The prices of derivatives contracts can be used to estimate ‘risk-neutral' probability density functions that give an indication of the weight investors place on different future prices of their underlying assets, were they risk-neutral. In the likely case that investors are risk-averse, this...

We derive a general joint affine term structure model of US government bond yields and the convenience yields on physical commodities. We apply this framework separately to oil and gold. Our results show clear links between bond and commodity markets, since bond factors play a significant role...

​We develop and estimate a multifactor affine model of commodity futures that allows for stochastic variations in seasonality. We show conditions under which the yield curve and the cost-of-carry curve adopt augmented Nelson and Siegel functional forms. This restricted version of the model is...