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\"You own a portfolio that has 70% invested in asset A, and 30% invested in asse

ID: 2708164 • Letter: #

Question

"You own a portfolio that has 70% invested in asset A, and 30% invested in asset B. Asset A s standard deviation is 12% and asset B s standard deviation is 20%. The correlation coefficient between the two assets is -0.8. The expected return on the portfolio is 15%. The standard deviation for this portfolio is closest to:" 0.26% 4.00% 4.36% 5.09% 0.29% "You own a portfolio that has 70% invested in asset A, and 30% invested in asset B. Asset A s standard deviation is 12% and asset B s standard deviation is 20%. The correlation coefficient between the two assets is -0.8. The expected return on the portfolio is 15%. The standard deviation for this portfolio is closest to:" 0.26% 4.00% 4.36% 5.09% 0.29% 0.26% 4.00% 4.36% 5.09% 0.29%

Explanation / Answer

Variance of Portfolio = 0.72*122 + 0.32*202 + 2*0.7*0.3*12*20*-0.8
= 25.92

Standard Deviation = 5.09%