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In this paper, the higher order dynamics of individual illiquid stocks are investigated. We show that considering the classical powers correlation could lead to a spurious assessment of the volatility persistency or long memory volatility…

Statistics Theory · Mathematics 2021-04-12 Valentin Patilea , Hamdi Raïssi

This paper proposes a flexible framework for inferring large-scale time-varying and time-lagged correlation networks from multivariate or high-dimensional non-stationary time series with piecewise smooth trends. Built on a novel and unified…

Methodology · Statistics 2023-02-13 Lujia Bai , Weichi Wu

Trading styles can be classified into either trend-following or mean-reverting. If the net trading style is trend-following the traded asset is more likely to move in the same direction it moved previously (the opposite is true if the net…

General Finance · Quantitative Finance 2021-09-20 Lawrence Middleton , James Dodd , Simone Rijavec

We shortly review the statistical properties of the escape times, or hitting times, for stock price returns by using different models which describe the stock market evolution. We compare the probability function (PF) of these escape times…

Statistical Finance · Quantitative Finance 2015-05-13 Bernardo Spagnolo , Davide Valenti

In this paper we present results of a short-term optical monitoring of 13 blazars. The objects were monitored mostly in the R-band for a total of ~ 160 hours between 2006 and 2011. We study the nature of the short-term variations and show…

High Energy Astrophysical Phenomena · Physics 2013-11-21 R. Bachev , E. Semkov , A. Strigachev , Alok C. Gupta , Haritma Gaur , B. Mihov , S. Boeva , L. Slavcheva-Mihova

The extreme event statistics plays a very important role in the theory and practice of time series analysis. The reassembly of classical theoretical results is often undermined by non-stationarity and dependence between increments.…

Statistical Finance · Quantitative Finance 2015-05-28 Mauro Politi , Nicolas Millot , Anirban Chakraborti

Intertemporal decision making involves choices among options whose effects occur at different moments. These choices are influenced not only by the effect of rewards value perception at different moments, but also by the time perception…

General Finance · Quantitative Finance 2011-05-19 Natalia Destefano , Alexandre Souto Martinez

We describe how the market-based average and volatility of the "actual" return, which the investors gain within their market sales, depend on the statistical moments, volatilities, and correlations of the current and past market trade…

General Economics · Economics 2024-02-22 Victor Olkhov

We analyze the sequence of time intervals between consecutive stock trades of thirty companies representing eight sectors of the U. S. economy over a period of four years. For all companies we find that: (i) the probability density function…

Statistical Mechanics · Physics 2009-11-10 Plamen Ch. Ivanov , Ainslie Yuen , Boris Podobnik , Youngki Lee

We propose a general interpretation for long-range correlation effects in the activity and volatility of financial markets. This interpretation is based on the fact that the choice between `active' and `inactive' strategies is subordinated…

Condensed Matter · Physics 2007-05-23 Jean-Philippe Bouchaud , Irene Giardina , Marc Mezard

We analyze daily prices of 29 commodities and 2449 stocks, each over a period of $\approx 15$ years. We find that the price fluctuations for commodities have a significantly broader multifractal spectrum than for stocks. We also propose…

Statistical Mechanics · Physics 2009-11-10 Kaushik Matia , Yosef Ashkenazy , H. Eugene Stanley

In an efficient stock market, the log-returns and their time-dependent variances are often jointly modelled by stochastic volatility models (SVMs). Many SVMs assume that errors in log-return and latent volatility process are uncorrelated,…

Methodology · Statistics 2016-05-10 Sujay Mukhoti , Pritam Ranjan

We investigate the large-volatility dynamics in financial markets, based on the minute-to-minute and daily data of the Chinese Indices and German DAX. The dynamic relaxation both before and after large volatilities is characterized by a…

Statistical Finance · Quantitative Finance 2011-03-28 X. F. Jiang , B. Zheng , J. Shen

This paper seeks to forecast intraday volatility curves for major foreign exchange (FX) currencies using functional GARCH models. Intraday return curves are observed at a daily frequency, yet preserve the full high-frequency trading…

Methodology · Statistics 2025-10-01 Fearghal Kearney , Han Lin Shang , Yuqian Zhao

The price impact for a single trade is estimated by the immediate response on an event time scale, i.e., the immediate change of midpoint prices before and after a trade. We work out the price impacts across a correlated financial market.…

Trading and Market Microstructure · Quantitative Finance 2019-04-23 Shanshan Wang , Sebastian Neusüß , Thomas Guhr

We introduce a framework to infer lead-lag networks between the states of elements of complex systems, determined at different timescales. As such networks encode the causal structure of a system, infering lead-lag networks for many pairs…

Statistical Finance · Quantitative Finance 2020-04-08 Marcus Cordi , Damien Challet , Serge Kassibrakis

This paper derives explicit formulas for both the small and large time limits of the implied volatility in the minimal market model. It is shown that interest rates do impact on the implied volatility in the long run even though they are…

Pricing of Securities · Quantitative Finance 2011-10-12 Zhi Guo , Eckhard Platen

Grasping the historical volatility of stock market indices and accurately estimating are two of the major focuses of those involved in the financial securities industry and derivative instruments pricing. This paper presents the results of…

Mathematical Finance · Quantitative Finance 2022-05-04 Claudiu Vinte , Marcel Ausloos , Titus Felix Furtuna

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

Recent studies have revealed a deep connection between the asymmetry of cross-correlations and thermodynamic quantities in the short-time limit. In this study, we address the finite-time domain of the asymmetry for both open classical and…

Statistical Mechanics · Physics 2024-03-13 Tan Van Vu , Van Tuan Vo , Keiji Saito