Suppose productivity evolves over time according to a two-states Markov chain with values A_t = 1 - d and A_h = 1 + d where d > 0 is a real number and with with 2 by 2 transition matrix: P = \begin{bmatrix} p & 1-p \\ 1-p & p \end{matrix} where p \in (0,1) is a real number. Compute the stationary distribution of the stochastic process for productivity. Using this, find the values of the parameters d and p so that, using the stationary distribution, the stochastic process for productivity has standard deviation equal to 0.05 and first order autocorrelation equal to 0.95