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You own a portfolio equally invested in a risk-free asset and two stocks. If one of the stocks has a beta of 1.62 and the total portfolio is exactly as risky as the market, what must the beta be for the
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28 votes
28 votes
You own a portfolio equally invested in a risk-free asset and two stocks. If one of the stocks has a beta of 1.62 and the total portfolio is exactly as risky as the market, what must the beta be for the other stock in your portfolio

User Adelina
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1 Answer

19 votes
19 votes

Answer:

1.71

Step-by-step explanation:

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

The market has a beta of one. If a portfolio has the same level of systematic risk that is the same as that of the market, its beta would be equal to 1.

The beta of a risk free asset is zero

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

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

1 = (0.3 x 1.62) + (0.3 x 0) + (0.3 x a)

1 = 0.486 + 0 + 0.3a

1 - 0.486 = 0.3a

a = 1.71

User Gabriel Glauber
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