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A company has an investment project that will cost $2 million today and yield a payoff of $3 million in 5 years. What interest rate represents the cutoff between profitability and nonprofitability for this project?

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The present value of the futur...

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At which interest rate is the present value of $360 three years from today equal to about $310 today?


A) 4.7 percent
B) 5.1 percent
C) 5.5 percent
D) 5.9 percent

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

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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 B)
F) B) and D)

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David's Utility Function David's Utility Function   If David's current wealth is $61,000, then A) his gain in utility from gaining $1,000 is less than his loss in utility from losing $1,000. David is risk averse. B) his gain in utility from gaining $1,000 is less than his loss in utility from losing $1,000. David is not risk averse. C) his gain in utility from gaining $1,000 is greater than his loss in utility from losing $1,000. David is risk averse. D) his gain in utility from gaining $1,000 is greater than his loss in utility from losing $1,000. David is not risk averse. If David's current wealth is $61,000, then


A) his gain in utility from gaining $1,000 is less than his loss in utility from losing $1,000. David is risk averse.
B) his gain in utility from gaining $1,000 is less than his loss in utility from losing $1,000. David is not risk averse.
C) his gain in utility from gaining $1,000 is greater than his loss in utility from losing $1,000. David is risk averse.
D) his gain in utility from gaining $1,000 is greater than his loss in utility from losing $1,000. David is not risk averse.

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

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At an annual interest rate of 14 percent, about how many years will it take $100 to double in value?


A) 3
B) 4
C) 5
D) 7

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

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You are expecting to receive $750 at some time in the future. Which of the following would unambiguously decrease the present value of this future payment?


A) Interest rates rise and you get the payment sooner.
B) Interest rates rise and you have to wait longer for the payment.
C) Interest rates fall and you get the payment sooner.
D) Interest rates fall and you have to wait longer to get the payment.

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

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Which of the following has a present value of $100?


A) $109.12 in two years when the interest rate is 4 percent
B) $113.98 in two years when the interest rate is 6 percent
C) $116.64 in two years when the interest rate is 8 percent
D) $123.17 in two years when the interest rate is 10 percent

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

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Imagine that two years ago you inherited $20,000 and put it into an account paying a fixed 8 percent annual interest rate. How much money do you have in your account now?


A) $22,880.00
B) $23,200.00
C) $23,232.00
D) $23,328.00

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

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Fundamental analysis is


A) the study of the relation between risk and return of stock portfolios.
B) the determination of the allocation of savings between stocks and bonds based on a person's degree of risk aversion.
C) the study of a company's accounting statements and future prospects to determine its value.
D) a method used to determine how adding stocks to a portfolio will change the risk of the portfolio.

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

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Thompson Corporation is considering the purchase of a new piece of machinery. Thompson expects the new machinery to increase its revenues by $70,000 at the end of year 1, $60,000 at the end of year 2, and $50,000 at the end of year 3 at which point the machinery will have exhausted its useful life. If the interest rate is 4%, what is the most Thompson should be willing to pay today for this piece of machinery?

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The present value of the futur...

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Fundamental analysis shows that stock in Widgets-R-Us has a present value that is lower than its price.


A) This stock is overvalued; you should consider adding it to your portfolio.
B) This stock is overvalued; you shouldn't consider adding it to your portfolio.
C) This stock is undervalued; you should consider adding it to your portfolio.
D) This stock is undervalued; you shouldn't consider adding it to your portfolio.

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

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Which of the following is the correct way to compute the future value of $X that earns r percent interest for N years?


A) $X(1 + rN) N
B) $X(1 + r) N
C) $X(1 + rN)
D) $X(1 + r/N) N

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

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Lucretia puts $400 into an account when the interest rate is 10 percent. Later she checks her balance and finds it's worth about $708.62. How many years did she wait to check her balance?


A) 5 years
B) 6 years
C) 7 years
D) 8 years

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

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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 one year from 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) B) and C)
F) A) and D)

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Twenty years ago, Dr. Montgomery borrowed money from her parents to pay her tuition at graduate school. Now she wants to pay them back. She gives them double what they gave her. According to the rule of 70, what interest rate would have given her parents the same amount of money if they had put it in the bank rather than lending it to their daughter?


A) 3.5 percent
B) 4.5 percent
C) 5 percent
D) 7 percent

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

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If the interest rate is 5 percent, then what is the present value of $2,000 to be received in three years?

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The presen...

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Which of the following is the correct way to compute the future value of $100 put into an account that earns 4 percent interest for 10 years?


A) $100(1 + .0410)
B) $100(1 + .04 Which of the following is the correct way to compute the future value of $100 put into an account that earns 4 percent interest for 10 years? A) $100(1 + .04<sup>10</sup>)  B) $100(1 + .04   10)  C) $100 × 10   (1 + .04)  D) $100(1 + .04) <sup>10</sup> 10)
C) $100 × 10 Which of the following is the correct way to compute the future value of $100 put into an account that earns 4 percent interest for 10 years? A) $100(1 + .04<sup>10</sup>)  B) $100(1 + .04   10)  C) $100 × 10   (1 + .04)  D) $100(1 + .04) <sup>10</sup> (1 + .04)
D) $100(1 + .04) 10

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

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A judge requires Harry to make a payment to Sally. The judge says that Harry can pay her either $10,000 today or $12,000 two years from today. Of the following interest rates, which is the highest one at which Harry would be better off paying the money today?


A) 4 percent
B) 6 percent
C) 9 percent
D) 11 percent

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

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What is the present value of a payment of $2,000 to be received two years from today if the interest rate is 5%?


A) $2205
B) $2200
C) $1818.18
D) $1814.06

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

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In the 15 years ending February 2016, most active portfolio managers failed to beat the market.

A) True
B) False

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