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Title:Continuous time regime switching models and applications in estimating processes with stochastic volatility and jumps PDF Logo
Authors:Chourdakis, Kyriakos
Issue Date:2002
Series/Report no.:Working Paper, Department of Economics, Queen Mary, University of London 464
Abstract:A regime switching model in continuous time is introduced where a variety of jumps are allowed in addition to the diffusive component. The characteristic function of the process is derived in closed form, and is subsequently employed to create the likelihood function. In addition, standard results of the option pricing literature can be employed in order to compute derivative prices. To this end, the relationship between the physical and the risk adjusted probability measure is explored. The generic relationship between Markov chains and [jump] diffusions is also investigated, and it is shown that virtually any stochastic volatility model model can be approximated arbitrarily well by a carefully chosen continuous time Markov chain. Therefore, the approach presented here can be utilized in order to estimate, filter and carry out option pricing for such continuous state-space models, without the need for simulation based approximations. An empirical example illustrates these contributions of the paper, estimating a stochastic volatility jump diffusion model.
Subjects:Continuous time regime switching, Stochastic volatility jump diffusion, Option pricing, Filtering
JEL:G10
G13
C22
Document Type:Working Paper
Appears in Collections:Working Paper Series, School of Economics and Finance, Queen Mary, University of London

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