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1. Consider the following securities: Risky security: E(R) = 10% and a = 20Risk-free security: R = 5%. You want to construct a portfolio combining
1. Consider the following securities: Risky security: E(R) = 10% and a = 20Risk-free security: R = 5%. You want to construct a portfolio combining the risky security and the risk-free security such that you get an expected return of 15%. (a) What weights would you need to put in the risky and the risk-free securities to earn a 15% (b) What is the standard deviation of this portfolio? What is the reward-to- variability ratio? (c) Draw the capital allocation line (CAL). Label the points and the axes clearly. (d) Now, suppose that instead of one risky security and one risk-free security, you can invest in two risky securities. Security 1: E(R) = 10% and 9 = 20%. Security 2: E(R2) = 6% and 92 = 10% with p=0:3. What weights would you need to place in the two risky securities to earn a 15% expected return? What is the standard deviation of this portfolio? (e) Find the expected return and the standard deviation of the minimum-variance portfolio (MVP) on the investment opportunity set. 1. Consider the following securities: Risky security: E(R) = 10% and a = 20Risk-free security: R = 5%. You want to construct a portfolio combining the risky security and the risk-free security such that you get an expected return of 15%. (a) What weights would you need to put in the risky and the risk-free securities to earn a 15% (b) What is the standard deviation of this portfolio? What is the reward-to- variability ratio? (c) Draw the capital allocation line (CAL). Label the points and the axes clearly. (d) Now, suppose that instead of one risky security and one risk-free security, you can invest in two risky securities. Security 1: E(R) = 10% and 9 = 20%. Security 2: E(R2) = 6% and 92 = 10% with p=0:3. What weights would you need to place in the two risky securities to earn a 15% expected return? What is the standard deviation of this portfolio? (e) Find the expected return and the standard deviation of the minimum-variance portfolio (MVP) on the investment opportunity set
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