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Scenario 27-2 Suppose Dave has a utility function Scenario 27-2 Suppose Dave has a utility function   where W is his wealth in millions of dollars and U is the utility he obtains. -Refer to Scenario 27-2. Is Dave risk averse? Explain. where W is his wealth in millions of dollars and U is the utility he obtains. -Refer to Scenario 27-2. Is Dave risk averse? Explain.

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Yes, Dave is risk averse. The ...

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Demonstrate that whether you would prefer to have $225 today or wait five years for $300 depends on the interest rate. Show your work.

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For example at 3 percent the p...

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Figure 27-2. The figure shows a utility function for Britney. Figure 27-2. The figure shows a utility function for Britney.   -Refer to Figure 27-2. From the appearance of the utility function, we know that A) if Britney owns a house, she would not consider buying fire insurance. B) Britney would prefer to hold a portfolio of stocks with an average return of 8 percent and a standard deviation of 2 percent to a portfolio of stocks with an average return of 8 percent and a standard deviation of 5 percent. C) Britney would prefer to hold a portfolio of stocks with an average return of 8 percent and a standard deviation of 5 percent to a portfolio of stocks with an average return of 6 percent and a standard deviation of 3 percent. D) All of the above are correct. -Refer to Figure 27-2. From the appearance of the utility function, we know that


A) if Britney owns a house, she would not consider buying fire insurance.
B) Britney would prefer to hold a portfolio of stocks with an average return of 8 percent and a standard deviation of 2 percent to a portfolio of stocks with an average return of 8 percent and a standard deviation of 5 percent.
C) Britney would prefer to hold a portfolio of stocks with an average return of 8 percent and a standard deviation of 5 percent to a portfolio of stocks with an average return of 6 percent and a standard deviation of 3 percent.
D) All of the above are correct.

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

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​Suppose you have a choice between receiving a lump-sum payment of $10,000 today or four annual payments of $2,750 (with the first payment today) . Of the following, which is the lowest annual interest rate at which you would prefer the lump-sum payment over the four annual payments?


A) 2%
B) ​5%
C) ​7%
D) ​10%

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

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Most financial decisions involve two related elements:


A) advice and consent.
B) investment and taxes.
C) time and risk.
D) saving and consumption.

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

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If the interest rate is 4%, in which of the following cases is the future value the largest?


A) An initial value of $1,000 deposited for 5 years.
B) An initial value of $950 deposited for 6 years.
C) An initial value of $900 deposited for 7 years.
D) An initial value of $850 deposited for 8 years.

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

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If a person had increasing marginal utility, then the decline in utility from losing $1,000 would be greater than the increase in utility from gaining $1,000.

A) True
B) False

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Suppose the interest rate is 4 percent. Which of the following has the greatest present value?


A) $100 today plus $190 one year from today
B) $150 today plus $140 one year from today
C) $200 today plus $90 one year from today
D) $250 today plus $40 one year from today

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

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A high-ranking corporate official of a well-known company is unexpectedly sentenced to prison for criminal activity in trading stocks. This should


A) raise the price and raise the present value of the corporation's stock.
B) raise the price and lower the present value of the corporation's stock.
C) lower the price and raise the present value of the corporation's stock.
D) lower the price and lower the present value of the corporation's stock.

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

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The present value of a payment of $500 to be made two years from today is greater if the interest rate is 7% than if it is 6%.

A) True
B) False

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What is the present value of a payment of $200 to be made one year from today if the interest rate is 10 percent?


A) $180
B) $181.82
C) $220
D) $222.22

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

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Robert put $15,000 into an account with a fixed interest rate two years ago and now the account balance is $16,917.66. What rate of interest did Robert earn?


A) 4.5 percent
B) 5.4 percent
C) 6.2 percent
D) 8.0 percent

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

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The risk of a portfolio


A) increases as the number of stocks in the portfolio increases.
B) is usually measured using a statistic called the standard diversification.
C) is positively related to the average return of the portfolio.
D) bears no relationship to the average return of the portfolio.

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

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Which of the following actions best illustrates adverse selection?


A) A person purposely chooses bonds of corporations with high default risk because of the high returns.
B) A person dislikes losing $400 more than he likes winning $400.
C) After obtaining automobile insurance a person drives less carefully than before.
D) A person intending to take up dangerous hobbies applies for life insurance.

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

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Suppose the interest rate is 5 percent. Consider three payment options: 1) $500 today. 2) $520 one year from today. 3) $550 two years from today. Which of the following is correct?


A) 1 has the lowest present value and 3 has the highest.
B) 2 has the lowest present value and 1 has the highest.
C) 3 has the lowest present value and 2 has the highest.
D) None of the above is correct.

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

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Economists have developed models of risk aversion using the concept of


A) utility and the associated assumption of diminishing marginal utility.
B) utility and the associated assumption of increasing marginal utility.
C) income and the associated assumption of diminishing marginal wealth.
D) income and the associated assumption of increasing marginal wealth.

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

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


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

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

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Suppose you invest $10,000 at 7% interest to be withdrawn by your heirs in 100 years. According to the rule of 70, approximately how much will your heirs be able to withdraw?

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With a 7% interest rate the rule of 70 i...

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

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Which of the following is the correct way to compute the future value of $1 put into an account that earns 5 percent interest for 16 years?


A) $1(1 + .05) 16
B) $1(1 + .05 Which of the following is the correct way to compute the future value of $1 put into an account that earns 5 percent interest for 16 years? A) $1(1 + .05) <sup>16</sup> B) $1(1 + .05   16)    16 C) $1(1 + .05   16)  D) $1(1 + 16/.05) <sup>16</sup> 16) Which of the following is the correct way to compute the future value of $1 put into an account that earns 5 percent interest for 16 years? A) $1(1 + .05) <sup>16</sup> B) $1(1 + .05   16)    16 C) $1(1 + .05   16)  D) $1(1 + 16/.05) <sup>16</sup> 16
C) $1(1 + .05 Which of the following is the correct way to compute the future value of $1 put into an account that earns 5 percent interest for 16 years? A) $1(1 + .05) <sup>16</sup> B) $1(1 + .05   16)    16 C) $1(1 + .05   16)  D) $1(1 + 16/.05) <sup>16</sup> 16)
D) $1(1 + 16/.05) 16

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

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