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We study how large fluctuations are spatially correlated in the presence of quantum diffusion during inflation. This is done by computing real-space correlation functions in the stochastic-$\delta N$ formalism. We first derive an exact…

Cosmology and Nongalactic Astrophysics · Physics 2024-08-29 Chiara Animali , Vincent Vennin

Financial markets are well known for their dramatic dynamics and consequences that affect much of the world's population. Consequently, much research has aimed at understanding, identifying and forecasting crashes and rebounds in financial…

General Finance · Quantitative Finance 2011-08-02 Wanfeng Yan , Reda Rebib , Ryan Woodard , Didier Sornette

Fluctuations in conjugate thermodynamic variables are studied using the cross-correlation function. A new procedure is given enabling the derivation of fluctuation formulas for a system in equilibrium. Specifically, the cross-correlation…

Statistical Mechanics · Physics 2024-07-03 Jean-Luc Garden

Realization of uncertainty of prices is captured by volatility, that is the tendency of prices to vary along a period of time. This is generally measured as standard deviation of daily returns. In this paper we propose and investigate the…

Computational Finance · Quantitative Finance 2017-05-04 Luigi Troiano , Elena Mejuto Villa , Pravesh Kriplani

We introduce a new identification strategy for uncertainty shocks to explain macroeconomic volatility in financial markets. The Chicago Board Options Exchange Volatility Index (VIX) measures market expectations of future volatility, but…

Econometrics · Economics 2024-11-06 Ayush Jha , Abootaleb Shirvani , Svetlozar T. Rachev , Frank J. Fabozzi

Dynamical systems in nature such as fluid flows, heart beat patterns, rainfall variability, stock market price fluctuations, etc. exhibit selfsimilar fractal fluctuations on all scales in space and time. Power spectral analyses of fractal…

General Physics · Physics 2007-05-23 A. M. Selvam

Investigating the thermal inflationary model, we introduce stochastic effects, incorporating a cutoff parameter $\sigma$ which distinguishes between quantum and classical modes. Testing the model against Planck 2018 data, we observe a…

General Relativity and Quantum Cosmology · Physics 2024-04-17 Abbas Tinwala , Ashish Narang , Subhendra Mohanty , Sukanta Panda

In setting up a stochastic description of the time evolution of a financial index, the challenge consists in devising a model compatible with all stylized facts emerging from the analysis of financial time series and providing a reliable…

Statistical Finance · Quantitative Finance 2009-11-13 Fulvio Baldovin , Attilio L. Stella

In this study, we evaluate the effects of natural disasters on the stock (market) values of firms located in the affected counties. We are able to measure the change in stock prices of the firms affected by the 2021 Texas winter storm. To…

Pricing of Securities · Quantitative Finance 2022-11-01 Sherry Hu , Kose John , Balbinder Singh Gill

Is the present economic and financial crisis similar to some previous one? It would be so nice to prove that universality laws exist for predicting such rare events under a minimum set of realistic hypotheses. First, I briefly recall…

General Finance · Quantitative Finance 2015-08-17 Marcel Ausloos

For the pedestrian observer, financial markets look completely random with erratic and uncontrollable behavior. To a large extend, this is correct. At first approximation the difference between real price changes and the random walk model…

Statistical Finance · Quantitative Finance 2011-08-22 Laurent Schoeffel

This paper shows that jumps in financial asset prices are often erroneously identified and are, in fact, rare events accounting for a very small proportion of the total price variation. We apply new econometric techniques to a comprehensive…

Econometrics · Economics 2026-02-12 Kim Christensen , Roel C. A. Oomen , Mark Podolskij

Fluctuation theorems have become an important tool in single molecule biophysics to measure free energy differences from non-equilibrium experiments. When significant coarse-graining or noise affect the measurements, the determination of…

Statistical Mechanics · Physics 2016-03-09 Reinaldo García-García , Sourabh Lahiri , David Lacoste

Fire sales are among the major drivers of market instability in modern financial systems. Due to iterated distressed selling and the associated price impact, initial shocks to some institutions can be amplified dramatically through the…

Risk Management · Quantitative Finance 2021-11-03 Nils Detering , Thilo Meyer-Brandis , Konstantinos Panagiotou , Daniel Ritter

Many natural systems exhibit dynamics characterized by alternating phases or recurring sets of states. Describing the fluctuations of such systems over stochastic trajectories is necessary across diverse fields, from biological motors to…

Statistical Mechanics · Physics 2025-12-17 Guilherme Fiusa , Pedro E. Harunari , Abhaya S. Hegde , Gabriel T. Landi

Financial crises are a recurrent phenomenon with important effects on the real economy. The financial system is inherently fragile and it is therefore of great importance to be able to measure and characterize its systemic stability.…

Statistics Theory · Mathematics 2011-12-08 Helena Ferreira , Marta Ferreira

We propose a new framework for measuring connectedness among financial variables that arises due to heterogeneous frequency responses to shocks. To estimate connectedness in short-, medium-, and long-term financial cycles, we introduce a…

Methodology · Statistics 2017-12-20 Jozef Barunik , Tomas Krehlik

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

The financial turmoil surrounding the Great Recession called for unprecedented intervention by Central Banks: unconventional policies affected various areas in the economy, including stock market volatility. In order to evaluate such…

General Finance · Quantitative Finance 2021-02-23 Giampiero M. Gallo , Demetrio Lacava , Edoardo Otranto

We utilize long-term memory, fractal dimension and approximate entropy as input variables for the Efficiency Index [Kristoufek & Vosvrda (2013), Physica A 392]. This way, we are able to comment on stock market efficiency after controlling…

Statistical Finance · Quantitative Finance 2015-06-16 Ladislav Kristoufek , Miloslav Vosvrda