Question

You own a stock portfolio invested 20 percent in Stock Q, 30 percent in Stock R, 35 percent in Stock S, and 15 percent in Stock T. The betas for these four stocks are .79, 1.23, 1.13, and 1.36, respectively. What is the portfolio beta?

Answer 1

The portfolio beta is 1.13

Step-by-step explanation:

Portfolio bet is the average beta calculated on the basis of weightage of each investment. The beta of every investment is multiplied with the weightage of each investment in a portfolio. The all the value is added to get the portfolio beta

Portfolio Beta = ( Stock Q beta x Stock Q Weightage) + ( Stock R beta x Stock R Weightage) + ( Stock S beta x Stock S Weightage) + ( Stock T beta x Stock T Weightage)

Portfolio Beta = ( 0.79 x 20% ) + ( 1.23 x 30% ) + ( 1.13 x 35% ) + ( 1.36 x 15% )

Portfolio Beta = 0.158 + 0.369 + 0.396 + 0.204 = 1.127

Portfolio beta is 1.13