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Consider the following four risky assets: Correlations Firm 1 Firm 2 Fimm 3 Firm 4 0.31 Asset Expected Standard Returns Deviation Firm 1 7.00% 15.00%

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Consider the following four risky assets: Correlations Firm 1 Firm 2 Fimm 3 Firm 4 0.31 Asset Expected Standard Returns Deviation Firm 1 7.00% 15.00% Firm 2 9.00% 22.00% Firm 3 10.00% 28.00% Firm 4 16.00% 31.00% Risk-free Asset 6.00% 0.00% 0.25 -0.01 Firm 1 Fimm 2 Firm 3 Firm 4 1 0.31 0.25 0.05 0.05 0.14 0.2 1 -0.01 0.14 0.2 An investor put half her money in Firm 2 and half in Firm 4, resulting in a portfolio with a standard deviation of 20.22%. She wants a portfolio with the same expected return but the lowest risk possible. What weight should she assign to Firm 1 to achieve a portfolio with the same expected return and the lowest standard deviation possible? Note the following: g = 1.75362 0.06611 -0.04089 -0.77884 h = -13.38079 1.47007 1.68944 10.22128 O 68.32% O 8.10% O 61.63% % 21.48% O 48.24% mm minim

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