We derive optimality conditions and calculate approximate solutions to the problem of determining the optimal speed of mean reversion to be applied to a Gaussian state variable. The optimality criterion is the minimization of the variance of the Radon-Nikodym derivative of the measure ”with mean-reversion” with respect to the measure ”without mean-reversion” under constraints. We show that we c...

We examine how cross-country differences in product, capital, and labor market competition, as well as earnings management affect mean reversion in accounting return on assets. Using a sample of 48,465 unique firms from 49 countries, we find that accounting returns mean revert faster in countries where there is more product and capital market competition, as predicted by economic theory. Countr...