Exam 7: An Introduction to Portfolio Management

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Prior to the work of Markowitz in the late 1950's and early 1960's,portfolio managers did not have a well-developed,quantitative means of measuring risk.

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In a three asset portfolio the standard deviation of the portfolio is one third of the square root of the sum of the individual standard deviations.

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Exhibit 7.4 Use the Information Below for the Following Problem(S) Asset(A) Asset (B) =1[\% =\% =6\% =5\% =0.3 =0.7 CO=0.0008 -Refer to Exhibit 7.4.What is the standard deviation of this portfolio?

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Exhibit 7.8 Use the Information Below for the Following Problem(S) Asser(A) Asset ( B) =1[\% =14\% =7/ =8\% =0.7 =0.3 CO=0.0013 -Refer to Exhibit 7.8.What is the standard deviation of this portfolio?

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The Markowitz model is based on several assumptions regarding investor behavior.Which of the following is not such any assumption?

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If the covariance of two stocks is positive,these stocks tend to move together over time.

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All of the following are common risk measurements except

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Exhibit 7.10 Use the Information Below for the Following Problem(S) Asset(A) Asset(B) =16\% =14\% =3\% =0\% =0.5 =0.5 CO=0.0014 -Refer to Exhibit 7.10.What is the standard deviation of this portfolio?

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You are given a two asset portfolio with a fixed correlation coefficient.If the weights of the two assets are varied the expected portfolio return would be ____ and the expected portfolio standard deviation would be ____.

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The optimal portfolio is identified at the point of tangency between the efficient frontier and the

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Exhibit 7.1 Use the Information Below for the Following Problem(S) Asset (A) Asset (B) =10\% E =15\% =8\% =9.5\% =0.25 =0.75 =0.006 -Refer to Exhibit 7.1.What is the standard deviation of this portfolio?

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Exhibit 7.15 Use the Information Below for the Following Problem(S) Asset () Asset () =14\% =16\% =13\% =18\% =0.4 =0.6                 COVAB=0.0024\mathrm{COV}_{\mathrm{AB}}=0.0024 -Refer to Exhibit 7.15.What is the standard deviation of this portfolio?

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Exhibit 7.2 Use the Information Below for the Following Problem(S) +(A) AEEE () E =25\% E =15\% =19\% =11\% =0.75 =0.25 CO=-0.0009 -Refer to Exhibit 7.2.What is the standard deviation of this portfolio?

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Between 1980 and 1990,the standard deviation of the returns for the NIKKEI and the DJIA indexes were 0.19 and 0.06,respectively,and the covariance of these index returns was 0.0014.What was the correlation coefficient between the two market indicators?

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A positive relationship between expected return and expected risk is consistent with

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Exhibit 7.5 Use the Information Below for the Following Problem(S) Asset (A) Asset () =8\% =15\% =7\% =10\% =0.4 =0.6 =0.0006 -Refer to Exhibit 7.5.What is the expected return of a portfolio of two risky assets if the expected return E(R?),standard deviation (s?),covariance (COV?,?),and asset weight (W?)are as shown above?

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Investors choose a portfolio on the efficient frontier based on their utility functions that reflect their attitudes towards risk.

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Exhibit 7.6 Use the Information Below for the Following Problem(S) Asset(A) Asset(B) =16\% =10\% =9\% =7/ =0.5 =0.5 CO=0.0009 -Refer to Exhibit 7.6.What is the expected return of a portfolio of two risky assets if the expected return E(R?),standard deviation (s?),covariance (COV?,?),and asset weight (W?)are as shown above?

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Between 1975 and 1985,the standard deviation of the returns for the NYSE and the S&P 500 indexes were 0.06 and 0.07,respectively,and the covariance of these index returns was 0.0008.What was the correlation coefficient between the two market indicators?

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Exhibit 7.14 Use the Information Below for the Following Problem(S) Stocks A and B have a correlation coefficient of -0.8. The stocks' expected returns and standard deviations are in the table below. A portfolio consisting of 40% of stock A and 60% of stock B is constructed. Stack Expected Return Standard Devintion A 20\% 25\% B 15\% 19\% -Refer to Exhibit 7.14.What is the standard deviation of the stock A and B portfolio?

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