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Suppose the that stochastic discount factor is linear in the market return, rm, as follows m = 1.28 2.44rm. The historical market return is

 


Suppose the that stochastic discount factor is linear in the market return, rm, as follows m = 1.28 2.44rm. The historical market return is E (rm) = 12%. A security A has an expected return of 15%. What is the beta of security A? What is the Sharpe ratio of the market portfolio? Is it smaller or larger than the Sharpe ratio of a portfolio that has 80% allocated to the market portfolio and 20% allocated to security A?

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To find the beta of security A we use the formula betaA CovrA rmVarrm Given the linear relationship ... blur-text-image

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