Your Company, manager of the Gigantic Mutual Fund, knows that her fund currently is well diversified and that it has a CAPM beta of 1.0   The risk-free rate is 8% and the CAPM risk premium of 6.2%.  She has been learning about measures of risk and knows that there are (at least) two factors: changes in industrial production index, δ1 and unexpected inflation, δ2 The APT equation is E(Ri) – Rf = [δ1 – Rf]bi1 + [δ2 – Rf]bi2,   E(Ri) = 0.08 + [0.05]bi1 + [0.11]bi2.   Required If his portfolio currently has a sensitivity to the first factor of bi1= -0.5, what is its sensitivity to unexpected inflation? If she rebalances her portfolio to keep the same expected return but reduce her exposure to inflation to zero (i.e., bi1= 0) what will its sensitivity to the first factor become?

ENGR.ECONOMIC ANALYSIS
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Chapter1: Making Economics Decisions
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Your Company, manager of the Gigantic Mutual Fund, knows that her fund currently is well diversified and that it has a CAPM beta of 1.0   The risk-free rate is 8% and the CAPM risk premium of 6.2%.  She has been learning about measures of risk and knows that there are (at least) two factors: changes in industrial production index, δ1 and unexpected inflation, δ2 The APT equation is

E(Ri) – Rf = [δ– Rf]bi1 + [δ– Rf]bi2,

 

E(Ri) = 0.08 + [0.05]bi1 + [0.11]bi2.

 

Required

  1. If his portfolio currently has a sensitivity to the first factor of bi1= -0.5, what is its sensitivity to unexpected inflation?
  2. If she rebalances her portfolio to keep the same expected return but reduce her exposure to inflation to zero (i.e., bi1= 0) what will its sensitivity to the first factor become?
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