***Please show the math! Thank you!

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

R_i = _i + _iR_M + e_i where R_i is the excess return for security i and R_M is the markets excess return. The risk-free rate is 3%. Suppose also that there are three securities A, B, and C, characterized by the following data:

Security	i	E(Ri)		(ei)
A	1.0	10	%	23	%
B	1.3	13		9
C	1.6	16		18

a. If _M = 20%, 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		%