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You have $500,000 available to invest. The risk-free rate, as well as your borrowing rate, is 8%. The return on the risky portfolio is 16%. If you wish to earn a 22% return, you should ________.


A) invest $125,000 in the risk-free asset
B) invest $375,000 in the risk-free asset
C) borrow $125,000
D) borrow $375,000

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

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The return on the risky portfolio is 15%. The risk-free rate, as well as the investor's borrowing rate, is 10%. The standard deviation of return on the risky portfolio is 20%. If the standard deviation on the complete portfolio is 25%, the expected return on the complete portfolio is ________.


A) 6%
B) 8.75 %
C) 10%
D) 16.25%

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

Correct Answer

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You invest $1,000 in a complete portfolio. The complete portfolio is composed of a risky asset with an expected rate of return of 16% and a standard deviation of 20% and a Treasury bill with a rate of return of 6%. ________ of your complete portfolio should be invested in the risky portfolio if you want your complete portfolio to have a standard deviation of 9%.


A) 100%
B) 90%
C) 45%
D) 10%

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

Correct Answer

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The arithmetic average of -11%, 15%, and 20% is ________.


A) 15.67%
B) 8%
C) 11.22%
D) 6.45%

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

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Security A has a higher standard deviation of returns than security B. We would expect that: I. Security A would have a risk premium equal to security B. II. The likely range of returns for security A in any given year would be higher than the likely range of returns for security B. III. The Sharpe ratio of A will be higher than the Sharpe ratio of B.


A) I only
B) II only
C) II and III only
D) I, II, and III

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

Correct Answer

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During the 1926-2013 period which one of the following asset classes provided the lowest real return?


A) Small U.S. stocks
B) Large U.S. stocks
C) Long-term U.S. Treasury bonds
D) Equity world portfolio in U.S. dollars

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

Correct Answer

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Which one of the following measures time-weighted returns and allows for compounding?


A) geometric average return
B) arithmetic average return
C) dollar-weighted return
D) historical average return

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

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From 1926 to 2013 the world stock portfolio offered ________ return and ________ volatility than the portfolio of large U.S. stocks.


A) lower; higher
B) lower; lower
C) higher; lower
D) higher; higher

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

Correct Answer

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The holding period return on a stock is equal to ________.


A) the capital gain yield over the period plus the inflation rate
B) the capital gain yield over the period plus the dividend yield
C) the current yield plus the dividend yield
D) the dividend yield plus the risk premium

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

Correct Answer

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