Modelling energy spot prices by volatility modulated Lévy-driven Volterra processes (Q358131)
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scientific article; zbMATH DE number 6198870
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Modelling energy spot prices by volatility modulated Lévy-driven Volterra processes |
scientific article; zbMATH DE number 6198870 |
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Modelling energy spot prices by volatility modulated Lévy-driven Volterra processes (English)
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16 August 2013
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This paper introduces a new class of models for spot prices in energy markets. In particular, the authors consider the class of volatility modulated Lévy-driven Volterra (VMLV) processes and its subclass of Lévy semistationary (LSS) processes, and model energy spot prices driven by VMLV and LSS processes. In this framework, deseasonalised spot prices are modeled in stationarity, and the model is flexible enough to include a stochastic volatility component, including jumps and spikes and allowing to capture the so-called ``Samuelson effect''. The authors provide a short description of the VMLV and LSS processes in Section 2, while Section 3 is an in-depth study of the proposed model, including a description of the second order structure and no-arbitrage conditions. The fourth section focuses on the pricing of forward contracts, while the fifth section applies the model to real data and shows its practical relevance.
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volatility modulated Lévy-driven Volterra processes
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semistationary Lévy processes
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stochastic integration
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energy markets
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spot prices
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forward prices
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Samuelson effect
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