Arbeitspapier

Statistical modelling of financial crashes: Rapid growth, illusion of certainty and contagion

We develop a rational expectations model of financial bubbles and study ways in which a generic risk-return interplay is incorporated into prices. We retain the interpretation of the leading Johansen-Ledoit-Sornette model, namely, that the price must rise prior to a crash in order to compensate a representative investor for the level of risk. This is accompanied, in our stochastic model, by an illusion of certainty as described by a decreasing volatility function. The basic model is then extended to incorporate multivariate bubbles and contagion, non-Gaussian models and models based on stochastic volatility. Only in a stochastic volatility model where the mean of the log-returns is considered fixed does volatility increase prior to a crash.

Language
Englisch

Bibliographic citation
Series: EERI Research Paper Series ; No. 10/2009

Classification
Wirtschaft
Mathematical and Quantitative Methods: General
Prices, Business Fluctuations, and Cycles: General (includes Measurement and Data)
General Financial Markets: General (includes Measurement and Data)
Subject
Financial crashes
super-exponential growth
illusion of certainty
contagion
housing-bubble

Event
Geistige Schöpfung
(who)
Fry, John M.
Event
Veröffentlichung
(who)
Economics and Econometrics Research Institute (EERI)
(where)
Brussels
(when)
2009

Handle
Last update
10.03.2025, 11:44 AM CET

Data provider

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Object type

  • Arbeitspapier

Associated

  • Fry, John M.
  • Economics and Econometrics Research Institute (EERI)

Time of origin

  • 2009

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