We show that expected returns on US stocks and all major stock world market indices are non-linearly dependent on previous returns. The expected sign of returns tends to reverse after large price movements and trends tend to continue after small movements. This property can be captured by a...

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...