Johansen and Sornette proposes that the crash has fundamentally an endogenous origin and exogenous shocks only serve as triggering factors. This endogenous force is shown in price as power law log-periodicity (PLLP) signature prior to a crash. We estimate the highly nonlinear model developed by...

Diba and Grossman (1988) and Hamilton and Whiteman (1985) recommended unit root tests for rational bubbles. They argued that if stock prices are not more explosive than dividends, then it can be concluded that rational bubbles are not present. Evans (1991) demonstrated that these tests will fail...