the worth of the asset at the future date
True False
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Trang 16McGraw-Hill Education.
Trang 17In a present value or future value table, the length of one time period may be interpreted as one year, one month, or any other length of time
True False
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Trang 18McGraw-Hill Education.
Trang 19The present value of $2,000 to be received nine years from today at 8% interest compounded annually is $1,000
True False
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Trang 20McGraw-Hill Education.
Trang 21Sandra has a savings account that has accumulated to $50,000 She started with
$28,225, and earned interest at 10% compounded annually It took her five years to accumulate the $50,000
True False
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Trang 22McGraw-Hill Education.
Trang 23Future value can be found if the interest rate (i), the number of periods (n), and the present value (p) are known
True False
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Trang 24McGraw-Hill Education.
Trang 25The number of periods in a future value calculation may only be expressed in years True False
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Trang 26McGraw-Hill Education.
Trang 27The future value of $100 compounded semiannually for 3 years at 12% equals
$140.49
True False
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Trang 28McGraw-Hill Education.
Trang 29At an annual interest rate of 8% compounded annually, $5,300 will accumulate to a total of $7,210.65 in 5 years
True False
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Trang 30McGraw-Hill Education.
Trang 31An annuity is a series of equal payments occurring at equal intervals
True False
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Trang 32McGraw-Hill Education.
Trang 33The 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
True False
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Trang 34McGraw-Hill Education.
Trang 35A series of equal payments made or received at the end of each period is an ordinary annuity
True False
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Trang 36McGraw-Hill Education.
Trang 37The present value of $5,000 per year for three years at 12% compounded annually is
$12,009
True False
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Trang 38McGraw-Hill Education.
Trang 39With 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%
True False
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Trang 40McGraw-Hill Education.
Trang 41The future value of an ordinary annuity is the accumulated value of each annuity payment excluding interest as of the date of the final payment
True False
Multiple Choice Questions
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Trang 42McGraw-Hill Education.
Trang 43Interest may be defined as:
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Trang 44McGraw-Hill Education.
Trang 45If we want to know the value of present-day assets at a future date, we can use:
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Trang 46McGraw-Hill Education.
Trang 47Which interest rate column would you use from a present value or future value table for 8% interest compounded quarterly?
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Trang 48McGraw-Hill Education.
Trang 49A 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?
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Trang 50McGraw-Hill Education.
Trang 51Jason 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?
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Trang 52McGraw-Hill Education.
Trang 53Patricia 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?
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Trang 54McGraw-Hill Education.
Trang 55Marshall 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?
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Trang 56McGraw-Hill Education.
Trang 57Cody 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?
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Trang 58McGraw-Hill Education.
Trang 59Jessica 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?
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Trang 60McGraw-Hill Education.
Trang 61A 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?
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Trang 62McGraw-Hill Education.
Trang 63Keisha 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?
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Trang 64McGraw-Hill Education.
Trang 65How long will it take an investment of $25,000 at 6% compounded annually to accumulate to a total of $35,462.50?
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Trang 66McGraw-Hill Education.
Trang 67What interest rate is required to accumulate $6,802.50 in four years from an investment of $5,000?
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Trang 68McGraw-Hill Education.
Trang 69Russell 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?
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Trang 70McGraw-Hill Education.
Trang 71Marc 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?
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Trang 72McGraw-Hill Education.
Trang 73A 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
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Trang 74McGraw-Hill Education.
Trang 75What amount can you borrow if you make six quarterly payments of $4,000 at a 12 % annual rate of interest?
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Trang 76McGraw-Hill Education.
Trang 77What amount can you borrow if you make seven semiannual payments of $4,000 at
an 8% annual rate of interest?
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Trang 78McGraw-Hill Education.
Trang 79An 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?
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Trang 80McGraw-Hill Education.
Trang 81An 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?
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Trang 82McGraw-Hill Education.
Trang 83Clara 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?
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Trang 84McGraw-Hill Education.
Trang 85The 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?
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Trang 86McGraw-Hill Education.
Trang 87A 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
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Trang 88McGraw-Hill Education.
Trang 89Jackson 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?
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Trang 90McGraw-Hill Education.
Trang 91A 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?
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Trang 92McGraw-Hill Education.
Trang 93Define interest
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Trang 94McGraw-Hill Education.
Trang 95Explain the concept of the present value of a single amount
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Trang 96McGraw-Hill Education.
Trang 97Explain the concept of the future value of a single amount
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Trang 98McGraw-Hill Education.
Trang 99Explain the concept of the present value of an annuity
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Trang 100McGraw-Hill Education.
Trang 101Explain the concept of the future value of an annuity
Essay Questions
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Trang 102McGraw-Hill Education.
Trang 103A 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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Trang 104McGraw-Hill Education.
Trang 105A 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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Trang 106McGraw-Hill Education.
Trang 107Kelsey 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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Trang 108McGraw-Hill Education.
Trang 109Jackson 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?
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Trang 110McGraw-Hill Education.
Trang 111Mason 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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