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Two-dimensional Hull-White model for stochastic volatility and its nonlinear filtering estimation
Author(s) -
Budhi Surya
Publication year - 2011
Publication title -
procedia computer science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.334
H-Index - 76
ISSN - 1877-0509
DOI - 10.1016/j.procs.2011.04.154
Subject(s) - computer science , hull , nonlinear system , volatility (finance) , stochastic volatility , estimation , algorithm , mathematical optimization , econometrics , mathematics , geology , physics , management , quantum mechanics , economics , oceanography
This paper presents an extension of the Hull-White model for stochastic volatility. It considers a two-dimensional case where returns of two assets are correlated. The main objective is to estimate the volatility of each asset online given the observation of the returns of the asset prices, taking account the correlation between the asset prices. We propose recursive filtering equations derived from the results of Jazwinski [8] and Maybeck [12] for the estimation

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