Article ID Journal Published Year Pages File Type
1140481 Mathematics and Computers in Simulation 2014 11 Pages PDF
Abstract

In this paper we propose to use Markov chain Monte Carlo methods to estimate the parameters of stochastic volatility models with several factors varying at different time scales. The originality of our approach, in contrast with classical factor models is the identification of two factors driving univariate series at well-separated time scales. This is tested with simulated data as well as foreign exchange data. Furthermore, we exploit the model calibration problem of implied volatility surface by postulating a computational scheme, which consists of McMC estimation and variance reduction techniques in MC/QMC simulations for option evaluation under multi-scale stochastic volatility models. Empirical studies and its extension are discussed.

Related Topics
Physical Sciences and Engineering Engineering Control and Systems Engineering
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