We propose bootstrap implementations of the asymptotic Wald, likelihood ratio and Lagrange multiplier tests for the order of integration of a fractionally integrated time series. Our main purpose in doing so is to develop tests which are robust to both conditional and unconditional...

We propose a State-Space Model (SSM) for commodity prices that combines the competitive storage model with a stochastic trend. This approach fits into the economic rationality of storage decisions and adds to previous deterministic trend specifications of the storage model. For a Bayesian...

In this paper, we propose a commodity pricing model that extends Gibson-Schwartz two-factor model to incorporate the effect of linear relations among commodity prices, which include co-integration under certain conditions. We derive futures and call option pricing formulae, and show that unlike...