In: Finance
Given the following information, calculate the beta for the portfolio of stocks A, B, and C. (Answer to the nearest tenth). Amount Stock Invested Beta Stock A $7,000 1.2 Stock B $1,000 1.3 Stock C $4,000 0.5
Information provided:
Amount invested in stock A= $7,000
Amount invested in stock B= $1,000
Amount invested in stock C= $4,000
Beta of stock A= 1.2
Beta of stock B= 1.3
Beta of stock C= 0.5
Total portfolio value= $7,000 + $1,000 + $4,000
= $12,000
Weight of stock A= $7,000/ $12,000
= 0.5833*100
= 58.33%
Weight of stock B= $1,000/ $12,000
= 0.0833*100
= 8.33%
Weight of stock C= $4,000/ $12,000
= 0.3333*100
= 33.33%
Portfolio Beta= 0.5833*1.2 + 0.0833*1.3 + 0.3333*0.5
= 0.70 + 0.1083 + 0.16667
= 0.9750.
In case of any query, kindly comment on the solution.