Search results for "Financial models with long-tailed distributions and volatility clustering"

showing 4 items of 4 documents

Univariate and multivariate statistical aspects of equity volatility

2004

We discuss univariate and multivariate statistical properties of volatility time series of equities traded in a financial market. Specifically, (i) we introduce a two-region stochastic volatility model able to well describe the unconditional pdf of volatility in a wide range of values and (ii) we quantify the stability of the results of a correlation-based clustering procedure applied to synchronous time evolution of a set of volatility time series.

Stochastic volatilityFinancial models with long-tailed distributions and volatility clusteringVolatility smileUnivariateEconometricsForward volatilityEconomicsVolatility (finance)Implied volatilitySettore FIS/07 - Fisica Applicata(Beni Culturali Ambientali Biol.e Medicin)volatility financial markets econophysics log range correlated processes stochastic processesHeston model
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Empirical Study on the Relationship between the Cross-Correlation among Stocks and the Stocks' Volatility Clustering

2013

In this paper we discuss univariate and multivariate statistical properties of volatility with the aim of understanding how these two aspects are interrelated. Specifically, we focus on the relationship between the cross-correlation among stock's volatilities and the volatility clustering. Volatility clustering is related to the memory property of the volatility time-series and therefore to its predictability. Our results show that there exists a relationship between the level of predictability of any volatility time-series and the amount of its inter-dependence with other assets. In all considered cases, the more the asset is linked to other assets, the more its volatility keeps memory of …

financial instruments and regulation socio-economic networks stochastic processes clustering techniquesVolatility clusteringStochastic volatilityFinancial models with long-tailed distributions and volatility clusteringVolatility swapForward volatilityEconometricsVolatility smileEconomicsImplied volatilityVolatility risk premiumSettore FIS/07 - Fisica Applicata(Beni Culturali Ambientali Biol.e Medicin)SSRN Electronic Journal
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Volatility Transmission Models: A Survey

2005

This study reviews the literature on volatility transmission in order to determine what we have learnt about the different methodologies applied. In particular, GARCH, regime switching and stochastic volatility models are analysed. In addition, this study covers several concrete aspects such as their scope of application, the overlapping problem, the concept of efficiency and asymmetry modelling. Finally, emerging topics and unanswered questions are identified, serving as an agenda for future research.

Scope (project management)Stochastic volatilityOrder (exchange)Financial economicsFinancial models with long-tailed distributions and volatility clusteringAutoregressive conditional heteroskedasticityVolatility swapVolatility smileEconometricsEconomicsImplied volatilitySSRN Electronic Journal
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Understanding the determinants of volatility clustering in terms of stationary Markovian processes

2016

Abstract Volatility is a key variable in the modeling of financial markets. The most striking feature of volatility is that it is a long-range correlated stochastic variable, i.e. its autocorrelation function decays like a power-law τ − β for large time lags. In the present work we investigate the determinants of such feature, starting from the empirical observation that the exponent β of a certain stock’s volatility is a linear function of the average correlation of such stock’s volatility with all other volatilities. We propose a simple approach consisting in diagonalizing the cross-correlation matrix of volatilities and investigating whether or not the diagonalized volatilities still kee…

Statistics and ProbabilityVolatility clusteringVolatility Econophysics Long-range correlation Stochastic processes First passage timeStochastic volatilityProbability density functionCondensed Matter PhysicsSABR volatility model01 natural sciencesSettore FIS/07 - Fisica Applicata(Beni Culturali Ambientali Biol.e Medicin)010305 fluids & plasmasHeston modelFinancial models with long-tailed distributions and volatility clustering0103 physical sciencesForward volatilityEconometricsVolatility (finance)010306 general physicsMathematics
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