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The beta of four stocks—?G, ?H, I, and J—are 0

Finance Dec 02, 2020

The beta of four

stocks—?G,

?H, I, and

J—are 0.42?, 0.88?,1.19?,

and 1.52?,

respectively. What is the beta of a portfolio with the following weights in each? asset:

 

Weight in

Stock G

Weight in

Stock H

Weight in

Stock I

Weight in

Stock J

Portfolio 1

?25%

 

?25%

 

?25%

 

?25%

 

Portfolio 2

?30%

 

?40%

 

?20%

 

?10%

 

Portfolio 3

?10%

 

?20%

 

?40%

 

?30%

 

What is the beta of portfolio? 1?

Expert Solution

Beta of the portfolio the the sum of weigjted beta of each stock.

Beta = \sum (weight * beta)

Beta = (0.25*0.42) + (0.25 * 0.88) + ( 0.25 * 1.19) + (0.25* 1.52)

= 0.105 + 0.22 + 0.2975 + 0.38

= 1.0025

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