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Using high frequency data, we have studied empirically the change of volatility, also called volatility derivative, for various time horizons. In particular, the correlation between the volatility derivative and the volatility realized in…

统计力学 · 物理学 2009-11-07 Gilles Zumbach , Paul Lynch

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…

统计金融 · 定量金融 2015-03-13 Jie-Jun Tseng , Sai-Ping Li

The study of long-horizon returns has received a great deal of attention in recent years (see, for example, Boudoukh, Richardson, and Whitelaw (2008), Neuberger (2012) and Lee (2013), Fama and French (2018)). While most of the discussions…

风险管理 · 定量金融 2022-01-20 Hwai-Chung Ho

It is commonly believed that the correlations between stock returns increase in high volatility periods. We investigate how much of these correlations can be explained within a simple non-Gaussian one-factor description with time…

无序系统与神经网络 · 物理学 2008-12-02 Pierre Cizeau , Marc Potters , Jean-Philippe Bouchaud

It is widely accepted that there is strong persistence in the volatility of financial time series. The origin of the observed persistence, or long-range memory, is still an open problem as the observed phenomenon could be a spurious effect.…

统计金融 · 定量金融 2018-04-24 Vygintas Gontis , Aleksejus Kononovicius

Stock markets can be characterized by fat tails in the volatility distribution, clustering of volatilities and slow decay of their time correlations. For an explanation models with several mechanisms and consequently many parameters as the…

统计力学 · 物理学 2009-11-07 Friedrich Wagner

In this paper, we revisit the relationship between investors' utility functions and portfolio allocation rules. We derive portfolio allocation rules for asymmetric Laplace distributed $ALD(\mu,\sigma,\kappa)$ returns and compare them with…

投资组合管理 · 定量金融 2023-11-14 Maxime Markov , Vladimir Markov

In the standard equilibrium and/or arbitrage pricing framework, the value of any asset is uniquely specified from the belief that only the systematic risks need to be remunerated by the market. Here, we show that, even for arbitrary large…

物理与社会 · 物理学 2008-12-02 Y. Malevergne , D. Sornette

Reliable calculations of financial risk require that the fat-tailed nature of prices changes is included in risk measures. To this end, a non-Gaussian approach to financial risk management is presented, modeling the power-law tails of the…

物理与社会 · 物理学 2008-12-02 G. Bormetti , E. Cisana , G. Montagna , O. Nicrosini

We investigate the volatility return intervals in the NYSE and FOREX markets. We explain previous empirical findings using a model based on the interacting agent hypothesis instead of the widely-used efficient market hypothesis. We derive…

综合金融 · 定量金融 2016-10-26 Vygintas Gontis , Shlomo Havlin , Aleksejus Kononovicius , Boris Podobnik , H. Eugene Stanley

Beta-sorted portfolios -- portfolios comprised of assets with similar covariation to selected risk factors -- are a popular tool in empirical finance to analyze models of (conditional) expected returns. Despite their widespread use, little…

计量经济学 · 经济学 2024-11-12 Matias D. Cattaneo , Richard K. Crump , Weining Wang

We present a theory of option pricing and hedging, designed to address non-perfect arbitrage, market friction and the presence of `fat' tails. An implied volatility `smile' is predicted. We give precise estimates of the residual risk…

凝聚态物理 · 物理学 2016-08-31 Jean-Philippe Bouchaud , Giulia Iori , Didier Sornette

The presence of non linear instruments is responsible for the emergence of non Gaussian features in the price changes distribution of realistic portfolios, even for Normally distributed risk factors. This is especially true for the…

风险管理 · 定量金融 2010-11-23 Giacomo Bormetti , Valentina Cazzola , Danilo Delpini , Giacomo Livan

What is the best market-neutral implementation of classical Equity Factors? Should one use the specific predictability of the short-leg to build a zero beta Long-Short portfolio, in spite of the specific costs associated to shorting, or is…

投资组合管理 · 定量金融 2021-04-07 Florent Benaych-Georges , Jean-Philippe Bouchaud , Stefano Ciliberti

The purpose of this work is to explore the role that random arbitrage opportunities play in pricing financial derivatives. We use a non-equilibrium model to set up a stochastic portfolio, and for the random arbitrage return, we choose a…

其他凝聚态物理 · 物理学 2008-12-10 Sergei Fedotov , Stephanos Panayides

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

In order to estimate the conditional risk of a portfolio's return, two strategies can be advocated. A multivariate strategy requires estimating a dynamic model for the vector of risk factors, which is often challenging, when at all…

计量经济学 · 经济学 2019-09-12 Christian Francq , Jean-Michel Zakoian

The recent empirical work of Amaya et al. (2015) has pointed out that the realized skewness, which is the sample skewness of intraday high-frequency returns of a financial asset, serves as forecasting future returns in the cross-section.…

统计理论 · 数学 2018-01-22 Yuta Koike , Zhi Liu

In this paper we extend the theory of option pricing to take into account and explain the empirical evidence for asset prices such as non-Gaussian returns, long-range dependence, volatility clustering, non-Gaussian copula dependence, as…

数理金融 · 定量金融 2017-11-28 Stoyan V. Stoyanov , Yong Shin Kim , Svetlozar T. Rachev , Frank J. Fabozzi

Single index financial market models cannot account for the empirically observed complex interactions between shares in a market. We describe a multi-share financial market model and compare characteristics of the volatility, that is the…

凝聚态物理 · 物理学 2009-10-31 Adam Ponzi