Question

The beta of four stocks—​G, ​H, I, and J—are .48​, .88​, 1.06​, and 1.57​, respectively. What...

The beta of four stocks—​G, ​H, I, and J—are .48​, .88​, 1.06​, and 1.57​, 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%

Homework Answers

Answer #1

Portfolio of 1 beta = Weight of Stock G * Beta of G + Weight of Stock H * Beta of H + Weight of Stock I * Beta of I + Weight of Stock J * Beta of J = 25%*0.48+25%*0.88+25%*1.06+25%*1.57 = 0.9975

Portfolio of 2 beta = Weight of Stock G * Beta of G + Weight of Stock H * Beta of H + Weight of Stock I * Beta of I + Weight of Stock J * Beta of J = 30%*0.48+40%*0.88+20%*1.06+10%*1.57 = 0.8650

Portfolio of 3 beta = Weight of Stock G * Beta of G + Weight of Stock H * Beta of H + Weight of Stock I * Beta of I + Weight of Stock J * Beta of J = 10%*0.48+0%*0.88+40%*1.06+30%*1.57 = 0.943

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