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. In addition, Your Company wish to establish a PhD University Scholarship of GHc 2,000 paid at the end of each year for deserving students as an alumnus at the School you attended. You would like to make a lump-sum gift to the school to fund the scholarship into infinity. The school's treasurer assures you that they will earn 7.5% every year continually. 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? Compare, contrast and discuss the difference in your response to parts (1) and (2)
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. In addition, Your Company wish to establish a PhD University Scholarship of GHc 2,000 paid at the end of each year for deserving students as an alumnus at the School you attended. You would like to make a lump-sum gift to the school to fund the scholarship into infinity. The school's treasurer assures you that they will earn 7.5% every year continually. 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? Compare, contrast and discuss the difference in your response to parts (1) and (2)
Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
Section: Chapter Questions
Problem 1PS
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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 = [δ1 – Rf]bi1 + [δ2 – Rf]bi2,
E(Ri) = 0.08 + [0.05]bi1 + [0.11]bi2.
In addition, Your Company wish to establish a PhD University Scholarship of GHc 2,000 paid at the end of each year for deserving students as an alumnus at the School you attended. You would like to make a lump-sum gift to the school to fund the scholarship into infinity. The school's treasurer assures you that they will earn 7.5% every year continually.
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?
- Compare, contrast and discuss the difference in your response to parts (1) and (2)
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