Exam 11: Optimal Portfolio Choice and the Capital Asset Pricing Model

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Use the table for the question(s)below. Consider the following three individuals portfolios consisting of investments in four stocks: Use the table for the question(s)below. Consider the following three individuals portfolios consisting of investments in four stocks:    -Assuming that the risk-free rate is 4% and the expected return on the market is 12%,then required return on Peter's portfolio is closest to: -Assuming that the risk-free rate is 4% and the expected return on the market is 12%,then required return on Peter's portfolio is closest to:

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Suppose that you want to maximize your expected return without increasing your risk.How can you achieve this goal? Without increasing your risk,what is the maximum expected return you can expect?

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By investing in a combination of the risk-free asset and the efficient portfolio.We find the weights and expected returns as follows: SD( Rxp)= xSD(Rp) .10 = x(.12) x = .10/.12 x = .833333 invested in the efficient portfolio So,E[Rxp] = rf + x(E[Rp] - rf) = .05 + .8333(.17 - .05)= .15 or 15%

Use the table for the question(s)below. Consider the following covariances between securities: Use the table for the question(s)below. Consider the following covariances between securities:    -The variance on a portfolio that is made up of a $6000 investments in Microsoft and a $4000 investment in Wal-Mart stock is closest to: -The variance on a portfolio that is made up of a $6000 investments in Microsoft and a $4000 investment in Wal-Mart stock is closest to:

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Total invested = $6000 + $4000 = $10,000 XMicrosoft = Total invested = $6000 + $4000 = $10,000 X<sub>Microsoft</sub> =   = .60 X<sub>Wal-Mart</sub> =   = .40 Var(R<sub>p</sub>)= x<sub>1</sub><sup>2</sup><sup>Var</sup>(R<sub>1</sub>)+ x<sub>2</sub><sup>2</sup><sup>Var</sup>(R<sub>2</sub>)+ 2X<sub>1</sub>X<sub>2</sub>Cov(R<sub>1</sub>,R<sub>2</sub>) = (.60)<sup>2</sup>(0.2420)+ (.40)<sup>2</sup>(0.1413)+ 2(.6)(.4)(0.1277)= 0.1710 = .60 XWal-Mart = Total invested = $6000 + $4000 = $10,000 X<sub>Microsoft</sub> =   = .60 X<sub>Wal-Mart</sub> =   = .40 Var(R<sub>p</sub>)= x<sub>1</sub><sup>2</sup><sup>Var</sup>(R<sub>1</sub>)+ x<sub>2</sub><sup>2</sup><sup>Var</sup>(R<sub>2</sub>)+ 2X<sub>1</sub>X<sub>2</sub>Cov(R<sub>1</sub>,R<sub>2</sub>) = (.60)<sup>2</sup>(0.2420)+ (.40)<sup>2</sup>(0.1413)+ 2(.6)(.4)(0.1277)= 0.1710 = .40 Var(Rp)= x12Var(R1)+ x22Var(R2)+ 2X1X2Cov(R1,R2) = (.60)2(0.2420)+ (.40)2(0.1413)+ 2(.6)(.4)(0.1277)= 0.1710

The expected return of a portfolio that consists of a long position of $10,000 in Wal-Mart and a short position of $2000 in Microsoft is closest to:

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Which of the following statements is FALSE?

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Use the following information to answer the question(s)below. Use the following information to answer the question(s)below.    The volatility of the market portfolio is 10%,the expected return on the market is 12%,and the risk-free rate of interest is 4%. -The beta of the precious metals fund with the Luther Fund   is closest to: The volatility of the market portfolio is 10%,the expected return on the market is 12%,and the risk-free rate of interest is 4%. -The beta of the precious metals fund with the Luther Fund Use the following information to answer the question(s)below.    The volatility of the market portfolio is 10%,the expected return on the market is 12%,and the risk-free rate of interest is 4%. -The beta of the precious metals fund with the Luther Fund   is closest to: is closest to:

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Use the table for the question(s)below. Consider the following returns: Use the table for the question(s)below. Consider the following returns:    -Calculate the variance on a portfolio that is made up of equal investments in Stock Y and Stock Z stock. -Calculate the variance on a portfolio that is made up of equal investments in Stock Y and Stock Z stock.

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Which of the following equations is INCORRECT?

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Which of the following statements is FALSE?

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Use the following information to answer the question(s)below. Use the following information to answer the question(s)below.    The volatility of the market portfolio is 10%,the expected return on the market is 12%,and the risk-free rate of interest is 4%. -Suppose that Google stock has a beta of 1.06 and Boeing stock has a beta of 1.31.If the risk-free interest rate is 4% and the expected return from the market portfolio is 12%,then the expected return on a portfolio that consists of 30% Google stock and 70% Boeing stock is closest to: The volatility of the market portfolio is 10%,the expected return on the market is 12%,and the risk-free rate of interest is 4%. -Suppose that Google stock has a beta of 1.06 and Boeing stock has a beta of 1.31.If the risk-free interest rate is 4% and the expected return from the market portfolio is 12%,then the expected return on a portfolio that consists of 30% Google stock and 70% Boeing stock is closest to:

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Which of the following statements is FALSE?

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Which of the following statements is FALSE?

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Which of the following statements is FALSE?

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Use the following information to answer the question(s)below. Use the following information to answer the question(s)below.    The volatility of the market portfolio is 10%,the expected return on the market is 12%,and the risk-free rate of interest is 4%. -The beta for Sisyphean's new project is closest to: The volatility of the market portfolio is 10%,the expected return on the market is 12%,and the risk-free rate of interest is 4%. -The beta for Sisyphean's new project is closest to:

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Use the following information to answer the question(s)below. Use the following information to answer the question(s)below.    The volatility of the market portfolio is 10%,the expected return on the market is 12%,and the risk-free rate of interest is 4%. -The Sharpe Ratio for Wyatt Oil is closest to: The volatility of the market portfolio is 10%,the expected return on the market is 12%,and the risk-free rate of interest is 4%. -The Sharpe Ratio for Wyatt Oil is closest to:

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California Gold Mining's required return is closest to:

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The volatility of a portfolio that consists of a long position of $10,000 in Wal-Mart and a short position of $2000 in Microsoft is closest to:

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The expected return of a portfolio that is equally invested in Duke Energy and Microsoft is closest to:

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Use the following information to answer the question(s)below. Suppose that all stocks can be grouped into two mutually exclusive portfolios (with each stock appearing in only one portfolio): growth stocks and value stocks.Assume that these two portfolios are equal in size (market value),the correlation of their returns is equal to 0.6,and the portfolios have the following characteristics: Use the following information to answer the question(s)below. Suppose that all stocks can be grouped into two mutually exclusive portfolios (with each stock appearing in only one portfolio): growth stocks and value stocks.Assume that these two portfolios are equal in size (market value),the correlation of their returns is equal to 0.6,and the portfolios have the following characteristics:    The risk free rate is 3.5%. -The Sharpe ratio for the market (which is a 50-50 combination of the value and growth portfolios)portfolio is closest to: The risk free rate is 3.5%. -The Sharpe ratio for the market (which is a 50-50 combination of the value and growth portfolios)portfolio is closest to:

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You currently own $100,000 worth of Wal-Mart stock.Suppose that Wal-Mart has an expected return of 14% and a volatility of 23%.The market portfolio has an expected return of 12% and a volatility of 16%.The risk-free rate is 5%.Assuming the CAPM assumptions hold,what alternative investment has the highest possible expected return while having the same volatility as Wal-Mart? What is the expected return of this portfolio?

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