Assume each state of nature has an equal probability of occurrence. Holding period returns in percent State of Nature 1 2 3 4 A -10 5 15 20 B 2508 12 -8 a) Calculate the expected rate of return for A and B b) Calculate the variance, standard deviation, and coefficient of variation for A and B c) Calculate the semi variance and semi deviation for A and B d) Calculate the covariance and correlation between A and B Assuming you invest 60% of your net worth in A and 40% in B e) Calculate the expected return of the 2 asset portfolio f) Calculate the variance and standard deviation of the 2 asset portfolio