Question: Suppose that the excess return for all securities can be described by a single index model: R i = i + i R m +
Suppose that the excess return for all securities can be described by a single index model: Ri = i + iRm + ei
The standard deviation of the market portfolio is 18%. Data for securities A, B and C are presented in the table below:
| Security | i | E(Ri) | (ei) |
| A | 0.7 | 12% | 24% |
| B | 1.2 | 14% | 15% |
| C | 1.3 | 13% | 10% |
Part 1
Suppose that an investor forms a well-diversified portfolio of type A securities. What would be the variance of the portfolio's excess return, assuming there is an infinite number of securities with return characteristics which are identical to the characteristics of security A?
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