# Parameter instability, stochastic volatility and estimation based on simulated likelihood: Evidence from the crude oil market

*Nima Nonejad*

*Economic Modelling*, 2017, vol. 61, issue C, pages 388-408

**Abstract:**
Stochastic volatility models with fixed parameters can be too restrictive for time-series analysis due to instability in the parameters that govern conditional volatility dynamics. We incorporate time-variation in the model parameters for the plain stochastic volatility model as well its extensions with: Leverage, volatility feedback effects and heavy-tailed distributed innovations. With regards to estimation, we rely on one recently discovered result, namely, that when an unbiasedly simulated estimated likelihood (available for example through a particle filter) is used inside a Metropolis-Hastings routine then the estimation error makes no difference to the equilibrium distribution of the algorithm, the posterior distribution. This in turn provides an off-the-shelf technique to estimate complex models. We examine the performance of this technique on simulated and crude oil returns from 1987 to 2016. We find that (i): There is clear evidence of time-variation in the model parameters, (ii): Time-varying parameter volatility models with leverage/Student's t-distributed innovations perform best, (iii): The timing of parameter changes align very well with events such as market turmoils and financial crises.

**Keywords:** Bayes; Crude oil; Metropolis-Hastings; Parameter instability; Particle filtering (search for similar items in EconPapers)

**JEL-codes:** C11 C22 C58 C63 (search for similar items in EconPapers)

**Date:** 2017

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**Persistent link:** http://EconPapers.repec.org/RePEc:eee:ecmode:v:61:y:2017:i:c:p:388-408

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