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We consider a tick-by-tick model of price formation, in which buy and sell orders are modeled as self-exciting point processes (Hawkes process), similar to the one in [Bacry, Delattre, Hoffmann, Muzy, Modelling microstructure noise with…

Mathematical Finance · Quantitative Finance 2026-03-27 Paolo Dai Pra , Paolo Pigato

An analysis of the stylized facts in financial time series is carried out. We find that, instead of the heavy tails in asset return distributions, the slow decay behaviour in autocorrelation functions of absolute returns is actually…

Statistical Finance · Quantitative Finance 2015-03-13 Jie-Jun Tseng , Sai-Ping Li

For a given time horizon DT, this article explores the relationship between the realized volatility (the volatility that will occur between t and t+DT), the implied volatility (corresponding to at-the-money option with expiry at t+DT), and…

Pricing of Securities · Quantitative Finance 2009-01-16 Gilles Zumbach

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

Time-varying volatility is an inherent feature of most economic time-series, which causes standard correlation estimators to be inconsistent. The quadrant correlation estimator is consistent but very inefficient. We propose a novel…

Econometrics · Economics 2023-11-01 Peter Reinhard Hansen , Yiyao Luo

Financial stock returns correlations have been studied in the prism of random matrix theory, to distinguish the signal from the "noise". Eigenvalues of the matrix that are above the rescaled Marchenko Pastur distribution can be interpreted…

Statistical Finance · Quantitative Finance 2025-08-19 Ixandra Achitouv

While the investors' responses to price changes and their price forecasts are well accepted major factors contributing to large price fluctuations in financial markets, our study shows that investors' heterogeneous and dynamic risk aversion…

Physics and Society · Physics 2008-12-02 Baosheng Yuan , Kan Chen

We point out a stunning time asymmetry in the short time cross correlations between intra-day and overnight volatilities (absolute values of log-returns of stock prices). While overnight volatility is significantly (and positively)…

Statistical Finance · Quantitative Finance 2015-09-29 Rubina Zadourian , Peter Grassberger

Building on a prominent agent-based model, we present a new structural stochastic volatility asset pricing model of fundamentalists vs. chartists where the prices are determined based on excess demand. Specifically, this allows for…

Economics · Quantitative Finance 2016-05-02 Radu T. Pruna , Maria Polukarov , Nicholas R. Jennings

In this paper, we develop a hybrid approach to forecasting the volatility and risk of financial instruments by combining common econometric GARCH time series models with deep learning neural networks. For the latter, we employ Gated…

Risk Management · Quantitative Finance 2023-10-03 Jakub Michańków , Łukasz Kwiatkowski , Janusz Morajda

We investigate financial market correlations using random matrix theory and principal component analysis. We use random matrix theory to demonstrate that correlation matrices of asset price changes contain structure that is incompatible…

Statistical Finance · Quantitative Finance 2015-03-17 Daniel J. Fenn , Mason A. Porter , Stacy Williams , Mark McDonald , Neil F. Johnson , Nick S. Jones

A novel application of the correlation matrix formalism to study dynamics of the financial evolution is presented. This formalism allows to quantify the memory effects as well as some potential repeatable intradaily structures in the…

Soft Condensed Matter · Physics 2009-11-07 S. Drozdz , J. Kwapien , F. Gruemmer , F. Ruf , J. Speth

In practice daily volatility of portfolio returns is transformed to longer holding periods by multiplying by the square-root of time which assumes that returns are not serially correlated. Under this assumption this procedure of scaling can…

Risk Management · Quantitative Finance 2011-11-30 Nikolaus Rab , Richard Warnung

This paper estimates models of high frequency index futures returns using `around the clock' 5-minute returns that incorporate the following key features: multiple persistent stochastic volatility factors, jumps in prices and volatilities,…

Applications · Statistics 2014-01-23 Jonathan R. Stroud , Michael S. Johannes

Over the past 60 years, there has been a gradual increase in the volatility of daily returns for the S&P 500 Index. Hypothetically, suppose that market forces determine daily volatility such that a daily leveraged S&P 500 fund cannot…

Mathematical Finance · Quantitative Finance 2024-11-14 Hayden Brown

In this article we revisit the classic problem of tatonnement in price formation from a microstructure point of view, reviewing a recent body of theoretical and empirical work explaining how fluctuations in supply and demand are slowly…

Trading and Market Microstructure · Quantitative Finance 2008-12-02 Jean-Philippe Bouchaud , J. Doyne Farmer , Fabrizio Lillo

We propose a new class of financial volatility models, called the REcurrent Conditional Heteroskedastic (RECH) models, to improve both in-sample analysis and out-ofsample forecasting of the traditional conditional heteroskedastic models. In…

Econometrics · Economics 2022-01-25 T. -N. Nguyen , M. -N. Tran , R. Kohn

We show Bitcoin implied volatility on a 5 minute time horizon is modestly predictable from price, volatility momentum and alternative data including sentiment and engagement. Lagged Bitcoin index price and volatility movements contribute to…

Statistical Finance · Quantitative Finance 2020-10-30 Faizaan Pervaiz , Christopher Goh , Ashley Pennington , Samuel Holt , James West , Shaun Ng

In this paper, we develop econometric tools to analyze the integrated volatility of the efficient price and the dynamic properties of microstructure noise in high-frequency data under general dependent noise. We first develop consistent…

Statistics Theory · Mathematics 2018-06-14 Z. Merrick Li , Roger J. A. Laeven , Michel H. Vellekoop

We describe the impact of the intra-day activity pattern on the autocorrelation function estimator. We obtain an exact formula relating estimators of the autocorrelation functions of non-stationary process to its stationary counterpart.…

Statistical Finance · Quantitative Finance 2015-06-22 T. Gubiec , M. Wiliński