Title: Analyzing commodity futures using factor state-space models with Wishart stochastic volatility
Authors: Roman Liesenfeld - University of Cologne (Germany) [presenting]
Tore Selland Kleppe - University of Stavanger (Norway)
Guilherme Moura - Universidade Federal de Santa Catarina (Brazil)
Atle Oglend - University of Stavanger (Norway)
Abstract: A factor state-space approach with stochastic volatility is proposed to model and forecast the term structure of future contracts on commodities. The approach builds upon the dynamic 3-factor Nelson-Siegel model and its 4-factor Svensson extension and assumes for the latent level, slope and curvature factors a Gaussian vector autoregression with a multivariate Wishart stochastic volatility process. Exploiting the conjugacy of the Wishart and the Gaussian distribution, we develop a computationally fast and easy to implement MCMC algorithm for the Bayesian posterior analysis. An empirical application to daily prices for contracts on crude oil with stipulated delivery dates ranging from one to 24 months ahead show that the estimated 4-factor Svensson model with two curvature factors provides a good parsimonious representation of the serial correlation in the individual prices and their volatility. It also shows that this model has a good out-of-sample forecast performance.