This book evaluates formally the theory of rational bubbles. A general procedure for deriving rational bubbles is … applications various approaches of testing for rational bubbles are summarized. Finally, a so called direct test for the existence … existence of rational bubbles, at least when stock indexes were used …

Firstly, we use the Multi-Scale LPPLS Confidence Indicator approach to detectboth positive and negative bubbles at … that, our bubbles indicators,particularly when both positive and negative bubbles are considered simultaneously …

This paper provides an early warning indicator for bubbles in financial markets. The indicator is based on traditional … consensus bubbles and gives warning signals well ahead of the crash, in most cases as early as 12 months ahead. The indicator … also signals most of the 'negative bubbles' before their turning points …