You own a stock portfolio invested 30 percent in Stock Q, 25 percent in Stock R, 25 percent in Stock S, and 20 percent in Stock T. The betas for these four stocks are .95, 1.12, 1.13, and 1.30, respectively. What is the portfolio beta? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.)

Business · College · Wed Jan 13 2021

Answered on

To calculate the beta of a portfolio, you'll use a weighted average based on the percentages of each stock in the portfolio.


Given:

Weight of Stock Q = 30%

Weight of Stock R = 25%

Weight of Stock S = 25%

Weight of Stock T = 20%

Beta of Stock Q = 0.95

Beta of Stock R = 1.12

Beta of Stock S = 1.13

Beta of Stock T = 1.30

To find the portfolio beta:

Portfolio beta = (Weight of Stock Q * Beta of Stock Q) + (Weight of Stock R * Beta of Stock R) + (Weight of Stock S * Beta of Stock S) + (Weight of Stock T * Beta of Stock T)

Portfolio beta=(0.30×0.95)+(0.25×1.12)+(0.25×1.13)+(0.20×1.30)

Portfolio beta=0.285+0.28+0.2825+0.26

Portfolio beta=1.1075

Rounded to two decimal places, the portfolio beta is 1.11.

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