Question

Beta of a portfolio.   The beta of four stocks—​G, ​H, I, and J—are 0.48, 0.86, 1.25,...

Beta of a portfolio.   The beta of four stocks—​G, ​H, I, and J—are 0.48, 0.86, 1.25, and 1.53​, 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? ​_____(Round to two decimal​ places.)

What is the beta of portfolio​ 2? ​_____(Round to two decimal​ places.)

What is the beta of portfolio​ 3?______ (Round to two decimal​ places.)

Homework Answers

Answer #1

Portfolio 1:

Portfolio Beta = Weight of Stock G * Beta of Stock G + Weight of Stock H * Beta of Stock H + Weight of Stock I * Beta of Stock I + Weight of Stock J * Beta of Stock J
Portfolio Beta = 25% * 0.48 + 25% * 0.86 + 25% * 1.25 + 25% * 1.53
Portfolio Beta = 1.03

Portfolio 2:

Portfolio Beta = Weight of Stock G * Beta of Stock G + Weight of Stock H * Beta of Stock H + Weight of Stock I * Beta of Stock I + Weight of Stock J * Beta of Stock J
Portfolio Beta = 30% * 0.48 + 40% * 0.86 + 20% * 1.25 + 10% * 1.53
Portfolio Beta = 0.89

Portfolio 3:

Portfolio Beta = Weight of Stock G * Beta of Stock G + Weight of Stock H * Beta of Stock H + Weight of Stock I * Beta of Stock I + Weight of Stock J * Beta of Stock J
Portfolio Beta = 10% * 0.48 + 20% * 0.86 + 40% * 1.25 + 30% * 1.53
Portfolio Beta = 1.18

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