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There are three securities in the market. The following chart shows their possible payoffs: State 1 2. Probability Return on Return on Return on of
There are three securities in the market. The following chart shows their possible payoffs: State 1 2. Probability Return on Return on Return on of Outcome Security 1 Security 2 Security 3 .15 .203 .203 .053 .35 .153 .103 .103 .35 .103 .153 .153 .15 .053 .053 .203 -Nmt a. What is the expected return and standard deviation of each security? (Do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g., 32.16.) Standard Deviation Expected return % % Security 1 Security 2 Security 3 % % % % b. What are the covariances and correlations between the pairs of securities? (A negative answer should be indicated by a minus sign. Do not round intermediate calculations. Round your covariance answers to 5 decimal places, e.g., .32161. Round your correlation answers to 4 decimal places, e.g., 32.1616) Covariance Correlation Security 1 & 2 Security 1 & 3 Security 2 & 3 c. What is the expected return and standard deviation of a portfolio with half of its funds invested in Security 1 and half in Security 2? (Do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g., 32.16.) d. What is the expected return and standard deviation of a portfolio with half of its funds invested in Security 1 and half in Security 3? (Do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g., 32.16.) e. What is the expected return and standard deviation of a portfolio with half of its funds invested in Security 2 and half in Security 3? (Do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g., 32.16.) Expected return Standard deviation C. % % Security 1 & 2 d. Security 1 & 3 Security 2 & 3 % % e. % %
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