Investment Mana

Stocks A and B have the following retums in each of the states given below. Stock A return Stock B return Boom 12% 1% Normal Economy Recession 10% I -5% -5% 15% The probability of the boom is 0.5, the probability of the normal economy is 0.3 and the probability of the recession is 0.2. (a) Calculate the variance of the returns of A and the variance of the returns of B (b) What is the covariance between the returns of A and B? (c) What is the standard deviation of a portfolio of A and B with equal amounts invested in both