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We study the concept of financial bubble in a market model endowed with a set of probability measures, typically mutually singular to each other. In this setting we introduce the notions of robust bubble and robust fundamental value in a…

Mathematical Finance · Quantitative Finance 2016-02-18 Francesca Biagini , Jacopo Mancin

We review the recent progress on the long-time behavior for a general class of focusing $L^2$-critical nonlinear Schr\"odinger equations (NLS) with lower order perturbations. Two canonical models are the stochastic NLS driven by linear…

Probability · Mathematics 2022-11-01 Viorel Barbu , Michael Röckner , Deng Zhang

We propose a set of dependence measures that are non-linear, local, invariant to a wide range of transformations on the marginals, can show tail and risk asymmetries, are always well-defined, are easy to estimate and can be used on any…

Statistical Finance · Quantitative Finance 2023-09-04 Aleksy Leeuwenkamp , Wentao Hu

Joint detection and estimation refers to deciding between two or more hypotheses and, depending on the test outcome, simultaneously estimating the unknown parameters of the underlying distribution. This problem is investigated in a…

Signal Processing · Electrical Eng. & Systems 2019-04-19 Dominik Reinhard , Michael Fauss , Abdelhak M. Zoubir

This paper develops a dynamic equilibrium model where agents exhibit a strong form of belief heterogeneity: they disagree about zero probability events. It is shown that, somewhat surprisingly, equilibrium exists in this setting, and that…

General Finance · Quantitative Finance 2013-06-24 Martin Larsson

A challenging problem in physics concerns the possibility of forecasting rare but extreme phenomena such as large earthquakes, financial market crashes, and material rupture. A promising line of research involves the early detection of…

Data Analysis, Statistics and Probability · Physics 2008-12-02 G. M. Viswanathan

It is a well known fact that local scale invariance plays a fundamental role in the theory of derivative pricing. Specific applications of this principle have been used quite often under the name of `change of numeraire', but in recent work…

Condensed Matter · Physics 2007-05-23 Jiri Hoogland , Dimitri Neumann , Michel Vellekoop

In a stochastic volatility framework, we find a general pricing equation for the class of payoffs depending on the terminal value of a market asset and its final quadratic variation. This allows a pricing tool for European-style claims…

Pricing of Securities · Quantitative Finance 2012-06-12 Lorenzo Torricelli

Recent empirical evidence has highlighted the crucial role of jumps in both price and volatility within the cryptocurrency market. In this paper, we integrate price--volatility co-jumps and volatility short-term dependency into a coherent…

Pricing of Securities · Quantitative Finance 2025-06-17 Boyi Li , Weixuan Xia

This study proposes a deep learning model based on the combination of convolutional neural network (CNN) and bidirectional long short-term memory network (BiLSTM) for discriminant analysis of financial systemic risk. The model first uses…

Machine Learning · Computer Science 2025-02-12 Yu Cheng , Zhen Xu , Yuan Chen , Yuhan Wang , Zhenghao Lin , Jinsong Liu

Emerging markets such as India provide investors with returns far greater than those in developed markets; taking the average returns from the period 1995 to 2014 the returns are 4.714% to 3.276% of the developed market. The majority of…

General Finance · Quantitative Finance 2022-07-28 Ganapathy G Gangadharan , N. Suresh

We consider a stochastic volatility model with jumps where the underlying asset price is driven by the process sum of a 2-dimensional Brownian motion and a 2-dimensional compensated Poisson process. The market is incomplete, resulting in…

Probability · Mathematics 2011-10-31 Youssef El-Khatib

There is by now a large consensus in modern monetary policy. This consensus has been built upon a dynamic general equilibrium model of optimal monetary policy as developed by, e.g., Goodfriend and King (1997), Clarida et al. (1999),…

Chaotic Dynamics · Physics 2009-11-11 Orlando Gomes , Vivaldo M. Mendes , Diana A. Mendes , J. Sousa Ramos

This study presents a three-step machine learning framework to predict bubbles in the S&P 500 stock market by combining financial news sentiment with macroeconomic indicators. Building on traditional econometric approaches, the proposed…

Statistical Finance · Quantitative Finance 2025-10-21 Abraham Atsiwo

An extensive empirical literature documents a generally negative correlation, named the "leverage effect," between asset returns and changes of volatility. It is more challenging to establish such a return-volatility relationship for jumps…

Statistics Theory · Mathematics 2017-12-11 Markus Bibinger , Christopher Neely , Lars Winkelmann

There is a growing concern in recent years over the potential formation of bubbles in the Chinese real estate market. This paper aims to conduct a series of bubble diagnostic analysis over nine representative Chinese cities from two…

Risk Management · Quantitative Finance 2018-01-12 Tianhao Zhi , Zhongfei Li , Zhiqiang Jiang , Lijian Wei , Didier Sornette

While a substantial literature on structural break change point analysis exists for univariate time series, research on large panel data models has not been as extensive. In this paper, a novel method for estimating panel models with…

Econometrics · Economics 2021-09-24 Oualid Bada , Alois Kneip , Dominik Liebl , Tim Mensinger , James Gualtieri , Robin C. Sickles

Methodology that recently lead us to predict to an amazing accuracy the date (July 11, 2008) of reverse of the oil price up trend is briefly summarized and some further aspects of the related oil price dynamics elaborated. This methodology…

Statistical Finance · Quantitative Finance 2008-12-02 Stanislaw Drozdz , Jaroslaw Kwapien , Pawel Oswiecimka

We introduce a new class of continuous-time models of the stochastic volatility of asset prices. The models can simultaneously incorporate roughness and slowly decaying autocorrelations, including proper long memory, which are two stylized…

Statistical Finance · Quantitative Finance 2021-01-06 Mikkel Bennedsen , Asger Lunde , Mikko S. Pakkanen

We develop theory leading to testing procedures for the presence of a change point in the intraday volatility pattern. The new theory is developed in the framework of Functional Data Analysis. It is based on a model akin to the stochastic…

Methodology · Statistics 2024-04-19 Piotr Kokoszka , Tim Kutta , Neda Mohammadi , Haonan Wang , Shixuan Wang