Please, write with a detailed solution)

Based on the following information Calculate

State of Economy	Probability of State of Economy	Rate of Return if State Occurs
		Stock A	Stock B
Recession	0.20	0.05	-0.17
Normal	0.55	0.08	0.12
Boom	0.25	0.13	0.29

a) The expected return of Stock A

b) The expected return of Stock B

c) The expected return of Portfolio where you invest $35,000 in Stock A and $45,000 in Stock B

d) Suppose Stock A has a beta of 0.8 and Stock B has a beta of 1.3. If you invest $35,000 in Stock A and $45,000 in Stock B, what is the beta of this portfolio?

e) Expected return on the market (R_M ) is 10% and the risk-free (r_f) is 4%. What must the the expected return on the portfolio according to CAPM? (Use the beta you have calculated in section d) for CAPM)