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We propose a novel stochastic time series model able to explain the stylized features of daily irradation level data in 5 cities in Germany. The model is suitable for applications to risk management of photovoltaic power production in renewable energy markets. The suggested dynamics is a low...
Persistent link: https://www.econbiz.de/10013216970
Functional data analysis (FDA) has emerged as a new area of statistical research with a wide range of applications. In this paper, we propose some functional linear models in which both the response and the covariate variables are functions. These models enable to regularize curves observed over...
Persistent link: https://www.econbiz.de/10013241889
Due to the non-storability of electricity and the resulting lack of arbitrage-based arguments to price electricity forward contracts, these exhibit a significant time-varying risk premium. Using EEX data during the introduction of Emission certificates and the German "Atom Moratorium" we show...
Persistent link: https://www.econbiz.de/10013036715
This paper introduces a new modelling framework for energy spot prices based on Lévy semistationary processes. Lévy semistationary processes are special cases of the general class of ambit processes. We provide a detailed analysis of the probabilistic properties of such models and we show how...
Persistent link: https://www.econbiz.de/10013144201
Ambit processes are general stochastic processes based on stochastic integrals with respect to Lévy bases. Due to their flexible structure, they have great potential for providing realistic models for various applications such as in turbulence and finance. This papers studies the connection...
Persistent link: https://www.econbiz.de/10013144202
This paper proposes a multivariate model for commodity forward curves which is based on multivariate ambit fields.We show how a multivariate ambit field can be used to describe complex dependencies between commodities while staying in a tractable multivariate martingale framework. Moreover, we...
Persistent link: https://www.econbiz.de/10013060553
We solve the problem of pricing and hedging Asian-style options on energy with a quadratic risk criterion when trading in the underlying future is restricted. Liquid trading in the future is only possible up to the start of a so-called delivery period. After the start of the delivery period, the...
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