Question
Please check my work for part A. Please give as much explanation for part B as possible. I am not understanding 2. Assume that security
Please check my work for part A.
Please give as much explanation for part B as possible. I am not understanding
2. Assume that security returns are generated by the single index model
Ri = ai + BiRm + Ei
whereRiis the excess return for security iand Rm is the market's excess return.Suppose also that there are three securities A, B, and C characterized by the following data:
Security Beta Expected Return SD2 (Ei)
A 0.8 0.10 0.05
B 1.0 0.12 0.01
C 1.2 0.14 0.10
A.) (5 points) If SD2m*=0.04 calculate the variance (e.g. the total risk) of returns of securities A, B, and C.
Unsystematic Risk =SD2 (Ei)Total Risk = Unsystematic + Systematic
A = 0.05 + 0.025 = 0.0765
Systematic Risk = SD2m* B2 B= 0.01 + 0.04= 0.05
A = 0.04 * (0.8)2 = 0.025 C = 0.10 + 0.0576 = 0.1576
B = 0.04 * (1.0)2 = 0.04
C = 0.04 * (1.2)2 = 0.0576
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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