Please do it by hand, DONT use excel

6. Use the following information for the problem. State of Probability of State of Economy Returns if State Occurs Stock S Economy Boom Stock T 0.10 12% 4% Normal Recession 0.65 9% 6% 2% 9% 0.25 a) Find the expected return of each stock Use at least seven decimal places in computations of (b), (c) and (d) below to avoid significant rounding errors. b) Calculate the variance and standard deviation of returns of each stock c) Compute the covariance and correlation of returns between the two stocks. d) Assume that you invest $4,500 in Stock S and $3,000 in Stock T. Find the expected return on the portfolio and the standard deviation of the portfolio's return