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Related papers: A Heath-Jarrow-Morton framework for energy markets…

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In this paper we introduce a flexible HJM-type framework that allows for consistent modelling of intraday, spot, futures, and option prices. This framework is based on stochastic processes with economic interpretations and consistent with…

Mathematical Finance · Quantitative Finance 2019-01-21 Wieger Hinderks , Andreas Wagner , Ralf Korn

We introduce a framework that allows to employ (non-negative) measure-valued processes for energy market modeling, in particular for electricity and gas futures. Interpreting the process' spatial structure as time to maturity, we show how…

Mathematical Finance · Quantitative Finance 2022-10-19 Christa Cuchiero , Luca Di Persio , Francesco Guida , Sara Svaluto-Ferro

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

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

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 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

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

Over the past years, distributed energy resources (DER) have been the object of many studies, which recognise and establish their emerging role in the future of power systems. However, the implementation of many scenarios and mechanism are…

Systems and Control · Computer Science 2018-09-20 Jaysson Guerrero , Archie Chapman , Gregor Verbic

This study focuses on the application of the Heston model to option pricing, employing both theoretical derivations and empirical validations. The Heston model, known for its ability to incorporate stochastic volatility, is derived and…

Computational Finance · Quantitative Finance 2024-10-22 Zheng Cao , Xinhao Lin

This work focuses on the electric power market, comparing the status quo with the recent trend towards the increase in distributed self-generation capabilities by prosumers. Starting from the existing tension between the intrinsically…

Physics and Society · Physics 2020-03-30 Luca Mazzola , Alexander Denzler , Ramon Christen

In the power and energy systems area, a progressive increase of literature contributions containing applications of metaheuristic algorithms is occurring. In many cases, these applications are merely aimed at proposing the testing of an…

Artificial Intelligence · Computer Science 2020-08-19 Gianfranco Chicco , Andrea Mazza

As a consequence of the financial crises, risk management became more important and real-world dynamics of interest-rate models moved into the focus of interest. Since risk-neutral dynamics are classically important to compute prices of…

Probability · Mathematics 2017-07-26 David Criens

Pricing interest-rate financial derivatives is a major problem in finance, in which it is crucial to accurately reproduce the time-evolution of interest rates. Several stochastic dynamics have been proposed in the literature to model either…

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

Electricity market modelling is often used by governments, industry and agencies to explore the development of scenarios over differing timeframes. For example, how would the reduction in cost of renewable energy impact investments in gas…

Multiagent Systems · Computer Science 2020-05-22 Alexander J. M. Kell , Matthew Forshaw , A. Stephen McGough

We present a hierarchical framework aimed at decentralizing the distribution systems market operations using localized peer-to-peer energy markets. Hierarchically designed decision-making algorithm approaches the power systems market…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-11-21 Sakshi Mishra , Roohallah Khatami , Yu Christine Chen

This paper aims at transferring the philosophy behind Heath-Jarrow-Morton to the modelling of call options with all strikes and maturities. Contrary to the approach by Carmona and Nadtochiy (2009) and related to the recent contribution…

Pricing of Securities · Quantitative Finance 2013-08-22 Jan Kallsen , Paul Krühner

In this paper a unifying energy-based approach is provided to the modeling and stability analysis of power systems coupled with market dynamics. We consider a standard model of the power network with a third-order model for the synchronous…

Optimization and Control · Mathematics 2016-07-28 Tjerk Stegink , Claudio De Persis , Arjan van der Schaft

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

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
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