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Modelling Electricity Futures by Ambit Fields

Part of: Stochastic processes Mathematical finance

Published online by Cambridge University Press:  22 February 2016

Ole E. Barndorff-Nielsen ,
Fred Espen Benth  and
Almut E. D. Veraart
Ole E. Barndorff-Nielsen*
Affiliation:
Aarhus University
Fred Espen Benth*
Affiliation:
University of Oslo
Almut E. D. Veraart*
Affiliation:
Imperial College London
*
∗ Postal address: Thiele Center, Department of Mathematics, and CREATES, Aarhus University, Ny Munkegade 118, DK-8000 Aarhus C, Denmark. Email address: oebn@imf.au.dk
∗∗ Postal address: Centre of Mathematics for Applications, University of Oslo, PO Box 1053, Blindern, N-0316 Oslo, Norway. Email address: fredb@math.uio.no
∗∗∗ Postal address: Department of Mathematics, Imperial College London, 180 Queen's Gate, London SW7 2AZ, UK. Email address: a.veraart@imperial.ac.uk
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Abstract

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In this paper we propose a new modelling framework for electricity futures markets based on so-called ambit fields. The new model can capture many of the stylised facts observed in electricity futures and is highly analytically tractable. We discuss martingale conditions, option pricing, and change of measure within the new model class. Also, we study the corresponding model for the spot price, which is implied by the new futures model, and show that, under certain regularity conditions, the implied spot price can be represented in law as a volatility modulated Volterra process.

Keywords

Electricity marketfutures pricerandom fieldambit fieldLévy baseSamuelson effectstochastic volatility

MSC classification

Primary: 91G99: None of the above, but in this section
Secondary: 60G51: Processes with independent increments; L'evy processes 60G57: Random measures 60G60: Random fields
Type
General Applied Probability
Information
Advances in Applied Probability , Volume 46 , Issue 3 , September 2014 , pp. 719 - 745
Copyright
© Applied Probability Trust 

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