Exam 11: Factor Models and the Arbitrage Pricing Theory

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In the one factor (APT) model, the characteristic line to estimate bi passes through the origin, unlike the estimate used in the CAPM because:

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Both the APT and the CAPM imply a positive relationship between expected return and risk.The APT views risk:

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A factor is a variable that:

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Suppose you have a portfolio that contains 2 securities.You are considering adding a third security. Now assume that none of these securities carries any unsystematic risk.What will happen to the total risk of the portfolio if you add the third security?

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If the expected rate of inflation was 3% and the actual rate was 6.2%; the systematic response coefficient from inflation, bI , would result in a change in any security return of ___ bI .

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You have a 3 factor model to explain returns.Explain what a factor represents in the context of the APT? Each factor is multiplied by a beta.What do these represent and how do they relate to the actual return?

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In a portfolio of risky assets, the response to a factor, Fi , can be determined by:

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Suppose the MiniCD Corporation's ordinary equity has a return of 12%.Assume the risk-free rate is 4%, the expected market return is 9%, and no unsystematic influence affected Mini's return.The Beta for MiniCD is:

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Consider the following two statements: (i) The market beta is the standardized variance of the market portfolio. (ii) The market beta is an appropriate measure of risk under the assumptions of homogenous Expectations and riskless borrowing and lending.

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To estimate the cost of equity capital for a firm using the CAPM, it is necessary to have:

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Suppose you hold a portfolio that consists of an investment of 50 per cent in an asset A and the remainder invested at the risk-free rate.What happens to the beta of the portfolio if the risk-free rate doubles?

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Suppose that we have identified three important systematic risk factors given by exports, inflation, and industrial production.In the beginning of the year, growth in these three factors is estimated at -1%, 2.5%, and 3.5% respectively.However, actual growth in these factors turn out to be 1%, -2%, and 2%)The factor betas are given by bEX = 1.8, bI = 0.7, and bIP = 1.0.The expected return on the equity Is 6%.Calculate the equity's total return if the company announces that an important patent filing Has been granted sooner than expected and will earn the company 5% more in return.

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For a diversified portfolio including a large number of equities, the:

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The unexpected return on a security, U, is made up of:

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A criticism of the CAPM is that it:

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The most realistic APT model would likely include:

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Suppose that we have identified three important systematic risk factors given by exports, inflation, and industrial production.In the beginning of the year, growth in these three factors is estimated at -1%, 2.5%, and 3.5% respectively.However, actual growth in these factors turn out to be 1%, -2%, and 2%)The factor betas are given by bEX = 1.8, bI = 0.7, and bIP = 1.0.If the expected return on the Equity is 6%, and no unexpected news concerning the equity surfaces, calculate the equity's total Return.

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An investor is considerinq the three equities given below: Equity Expected Return Beta A 6.0\% -0.10 B 13.3\% 2.10 C 9.2\% 0.75 Market Portfolio 10.0\% 1.00 T-Bills 7.0\% 0.00 Calculate the expected return and beta of a portfolio equally weighted between equities B and C. Demonstrate that holding equity A actually reduces risk by comparing the risk of a portfolio equally weighted between equity B and T-Bills with a portfolio equally weighted between equity B and A.

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The single factor APT model that resembles the market model uses _________ as the single factor.

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A growth equity portfolio and a value portfolio might be characterized:

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