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We propose a new structural model that can compute the electricity spot and forward prices in two coupled markets with limited interconnection and multiple fuels. We choose a structural approach in order to represent some key…

Mathematical Finance · Quantitative Finance 2017-04-21 Clemence Alasseur , Olivier Feron

We introduce a new and highly tractable structural model for spot and derivative prices in electricity markets. Using a stochastic model of the bid stack, we translate the demand for power and the prices of generating fuels into electricity…

Pricing of Securities · Quantitative Finance 2015-05-27 Rene Carmona , Michael Coulon , Daniel Schwarz

In this article we discuss the application of the Heath-Jarrow-Morton framework Heath et al. [26] to energy markets. The goal of the article is to give a detailed overview of the topic, focusing on practical aspects rather than on theory,…

Mathematical Finance · Quantitative Finance 2023-11-03 Matteo Gardini , Edoardo Santilli

We provide a general HJM framework for forward contracts written on abstract market indices with arbitrary fixing and payment adjustments, and featuring collateralization in any currency denominations. In view of this, we first provide a…

Pricing of Securities · Quantitative Finance 2026-03-06 Alessandro Gnoatto , Silvia Lavagnini

One of the peculiarities of power and gas markets is the delivery mechanism of forward contracts. The seller of a futures contract commits to deliver, say, power, over a certain period, while the classical forward is a financial agreement…

Mathematical Finance · Quantitative Finance 2018-06-08 Fred Espen Benth , Marco Piccirilli , Tiziano Vargiolu

In this paper we show how to approximate a Heath-Jarrow-Morton dynamics for the forward prices in commodity markets with arbitrage-free models which have a finite dimensional state space. Moreover, we recover a closed form representation of…

Mathematical Finance · Quantitative Finance 2015-12-21 Fred Espen Benth , Paul Krühner

We develop a unified framework for modeling multiple term structures arising in financial, insurance, and energy markets, adopting an extended Heath-Jarrow-Morton (HJM) approach under the real-world probability. We study market viability…

Mathematical Finance · Quantitative Finance 2026-03-18 Claudio Fontana , Eckhard Platen , Stefan Tappe

The increasing interest in demand-side management (DSM) as part of the energy cost optimization calls for effective methods to determine representative electricity prices for energy optimization and scheduling investigations. We propose a…

Applications · Statistics 2026-01-15 Chrysanthi Papadimitriou , Jan C. Schulze , Alexander Mitsos

In energy markets, joint historical and implied calibration is of paramount importance for practitioners, yet notoriously challenging due to the need to align historical correlations of futures contracts with implied volatility smiles from…

Mathematical Finance · Quantitative Finance 2026-04-29 Eduardo Abi Jaber , Soukaïna Bruneau , Nathan De Carvalho , Dimitri Sotnikov , Laurent Tur

We price European-style options written on forward contracts in a commodity market, which we model with an infinite-dimensional Heath-Jarrow-Morton (HJM) approach. For this purpose we introduce a new class of state-dependent volatility…

Mathematical Finance · Quantitative Finance 2021-05-07 Fred Espen Benth , Nils Detering , Silvia Lavagnini

We present a new model for the electricity spot price dynamics, which is able to capture seasonality, low-frequency dynamics and the extreme spikes in the market. Instead of the usual purely deterministic trend we introduce a non-stationary…

Applications · Statistics 2012-01-06 Fred Espen Benth , Claudia Klüppelberg , Gernot Müller , Linda Vos

Overnight rates, such as the SOFR (Secured Overnight Financing Rate) in the US, are central to the current reform of interest rate benchmarks. A striking feature of overnight rates is the presence of jumps and spikes occurring at…

Mathematical Finance · Quantitative Finance 2023-08-14 Claudio Fontana , Zorana Grbac , Thorsten Schmidt

Classical time series models have serious difficulties in modeling and forecasting the enormous fluctuations of electricity spot prices. Markov regime switch models belong to the most often used models in the electricity literature. These…

Applications · Statistics 2013-12-02 Dominik Liebl

There are several approaches to modeling and forecasting time series as applied to prices of commodities and financial assets. One of the approaches is to model the price as a non-stationary time series process with heteroscedastic…

Statistical Finance · Quantitative Finance 2024-07-01 Andrei Renatovich Batyrov

A new test of a wide class of interest rate models is proposed and applied to a recently developed quantum field theoretic model and the industry standard Heath-Jarrow-Morton model. This test is independent of the volatility function unlike…

Statistical Mechanics · Physics 2008-12-02 Belal E. Baaquie , Srikant Marakani

We propose and investigate two model classes for forward power price dynamics, based on continuous branching processes with immigration, and on Hawkes processes with exponential kernel, respectively. The models proposed exhibit jumps…

Statistical Finance · Quantitative Finance 2019-10-30 Giorgia Callegaro , Andrea Mazzoran , Carlo Sgarra

This review presents the set of electricity price models proposed in the literature since the opening of power markets. We focus on price models applied to financial pricing and risk management. We classify these models according to their…

Mathematical Finance · Quantitative Finance 2021-07-30 Thomas Deschatre , Olivier Féron , Pierre Gruet

In this paper we present a regression based model for day-ahead electricity spot prices. We estimate the considered linear regression model by the lasso estimation method. The lasso approach allows for many possible parameters in the model,…

Statistical Finance · Quantitative Finance 2016-10-26 Florian Ziel

We propose a new estimator for the spot covariance matrix of a multi-dimensional continuous semi-martingale log asset price process which is subject to noise and non-synchronous observations. The estimator is constructed based on a local…

Statistics Theory · Mathematics 2017-07-11 Markus Bibinger , Nikolaus Hautsch , Peter Malec , Markus Reiß

The accurate prediction of short-term electricity prices is vital for effective trading strategies, power plant scheduling, profit maximisation and efficient system operation. However, uncertainties in supply and demand make such…

Econometrics · Economics 2023-04-20 Mira Watermeyer , Thomas Möbius , Oliver Grothe , Felix Müsgens
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