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Agents' heterogeneity is recognized as a driver mechanism for the persistence of financial volatility. We focus on the multiplicity of investment strategies' horizons, we embed this concept in a continuous time stochastic volatility…

Statistical Finance · Quantitative Finance 2013-04-04 Danilo Delpini , Giacomo Bormetti

The correlated stochastic volatility models constitute a natural extension of the Black and Scholes-Merton framework: here the volatility is not a constant, but a stochastic process correlated with the price log-return one. At present,…

Statistical Finance · Quantitative Finance 2008-12-02 E. Cisana , L. Fermi , G. Montagna , O. Nicrosini

We derive a small-time expansion for out-of-the-money call options under an exponential Levy model, using the small-time expansion for the distribution function given in Figueroa-Lopez & Houdre (2009), combined with a change of num\'eraire…

Pricing of Securities · Quantitative Finance 2011-12-15 Jose E. Figueroa-Lopez , Martin Forde

In the current literature, the analytical tractability of discrete time option pricing models is guaranteed only for rather specific types of models and pricing kernels. We propose a very general and fully analytical option pricing…

Pricing of Securities · Quantitative Finance 2014-04-15 Adam Aleksander Majewski , Giacomo Bormetti , Fulvio Corsi

This paper presents a methodology to introduce time-dependent parameters for a wide family of models preserving their analytic tractability. This family includes hybrid models with stochastic volatility, stochastic interest-rates, jumps and…

Pricing of Securities · Quantitative Finance 2008-12-02 A. Elices

We present a framework for describing the evolution of stochastic observables having a non-stationary distribution of values. The framework is applied to empirical volume-prices from assets traded at the New York stock exchange. Using…

Statistical Finance · Quantitative Finance 2016-05-18 Paulo Rocha , Frank Raischel , João P. Boto , Pedro G. Lind

We propose a stochastic process for stock movements that, with just one source of Brownian noise, has an instantaneous volatility that rises from a type of statistical feedback across many time scales. This results in a stationary…

Other Condensed Matter · Physics 2008-12-02 Lisa Borland

We consider a class of asset pricing models, where the risk-neutral joint process of log-price and its stochastic variance is an affine process in the sense of Duffie, Filipovic and Schachermayer [2003]. First we obtain conditions for the…

Pricing of Securities · Quantitative Finance 2008-12-02 Martin Keller-Ressel

Due to the increasing popularity of futures trading among financial market participants, the risk management of these instruments is crucial. In this paper, we introduce a model for estimating the ideal time for leaving a trading position…

Probability · Mathematics 2024-10-30 Kiarash Firouzi , Mohammad Jelodari Mamaghani

In the Vasicek credit portfolio model, tail risk is driven primarily by the asset-correlation parameter, yet empirically is subject to correlation risk. We propose a stochastic correlation extension of the Vasicek framework in which the…

Risk Management · Quantitative Finance 2026-03-06 Dhruv Bansal , Mayank Goud , Sourav Majumdar

The aim of this paper is to describe a new an integrated methodology for project control under uncertainty. This proposal is based on Earned Value Methodology and risk analysis and presents several refinements to previous methodologies.…

Risk Management · Quantitative Finance 2024-06-06 Fernando Acebes , M Pereda , David Poza , Javier Pajares , Jose M Galan

The accurate estimation of scaling exponents is central in the observational study of scale-invariant phenomena. Natural systems unavoidably provide observations over restricted intervals; consequently a stationary stochastic process (time…

Data Analysis, Statistics and Probability · Physics 2009-03-17 K. H. Kiyani , S. C. Chapman , N. W. Watkins

We construct an equilibrium for the continuous time Kyle's model with stochastic liquidity, a general distribution of the fundamental price, and correlated stock and volatility dynamics. For distributions with positive support, our…

Trading and Market Microstructure · Quantitative Finance 2022-04-26 Ibrahim Ekren , Brad Mostowski , Gordan Žitković

Scenario generation is the construction of a discrete random vector to represent parameters of uncertain values in a stochastic program. Most approaches to scenario generation are distribution-driven, that is, they attempt to construct a…

Optimization and Control · Mathematics 2021-05-21 Jamie Fairbrother , Amanda Turner , Stein Wallace

This paper expands traditional stochastic volatility models by allowing for time-varying skewness without imposing it. While dynamic asymmetry may capture the likely direction of future asset returns, it comes at the risk of leading to…

Econometrics · Economics 2023-12-04 Igor Ferreira Batista Martins , Hedibert Freitas Lopes

Expectile, as the minimizer of an asymmetric quadratic loss function, is a coherent risk measure and is helpful to use more information about the distribution of the considered risk. In this paper, we propose a new risk measure by replacing…

Methodology · Statistics 2023-10-31 Qian Xiong , Zuoxiang Peng

This paper develops a Bayesian framework for the realized exponential generalized autoregressive conditional heteroskedasticity (realized EGARCH) model, which can incorporate multiple realized volatility measures for the modelling of a…

Risk Management · Quantitative Finance 2020-08-25 Vica Tendenan , Richard Gerlach , Chao Wang

We use the P&L on a particular class of swaps, representing variance and higher moments for log returns, as estimators in our empirical study on the S&P500 that investigates the factors determining variance and higher-moment risk premia.…

Pricing of Securities · Quantitative Finance 2016-02-03 Johannes Rauch , Carol Alexander

The quantitative analysis of financial time series often reveals two distinct features that standard Gaussian frameworks fail to capture: heavy-tailed marginal distributions and the phenomenon of extreme co-movements.While extreme value…

Statistics Theory · Mathematics 2026-05-14 Debanjana Datta , Diganta Mukherjee

This paper proposes methods for Bayesian inference in time-varying parameter (TVP) quantile regression (QR) models featuring conditional heteroskedasticity. I use data augmentation schemes to render the model conditionally Gaussian and…

Econometrics · Economics 2021-10-19 Michael Pfarrhofer