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(e) What is the risk of portfolios with returns of 3%, 9%, 15% and 20%? Plot this capital allocation line and the selected points in

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(e) What is the risk of portfolios with returns of 3%, 9%, 15% and 20%? Plot this capital allocation line and the selected points in MATLAB. IULUI wie PO JUIW vurunce)? 5. Suppose the Lohrmanns can invest in only two risky assets, A and B. The expected return and standard deviation for asset A are 20% and 50%, and the expected return and standard deviation for asset B are 15% and 33%. The two assets have zero correlation with one another. (a) Generalize the formulae for portfolio return and risk by assuming an investment of w, in asset A and an investment of (1 - WA) in asset B. Plot the investment opportunity set in MATLAB. (b) Now introduce a risk free asset with a return of 3%. Write an equation for the capital allocation line in terms of w that will connect the risk-free asset to the portfolio of risky assets. (c) Calculate the weight in asset A when the slope of the capital allocation line is maximized. What is the equation for the capital allocation line using the calculated weight. (d) Having created the capital allocation line, what is the standard deviation of a portfolio that gives a 20% return? How does the standard deviation of this portfolio compare with asset A? CE (e) What is the risk of portfolios with returns of 3%, 9%, 15% and 20%? Plot this capital allocation line and the selected points in MATLAB. IULUI wie PO JUIW vurunce)? 5. Suppose the Lohrmanns can invest in only two risky assets, A and B. The expected return and standard deviation for asset A are 20% and 50%, and the expected return and standard deviation for asset B are 15% and 33%. The two assets have zero correlation with one another. (a) Generalize the formulae for portfolio return and risk by assuming an investment of w, in asset A and an investment of (1 - WA) in asset B. Plot the investment opportunity set in MATLAB. (b) Now introduce a risk free asset with a return of 3%. Write an equation for the capital allocation line in terms of w that will connect the risk-free asset to the portfolio of risky assets. (c) Calculate the weight in asset A when the slope of the capital allocation line is maximized. What is the equation for the capital allocation line using the calculated weight. (d) Having created the capital allocation line, what is the standard deviation of a portfolio that gives a 20% return? How does the standard deviation of this portfolio compare with asset A? CE

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