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We show that a simple and intuitive three-parameter equation fits remarkably well the evolution of the gross domestic product (GDP) in current and constant dollars of many countries during times of recession and recovery. We then argue that…

General Finance · Quantitative Finance 2009-08-22 Damien Challet , Sorin Solomon , Gur Yaari

Forecasting risk (as measured by quantiles) and systemic risk (as measured by Adrian and Brunnermeiers's (2016) CoVaR) is important in economics and finance. However, past research has shown that predictive relationships may be unstable…

Methodology · Statistics 2026-03-11 Yannick Hoga

We compare correlations and coherent structures in nuclei and financial markets. In the nuclear physics part we review giant resonances which can be interpreted as a coherent structure embedded in chaos. With similar methods we investigate…

Statistical Finance · Quantitative Finance 2015-05-14 J. Speth , S. Drozdz , F. Gruemmer

We investigate the daily correlation present among market indices of stock exchanges located all over the world in the time period Jan 1996 - Jul 2009. We discover that the correlation among market indices presents both a fast and a slow…

Statistical Finance · Quantitative Finance 2011-08-16 Dong-Ming Song , Michele Tumminello , Wei-Xing Zhou , Rosario N. Mantegna

Catastrophic events, though rare, do occur and when they occur, they have devastating effects. It is, therefore, of utmost importance to understand the complexity of the underlying dynamics and signatures of catastrophic events, such as…

General Finance · Quantitative Finance 2018-09-25 Anirban Chakraborti , Kiran Sharma , Hirdesh K. Pharasi , Sourish Das , Rakesh Chatterjee , Thomas H. Seligman

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

Methods for detecting structural changes, or change points, in time series data are widely used in many fields of science and engineering. This chapter sketches some basic methods for the analysis of structural changes in time series data.…

Statistical Finance · Quantitative Finance 2018-08-28 Christian Kleiber

We study the problem of testing for community structure in networks using relations between the observed frequencies of small subgraphs. We propose a simple test for the existence of communities based only on the frequencies of three-node…

Methodology · Statistics 2017-10-17 Chao Gao , John Lafferty

We demonstrate that the gain/loss asymmetry observed for stock indices vanishes if the temporal dependence structure is destroyed by scrambling the time series. We also show that an artificial index constructed by a simple average of a…

Statistical Finance · Quantitative Finance 2009-11-24 Johannes Vitalis Siven , Jeffrey Todd Lins

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

To identify emerging interdependencies between traded stocks we investigate the behavior of the stocks of FTSE 100 companies in the period 2000-2015, by looking at daily stock values. Exploiting the power of information theoretical measures…

Statistical Finance · Quantitative Finance 2017-07-05 Jacopo Rocchi , Enoch Yan Lok Tsui , David Saad

We propose a structural vector autoregressive model with a new and flexible specification of the volatility process which we call Sparse Heterogeneous Markov-Switching Heteroskedasticity. In this model, the conditional variance of each…

Econometrics · Economics 2026-03-18 Fei Shang , Tomasz Woźniak

The investigations of financial markets from a complex network perspective have unveiled many phenomenological properties, in which the majority of these studies map the financial markets into one complex network. In this work, we…

Statistical Finance · Quantitative Finance 2010-07-15 Meng-Cen Qian , Zhi-Qiang Jiang , Wei-Xing Zhou

This paper investigates the dynamics of in the S&P500 index from daily returns for the last 30 years. Using a stochastic geometry technique, each S&P500 yearly batch of data is embedded in a subspace that can be accurately described by a…

Statistical Mechanics · Physics 2016-08-16 Tanya Araújo , Francisco Louçã

The usage of a spot volatility estimate based on a volatility decomposition in a time-changed price-model according to the trading times is investigated. In this model clock-time volatility splits up into the product of tick-time volatility…

Probability · Mathematics 2016-05-10 Rainer Dahlhaus , Sophon Tunyavetchakit

The conventional formal tool to detect effects of the financial persistence is in terms of the Hurst exponent. A typical corresponding result is that its value comes out close to 0.5, as characteristic for geometric Brownian motion, with at…

Physics and Society · Physics 2008-12-02 R. Rak , S. Drozdz , J. Kwapien , P. Oswiecimka

While defaults are rare events, losses can be substantial even for credit portfolios with a large number of contracts. Therefore, not only a good evaluation of the probability of default is crucial, but also the severity of losses needs to…

Risk Management · Quantitative Finance 2012-03-15 Alexander Becker , Alexander F. R. Koivusalo , Rudi Schäfer

We propose a picture of stock market crashes as critical points in a hierachical system with discrete scaling. The critical exponent is then complex, leading to log-periodic fluctuations in stock market indexes. We present ``experimental''…

Condensed Matter · Physics 2015-06-25 James A. Feigenbaum , Peter G. O. Freund

Reliable estimates of volatility and correlation are fundamental in economics and finance for understanding the impact of macroeconomics events on the market and guiding future investments and policies. Dependence across financial returns…

In this paper, we develop a theory of common decomposition for two correlated Brownian motions, in which, by using change of time method, the correlated Brownian motions are represented by a triplet of processes, $(X,Y,T)$, where $X$ and…

Mathematical Finance · Quantitative Finance 2020-11-10 Tianyao Chen , Xue Cheng , Jingping Yang