Question

An individual has $30,000 invested in a stock with a beta of 0.7 and another $70,000 invested in a stock with a beta of 1.2. If these are the only two investments in her portfolio, what is her portfolio's beta? Round your answer to two decimal places.

Answer 1

1.05

Step-by-step explanation:

Beta measures systematic risk. Systemic risk are risk that are inherent in the economy. They cannot be diversified away.

The higher beta is, the higher the systemic risk and the higher the compensation demanded for by investors

The portfolio's beta can be determined by adding together the weighted beta of each stock in the portfolio

weighted beta of a stock = percentage of the stock in the portfolio x beta of the stock

total value of the portfolio = $30,000 + $70,000 = $100,000

percentage of stock A in the portfolio = $30,000 / $100,000 = 0.30

percentage of stock B in the portfolio = $70,000 / $100,000 = 0.70

weighted beta of stock A = 0.30 x 0.7 = 0.21

weighted beta of stock B = 0.70 x 1.2 = 0.84

Portfolio beta = 0.21 + 0.84 = 1.05