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In answering which of the following questions would you find it necessary to calculate a future value?


A) If Jill puts $5,000 today into a bank account that pays 3 percent interest,then how much will she have in the account after 2 years?
B) Should ABC Corporation buy a factory today for $2 million,knowing that the factory will yield the corporation $3 million after 5 years?
C) As the winner of a lottery,should Michael choose an immediate payment of $250,000 or should he choose annual payments of $30,000 for each of the next 10 years?
D) You would find it necessary to calculate a future value in order to answer all of these questions.

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

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Suppose you win a small lottery and you are given the following choice: You can receive (1) an immediate payment of $10,000 or (2) two annual payments,each in the amount of $5,200,with the first payment coming one year from now,and the second payment coming two years from now.You would choose to take the immediate payment of $10,000 if the interest rate is


A) 2 percent,but not if the interest rate is 1 percent.
B) 3 percent,but not if the interest rate is 2 percent.
C) 4 percent,but not if the interest rate is 3 percent.
D) 5 percent,but not if the interest rate is 4 percent.

E) A) and B)
F) C) and D)

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If you presently have $50,000 saved and earn 15 percent interest per year,about how many years will it take for your investment to triple?


A) 6
B) 8
C) 10
D) 12

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

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Which of the following changes would increase the present value of a future payment?


A) a decrease in the size of the payment
B) a decrease in the time until the payment is made
C) an increase in the interest rate
D) All of the above are correct.

E) None of the above
F) A) and B)

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Given that Tamar is a risk-averse person,she might accept a bet with a 50 percent chance of losing $100 today if she had a 50 percent


A) chance of winning $120 in two years and the interest rate was 11%.
B) chance of winning $114 in two years and the interest rate was 7%.
C) chance of winning $110 in two years and the interest rate was 3%.
D) None of the above are correct; a risk averse person would not accept any of the above bets.

E) None of the above
F) All of the above

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You could borrow $1,000 today from Bank A and repay the loan,with interest,by paying Bank A $1,060 one year from today.Or,you could borrow $1,500 today from Bank B and repay the loan,with interest,by paying Bank B $1,600 one year from today.Which of the following statements is correct?


A) The interest rate on the loan from Bank A is higher than the interest rate on the loan from Bank B.
B) The interest rate on the loan from Bank A is lower than the interest rate on the loan from Bank B.
C) The interest rates on the two loans are the same.
D) There is not enough information to determine which loan has the higher interest rate.

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

Correct Answer

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Kayla faces risks and she pays a fee to ABC Company; in return,ABC Company agrees to accept some or all of Kayla's risks.ABC Company is


A) a mutual fund.
B) an insurance company.
C) a diversified company.
D) an equity-financed company.

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

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Four years ago Ollie deposited some money into an account.He earned 5 percent interest on this account and now it has a balance of $303.88.About how much money did Ollie deposit into his account when he opened it?


A) $210
B) $220
C) $240
D) $250

E) B) and C)
F) B) and D)

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When you rent a car,you might treat it with less care than you would if it were your own.This is an example of


A) market risk.
B) moral hazard.
C) adverse selection.
D) risk aversion.

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

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Suppose you put $500 into a bank account today.Interest is paid annually and the annual interest rate is 5.5 percent.The future value of the $500 is


A) $637.50 after 5 years and $822.09 after 10 years.
B) $637.50 after 5 years and $775.00 after 10 years.
C) $653.48 after 5 years and $854.07 after 10 years.
D) $688.36 after 5 years and $915.56 after 10 years.

E) A) and D)
F) B) and C)

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If you deposit $900 into an account for two years and the interest rate is 4%,how much do you have at the end of the two years?


A) $972.00
B) $973.44
C) $974.19
D) None of the above is correct.

E) None of the above
F) A) and D)

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Suppose you win a small lottery and you are given the following choice: You can (1) receive an immediate payment of $10,000 or (2) three annual payments,each in the amount of $3,600,with the first payment coming one year from now,the second two years from now,and the third three years from now.You would choose to take the three annual payments if the interest rate is


A) 2 percent,but not if the interest rate is 3 percent.
B) 3 percent,but not if the interest rate is 4 percent.
C) 4 percent,but not if the interest rate is 5 percent.
D) 5 percent,but not if the interest rate is 6 percent.

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

Correct Answer

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On the Internet you find the following offers for opening an online account.Which of them is the best offer if you have $2,000 to save for two years?


A) an interest rate of 5 percent,with the bank charging you a $15 processing fee at the time you open your account
B) an interest rate of 3.5 percent,with the bank giving you a $35 bonus to open your account
C) an interest rate of 4 percent,with the bank giving you a $20 bonus at the time you open your account
D) an interest rate of 4.5 percent,with no processing fee and no bonus

E) A) and B)
F) C) and D)

Correct Answer

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Risk aversion helps to explain various things we observe in the economy,including


A) adherence to the old adage,"Don't put all your eggs in one basket."
B) insurance.
C) the risk-return trade-off.
D) All of the above are correct.

E) A) and D)
F) None of the above

Correct Answer

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According to the efficient market hypothesis


A) changes in the prices of stocks are predictable.Evidence shows that managed funds typically do better than indexed funds.
B) changes in the prices of stocks are predictable.Evidence shows that indexed funds typically do better than managed funds.
C) changes in the prices of stocks are not predictable.Evidence shows that managed funds typically do better than indexed funds.
D) changes in the prices of stocks are not predictable.Evidence shows that indexed funds typically do better than managed funds.

E) B) and D)
F) B) and C)

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A company that produces computer peripherals is considering buying some new equipment that it expects will increase future profits.If the interest rate rises,the present value of these future earnings


A) rises.The company is more likely to buy the equipment.
B) rises.The company is less likely to buy the equipment.
C) falls.The company is more likely to buy the equipment.
D) falls.The company is less likely to buy the equipment.

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

Correct Answer

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Which of the following is the correct expression for finding the present value of a $500 payment two years from today if the interest rate is 4 percent?


A) $500/(1.04) 2
B) $500 - 500(1.04) 2
C) $500 - $500/(.04) 2
D) None of the above is correct.

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

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Janelle offers you $1,000 today or $1,500 in 5 years.You would prefer to take the $1,500 in 5 years if the interest rate is


A) 8 percent.
B) 9 percent.
C) 10 percent.
D) All of the above are correct.

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

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A firm has three different investment options.Option A will give the firm $10 million at the end of one year,$10 million at the end of two years,and $10 million at the end of three years.Option B will give the firm $15 million at the end of one year,$10 million at the end of two years,and $5 million at the end of three years.Option C will give the firm $30 million at the end of one year,and nothing thereafter.Which of these options has the highest present value?


A) Option A
B) Option B
C) Option C
D) The answer depends on the rate of interest,which is not specified here.

E) B) and D)
F) A) and C)

Correct Answer

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You want to have $100,000 in five years.If the interest rate is 8 percent,about how much do you need to have today?


A) $66,225.25
B) $67,556.42
C) $68,058.32
D) $71,428.57

E) C) and D)
F) A) and B)

Correct Answer

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