In: Finance
what is the beta of a three-stock portfolio including $2500 invested in stock A with a beta of .90, $4000 invested in stock B with a beta of 1.05, and $3500 invested in stock C with beta of 1.73?
Beta of three stock portfolio | 1.25 | ||||||
Working: | |||||||
Beta of portfolio is calculated as follows: | |||||||
Stock | Weight | Beta | |||||
a | b | a*b | |||||
Stock A | 0.25 | 0.90 | 0.23 | ||||
Stock B | 0.40 | 1.05 | 0.42 | ||||
Stock C | 0.35 | 1.73 | 0.61 | ||||
Total | 1.25 | ||||||
Thus, Beta of three stock portfolio is | 1.25 | ||||||
Working: | |||||||
Weight of individual asset is calculated as follows; | |||||||
Stock | Investment | / | Total Investment | = | Weight | ||
Stock A | $ 2,500 | $ 10,000 | = | 0.25 | |||
Stock B | 4,000 | 10,000 | = | 0.40 | |||
Stock C | 3,500 | 10,000 | = | 0.35 | |||
Total | 10,000 | 1.00 | |||||