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Semi-Closed Form Cubature and Applications to Financial Diffusion Models
Semi-Closed Cubature Applications Financial Diffusion Models
2010/10/21
Cubature methods, a powerful alternative to Monte Carlo due to Kusuoka~[Adv.~Math.~Econ.~6, 69--83, 2004] and Lyons--Victoir~[Proc.~R.~Soc.\\Lond.~Ser.~A 460, 169--198, 2004], involve the solution to...
Levy Random Bridges and the Modelling of Financial Information
Levy Random Bridges Modelling of Financial Information
2010/11/3
The information-based asset-pricing framework of Brody, Hughston and Mac-rina (BHM) is extended to include a wider class of models for market information.In the BHM framework, each asset is associated...
Diagnosis and Prediction of Market Rebounds in Financial Markets
negative bubble rebound positive feedback pattern recognition trading strategy error diagram prediction Bayesian methods financial markets price forecasting
2010/4/27
We introduce the concept of "negative bubbles" as the mirror image of standard financial bubbles, in which positive feedback mechanisms may lead to transient accelerating price falls. To model these n...
Cross-Correlation Dynamics in Financial Time Series
Cross-Correlation Dynamics Financial Time Series
2010/10/18
The dynamics of the equal-time cross-correlation matrix of multivariate financial time series is explored by examination of the eigenvalue spectrum over sliding time windows. Empirical results for the...
Asset returns and volatility clustering in financial time series
Asset returns volatility clustering financial time series
2010/10/18
An analysis of the stylized facts in financial time series is carried out. We find that, instead of the heavy tails in asset return distributions, the slow decay behaviour in autocorrelation function...
Atoms and molecules are important conceptual entities we invented to understand the physical world around us. The key to their usefulness lies in the organization of nuclear and electronic degrees of ...
Financial Applications of Random Matrix Theory: a short review
Financial Applications Random Matrix Theory short review
2010/11/2
The Marˇcenko-Pastur 1967 paper [1] on the spectrum of empirical correlation matrices is both remarkable and precocious. It turned out to be useful in many, very different contexts (neural networks, i...
Recurrence interval analysis of high-frequency financial returns and its application to risk estimation
Recurrence interval analysis of high-frequency financial risk estimation
2010/11/2
We investigate the probability distributions of the recurrence intervals between consecutive 1-min returns above a positive threshold q > 0 or below a negative threshold
q < 0 of two indices and 20...
We analytically present the financial rogue waves in the nonlinear option pricing model due to Ivancevic, which is nonlinear wave alternative of the Black-Scholes model. These rogue wave solutions may...