A Markov-switching model is fit for eighteen exchange rates at quarterly and monthly frequencies. This model fits well in-sample at the quarterly frequency for many exchange rates. By the mean-squared-error or mean-absolute-error criterion. the Markov model does not generate superior forecasts...

We show that expected returns on US stocks and all major global stock market indices have a particular form of non-linear dependence on previous returns. The expected sign of returns tends to reverse after large price movements and trends tend to continue after small movements. The observed...