There are two stocks in the market, stock A and stock B. The price of stock A today is $50. The price of stock A next year will be $40 if the economy is in a recession, $55 if the economy is normal, and $60 if the economy is expanding. The probabilities of recession, normal times, and expansion are 0.1, 0.8, and 0.1 respectively. Stock A pays no dividend. Assume CAPM is true. The volatility of the return on the market portfolio OM is 10%. The expected return of stock B is 7% and the volatility of the return of stock B is 12%. Furthermore, the correlation between the return on stock A and the market portfolio return is 0.8, the correlation between the return on stock B and the market portfolio return is 0.54, and the correlation between the returns of the two stocks is 0.6. What is the beta of stock B?
