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In this paper we present a novel approach to the determination of fat tails in financial data by studying the information contained in the limit order book. In an order-driven market buyers and sellers may submit limit orders, which are…

交易与市场微观结构 · 定量金融 2015-03-19 Alex Langnau , Yanko Punchev

We study the intraday behaviour of the statistical moments of the trading volume of the blue chip equities that composed the Dow Jones Industrial Average index between 2003 and 2014. By splitting that time interval into semesters, we…

统计金融 · 定量金融 2018-10-30 Michelle B Graczyk , Silvio M D Queirós

We perform a quantitative analysis of the gain/loss asymmetry for financial time series by using a Bayesian approach. In particular, we focus on some selected indices and analyze the statistical significance of the asymmetry amount through…

统计金融 · 定量金融 2021-04-14 Andrea Giuseppe Di Iura , Giulia Terenzi

We propose a randomised version of the Heston model-a widely used stochastic volatility model in mathematical finance-assuming that the starting point of the variance process is a random variable. In such a system, we study the small-and…

证券定价 · 定量金融 2018-12-07 Antoine Jacquier , Fangwei Shi

We suggest an empirical model of investment strategy returns which elucidates the importance of non-Gaussian features, such as time-varying volatility, asymmetry and fat tails, in explaining the level of expected returns. Estimating the…

投资组合管理 · 定量金融 2011-12-07 Arthur M. Berd

A new model for stock price fluctuations is proposed, based upon an analogy with the motion of tracers in Gaussian random fields, as used in turbulent dispersion models and in studies of transport in dynamically disordered media. Analytical…

统计力学 · 物理学 2009-11-10 James P. Gleeson

We introduce a multi-factor stochastic volatility model based on the CIR/Heston volatility process that incorporates seasonality and the Samuelson effect. First, we give conditions on the seasonal term under which the corresponding…

证券定价 · 定量金融 2015-06-22 Lorenz Schneider , Bertrand Tavin

A microscopic dynamic model is here constructed and analyzed, describing the evolution of the income distribution in the presence of taxation and redistribution in a society in which also tax evasion and auditing processes occur. The focus…

综合金融 · 定量金融 2017-05-03 M. L. Bertotti , G. Modanese

We study how the phenomenon of contagion can take place in the network of the world's stock exchanges due to the behavioral trait "blindeness to small changes". On large scale individual, the delay in the collective response may…

综合金融 · 定量金融 2016-02-25 Lucia Bellenzier , Jørgen Vitting Andersen , Giulia Rotundo

We study properties of the cross-sectional distribution of returns. A significant anti-correlation between dispersion and cross-sectional kurtosis is found such that dispersion is high but kurtosis is low in panic times, and the opposite in…

统计金融 · 定量金融 2009-08-04 Lisa Borland

In this paper we propose a new model for volatility fluctuations in financial time series. This model relies on a non-stationary gaussian process that exhibits aging behavior. It turns out that its properties, over any finite time interval,…

统计金融 · 定量金融 2015-06-12 J. F. Muzy , R. Baile , E. Bacry

A statistical physics model for the time evolutions of stock portfolios is proposed. In this model the time series of price changes are coded into the sequences of up and down spins. The Hamiltonian of the system is introduced and is…

统计力学 · 物理学 2008-12-02 Jun-ichi Maskawa

We examine how the most prevalent stochastic properties of key financial time series have been affected during the recent financial crises. In particular we focus on changes associated with the remarkable economic events of the last two…

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…

综合金融 · 定量金融 2024-03-05 Jozef Barunik , Josef Kurka

We analyze quantitatively the effect of spurious multifractality induced by the presence of fat-tailed symmetric and asymmetric probability distributions of fluctuations in time series. In the presented approach different kinds of symmetric…

计算金融 · 定量金融 2018-05-31 Rafal Rak , Dariusz Grech

Financial volatility obeys two fascinating empirical regularities that apply to various assets, on various markets, and on various time scales: it is fat-tailed (more precisely power-law distributed) and it tends to be clustered in time.…

综合金融 · 定量金融 2023-09-12 Sabiou Inoua

In Financial Signal Processing, multiple time series such as financial indicators, stock prices and exchange rates are strongly coupled due to their dependence on the latent state of the market and therefore they are required to be jointly…

统计金融 · 定量金融 2020-02-17 Taco de Wolff , Alejandro Cuevas , Felipe Tobar

Option pricing formulas are derived from a non-Gaussian model of stock returns. Fluctuations are assumed to evolve according to a nonlinear Fokker-Planck equation which maximizes the Tsallis nonextensive entropy of index $q$. A generalized…

统计力学 · 物理学 2008-12-10 Lisa Borland

We extend upon the saddle-point equation presented in [1] to derive large-time model-implied volatility smiles, providing its theoretical foundation and studying its applications in classical models. As long as characteristic function…

数理金融 · 定量金融 2022-12-13 Chun Yat Yeung , Ali Hirsa

Closed form option pricing formulae explaining skew and smile are obtained within a parsimonious non-Gaussian framework. We extend the non-Gaussian option pricing model of L. Borland (Quantitative Finance, {\bf 2}, 415-431, 2002) to include…

其他凝聚态物理 · 物理学 2009-09-29 L. Borland , J. P. Bouchaud