(b) Using the correlation matrix, compute the beta of asset C.

(c) Show that B is priced according to the CAPM.

(d) Suppose the risk-free rate is 5%. How much of security F is included in the market portfolio M? Briefly explain.

(e) Assume that you want to form a portfolio that consists of a long position of $18,000 in asset C, and a short position of $6000 in asset A. What is the expected return and risk of this portfolio?

(f) You have $100,000 to invest. You would like use a combination of M and F to obtain a standard deviation of 4% on your overall portfolio. How much (in dollars) do you invest in F if you choose the most efficient portfolio possible? What is the return of this portfolio?

(g) You have $100,000 to invest. What is the maximum Sharpe Ratio you can obtain on a portfolio? Show the calculation.

(h) Suppose 3 additional firms issue shares of equity, so that now there are a total of 6 risky assets. The new assets are negatively correlated with A, B and C. Relative to the previous question, would the maximum Sharpe Ratio in this new economy be higher or lower? Briefly explain.

You have information on several possible investments, as laid out in the table below. A, B, and C are individual risky securities. For now, assume these are the only 3 risky investments that comprise the market. F is the risk-free asset. M is the market portfolio. All returns are annual returns. Investment A 1.0000 E(ri) 19.20% 21.90% 12.00% 3.00% 12.00% 0 36% 35% 25% Correlation Matrix B C F 0.70000.6000 0.0000 1.0000 0.5000 0.0000 1.0000 0.0000 1.0000 M 0.5 0.6 0.4 C 0% 10% Answer the following questions with respect to this investment information. (a) Using the correlation matrix, compute the covariance of asset A with the market. You have information on several possible investments, as laid out in the table below. A, B, and C are individual risky securities. For now, assume these are the only 3 risky investments that comprise the market. F is the risk-free asset. M is the market portfolio. All returns are annual returns. Investment A 1.0000 E(ri) 19.20% 21.90% 12.00% 3.00% 12.00% 0 36% 35% 25% Correlation Matrix B C F 0.70000.6000 0.0000 1.0000 0.5000 0.0000 1.0000 0.0000 1.0000 M 0.5 0.6 0.4 C 0% 10% Answer the following questions with respect to this investment information. (a) Using the correlation matrix, compute the covariance of asset A with the market