Estimating Correlated Jumps and Stochastic Volatilities

Jiří Witzany

Prague Economic Papers, 2013, vol. 2013, issue 2, 251-283

Abstract: We formulate a bivariate stochastic volatility jump-diffusion model with correlated jumps and volatilities. An MCMC Metropolis-Hastings sampling algorithm is proposed to estimate the model's parameters and latent state variables (jumps and stochastic volatilities) given observed returns. The methodology is successfully tested on several artificially generated bivariate time series and then on the two most important Czech domestic financial market time series of the FX (CZK/EUR) and stock (PX index) returns. Four bivariate models with and without jumps and/or stochastic volatility are compared using the deviance information criterion (DIC) confirming importance of incorporation of jumps and stochastic volatility into the model.

Keywords: value at risk; jump-diffusion; stochastic volatility; MCMC; Monte Carlo (search for similar items in EconPapers)
JEL-codes: C11 C15 G1 (search for similar items in EconPapers)
Date: 2013
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Citations: View citations in EconPapers (5)

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Related works:
Working Paper: Estimating Correlated Jumps and Stochastic Volatilities (2011)
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DOI: 10.18267/j.pep.451

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