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Minimum risk portfolio

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Problem: You are planning to invest $200,000. Two securities X and Y are available, and you can invest in either of them or in a portfolio with some of each. The correlation coefficient is of X and Y is -0.50. Assuming the following additional data, calculate the weight of A in the portfolio that produces the minimum risk portfolio.

Stock X Stock Y "Roh"

Expected return 15.0% 12.8% -0.5

Standard deviation 20.0% 25.7% -0.5

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The solution provides the method to arrive at the weight of a stock that would produce the minimum risk portfolio.

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Calculation of minimum risk portfolio:

In the case of a two stock portfolio (security 1 and 2), the weights in a minimum risk ...

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