Title
Recursive estimation for continuous time stochastic volatility models
Abstract
Volatility plays an important role in portfolio management and option pricing. Recently, there has been a growing interest in modeling volatility of the observed process by nonlinear stochastic process [S.J. Taylor, Asset Price Dynamics, Volatility, and Prediction, Princeton University Press, 2005; H. Kawakatsu, Specification and estimation of discrete time quadratic stochastic volatility models, Journal of Empirical Finance 14 (2007) 424–442]. In [H. Gong, A. Thavaneswaran, J. Singh, Filtering for some time series models by using transformation, Math Scientist 33 (2008) 141–147], we have studied the recursive estimates for discrete time stochastic volatility models driven by normal errors. In this paper, we study the recursive estimates for various classes of continuous time nonlinear non-Gaussian stochastic volatility models used for option pricing in finance.
Year
DOI
Venue
2009
10.1016/j.aml.2009.06.014
Applied Mathematics Letters
Keywords
Field
DocType
Recursive estimation,Stochastic volatility,Ito’s formula
Econometrics,Financial models with long-tailed distributions and volatility clustering,Implied volatility,Stochastic volatility,Heston model,SABR volatility model,Stochastic modelling,Volatility (finance),Mathematics,Constant elasticity of variance model
Journal
Volume
Issue
ISSN
22
11
0893-9659
Citations 
PageRank 
References 
2
0.40
0
Authors
2
Name
Order
Citations
PageRank
H. Gong120.40
A. Thavaneswaran213021.94