Question: Consider d=4 assets whose returns R j are modelled with Sharp's single-index model with zero interest rates, with R j = +*R M + j

Consider d=4 assets whose returns Rj are modelled with Sharp's single-index model with zero interest rates, with Rj = +*RM +j, where
 
RM is the market portfolio return, 
 = 0.1 is the i's stock's alpha, or abnormal return, 
 
=0.3 is the i's stocks's beta, or responsiveness to the market return, and
j are independent and normally distributed with mean zero 
and standard deviation =0.3, also independent of RM. 
We furthermore assume that the expected return of the market portfolio is 
M=0.4 and with standard deviation M=0.2. 
Note that we do not assume any further knowledge on the distribution of RM.
 

What is the expected return of Asset 1?

Please insert your result with two decimal places. So for instance if your result is 0.0123 then state 0.01.

What is the expected return of Asset 2?
 
Please insert your result with two decimal places. So for instance if your result is 0.0123 then state 0.01.
What is the variance of the returns of Asset 1?
 
Please insert your result with four decimal places. 
So for instance if your result is 0.01234 then state 0.0123.
What is the variance of the returns of Asset 2?
 
Please insert your result with four decimal places.
So for instance if your result is 0.01234 then state 0.0123.
What is the variance of the returns of Asset 3?
 
Please insert your result with four decimal places.
So for instance if your result is 0.01234 then state 0.0123.
What is the variance of the returns of Asset 4?
 
Please insert your result with four decimal places.
So for instance if your result is 0.01234 then state 0.0123.

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