Exercise 11.13 In the multivariate Markov model (11.19) introduced in Example 11.6, suppose that X1 0 = X2 0 = A as the initial rating, αn = cn = 1 for n = 1, 2, and the conditional transition probabilities qn(i, j), n = 1, 2, are given by Table 10.1. Obtain the joint distribution (X1 T ,X2 T ) with T = 10 for the cases r = 0.5 and r = 0.1 by Monte Carlo simulation. Simulate the same multivariate Markov model except that c1 = 1 and c2 = 0, that is, the negatively correlated case.