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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 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

Background: For complex financial systems, the negative and positive return-volatility correlations, i.e., the so-called leverage and anti-leverage effects, are particularly important for the understanding of the price dynamics. However,…

Statistical Finance · Quantitative Finance 2014-07-22 Jun-jie Chen , Bo Zheng , Lei Tan

We consider models of financial markets in which all parties involved find incentives to participate. Strategies are evaluated directly by their virtual wealths. By tuning the price sensitivity and market impact, a phase diagram with…

Trading and Market Microstructure · Quantitative Finance 2009-11-13 C. H. Yeung , K. Y. Michael Wong , Y. -C. Zhang

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

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

In this paper we study the quality of model-free valuation approaches for financial derivatives by systematically evaluating the difference between model-free super-hedging strategies and the realized payoff of financial derivatives using…

Pricing of Securities · Quantitative Finance 2026-02-18 Zixing Chen , Yihan Qi , Shanlan Que , Julian Sester , Xiao Zhang

We study the capability of arbitrage-free neural-SDE market models to yield effective strategies for hedging options. In particular, we derive sensitivity-based and minimum-variance-based hedging strategies using these models and examine…

Computational Finance · Quantitative Finance 2022-06-01 Samuel N. Cohen , Christoph Reisinger , Sheng Wang

The cryptocurrency market is volatile, non-stationary and non-continuous. Together with liquid derivatives markets, this poses a unique opportunity to study risk management, especially the hedging of options, in a turbulent market. We study…

Pricing of Securities · Quantitative Finance 2022-12-05 Jovanka Lili Matic , Natalie Packham , Wolfgang Karl Härdle

In this paper, we build on using the class of f-divergence induced coherent risk measures for portfolio optimization and derive its necessary optimality conditions formulated in CAPM format. We derive a new f-Beta similar to the Standard…

Portfolio Management · Quantitative Finance 2023-05-15 Rui Ding

Decisions taken in our everyday lives are based on a wide variety of information so it is generally very difficult to assess what are the strategies that guide us. Stock market therefore provides a rich environment to study how people take…

General Finance · Quantitative Finance 2016-09-28 Mario Gutiérrez-Roig , Carlota Segura , Jordi Duch , Josep Perelló

Hierarchical data with multiple observations per group is ubiquitous in empirical sciences and is often analyzed using mixed-effects regression. In such models, Bayesian inference gives an estimate of uncertainty but is analytically…

Machine Learning · Computer Science 2026-02-05 Alex Kipnis , Marcel Binz , Eric Schulz

In the stochastic volatility models for multivariate daily stock returns, it has been found that the estimates of parameters become unstable as the dimension of returns increases. To solve this problem, we focus on the factor structure of…

Econometrics · Economics 2021-09-16 Yuta Yamauchi , Yasuhiro Omori

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…

Statistical Finance · Quantitative Finance 2008-12-02 Jerome Coulon , Yannick Malevergne

This paper develops a flexible and computationally efficient multivariate volatility model, which allows for dynamic conditional correlations and volatility spillover effects among financial assets. The new model has desirable properties…

Methodology · Statistics 2025-07-25 Wenyu Li , Yuchang Lin , Qianqian Zhu , Guodong Li

This paper uses the development of multi-agent market models to present a unified approach to the joint questions of how financial market movements may be simulated, predicted, and hedged against. We examine the effect of different market…

Condensed Matter · Physics 2009-10-31 P. Jefferies , M. L. Hart , P. M. Hui , N. F. Johnson

The debate between active and passive investment strategies has been ongoing for many years and is far from being over. In this paper, we show that the choice of an optimal portfolio management strategy depends on an investment climate,…

Portfolio Management · Quantitative Finance 2023-02-06 Jarosław Gruszka , Janusz Szwabiński

Text moderation for user generated content, which helps to promote healthy interaction among users, has been widely studied and many machine learning models have been proposed. In this work, we explore an alternative perspective by…

Computation and Language · Computer Science 2021-09-21 Fei Tan , Yifan Hu , Kevin Yen , Changwei Hu

The dynamic hedging theory only makes sense in the setup of one given model, whereas the practice of dynamic hedging is just the opposite, with models fleeing after the data through daily recalibration. This is quite of a quantitative…

Risk Management · Quantitative Finance 2026-01-06 Cyril Bénézet , Stéphane Crépey , Dounia Essaket

Beta regression models are a suitable choice for continuous response variables on the unity interval. Random effects add further flexibility to the models and accommodate data structures such as hierarchical, repeated measures and…

Applications · Statistics 2017-04-25 Wagner H. Bonat , Paulo J. Ribeiro , Walmes Marque Zeviani