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Financial time series exhibit a number of interesting properties that are difficult to explain with simple models. These properties include fat-tails in the distribution of price fluctuations (or returns) that are slowly removed at longer…

统计金融 · 定量金融 2013-11-19 Raoul Golan , Austin Gerig

It is well known that the probability distribution of high-frequency financial returns is characterized by a leptokurtic, heavy-tailed shape. This behavior undermines the typical assumption of Gaussian log-returns behind the standard…

统计金融 · 定量金融 2023-06-14 Federica De Domenico , Giacomo Livan , Guido Montagna , Oreste Nicrosini

We study several aspects of the so-called low-vol and low-beta anomalies, some already documented (such as the universality of the effect over different geographical zones), others hitherto not clearly discussed in the literature. Our most…

投资组合管理 · 定量金融 2015-10-08 S. Ciliberti , Y. Lempérière , A. Beveratos , G. Simon , L. Laloux , M. Potters , J. P. Bouchaud

Multivariate probability density functions of returns are constructed in order to model the empirical behavior of returns in a financial time series. They describe the well-established deviations from the Gaussian random walk, such as an…

其他凝聚态物理 · 物理学 2009-11-10 M. I. Krivoruchenko , E. Alessio , V. Frappietro , L. J. Streckert

In this work we afford the statistical characterization of a linear Stochastic Volatility Model featuring Inverse Gamma stationary distribution for the instantaneous volatility. We detail the derivation of the moments of the return…

统计金融 · 定量金融 2015-05-20 Danilo Delpini , Giacomo Bormetti

The aim of this paper is to propose a heterogeneous agent model of stock markets that develop complicated endogenous price fluctuations. We find occurrences of non-stationary chaos, or speculative bubble, are caused by the heterogeneity of…

混沌动力学 · 物理学 2013-09-11 Taisei Kaizoji

It has been widely observed that capitalization-weighted indexes can be beaten by surprisingly simple, systematic investment strategies. Indeed, in the U.S. stock market, equal-weighted portfolios, random-weighted portfolios, and other…

投资组合管理 · 定量金融 2018-09-12 Adrian Banner , Robert Fernholz , Vassilios Papathanakos , Johannes Ruf , David Schofield

We argue that an important contributing factor into market inefficiency is the lack of a robust mechanism for the stock price to rise if a company has good earnings, e.g., via buybacks/dividends. Instead, the stock price is prone to…

投资组合管理 · 定量金融 2015-11-05 Zura Kakushadze

The aim of this work is to introduce a new stochastic volatility model for equity derivatives. To overcome some of the well-known problems of the Heston model, and more generally of the affine models, we define a new specification for the…

证券定价 · 定量金融 2014-09-19 José Da Fonseca , Claude Martini

Inspired by the recent literature on aggregation theory, we aim at relating the long range correlation of the stocks return volatility to the heterogeneity of the investors' expectations about the level of the future volatility. Based on a…

统计金融 · 定量金融 2008-12-02 Jerome Coulon , Yannick Malevergne

The problem of non-stationarity in financial markets is discussed and related to the dynamic nature of price volatility. A new measure is proposed for estimation of the current asset volatility. A simple and illustrative explanation is…

统计金融 · 定量金融 2016-09-08 Sergey S. Stepanov

This note investigates the causes of the quality anomaly, which is one of the strongest and most scalable anomalies in equity markets. We explore two potential explanations. The "risk view", whereby investing in high quality firms is…

投资组合管理 · 定量金融 2016-01-19 Jean-Philippe Bouchaud , Stefano Ciliberti , Augustin Landier , Guillaume Simon , David Thesmar

We compare systematically several classes of stochastic volatility models of stock market fluctuations. We show that the long-time return distribution is either Gaussian or develops a power-law tail, while the short-time return distribution…

统计金融 · 定量金融 2010-09-15 Frantisek Slanina

This study utilised the dynamics of five time-varying models to estimate six essential features of financial return volatility that are relevant for robust risk management. These features include pronounced persistence, mean reversion,…

应用统计 · 统计学 2025-03-05 Richard T. A. Samuel , Charles Chimedza , Caston Sigauke

It is well known that the distribution of returns from various financial instruments are leptokurtic, meaning that the distributions have "fatter tails" than a Normal distribution, and have skew toward zero. This paper presents a graceful…

交易与市场微观结构 · 定量金融 2013-04-03 Ben Klemens

We propose a random walk model of asset returns where the parameters depend on market stress. Stress is measured by, e.g., the value of an implied volatility index. We show that model parameters including standard deviations and…

综合金融 · 定量金融 2016-05-11 Martin Gremm

Stock prices are known to exhibit non-Gaussian dynamics, and there is much interest in understanding the origin of this behavior. Here, we present a model that explains the shape and scaling of the distribution of intraday stock price…

统计金融 · 定量金融 2015-05-13 Austin Gerig , Javier Vicente , Miguel A. Fuentes

In retrospect, the experimental findings on competitive market behavior called for a revival of the old, classical, view of competition as a collective higgling and bargaining process (as opposed to price-taking behaviors) founded on…

综合金融 · 定量金融 2023-07-04 Sabiou Inoua , Vernon Smith

Fat tails in financial time series and increase of stocks cross-correlations in high volatility periods are puzzling facts that ask for new paradigms. Both points are of key importance in fundamental research as well as in Risk Management…

统计力学 · 物理学 2008-12-02 Marco Airoldi

We present an explicit hedging strategy, which enables to prove arbitrageness of market incorporating at least two assets depending on the same random factor. The implied Black-Scholes volatility, computed taking into account the form of…

证券定价 · 定量金融 2011-03-01 Mikhail Martynov , Olga Rozanova
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