asked 99.3k views
2 votes
An individual has $10,000 invested in a stock with a beta of 0.8 and another $55,000 invested in a stock with a beta of 1.5. If these are the only two investments in her portfolio, what is her portfolio's beta? Round your answer to two decimal places.

asked
User Ncerezo
by
8.1k points

1 Answer

4 votes

Final answer:

To find the portfolio's beta, calculate the weighted average of the individual stock betas based on their investments.

Step-by-step explanation:

To find the portfolio's beta, you need to calculate the weighted average of the individual stock betas based on their investments. The formula for weighted average is:

Beta of Portfolio = (Value of Investment in Stock 1 / Total Portfolio Value) * Beta of Stock 1 + (Value of Investment in Stock 2 / Total Portfolio Value) * Beta of Stock 2

Plugging in the values, we get:

Beta of Portfolio = (10,000 / 65,000) * 0.8 + (55,000 / 65,000) * 1.5

Calculating this equation results in a portfolio beta of approximately 1.28.

Welcome to Qamnty — a place to ask, share, and grow together. Join our community and get real answers from real people.