A NONLINEAR SUPER-EXPONENTIAL RATIONAL MODEL OF SPECULATIVE FINANCIAL BUBBLES

DOI10.1142/S0129183102003085zbMath1115.91341arXivcond-mat/0104341OpenAlexW3123500614MaRDI QIDQ3368589

J. V. Andersen, Didier Sornette

Publication date: 31 January 2006

Published in: International Journal of Modern Physics C (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/cond-mat/0104341

zbMATH Keywords

nonlinearityjump processesrational bubblescrashes

Mathematics Subject Classification ID

Applications of statistics to actuarial sciences and financial mathematics (62P05)

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Cites Work

• Bubbles and market crashes
• Time series properties of an artificial stock market
• Agent-based computational finance: Suggested readings and early research
• Endogenous fluctuations in a simple asset pricing model with heterogeneous agents
• CRASHES AS CRITICAL POINTS
• MATHEMATICAL MODEL OF HUMAN GESTATION AND PARTURITION: IMPLICATIONS FOR EARLY DIAGNOSIS OF PREMATURITY AND POSTMATURITY
• SEARCH FOR LOG-PERIODIC OSCILLATIONS IN STOCK MARKET SIMULATIONS
• General Black-Scholes models accounting for increased market volatility from hedging strategies
• Option pricing when underlying stock returns are discontinuous
• Option pricing: A simplified approach
• Dynamical models of stock market exchanges: From microscopic determinism to macroscopic randomness