We have assets A and B with the following distribution of returns:

Probability Return of A Return of B

.1 .01 -.14

.2 .03 0

.4 .05 .14

.2 .07 .3

.1 .09 .5

a) Find expected returns for A and B

b) Find the variances of A and B

c) Find the covariance of A and B

d) Use formula for portfolio returns and risk to write the expected portfolio return and standard deviation for an equally weighted portfolio of A and B

e) Use formula to find the portfolio weights, a* and 1-a*for minimum variance portfolio A and B

f) Find the portfolio return and standard deviation of the minimum variance portfolio

Thank you