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Beta Case

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1) Using Excel’s standard deviations function to calculate the variability of the stock returns of California REIT, Brown Group, and the Vanguard Index 500.

Standard Deviation

Vanguard 500 4.61%
California REIT 9.23%
Brown Group 8.17%
Brown Group and California REIT stock returns both have large variability compared to the Vanguard 500. Brown Groups variability is substantially larger that of the Vanguard 500, and California REIT variability is even larger as it is double that of the Vanguard 500. While both Brown Group, and California REIT are more risky then the Vanguard 500, California REIT is the most risking of all as the variability of the stock return is the largest of the three. 2) To compare the two portfolio options Beta is offering portfolio 1 containing 99% of equity funds invested in Vanguard 500, and 1% in California REIT, and portfolio 2 containing 99% Vanguard 500, and 1% in Brown Group. Using Excel function’s to find standard deviations and Excel functions to find covariance. First we calculated the monthly return of portfoilio1, and portfolio 2. After doing that we used Excel function standard deviation to find the variance of each portfolio. Standard Deviation
Portfolio 1 4.57%
Portfolio 2 4.61%
Looking at the two portfolios it is apparent that the portfolio containing Brown Group is riskier, because it adds more variability to the portfolio. This contradicts the answer in question 1 that Brown Group would be less risky. When comparing individual stock it is true that Brown Group is less risky than California REIT, although when comparing portfolios covariance is an important factor. The higher covariance between Vanguard 500 and Brown Group adds to the variability of Portfolio 2 making it the more risky option. To find the covariance we used the Excel function covariance.

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