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A common belief is that leveraged ETFs (LETFs) suffer long-term performance decay due to \emph{volatility drag}. We show that this view is incomplete: LETF performance depends fundamentally on return autocorrelation and return dynamics. In…

统计金融 · 定量金融 2025-04-30 Chung-Han Hsieh , Jow-Ran Chang , Hui Hsiang Chen

Previous research has shown that for stock indices, the most likely time until a return of a particular size has been observed is longer for gains than for losses. We establish that this so-called gain/loss asymmetry is present also for…

统计金融 · 定量金融 2009-11-25 Johannes Vitalis Siven , Jeffrey Todd Lins

We introduce a class of randomly time-changed fast mean-reverting stochastic volatility models and, using spectral theory and singular perturbation techniques, we derive an approximation for the prices of European options in this setting.…

证券定价 · 定量金融 2012-05-15 Matthew Lorig

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…

计量经济学 · 经济学 2021-09-16 Yuta Yamauchi , Yasuhiro Omori

We present a simple agent-based model of a financial system composed of leveraged investors such as banks that invest in stocks and manage their risk using a Value-at-Risk constraint, based on historical observations of asset prices. The…

经济学 · 定量金融 2014-08-19 Christoph Aymanns , J. Doyne Farmer

We propose a stochastic volatility model for time series of curves. It is motivated by dynamics of intraday price curves that exhibit both between days dependence and intraday price evolution. The curves are suitably normalized to…

统计方法学 · 统计学 2023-05-09 Piotr Kokoszka , Neda Mohammadi , Haonan Wang , Shixuan Wang

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…

统计金融 · 定量金融 2013-01-29 Pierre-Alain Reigneron , Romain Allez , Jean-Philippe Bouchaud

We present a time-dependent Langevin description of dynamics of stock prices. Based on a simple sliding-window algorithm, the fluctuation of stock prices is discussed in the view of a time-dependent linear restoring force which is the…

物理与社会 · 物理学 2008-12-02 Zi-Gang Huang , Yong Chen , Yong Zhang , Ying-Hai Wang

The gain-loss asymmetry, observed in the inverse statistics of stock indices is present for logarithmic return levels that are over $2\%$, and it is the result of the non-Pearson type auto-correlations in the index. These non-Pearson type…

统计金融 · 定量金融 2016-08-24 Bulcsú Sándor , Ingve Simonsen , Bálint Zsolt Nagy , Zoltán Néda

Mounting empirical evidence suggests that the observed extreme prices within a trading period can provide valuable information about the volatility of the process within that period. In this paper we define a class of stochastic volatility…

统计金融 · 定量金融 2009-01-12 Abel Rodriguez , Henryk Gzyl , German Molina , Enrique ter Horst

We tackle the calibration of the so-called Stochastic-Local Volatility (SLV) model. This is the class of financial models that combines the local and stochastic volatility features and has been subject of the attention by many researchers…

计算金融 · 定量金融 2017-11-09 Yuri F. Saporito , Xu Yang , Jorge P. Zubelli

For quantitative trading risk management purposes, we present a novel idea: the realized local volatility surface. Concisely, it stands for the conditional expected volatility when sudden market behaviors of the underlying occur. One is…

风险管理 · 定量金融 2025-05-01 Yuming Ma , Shintaro Sengoku , Kazuhide Nakata

Dynamic jumps in the price and volatility of an asset are modelled using a joint Hawkes process in conjunction with a bivariate jump diffusion. A state space representation is used to link observed returns, plus nonparametric measures of…

应用统计 · 统计学 2016-03-10 Worapree Maneesoonthorn , Catherine S. Forbes , Gael M. Martin

The availability of data on economic uncertainty sparked a lot of interest in models that can timely quantify episodes of international spillovers of uncertainty. This challenging task involves trading off estimation accuracy for more…

综合经济学 · 经济学 2023-02-07 Niels Gillmann , Ostap Okhrin

The paper analyzes the cryptocurrency ecosystem at both the aggregate and individual levels to understand the factors that impact future volatility. The study uses high-frequency panel data from 2020 to 2022 to examine the relationship…

统计金融 · 定量金融 2024-04-09 Alessio Brini , Jimmie Lenz

This paper offers a new approach to modeling and forecasting of nonstationary time series with applications to volatility modeling for financial data. The approach is based on the assumption of local homogeneity: for every time point, there…

统计理论 · 数学 2009-06-10 Vladimir Spokoiny

In an efficient stock market, the log-returns and their time-dependent variances are often jointly modelled by stochastic volatility models (SVMs). Many SVMs assume that errors in log-return and latent volatility process are uncorrelated,…

统计方法学 · 统计学 2016-05-10 Sujay Mukhoti , Pritam Ranjan

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.…

统计金融 · 定量金融 2015-02-03 Ladislav Kristoufek

We study the relation between serial correlation of financial returns and volatility at intraday level for the S&P500 stock index. At daily and weekly level, serial correlation and volatility are known to be negatively correlated (LeBaron…

统计金融 · 定量金融 2008-12-02 Simone Bianco , Fulvio Corsi , Roberto Reno'

This paper introduces novel volatility diffusion models to account for the stylized facts of high-frequency financial data such as volatility clustering, intra-day U-shape, and leverage effect. For example, the daily integrated volatility…

统计方法学 · 统计学 2022-06-01 Donggyu Kim , Minseok Shin