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Consider the following data for the stock returns of companies R and K: Stock Beta Standard deviation Correlation with the market R 0.80 25% 0.64
Consider the following data for the stock returns of companies R and K:
Stock | Beta | Standard deviation | Correlation with the market |
R | 0.80 | 25% | 0.64 |
K | 1.20 | 40% | 0.60 |
The expected return on the market portfolio is 8% and the risk free rate is 2%. Assume both stocks are priced correctly according to the CAPM.
Among all the possible portfolios with expected return of 14% (which can include stocks R and K, the market portfolio, and the risk-free asset), find the portfolio that has the lowest standard deviation. Report the standard deviation of this portfolio in decimal form, rounded to 4 decimal places.
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