Detail publikace

Estimating Correlated Jumps and Stochastic Volatilities

Autor: RNDr. Jiří Witzany Ph.D.,
Typ: IES Working Papers
Rok: 2011
Číslo: 35
ISSN / ISBN:
Publikováno v: IES Working Papers 35/2011
Místo vydání: Prague
Klíčová slova: jump-diffusion, stochastic volatility, MCMC, Value at Risk, Monte Carlo
JEL kódy: C11, C15, G1
Citace: Witzany, J. (2011). “Estimating Correlated Jumps and Stochastic Volatilities ” IES Working Paper 35/2011. IES FSV. Charles University.
Abstrakt: 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.
Ke stažení: WP 2011_35_Witzany

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