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I WOULD LIKE TO KNOW HOW TO DO EVERYTHING STEP BY STEP. SPECIALLY THE PORTFOLIO

ID: 2762802 • Letter: I

Question

I WOULD LIKE TO KNOW HOW TO DO EVERYTHING STEP BY STEP. SPECIALLY THE PORTFOLIO RETURN IF STATE OCCURS

Security Returns If State Occurs State of Economy Bust Boom Probability of State of Economy 40 60 Ross -10% 28 21% Calculate the volatility of a portfolio of 35 percent Roll and 65 percent Ross by filling in the following table (Round your standard deviation answer to 2 decimal places. Round your intermediate calculations and other answers to 4 decimal places. Omit the "n sign in your response.) Calculating Portfolio Variance Squared Deviation from Expected Return 0009 0004 State of Probability of Portfolio Return If Product 0004 0002 Economy State of Economy State Occurs 40 Bust Boom 1000 1500 0 60 0006 2.45 2 %

Explanation / Answer

Expected Return Roll=0.40*(-10)+0.60*28=12.8

Expected Retrun Ross=0.40*21+0.60*8=13.2

Expected Return of the portfolio=0.35*12.8+0.65*13.2=13.06

Variance of Roll=0.40*(-10-12.8)^2+0.60*(28-12.8)^2=346.56 or SD=(346.56)^(1/2)=18.61

Variance of Ross=0.40*(21-13.2)^2+0.60*(8-13.2)^2=40.56 or SD=(40.56)^(1/2)=6.36

SD of the portfolio=0.35*18.61+0.65*6.36=10.64%