The stock market comprises two stocks, A and B, and a risk-free asset. The return on the risk-free asset is Rf = 1%. The table below gives next period's returns of the two stocks, Ra and Rb, in each state of the world.

State	Probability	Ra	Rb
Boom	25%	9%	3%
Recovery	50%	5%	1%
Recession	25%	-4%	-1%

[PartA] Calculate the expected returns of stocks A and B and the standard deviations of these returns

[PartB] Calculate the covariance between A and B's returns and their correlation coefficient

[PartC] What is the minimum-variance portfolio composed of stocks A and B?

[PartD] What are the weights of stocks A and B in the tangency portfolio?