Question

In: Finance

Given the following information, calculate the beta for the portfolio of stocks A, B, and C....

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

Solutions

Expert Solution

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.


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