Question

Portfolio betas Personal Finance Problem Rose Berry is attempting to evaluate two possible portfolios, which consist of the same five assets held in different proportions. She is particularly interested in using beta to compare the risks of the portfolios, so she has gathered the data shown in the following table: a. Calculate the betas for portfolios A and B. b. Compare the risks of these portfolios to the market as well as to each other. Which portfolio is more risky? a. The beta for portfolio A is . (Round to four decimal places.) i Data Table (Click on the icon located on the top-right corner of the data table below in order to copy its contents into a spreadsheet.) Asset Asset beta 1.36 0.66 1.23 1.85 0.33 Portfolio weights Portfolio Portfolio B 15% 30% 30% 15% 15% 25% 10% 15% 30% 15% 100% 100% Totals Print Done ta bevand the il neol A

Answer 1

Beta for Portfolio-A

Beta for Portfolio-A = Sum[Asset Beta x Portfolio weights]

= [1.36 x 0.15] + [0.66 x 0.30] + [1.23 x 0.15] + [1.85 x 0.10] + [0.33 x 0.30]

= 0.2040 + 0.1980 + 0.1845 + 0.1850 + 0.0990

= 0.8705

Beta for Portfolio-B

Beta for Portfolio-B = Sum[Asset Beta x Portfolio weights]

= [1.36 x 0.30] + [0.66 x 0.15] + [1.23 x 0.25] + [1.85 x 0.15] + [0.33 x 0.15]

= 0.4080 + 0.0990 + 0.3075 + 0.2775 + 0.0495

= 1.1415