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Related papers: Volatility Forecasts Using Nonlinear Leverage Effe…

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The leverage effect refers to the well-established relationship between returns and volatility. When returns fall, volatility increases. We examine the role of the leverage effect with regards to generating density forecasts of equity…

Applications · Statistics 2016-11-04 Leopoldo Catania , Nima Nonejad

We propose model-free (nonparametric) estimators of the volatility of volatility and leverage effect using high-frequency observations of short-dated options. At each point in time, we integrate available options into estimates of the…

Econometrics · Economics 2024-01-24 Carsten H. Chong , Viktor Todorov

We investigate quantitatively the so-called leverage effect, which corresponds to a negative correlation between past returns and future volatility. For individual stocks, this correlation is moderate and decays exponentially over 50 days,…

Condensed Matter · Physics 2007-05-23 Jean-Philippe Bouchaud , Andrew Matacz , Marc Potters

The stochastic leverage effect, defined as the standardized covariation between the returns and their related volatility, is analyzed in a stochastic volatility model set-up. A novel estimator of the effect is defined using a pre-estimation…

Statistical Finance · Quantitative Finance 2021-03-09 Imma Valentina Curato , Simona Sanfelici

We study the estimation of leverage effect and volatility of volatility by using high-frequency data with the presence of jumps. We first construct spot volatility estimator by using the empirical characteristic function of the…

Methodology · Statistics 2026-03-03 Qiang Liu , Zhi Liu , Wang Zhou

We propose a new volatility model based on two stylized facts of the volatility in the stock market: clustering and leverage effect. We calibrate our model parameters, in the leading order, with 77 years Dow Jones Industrial Average data.…

Statistical Finance · Quantitative Finance 2015-12-08 Xin Li , Carlos F. Tolmasky

An extensive empirical literature documents a generally negative correlation, named the "leverage effect," between asset returns and changes of volatility. It is more challenging to establish such a return-volatility relationship for jumps…

Statistics Theory · Mathematics 2017-12-11 Markus Bibinger , Christopher Neely , Lars Winkelmann

We propose a comprehensive treatment of the leverage effect, i.e. the relationship between returns and volatility of a specific asset, focusing on energy commodities futures, namely Brent and WTI crude oils, natural gas and heating oil.…

Statistical Finance · Quantitative Finance 2015-02-03 Ladislav Kristoufek

We prove that a wide class of correlated stochastic volatility models exactly measure an empirical fact in which past returns are anticorrelated with future volatilities: the so-called ``leverage effect''. This quantitative measure allows…

Statistical Mechanics · Physics 2008-12-02 Josep Perello , Jaume Masoliver

This study presents contemporaneous modeling of asset return and price range within the framework of stochastic volatility with leverage. A new representation of the probability density function for the price range is provided, and its…

Computation · Statistics 2021-10-28 Yuta Kurose

This paper tests whether graph neural networks improve realized volatility forecasts and whether those forecasts improve portfolio performance. Using weekly realized volatility for 465 S&P 500 equities from 2015-2025, Heterogeneous…

Portfolio Management · Quantitative Finance 2026-05-21 Rylan Wade

The leverage effect refers to the generally negative correlation between the return of an asset and the changes in its volatility. There is broad agreement in the literature that the effect should be present for theoretical reasons, and it…

Mathematical Finance · Quantitative Finance 2019-09-25 Dangxing Chen

We model leverage as stochastic but independent of return shocks and of volatility and perform likelihood-based inference via the recently developed iterated filtering algorithm using S&P500 data, contributing new evidence to the still slim…

General Finance · Quantitative Finance 2018-01-16 Carles Bretó

We present a new volatility model, simple to implement, that includes a leverage effect whose return-volatility correlation function fits to empirical observations. This model is able to capture both the "retarded effect" induced by the…

Statistical Finance · Quantitative Finance 2020-01-03 Sebastien Valeyre , Denis Grebenkov , Sofiane Aboura , Qian Liu

We revisit the index leverage effect, that can be decomposed into a volatility effect and a correlation effect. We investigate the latter using a matrix regression analysis, that we call `Principal Regression Analysis' (PRA) and for which…

Statistical Finance · Quantitative Finance 2013-01-29 Pierre-Alain Reigneron , Romain Allez , Jean-Philippe Bouchaud

In financial markets, low prices are generally associated with high volatilities and vice-versa, this well known stylized fact usually being referred to as leverage effect. We propose a local volatility model, given by a stochastic…

Computational Finance · Quantitative Finance 2019-02-25 Antoine Lejay , Paolo Pigato

This paper addresses the long-standing challenge of estimating the leverage effect from high-frequency data contaminated by dependent, non-Gaussian microstructure noise. We depart from the conventional reliance on pre-averaging or…

Methodology · Statistics 2026-02-11 Ziyang Xiong , Zhao Chen , Christina Dan Wang

Multivariate stochastic volatility models with skew distributions are proposed. Exploiting Cholesky stochastic volatility modeling, univariate stochastic volatility processes with leverage effect and generalized hyperbolic skew…

Methodology · Statistics 2012-12-21 Jouchi Nakajima

This study investigates the impacts of asymmetry on the modeling and forecasting of realized volatility in the Japanese futures and spot stock markets. We employ heterogeneous autoregressive (HAR) models allowing for three types of…

Statistical Finance · Quantitative Finance 2020-06-02 Daiki Maki , Yasushi Ota

The autocorrelation function of volatility in financial time series is fitted well by a superposition of several exponents. Such a case admits an explicit analytical solution of the problem of constructing the best linear forecast of a…

Statistical Mechanics · Physics 2009-11-10 M. I. Krivoruchenko
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