Assume that the following market model adequately describes the return-generating behavior of risky assets: Rit a+BiRMt+...
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Assume that the following market model adequately describes the return-generating behavior of risky assets: Rit a+BiRMt+ Eit Here: Rit=The return on the ith asset at Time t. RMt=The return on a portfolio containing all risky assets in some proportion at Time t. RMt and & it are statistically independent. Short selling (i.e., negative positions) is allowed in the market. You are given the following information: Asset Bi E(R) Var(i) A .83 9.71% .0800 B 1.22 13.36 .0163 C 1.69 15.05 .0244 The variance of the market is .0140, and there are no transaction costs. a. Calculate the standard deviation of returns for each asset. (Do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g., 32.16.) b. Calculate the variance of return of three portfolios containing an infinite number of asset types A, B, or C, respectively. (Do not round intermediate calculations and round your answers to 6 decimal places, e.g., .161616.) c. Assume the risk-free rate is 4.8 percent and the expected return on the market is 10.8 percent. What are the expected returns of each asset? (Do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g., 32.16.) a. A standard deviation % a. B standard deviation % a. C standard deviation % b. A variance b. B variance b. C variance c-1. A expected return c-1. B expected return % c-1. C expected return % Assume that the following market model adequately describes the return-generating behavior of risky assets: Rit a+BiRMt+ Eit Here: Rit=The return on the ith asset at Time t. RMt=The return on a portfolio containing all risky assets in some proportion at Time t. RMt and & it are statistically independent. Short selling (i.e., negative positions) is allowed in the market. You are given the following information: Asset Bi E(R) Var(i) A .83 9.71% .0800 B 1.22 13.36 .0163 C 1.69 15.05 .0244 The variance of the market is .0140, and there are no transaction costs. a. Calculate the standard deviation of returns for each asset. (Do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g., 32.16.) b. Calculate the variance of return of three portfolios containing an infinite number of asset types A, B, or C, respectively. (Do not round intermediate calculations and round your answers to 6 decimal places, e.g., .161616.) c. Assume the risk-free rate is 4.8 percent and the expected return on the market is 10.8 percent. What are the expected returns of each asset? (Do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g., 32.16.) a. A standard deviation % a. B standard deviation % a. C standard deviation % b. A variance b. B variance b. C variance c-1. A expected return c-1. B expected return % c-1. C expected return %
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