Title of article :
Oil Price Estimating Under Dynamic Economic Models Using Markov Chain Monte Carlo Simulation Approach
Author/Authors :
Fathi Vajarga, Kianoush Department of Statistics - North Branch - Islamic Azad University - Tehran, Iran , Eslami Mofid Abadi, Hossein Department of Accounting & Management - Shahryar Branch - Islamic Azad University - Shahryar, Iran , Abbasi, Ebrahim Faculty of Social Sciences & Economics - Alzahra University - Tehran, Iran
Abstract :
This study, attempts to estimate and compare four different models of jumpdiffusion
class combined with stochastic volatility that are based on stochastic
differential equations, and their parameters latent variables are estimated by Markov
chain Monte Carlo (MCMC) methods. In the Stochastic Volatility with Correlated
Jumps (SVCJ) model, volatilities are scholastic, and the term jump is added
to both scholastic prices and volatilities. The results of this study showed that this
model is more efficient than the others are, as it provides a significantly better fit
to the data, and therefore, corrects the shortcomings of the previous models and
that it is closer to the actual market prices. Therefore, our estimating model under
the Monte Carlo simulation allows an analysis on oil prices during certain times in
the periods of tension and shock in the oil market.
Keywords :
Oil Prices , Stochastic Volatility , Jump-Diffusion Process , Markov chain Monte Carlo , Simulation
Journal title :
Advances in Mathematical Finance and Applications