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K. Assume that security returns are generated by the single index model R = 0; + ARM+& where R; is the excess return for security

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K. Assume that security returns are generated by the single index model R = 0; + ARM+& where R; is the excess return for security i and Ry is the markets excess return. Suppose also that there are three securities A, B, and C characterized by the following data: 8(E) Security A B Beta 0.8 1.0 1.2 Expected Return 0.10 0.12 0.14 0.05 0.01 0.10 A.) (5 points) If ox=0.04 calculate the variance (e.g. the total risk) of returns of securities A, B, and C. B.) (5 points) Now assume there are an infinite number of assets with the return characteristics identical to those of A, B, and C, respectively. If one forms a well-diversified portfolio of type A securities, what will be the variance of the portfolio's return? Similarly, what will the variance of the portfolio's return for portfolios formed only from type B? type C? K. Assume that security returns are generated by the single index model R = 0; + ARM+& where R; is the excess return for security i and Ry is the markets excess return. Suppose also that there are three securities A, B, and C characterized by the following data: 8(E) Security A B Beta 0.8 1.0 1.2 Expected Return 0.10 0.12 0.14 0.05 0.01 0.10 A.) (5 points) If ox=0.04 calculate the variance (e.g. the total risk) of returns of securities A, B, and C. B.) (5 points) Now assume there are an infinite number of assets with the return characteristics identical to those of A, B, and C, respectively. If one forms a well-diversified portfolio of type A securities, what will be the variance of the portfolio's return? Similarly, what will the variance of the portfolio's return for portfolios formed only from type B? type C

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