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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

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

This study examines the disposition effect in both long and short exposure positions in FTSE MIB tracking ETFs using a unique dataset of almost 9 million individual transactions. Building on the integrated framing approach, we extend the…

Risk Management · Quantitative Finance 2026-05-04 Lorenzo Mazzucchelli , Marco Zanotti , Luca Vincenzo Ballestra , Andrea Guizzardi

Excessive leverage, i.e. the abuse of debt financing, is considered one of the primary factors in the default of financial institutions. Systemic risk results from correlations between individual default probabilities that cannot be…

Risk Management · Quantitative Finance 2013-03-25 Paolo Tasca , Pavlin Mavrodiev , Frank Schweitzer

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

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

The intricate behavior patterns of financial markets are influenced by fundamental, technical, and psychological factors. During times of high volatility and regime shifts causes many traditional strategies like trend-following or…

Computational Finance · Quantitative Finance 2026-01-28 Varun Narayan Kannan Pillai , Akshay Ajith , Sumesh K J

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

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

Federated Learning has emerged as a transformative paradigm for collaborative machine learning across distributed environments. However, its performance is strongly influenced by the aggregation strategy used to combine local model updates…

Machine Learning · Computer Science 2026-05-13 Antonios Makris , Christos Dousis , Emmanouil Kritharakis , Stavros Bouras , Konstantinos Tserpes

Lead/lag relationships are an important stylized fact at high frequency. Some assets follow the path of others with a small time lag. We provide indicators to measure this phenomenon using tick-by-tick data. Strongly asymmetric…

Trading and Market Microstructure · Quantitative Finance 2012-01-19 Nicolas Huth , Frédéric Abergel

Daily ETF risk monitoring can become unreliable when market data quality degrades, market conditions shift, or predictive performance becomes unstable. This paper develops a reliability-aware risk monitoring service for next-day tail-risk…

Risk Management · Quantitative Finance 2026-04-20 Tenghan Zhong , Keyuan Wu

According to the leading models in modern finance, the presence of intraday lead-lag relationships between financial assets is negligible in efficient markets. With the advance of technology, however, markets have become more sophisticated.…

Statistical Finance · Quantitative Finance 2014-01-03 Chester Curme , Michele Tumminello , Rosario N. Mantegna , H. Eugene Stanley , Dror Y. Kenett

Purpose: This study introduces a novel framework for identifying and exploiting predictive lead-lag relationships in financial markets. We propose an integrated approach that combines advanced statistical methodologies with machine learning…

Statistical Finance · Quantitative Finance 2025-07-15 Ivan Letteri

A new methodology has been introduced to clean the correlation matrix of single stocks returns based on a constrained principal component analysis using financial data. Portfolios were introduced, namely "Fundamental Maximum Variance…

Portfolio Management · Quantitative Finance 2020-01-27 Sebastien Valeyre

Systemic financial risk refers to the simultaneous failure or destabilization of multiple financial institutions, often triggered by contagion mechanisms or common exposures to shocks. In this paper, we present a dynamical model of bank…

Dynamical Systems · Mathematics 2026-03-31 Marco Ioffredi , Stefano Marmi , Matteo Tanzi

We define data-driven macroeconomic regimes by clustering the relative performance in time of indices belonging to different asset classes. We then investigate lead-lag relationships within the regimes identified. Our study unravels market…

Mathematical Finance · Quantitative Finance 2022-09-05 Deborah Miori , Mihai Cucuringu

Federated Learning (FL) is a distributed learning approach that trains machine learning models across multiple devices while keeping their local data private. However, FL often faces challenges due to data heterogeneity, leading to…

Machine Learning · Computer Science 2025-10-21 Dun Zeng , Zheshun Wu , Shiyu Liu , Yu Pan , Xiaoying Tang , Zenglin Xu

Generalization performance is a key metric in evaluating machine learning models when applied to real-world applications. Good generalization indicates the model can predict unseen data correctly when trained under a limited number of data.…

Machine Learning · Computer Science 2023-06-07 Zhenyu Sun , Xiaochun Niu , Ermin Wei

Many financial and economic variables, including financial returns, exhibit nonlinear dependence, heterogeneity and heavy-tailedness. These properties may make problematic the analysis of (non-)efficiency and volatility clustering in…

Econometrics · Economics 2023-12-01 Rustam Ibragimov , Rasmus Pedersen , Anton Skrobotov