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We report evidence of a deep interplay between cross-correlations hierarchical properties and multifractality of New York Stock Exchange daily stock returns. The degree of multifractality displayed by different stocks is found to be…

Statistical Finance · Quantitative Finance 2014-04-10 Raffaello Morales , T. Di Matteo , Tomaso Aste

In this paper, we present a method of estimating the volatility of a signal that displays stochastic noise (such as a risky asset traded on an open market) utilizing Linear Predictive Coding. The main purpose is to associate volatility with…

Information Theory · Computer Science 2007-07-13 Louis Mello

Stock volatility prediction is an important task in the financial industry. Recent advancements in multimodal methodologies, which integrate both textual and auditory data, have demonstrated significant improvements in this domain, such as…

Machine Learning · Computer Science 2024-07-29 Shengkun Wang , Taoran Ji , Jianfeng He , Mariam Almutairi , Dan Wang , Linhan Wang , Min Zhang , Chang-Tien Lu

In this paper, we propose a novel high-dimensional time-varying coefficient estimator for noisy high-frequency observations with a factor structure. In high-frequency finance, we often observe that noises dominate the signal of underlying…

Methodology · Statistics 2026-05-12 Minseok Shin , Donggyu Kim

We perform a parallel analysis of the spectral density of (i) the logarithm of price and (ii) the daily number of trades of a set of stocks traded in the New York Stock Exchange. The stocks are selected to be representative of a wide range…

Statistical Mechanics · Physics 2009-10-31 Giovanni Bonanno , Fabrizio Lillo , Rosario N. Mantegna

Volatility dynamics of wavelet - filtered stock price time series is studied. Using the universal thresholding method of wavelet filtering and a principle of minimal linear autocorrelation of noise component we find that the quantitative…

Physics and Society · Physics 2008-12-02 I. M. Dremin , A. V. Leonidov

We study the sensitivity to estimation error of portfolios optimized under various risk measures, including variance, absolute deviation, expected shortfall and maximal loss. We introduce a measure of portfolio sensitivity and test the…

Physics and Society · Physics 2008-12-02 Imre Kondor , Szilard Pafka , Gabor Nagy

This thesis mainly focuses on two problems in capital structure and individual's life-cycle portfolio choice. In the first problem, we derive a stochastic control model to optimize banks' dividend and recapitalization policies and calibrate…

Mathematical Finance · Quantitative Finance 2021-07-07 Shan Huang

We show that results from the theory of random matrices are potentially of great interest to understand the statistical structure of the empirical correlation matrices appearing in the study of price fluctuations. The central result of the…

Condensed Matter · Physics 2009-10-31 Laurent Laloux , Pierre Cizeau , Jean-Philippe Bouchaud , Marc Potters

This paper builds a model of high-frequency equity returns by separately modeling the dynamics of trade-time returns and trade arrivals. Our main contributions are threefold. First, we characterize the distributional behavior of…

Trading and Market Microstructure · Quantitative Finance 2014-09-02 Eric M. Aldrich , Indra Heckenbach , Gregory Laughlin

One approach to the analysis of stochastic fluctuations in market prices is to model characteristics of investor behaviour and the complex interactions between market participants, with the aim of extracting consequences in the aggregate.…

Probability · Mathematics 2008-12-02 Erhan Bayraktar , Ulrich Horst , Ronnie Sircar

We develop further the spot volatility estimator introduced in Hoffmann, Munk and Schmidt-Hieber (2012) from a practical point of view and make it useful for the analysis of high-frequency financial data. In a first part, we adjust the…

Applications · Statistics 2013-09-25 Till Sabel , Johannes Schmidt-Hieber , Axel Munk

Using intraday data for the cross-section of individual stocks, we show that both transitory and persistent fluctuations in realized market and average idiosyncratic volatility, skewness and kurtosis are differentially priced in the…

General Finance · Quantitative Finance 2024-03-05 Jozef Barunik , Josef Kurka

The concept of multifractality offers a powerful formal tool to filter out multitude of the most relevant characteristics of complex time series. The related studies thus far presented in the scientific literature typically limit themselves…

Statistical Finance · Quantitative Finance 2018-09-25 Stanisław Drożdż , Rafał Kowalski , Paweł Oświȩcimka , Rafał Rak , Robert Gȩbarowski

This paper examines the applicability of Random Matrix Theory to portfolio management in finance. Starting from a group of normally distributed stochastic processes with given correlations we devise an algorithm for removing noise from the…

Statistical Mechanics · Physics 2008-12-02 Przemyslaw Repetowicz , Peter Richmond

We attempt to reconcile Gabaix and Koijen's (GK) recent Inelastic Market Hypothesis (IMH) with the order-driven view of markets that emerged within the microstructure literature in the past 20 years. We review the most salient empirical…

General Economics · Economics 2022-01-12 Jean-Philippe Bouchaud

Norms of Persistent Homology introduced in topological data analysis are seen as indicators of system instability, analogous to the changing predictability that is captured in financial market uncertainty indexes. This paper demonstrates…

General Finance · Quantitative Finance 2021-10-04 Simon Rudkin , Wanling Qiu , Pawel Dlotko

In this paper we propose a bivariate generalization of a weighted indexed semi-Markov chains to study the high frequency price dynamics of traded stocks. We assume that financial returns are described by a weighted indexed semi-Markov chain…

Statistical Finance · Quantitative Finance 2013-05-03 Guglielmo D'Amico , Filippo Petroni

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

In this paper we attempt to introduce an econophysics approach to evaluate some aspects of the risks in financial markets. For this purpose, the thermodynamical methods and statistical physics results about entropy and equilibrium states in…

Risk Management · Quantitative Finance 2009-08-03 Anca Gheorghiu , Ion Spanulescu