On the Stochastic Properties of Carbon Futures Prices

Pricing carbon is a central concern in environmental economics, due to the worldwide importance of emissions trading schemes to regulate pollution. This paper documents the presence of small and large jumps in the stochastic process of the CO<InlineEquation ID="IEq1"> <EquationSource Format="TEX">$$_2$$</EquationSource> <EquationSource Format="MATHML"> <math xmlns:xlink="http://www.w3.org/1999/xlink"> <msub> <mrow/> <mn>2</mn> </msub> </math> </EquationSource> </InlineEquation> futures price. The large jumps have a discrete origin, i.e. they can arise from various demand factors or institutional decisions on the tradable permits market. Contrary to the existing literature, we show that the stochastic process of carbon futures prices does not contain a continuous component (Brownian motion). The results are derived by using high-frequency data in the activity signature function framework (Todorov and Tauchen in J Econom 154:125–138, <CitationRef CitationID="CR68">2010</CitationRef>; Todorov and Tauchen in J Bus Econ Stat 29:356–371, <CitationRef CitationID="CR69">2011</CitationRef>). The implication is that the carbon futures price should be modeled as an appropriately sampled, centered Lévy or Poisson process. The pure-jump behavior of the carbon price might be explained by the lower volume of trades on this allowance market (compared to other highly liquid financial markets). Copyright Springer Science+Business Media Dordrecht 2014