3. From your simulations find the (approximate and rounded up) number of periods it takes forji 1 to move half the way from its old to its new steady state value. In Exercise 3 you were asked to derive a formula for the half-life, h, given a rate of convergence, A. Relate the half-life you have just found to the one computed from the formula of that exercise, using A."' (1 -a) (n + g + J). Why can there be a (slight) difference between these half-lives?