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There are three securities in the market. The following chart shows their possible payoffs: State Probability of Outcome Return on Security 1 Return on Security 2 Return on Security 3 1 .16 .197 .197 .047 2 .34 .147 .097 .097 3 .34 .097 .147 .147 4 .16 .047 .047 .197 a-1. What is the expected return of each security? (Do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g., 32.16.) Expected return Security 1 % Security 2 % Security 3 % a-2. What is the 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 Security 1 % Security 2 % Security 3 % b-1. What are the covariances between the pairs of securities? (A negative answer should be indicated by a minus sign. Do not round intermediate calculations and round your answers to 6 decimal places, e.g., 32.161616.) Covariance Security 1 & 2 Security 1 & 3 Security 2 & 3 b-2. What are the correlations between the pairs of securities? (A negative answer should be indicated by a minus sign. Do not round intermediate calculations and round your answers to 4 decimal places, e.g., 32.1616.) Correlation Security 1 & 2 Security 1 & 3 Security 2 & 3 c-1. What is the expected return 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 answer as a percent rounded to 2 decimal places, e.g., 32.16.) Expected return Security 1 & 2 % c-2. What is the 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 answer as a percent rounded to 2 decimal places, e.g., 32.16.) Standard deviation Security 1 & 2 % d-1. What is the expected return 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 answer as a percent rounded to 2 decimal places, e.g., 32.16.) Expected return Security 1 & 3 % d-2. What is the standard deviation of a portfolio with half of its funds invested in Security 1 and half in Security 3? (Leave no cells blank - be certain to enter "0" wherever required.) Standard deviation Security 1 & 3 e-1. What is the expected return 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 answer as a percent rounded to 2 decimal places, e.g., 32.16.) Expected return Security 2 & 3 % e-2. What is the 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 answer as a percent rounded to 2 decimal places, e.g., 32.16.) Standard deviation Security 2 & 3 %

Financial Management, Finance

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