Exam 6: Efficient Diversification

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The unsystematic risk of a specific security

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You are considering investing $1,000 in a T-bill that pays 0.05 and a risky portfolio,P,constructed with 2 risky securities,X and Y.The weights of X and Y in P are 0.60 and 0.40,respectively.X has an expected rate of return of 0.14 and variance of 0.01,and Y has an expected rate of return of 0.10 and a variance of 0.0081.What would be the dollar values of your positions in X and Y,respectively,if you decide to hold 40% percent of your money in the risky portfolio and 60% in T-bills?

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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?

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The variance of a portfolio of risky securities

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Consider the following probability distribution for stocks A and B: State Probability Return on Stock A Return on Stock B 1 0.10 10\% 8\% 2 0.20 13\% 7\% 3 0.20 12\% 6\% 4 0.30 14\% 9\% 5 0.20 15\% 8\% The expected rates of return of stocks A and B are _____ and ____,respectively.

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Discuss the characteristics of indifference curves,and the theoretical value of these curves in the portfolio building process

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State Markowitz's mean-variance criterion.Give some numerical examples of how the criterion would be applied.

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Given an optimal risky portfolio with expected return of 13% and standard deviation of 26% and a risk free rate of 5%,what is the slope of the best feasible CAL?

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The efficient frontier of risky assets is

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Given an optimal risky portfolio with expected return of 12% and standard deviation of 23% and a risk free rate of 3%,what is the slope of the best feasible CAL?

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Your client,Bo Regard,holds a complete portfolio that consists of a portfolio of risky assets (P)and T-Bills.The information below refers to these assets. E( 12.00\% Standard Deviation of P 7.20\% T-Bill rate 3.60\% Proportion of Complete Portfolio in P 80\% Proportion of Complete Portfolio in T-Bills 20\% Composition of P: Stock A 40.00\% Stock B 25.00\% Stock C 35.00\% Total 100.00\% What is the equation of Bo's Capital Allocation Line?

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An investor who wishes to form a portfolio that lies to the right of the optimal risky portfolio on the Capital Allocation Line must:

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Unique risk is also referred to as

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The optimal proportion of the risky asset in the complete portfolio is given by the equation y* = [E(rP)- rf]/(.01A*Variance of P).For each of the variables on the right side of the equation,discuss the impact the variable's effect on y* and why the nature of the relationship makes sense intuitively.Assume the investor is risk averse.

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The separation property refers to the conclusion that

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When borrowing and lending at a risk-free rate are allowed,which Capital Allocation Line (CAL)should the investor choose to combine with the efficient frontier? I.with the highest reward-to-variability ratio. II.that will maximize his utility. III.with the steepest slope. IV.with the lowest slope.

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Given an optimal risky portfolio with expected return of 14% and standard deviation of 22% and a risk free rate of 6%,what is the slope of the best feasible CAL?

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A two-asset portfolio with a standard deviation of zero can be formed when

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The measure of risk in a Markowitz efficient frontier is:

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Consider the following probability distribution for stocks A and B: State Probability Return on Stock A Return on Stock B 1 0.10 10\% 8\% 2 0.20 13\% 7\% 3 0.20 12\% 6\% 4 0.30 14\% 9\% 5 0.20 15\% 8\% Let G be the global minimum variance portfolio.The weights of A and B in G are __________ and _________,respectively.

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