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You Are Evaluating Two Investment Alternatives

Question 42

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You are evaluating two investment alternatives.One is a passive market portfolio with an expected return of 10% and a standard deviation of 16%.The other is a fund that is actively managed by your broker.This fund has an expected return of 15% and a standard deviation of 20%.The risk-free rate is currently 7%.Answer the questions below based on this information.
a.What is the slope of the Capital Market Line?
b.What is the slope of the Capital Allocation Line offered by your broker's fund?
c.Draw the CML and the CAL on one graph.
d.What is the maximum fee you broker could charge and still leave you as well off as if you had invested in the passive market fund? (Assume that the fee would be a percentage of the investment in the broker's fund,and would be deducted at the end of the year. )
e.How would it affect the graph if the broker were to charge the full amount of the fee?

Correct Answer:

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a.The slope of the CML is (10 - 7)/16 = ...

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