Portfolio of the stock and the risk-free asset

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Suppose that the risk-free rate is rrf and a certain stock expected return µ, volatility σ and Sharpe ratio S. Consider a 50% - 50% portfolio of the stock and the risk-free asset. Two of the following statements are correct and one is incorrect:

The expected return of the portfolio is 0.50 x rrf + 0.50 x µ.

The volatility of the portfolio is 0.50 x σ.

The Sharpe ratio of the portfolio is 0.50 x S.

Which of these two are correct?

Reference no: EM131500354

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