Question
Ann has $10k Australian dollars to invest in a complete portfolio. You have provided her a risky portfolio with return of 10.5% and standard-deviation of
Ann has $10k Australian dollars to invest in a complete portfolio. You have provided her a risky portfolio with return of 10.5% and standard-deviation of 15%, and a risk-free asset with return equals to 0%. After comparison between the risky and risk-free asset, Ann generally prefers the risk-free asset, as she is risk-averse and the highest risk level she could accept is indifferent between risk-free and risky asset.
A) Calculate the minimum value of Ann's risk-aversion factor. Keep 3 decimals in your answer.
B) Using the minimum value of the risk-aversion factor you derived from 1) and the information from the question, calculate the optimal weighting for the risk-free asset and the risky portfolio. Keep 3 decimals in your answer.
C) Using the weighting you derived from 2) and the information from the question, calculate the return and risk of Ann's complete portfolio. Keep 3 decimals in your answer.
D) John has $10k Australian dollars to invest in a complete portfolio. You have provided him a risky portfolio with return of 12.5% and standard-deviation of 18%, and a risk-free asset with return equals to X% (X is the fourth-digital number of your student ID. Say you have a student ID of 278123A, and the risk-free rate of return is 1%. The risk-free rate is 0 if the fourth-digital number of your student id is 0). After comparison between the risky and risk-free asset, John generally prefers the risk-free asset, as he is risk-averse and the highest risk level he could accept is indifferent between risk-free and risky asset.
Repeat your calculations in A) and B), calculate the minimum value of John's risk-aversion factor, and the optimal weighting between risk-free and risky portfolio.
Have you identified any trend after the calculation? Why?
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