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In this paper we employ deep learning techniques to detect financial asset bubbles by using observed call option prices. The proposed algorithm is widely applicable and model-independent. We test the accuracy of our methodology in numerical…

Mathematical Finance · Quantitative Finance 2024-06-21 Francesca Biagini , Lukas Gonon , Andrea Mazzon , Thilo Meyer-Brandis

We propose a novel model, the Hyped Log-Periodic Power Law Model (HLPPL), to the problem of quantifying and detecting financial bubbles, an ever-fascinating one for academics and practitioners alike. Bubble labels are generated using a…

Computational Finance · Quantitative Finance 2025-10-14 Zheng Cao , Xingran Shao , Yuheng Yan , Helyette Geman

We present a dynamical theory of asset price bubbles that exhibits the appearance of bubbles and their subsequent crashes. We show that when speculative trends dominate over fundamental beliefs, bubbles form, leading to the growth of asset…

adap-org · Physics 2008-02-03 Michael Youssefmir , Bernardo Huberman , Tad Hogg

Establishing unambiguously the existence of speculative bubbles is an on-going controversy complicated by the need of defining a model of fundamental prices. Here, we present a novel empirical method which bypasses all the difficulties of…

Statistical Mechanics · Physics 2015-06-24 B. M. Roehner , D. Sornette

The recent surge in valuations among AI related firms has renewed concerns that markets may be entering a new phase of speculative exuberance, especially in the technology and semiconductor sectors at the center of the AI investment wave.…

Methodology · Statistics 2026-05-12 Abir Sarkar , Martin T. Wells

We construct a statistical indicator for the detection of short-term asset price bubbles based on the information content of bid and ask market quotes for plain vanilla put and call options. Our construction makes use of the martingale…

Pricing of Securities · Quantitative Finance 2018-07-17 Petteri Piiroinen , Lassi Roininen , Tobias Schoden , Martin Simon

Based on a continuous-time stochastic volatility model with a linear drift, we develop a test for explosive behavior in financial asset prices at a low frequency when prices are sampled at a higher frequency. The test exploits the…

Econometrics · Economics 2024-05-06 H. Peter Boswijk , Jun Yu , Yang Zu

We study asset price bubbles in market models with proportional transaction costs $\lambda\in (0,1)$ and finite time horizon $T$ in the setting of [49]. By following [28], we define the fundamental value $F$ of a risky asset $S$ as the…

Mathematical Finance · Quantitative Finance 2020-12-09 Francesca Biagini , Thomas Reitsam

We introduce a new diffusion process Xt to describe asset prices within an economic bubble cycle. The main feature of the process, which differs from existing models, is the drift term where a mean-reversion is taken based on an exponential…

Mathematical Finance · Quantitative Finance 2018-03-23 Angelos Dassios , Luting Li

Identifying unambiguously the presence of a bubble in an asset price remains an unsolved problem in standard econometric and financial economic approaches. A large part of the problem is that the fundamental value of an asset is, in…

General Finance · Quantitative Finance 2010-11-25 Wanfeng Yan , Ryan Woodard , Didier Sornette

We propose a reduced form set of two coupled continuous time equations linking the price of a representative asset and the price of a bond, the later quantifying the cost of borrowing. The feedbacks between asset prices and bonds are…

General Finance · Quantitative Finance 2015-07-21 V. I. Yukalov , E. P. Yukalova , D. Sornette

Inflationary models that involve bursts of particle production generate bump-like features in the primordial power spectrum of density perturbations. These features influence the evolution of density fluctuations, leaving their unique…

Cosmology and Nongalactic Astrophysics · Physics 2025-05-19 Suvedha Suresh Naik , Pravabati Chingangbam , Saurabh Singh , Andrei Mesinger , Kazuyuki Furuuchi

In this study, we investigate asset price bubbles in a discrete-time, discrete-state market under model uncertainty and short sales prohibitions. Building on a new fundamental theorem of asset pricing and a superhedging duality in this…

Mathematical Finance · Quantitative Finance 2025-12-25 Wenqing Zhang

We present a self-consistent model for explosive financial bubbles, which combines a mean-reverting volatility process and a stochastic conditional return which reflects nonlinear positive feedbacks and continuous updates of the investors'…

Risk Management · Quantitative Finance 2014-08-26 L. Lin , Ren R. E , D. Sornette

Keeping a basic tenet of economic theory, rational expectations, we model the nonlinear positive feedback between agents in the stock market as an interplay between nonlinearity and multiplicative noise. The derived hyperbolic stochastic…

Statistical Mechanics · Physics 2009-11-07 D. Sornette , J. V. Andersen

By combining (i) the economic theory of rational expectation bubbles, (ii) behavioral finance on imitation and herding of investors and traders and (iii) the mathematical and statistical physics of bifurcations and phase transitions, the…

General Finance · Quantitative Finance 2010-02-07 Wanfeng Yan , Ryan Woodard , Didier Sornette

Using a recently introduced rational expectation model of bubbles, based on the interplay between stochasticity and positive feedbacks of prices on returns and volatility, we develop a new methodology to test how this model classifies 9…

Statistical Mechanics · Physics 2009-11-10 J. V. Andersen , D Sornette

We consider a simple stochastic differential equation for modeling bubbles in social context. A prime example is bubbles in asset pricing, but similar mechanisms may control a range of social phenomena driven by psychological factors (for…

General Finance · Quantitative Finance 2010-09-03 Alexander Kiselev , Lenya Ryzhik

In this paper, we examine the biases that arise when firms run A/B tests on continuous parameters to estimate global treatment effects on performance metrics of interest; we particularly focus on price experiments to measure the price…

Methodology · Statistics 2026-01-22 Ramesh Johari , Orrie B. Page , Gabriel Y. Weintraub

By combining (i) the economic theory of rational expectation bubbles, (ii) behavioral finance on imitation and herding of investors and traders and (iii) the mathematical and statistical physics of bifurcations and phase transitions, the…

Statistical Finance · Quantitative Finance 2010-07-08 Zhi-Qiang Jiang , Wei-Xing Zhou , Didier Sornette , Ryan Woodard , Ken Bastiaensen , Peter Cauwels
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