Question

Assume that security returns are generated by the single-index model,

R_i = α_i + β_iR_M + e_i
where R_i is the excess return for security i and R_M is the market’s excess return. The risk-free rate is 4%. Suppose also that there are three securities A, B, and C, characterized by the following data:

Security	βi	E(Ri)		σ(ei)
A	1.3	14%		27	%
B	1.5	16%		13	%
C	1.7	18%		22	%

a. If σ_M = 22%, calculate the variance of returns of securities A, B, and C.

	Variance Security A Security B Security C

b. Now assume that there are an infinite number of assets with return characteristics identical to those of A, B, and C, respectively. What will be the mean and variance of excess returns for securities A, B, and C?(Enter the variance answers as a percent squared and mean as a percentage. Do not round intermediate calculations. Round your answers to the nearest whole number.)

	Mean Variance Security A ?% Security B ?% Security C ?%

Answer 1