Exam 7: An Introduction to Portfolio Management

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Exhibit 7.3 USE THE INFORMATION BELOW FOR THE FOLLOWING PROBLEM(S)  Exhibit 7.3 USE THE INFORMATION BELOW FOR THE FOLLOWING PROBLEM(S)    -Refer to Exhibit 7.3. What is the expected return of a portfolio of two risky assets if the expected return E(R<sub>i</sub>), standard deviation ( \sigma <sub>i</sub>), covariance (COV<sub>i,j</sub>), and asset weight (W<sub>i</sub>) are as shown above? -Refer to Exhibit 7.3. What is the expected return of a portfolio of two risky assets if the expected return E(Ri), standard deviation ( σ\sigma i), covariance (COVi,j), and asset weight (Wi) are as shown above?

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What is the expected return of the three stock portfolio described below? What is the expected return of the three stock portfolio described below?

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When assessing the risk impact of adding a new security to a portfolio, it is necessary to consider the

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Exhibit 7.2 USE THE INFORMATION BELOW FOR THE FOLLOWING PROBLEM(S) Exhibit 7.2 USE THE INFORMATION BELOW FOR THE FOLLOWING PROBLEM(S)    -Refer to Exhibit 7.2. What is the standard deviation of this portfolio? -Refer to Exhibit 7.2. What is the standard deviation of this portfolio?

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Exhibit 7.3 USE THE INFORMATION BELOW FOR THE FOLLOWING PROBLEM(S) Exhibit 7.3 USE THE INFORMATION BELOW FOR THE FOLLOWING PROBLEM(S)    -Refer to Exhibit 7.3. What is the standard deviation of this portfolio? -Refer to Exhibit 7.3. What is the standard deviation of this portfolio?

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What is the expected return of the three stock portfolio described below? What is the expected return of the three stock portfolio described below?

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Exhibit 7.5 USE THE INFORMATION BELOW FOR THE FOLLOWING PROBLEM(S)  Exhibit 7.5 USE THE INFORMATION BELOW FOR THE FOLLOWING PROBLEM(S)    -Refer to Exhibit 7.5. What is the expected return of a portfolio of two risky assets if the expected return E(R<sub>i</sub>), standard deviation ( \sigma <sub>i</sub>), covariance (COV<sub>i,j</sub>), and asset weight (W<sub>i</sub>) are as shown above? -Refer to Exhibit 7.5. What is the expected return of a portfolio of two risky assets if the expected return E(Ri), standard deviation ( σ\sigma i), covariance (COVi,j), and asset weight (Wi) are as shown above?

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The correlation coefficient and the covariance are measures of the extent to which two random variables move together.

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Exhibit 7.1 USE THE INFORMATION BELOW FOR THE FOLLOWING PROBLEM(S) Exhibit 7.1 USE THE INFORMATION BELOW FOR THE FOLLOWING PROBLEM(S)    -Refer to Exhibit 7.1. What is the standard deviation of this portfolio? -Refer to Exhibit 7.1. What is the standard deviation of this portfolio?

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A portfolio of two securities that are perfectly positively correlated has

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What is the expected return of the three stock portfolio described below? What is the expected return of the three stock portfolio described below?

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An investor is risk neutral if she chooses the asset with lower risk given a choice of several assets with equal returns.

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Given a portfolio of stocks, the envelope curve containing the set of best possible combinations is known as the

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Exhibit 7.13 USE THE INFORMATION BELOW FOR THE FOLLOWING PROBLEM(S) A financial analyst covering Magnum Oil has determined the following four possible returns given four different states of the economy over the next period. Exhibit 7.13 USE THE INFORMATION BELOW FOR THE FOLLOWING PROBLEM(S) A financial analyst covering Magnum Oil has determined the following four possible returns given four different states of the economy over the next period.    -Refer to Exhibit 7.13. Calculate the expected return for Magnum Oil. -Refer to Exhibit 7.13. Calculate the expected return for Magnum Oil.

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The set of portfolios with the maximum rate of return for every given risk level is known as the optimal frontier.

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Exhibit 7B.1 USE THE INFORMATION BELOW FOR THE FOLLOWING PROBLEM(S) The general equation for the weight of the first security to achieve the minimum variance (in a two stock portfolio) is given by: W1 = [E( σ\sigma 1)2 - r1.2 E( σ\sigma 1) E( σ\sigma 2)] /[E( σ\sigma 1)2 + E( σ\sigma 2)2 - 2 r1.2 E( σ\sigma 1) E( σ\sigma 2)] -Refer to Exhibit 7B.1. What is the value of W1 when r1.2 = -1 and E( σ\sigma 1) = .10 and E( σ\sigma 2) = .12?

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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. 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.    -Refer to Exhibit 7.14. What percentage of stock A should be invested to obtain the minimum risk portfolio that contains stock A and B? -Refer to Exhibit 7.14. What percentage of stock A should be invested to obtain the minimum risk portfolio that contains stock A and B?

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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 most important criteria when adding new investments to a portfolio is the

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Exhibit 7.13 USE THE INFORMATION BELOW FOR THE FOLLOWING PROBLEM(S) A financial analyst covering Magnum Oil has determined the following four possible returns given four different states of the economy over the next period. Exhibit 7.13 USE THE INFORMATION BELOW FOR THE FOLLOWING PROBLEM(S) A financial analyst covering Magnum Oil has determined the following four possible returns given four different states of the economy over the next period.    -Refer to Exhibit 7.13. Calculate the standard deviation for Magnum Oil. -Refer to Exhibit 7.13. Calculate the standard deviation for Magnum Oil.

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