The volatility of the market portfolio is $10\%$ and it has an expected return of $8\%.$ The risk$-$free rate is $3\%.$

a$.$ Compute the beta and expected return of each stock.

b$.$ Using your answer from part a$,$ calculate the expected return of the portfolio.

c$.$ What is the beta of the portfolio?

d$.$ Using your answer from part c$,$ calculate the expected return of the portfolio and verify that it matches your answer to part b$.$