You estimate that a passive portfolio, that is, one invested in a risky portfoli

Question

You estimate that a passive portfolio, that is, one invested in a risky portfolio that mimics the S&P; 500 stock index, yields an expected rate of return of 15% with a standard deviation of 26%. You manage an active portfolio with an expected return of 19% and a standard deviation of 31%. The risk-free rate is 5%. Your client's degree of risk aversion is A = 2.8. Answer PART B > What is the fee (percentage of the investment in your fund, deducted at the end of the year) that you can charge to make the client indifferent between your fund and the passive strategy affected by his capital allocation decision (i.e., his choice of y )?

Explanation / Answer

Slope of the CML = (15-5)/26 = .0.384

Slope of your CAL = (19-5)/31 = 0.451

Your fund allows an investor a higher mean for any given standard deviation than the passive strategy

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