Exam 9: Multifactor Models of Risk and Return

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In the APT model,the identity of all the factors is known.

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One method for estimating the parameters for the Capital Asset Pricing Model is to estimate a portfolio's characteristic line via regression techniques using the single-index market model.

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Consider the following two factor APT model E(R)= ?? + ??b? + ??b?

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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). Stack Factor 1 Londine Factor 2 Londing X -[.55 1.2 Y -[.10 0.85 Z 0.35 0.5 The zero-beta return (??) = 3%, and the risk premia are ?? = 10%, ?? = 8%. Assume that all three stocks are currently priced at $50. -Refer to Exhibit 9.2.If you know that the actual prices one year from now are stock X $55,stock Y $52,and stock Z $57,then

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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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Under the following conditions,what are the expected returns for stocks X and Y? =0.05 =0.90 =0.03 =1.60 =0.04 =1.50 =0.85

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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). Stack Factor 1 Londine Factor 2 Londing X -[.55 1.2 Y -[.10 0.85 Z 0.35 0.5 The zero-beta return (??) = 3%, and the risk premia are ?? = 10%, ?? = 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 1 for stocks X,Y,and Z are

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In a multifactor model,confidence risk represents

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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 (??) = .025 and the risk premiums for the two factors are (??) = .12 and (??) = .10. Stack Factor 1 Factor 2 -0.25 1.1 -0.05 0.9 0.01 0.6 -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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The excess return form of the single-index market model is

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Which of the following is not a step required for a multifactor risk model to estimate expected return for an individual stock position?

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The APT does not require a market portfolio.

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Exhibit 9.1 Use the Information Below for the Following Problem(S) (1) Capital markets are perfectly competitive. (2) Quadratic utility function. (3) Investors prefer more wealth to less wealth with certainty. (4) Normally distributed security returns. (5) Representation as a K factor model. (6) A market portfolio that is mean-variance efficient. -Refer to Exhibit 9.1.In the list above,which are not assumptions of the Arbitrage Pricing model?

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Consider a two-factor APT model where the first factor is changes in the 30-year T-bond rate,and the second factor is the percent growth in GNP.Based on historical estimates you determine that the risk premium for the interest rate factor is 0.02,and the risk premium on the GNP factor is 0.03.For a particular asset,the response coefficient for the interest rate factor is -1.2,and the response coefficient for the GNP factor is 0.80.The rate of return on the zero-beta asset is 0.03.Calculate the expected return for the asset.

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Studies strongly suggest that the CAPM be abandoned and replaced with the APT.

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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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In the APT model the idea of riskless arbitrage is to assemble a portfolio that

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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). Stack Factor 1 Londine Factor 2 Londing X -[.55 1.2 Y -[.10 0.85 Z 0.35 0.5 The zero-beta return (??) = 3%, and the risk premia are ?? = 10%, ?? = 8%. Assume that all three stocks are currently priced at $50. -Refer to Exhibit 9.2.The expected prices one year from now for stocks X,Y,and Z are

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In a micro-economic (or characteristic)based risk factor model the following factor would be one of many appropriate factors:

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Under the following conditions,what are the expected returns for stocks A and B? =0.03 =1.5 =0.09 =0.8 =0.07 =1.20 =0.6

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