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Consider the following four risky assets: Asset 10.31 Firm 1 Firm 2 Firm 3 Firm 4 Risk-free Asset Expected Standard Returns Deviation 7.00% 15.00% 9.00%

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Consider the following four risky assets: Asset 10.31 Firm 1 Firm 2 Firm 3 Firm 4 Risk-free Asset Expected Standard Returns Deviation 7.00% 15.00% 9.00% 22.00% 10.00% 28.00% 16.00% 31.00% 6.00% 0.00% Correlations Firm 1 Firm 2 Firm 3 Firm 4 Firm 1 0.31 0.25 0.05 Firm 2 0.31 1 -0.01 0.14 Firm 3 0.25 -0.01 1 0 .2 Firm 4 0.05 0.14 0. 2 1 An investor is looking for a portfolio with an expected return of 11%. Whan weight should she assign to Firm 3 to achieve a portfolio with (1) the lowest variance possible, and (2) an expected return of exactly 11%? Note the following: g= 1.75362 0.06611 -0.04089 -0.77884 h = -13.38079 1.47007 1.68944 10.22128 Answer in decimal format, rounded to 3 decimal places. For example, if your answer is 12.125%, enter "0.121". If your answer is 12.188%, enter "0.122". Consider the following four risky assets: Asset 10.31 Firm 1 Firm 2 Firm 3 Firm 4 Risk-free Asset Expected Standard Returns Deviation 7.00% 15.00% 9.00% 22.00% 10.00% 28.00% 16.00% 31.00% 6.00% 0.00% Correlations Firm 1 Firm 2 Firm 3 Firm 4 Firm 1 0.31 0.25 0.05 Firm 2 0.31 1 -0.01 0.14 Firm 3 0.25 -0.01 1 0 .2 Firm 4 0.05 0.14 0. 2 1 An investor is looking for a portfolio with an expected return of 11%. Whan weight should she assign to Firm 3 to achieve a portfolio with (1) the lowest variance possible, and (2) an expected return of exactly 11%? Note the following: g= 1.75362 0.06611 -0.04089 -0.77884 h = -13.38079 1.47007 1.68944 10.22128 Answer in decimal format, rounded to 3 decimal places. For example, if your answer is 12.125%, enter "0.121". If your answer is 12.188%, enter "0.122

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