Exam 9: Multifactor Models of Risk and Return

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A study by Chen, Roll, and Ross in 1986 examined all of the following factors in applying the Arbitrage Pricing Theory (APT) except the

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Exhibit 9.2 USE THE INFORMATION BELOW FOR THE FOLLOWING PROBLEM(S) Consider the three stocks, stock X, stock Y and stock Z, that have the following factor loadings (or factor betas).  Exhibit 9.2 USE THE INFORMATION BELOW FOR THE FOLLOWING PROBLEM(S) Consider the three stocks, stock X, stock Y and stock Z, that have the following factor loadings (or factor betas).    The zero-beta return ( \lambda <sub>0</sub>) = 3%, and the risk premia are  \lambda <sub>1</sub> = 10%,  \lambda <sub>2</sub> = 8%. Assume that all three stocks are currently priced at $50. -Refer to Exhibit 9.2. Assume that you wish to create a portfolio with no net wealth invested and the portfolio that achieves this has 50% in stock X, -100% in stock Y, and 50% in stock Z. The net arbitrage profit is The zero-beta return ( λ\lambda 0) = 3%, and the risk premia are λ\lambda 1 = 10%, λ\lambda 2 = 8%. Assume that all three stocks are currently priced at $50. -Refer to Exhibit 9.2. Assume that you wish to create a portfolio with no net wealth invested and the portfolio that achieves this has 50% in stock X, -100% in stock Y, and 50% in stock Z. The net arbitrage profit is

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Exhibit 10.9 USE THE INFORMATION BELOW FOR THE FOLLOWING PROBLEM(S) You are provided with the following year end information for All Systems Corporation. Exhibit 10.9 USE THE INFORMATION BELOW FOR THE FOLLOWING PROBLEM(S) You are provided with the following year end information for All Systems Corporation.    -Multifactor models of risk and return can be broadly grouped into models that use macroeconomic factors and models that use microeconomic factors. -Multifactor models of risk and return can be broadly grouped into models that use macroeconomic factors and models that use microeconomic factors.

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Exhibit 9.2 USE THE INFORMATION BELOW FOR THE FOLLOWING PROBLEM(S) Consider the three stocks, stock X, stock Y and stock Z, that have the following factor loadings (or factor betas).  Exhibit 9.2 USE THE INFORMATION BELOW FOR THE FOLLOWING PROBLEM(S) Consider the three stocks, stock X, stock Y and stock Z, that have the following factor loadings (or factor betas).    The zero-beta return ( \lambda <sub>0</sub>) = 3%, and the risk premia are  \lambda <sub>1</sub> = 10%,  \lambda <sub>2</sub> = 8%. Assume that all three stocks are currently priced at $50. -Refer to Exhibit 9.2. The new prices now for stocks X, Y, and Z that will not allow for arbitrage profits are The zero-beta return ( λ\lambda 0) = 3%, and the risk premia are λ\lambda 1 = 10%, λ\lambda 2 = 8%. Assume that all three stocks are currently priced at $50. -Refer to Exhibit 9.2. The new prices now for stocks X, Y, and Z that will not allow for arbitrage profits are

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Exhibit 9.1 USE THE INFORMATION BELOW FOR THE FOLLOWING PROBLEM(S) Exhibit 9.1 USE THE INFORMATION BELOW FOR THE FOLLOWING PROBLEM(S)    -Cho, Elton, and Gruber tested the APT by examining the number of factors in the return generating process and found that -Cho, Elton, and Gruber tested the APT by examining the number of factors in the return generating process and found that

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Under the following conditions, what are the expected returns for stocks Y and Z? Under the following conditions, what are the expected returns for stocks Y and Z?

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The table below provides factor risk sensitivities and factor risk premia for a three factor model for a particular asset where factor 1 is MP the growth rate in U.S. industrial production, factor 2 is UI the difference between actual and expected inflation, and factor 3 is UPR the unanticipated change in bond credit spread. The table below provides factor risk sensitivities and factor risk premia for a three factor model for a particular asset where factor 1 is MP the growth rate in U.S. industrial production, factor 2 is UI the difference between actual and expected inflation, and factor 3 is UPR the unanticipated change in bond credit spread.   Calculate the expected excess return for the asset. Calculate the expected excess return for the asset.

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In a macro-economic based risk factor model the following factor would be one of many appropriate factors:

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Exhibit 10.9 USE THE INFORMATION BELOW FOR THE FOLLOWING PROBLEM(S) You are provided with the following year end information for All Systems Corporation. Exhibit 10.9 USE THE INFORMATION BELOW FOR THE FOLLOWING PROBLEM(S) You are provided with the following year end information for All Systems Corporation.    -The APT does not require a market portfolio. -The APT does not require a market portfolio.

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Exhibit 10.9 USE THE INFORMATION BELOW FOR THE FOLLOWING PROBLEM(S) You are provided with the following year end information for All Systems Corporation. Exhibit 10.9 USE THE INFORMATION BELOW FOR THE FOLLOWING PROBLEM(S) You are provided with the following year end information for All Systems Corporation.    -Two approaches to defining factors for multifactor models are to use macroeconomic variables or individual characteristics of the securities. -Two approaches to defining factors for multifactor models are to use macroeconomic variables or individual characteristics of the securities.

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Exhibit 9.2 USE THE INFORMATION BELOW FOR THE FOLLOWING PROBLEM(S) Consider the three stocks, stock X, stock Y and stock Z, that have the following factor loadings (or factor betas).  Exhibit 9.2 USE THE INFORMATION BELOW FOR THE FOLLOWING PROBLEM(S) Consider the three stocks, stock X, stock Y and stock Z, that have the following factor loadings (or factor betas).    The zero-beta return ( \lambda <sub>0</sub>) = 3%, and the risk premia are  \lambda <sub>1</sub> = 10%,  \lambda <sub>2</sub> = 8%. Assume that all three stocks are currently priced at $50. -Refer to Exhibit 9.2. Assume that you wish to create a portfolio with no net wealth invested. The portfolio that achieves this has 50% in stock X, -100% in stock Y, and 50% in stock Z. The weighted exposure to risk factor 2 for stocks X, Y, and Z are The zero-beta return ( λ\lambda 0) = 3%, and the risk premia are λ\lambda 1 = 10%, λ\lambda 2 = 8%. Assume that all three stocks are currently priced at $50. -Refer to Exhibit 9.2. Assume that you wish to create a portfolio with no net wealth invested. The portfolio that achieves this has 50% in stock X, -100% in stock Y, and 50% in stock Z. The weighted exposure to risk factor 2 for stocks X, Y, and Z are

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Fama and French suggest a three factor model approach. Which of the following is not included in their approach?

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Under the following conditions, what are the expected returns for stocks Y and Z? Under the following conditions, what are the expected returns for stocks Y and Z?

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Exhibit 9.1 USE THE INFORMATION BELOW FOR THE FOLLOWING PROBLEM(S) Exhibit 9.1 USE THE INFORMATION BELOW FOR THE FOLLOWING PROBLEM(S)    -Refer to Exhibit 9.1. In the list above which are assumptions of the Arbitrage Pricing Model? -Refer to Exhibit 9.1. In the list above which are assumptions of the Arbitrage Pricing Model?

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Exhibit 10.9 USE THE INFORMATION BELOW FOR THE FOLLOWING PROBLEM(S) You are provided with the following year end information for All Systems Corporation. Exhibit 10.9 USE THE INFORMATION BELOW FOR THE FOLLOWING PROBLEM(S) You are provided with the following year end information for All Systems Corporation.    -The APT assumes that capital markets are perfectly competitive. -The APT assumes that capital markets are perfectly competitive.

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Exhibit 10.9 USE THE INFORMATION BELOW FOR THE FOLLOWING PROBLEM(S) You are provided with the following year end information for All Systems Corporation. Exhibit 10.9 USE THE INFORMATION BELOW FOR THE FOLLOWING PROBLEM(S) You are provided with the following year end information for All Systems Corporation.    -Arbitrage Pricing Theory (APT) specifies the exact number of risk factors and their identity -Arbitrage Pricing Theory (APT) specifies the exact number of risk factors and their identity

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Exhibit 9.3 USE THE INFORMATION BELOW FOR THE FOLLOWING PROBLEM(S) Stocks A, B, and C have two risk factors with the following beta coefficients. The zero-beta return ( λ\lambda 0) = .025 and the risk premiums for the two factors are ( λ\lambda 1) = .12 and ( λ\lambda 0) = .10.  Exhibit 9.3 USE THE INFORMATION BELOW FOR THE FOLLOWING PROBLEM(S) Stocks A, B, and C have two risk factors with the following beta coefficients. The zero-beta return ( \lambda <sub>0</sub>) = .025 and the risk premiums for the two factors are ( \lambda <sub>1</sub>) = .12 and ( \lambda <sub>0</sub>) = .10.    -Refer to Exhibit 9.3. Calculate the expected returns for stocks A, B, C. A B C -Refer to Exhibit 9.3. Calculate the expected returns for stocks A, B, C. A B C

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Exhibit 9.1 USE THE INFORMATION BELOW FOR THE FOLLOWING PROBLEM(S) Exhibit 9.1 USE THE INFORMATION BELOW FOR THE FOLLOWING PROBLEM(S)    -Dhrymes, Friend, and Gultekin, in their study of the APT, found that -Dhrymes, Friend, and Gultekin, in their study of the APT, found that

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Exhibit 9.3 USE THE INFORMATION BELOW FOR THE FOLLOWING PROBLEM(S) Stocks A, B, and C have two risk factors with the following beta coefficients. The zero-beta return ( λ\lambda 0) = .025 and the risk premiums for the two factors are ( λ\lambda 1) = .12 and ( λ\lambda 0) = .10.  Exhibit 9.3 USE THE INFORMATION BELOW FOR THE FOLLOWING PROBLEM(S) Stocks A, B, and C have two risk factors with the following beta coefficients. The zero-beta return ( \lambda <sub>0</sub>) = .025 and the risk premiums for the two factors are ( \lambda <sub>1</sub>) = .12 and ( \lambda <sub>0</sub>) = .10.    -Refer to Exhibit 9.3. Assume that stocks A, B, and C never pay dividends and stocks A, B, and C are currently trading at $10, $20, and $30, respectively. What is the expected price next year for each stock? A B C -Refer to Exhibit 9.3. Assume that stocks A, B, and C never pay dividends and stocks A, B, and C are currently trading at $10, $20, and $30, respectively. What is the expected price next year for each stock? A B C

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