Question 1) If one of your stocks has a relatively high beta of 1.4 and is currently doing exceedingly well, why would you want a stock in your portfolio with a relatively low beta of 0.7 that has been recently under-performing? By diversifying your investments according to betas, have you entirely removed the potential risk of losses due to a declining stock market?
Question 2) If you are relatively risk adverse, would you require a higher beta stock to induce you to invest than the beta required by a person more willing to take risks? Explain. Is it possible to construct a portfolio that is risk free? Explain.