Please do it carefully.4 decimal places in the middle,2 in final answer

2. The returns of two stocks and one bond in 4 possible states of economies are given below. Probability Stock A Stock B Bond C Recession 10% -25% -10% 5% Normal-bad 30% -5% 1% 5% Normal-good 40% 10% 6% 3% Boom 20% 30% 9% 1% (1) What is expected return and the standard deviation of the three assets? (2) What are the pairwise correlations among the 3 assets (i.e., PAB PAC,PBC)? (3) What is the Sharpe ratio of a 10% stock A, 20% stock B, and 70% bond portfolio (assuming R=0)