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This paper introduces a new type of risk measures, namely regime switching entropic risk measures, and study their applicability through simulations. The state of the economy is incorporated into the entropic risk formulation by using a…

Risk Management · Quantitative Finance 2021-12-28 Babacar Seck , Robert J. Elliott

The large variability of renewable power sources is a central challenge in the transition to a sustainable energy system. Electricity markets are central for the coordination of electric power generation. These markets rely evermore on…

Statistical Finance · Quantitative Finance 2021-12-07 Chengyuan Han , Hannes Hilger , Eva Mix , Philipp C. Böttcher , Mark Reyers , Christian Beck , Dirk Witthaut , Leonardo Rydin Gorjão

The paper proposes a class of financial market models which are based on inhomogeneous telegraph processes and jump diffusions with alternating volatilities. It is assumed that the jumps occur when the tendencies and volatilities are…

Pricing of Securities · Quantitative Finance 2008-12-04 Nikita Ratanov

The participation of electric vehicle (EV) aggregators in real-time electricity markets offers promising revenue opportunities through price-responsive energy arbitrage. A central challenge in economic bidding lies in quantifying the…

Optimization and Control · Mathematics 2025-10-02 Zhen Zhu , Hongcai Zhang , Yonghua Song

How does dynamic price information flow among Northern European electricity spot prices and prices of major electricity generation fuel sources? We use time series models combined with new advances in causal inference to answer these…

Applications · Statistics 2011-10-26 Egil Ferkingstad , Anders Løland , Mathilde Wilhelmsen

The recent liberalization of the electricity and gas markets has resulted in the growth of energy exchanges and modelling problems. In this paper, we modelize jointly gas and electricity spot prices using a mean-reverting model which fits…

Statistical Finance · Quantitative Finance 2018-02-20 Noufel Frikha , Vincent Lemaire

This paper presents a dynamic pricing and energy management framework for electric vehicle (EV) charging service providers. To set the charging prices, the service providers faces three uncertainties: the volatility of wholesale electricity…

Signal Processing · Electrical Eng. & Systems 2018-01-10 Chao Luo , Yih-Fang Huang , Vijay Gupta

Most energy and commodity markets exhibit mean-reversion and occasional distinctive price spikes, which results in demand for derivative products which protect the holder against high prices. To this end, in this paper we present exact and…

Computational Finance · Quantitative Finance 2021-04-23 Nicola Cufaro Petroni , Piergiacomo Sabino

We prove that the variance swap rate (fair strike) equals the price of a co-terminal European-style contract when the underlying is an exponential Markov process, time-changed by an arbitrary continuous stochastic clock, which has arbitrary…

Mathematical Finance · Quantitative Finance 2019-11-18 Peter Carr , Roger Lee , Matthew Lorig

Our paper aims to model and forecast the electricity price by taking a completely new perspective on the data. It will be the first approach which is able to combine the insights of market structure models with extensive and modern…

Trading and Market Microstructure · Quantitative Finance 2016-10-18 Florian Ziel , Rick Steinert

We discuss and extend methods for estimating Markovian-Regime-Switching (MRS) and trend models for wholesale electricity prices. We argue the existing methods of trend estimation used in the electricity price modelling literature either…

Methodology · Statistics 2020-09-17 Angus Lewis , Nigel Bean , Giang Nguyen

This paper studies the pricing of European-style Asian options when the price dynamics of the underlying risky asset are assumed to follow a Markov- modulated geometric Brownian motion; that is, the appreciation rate and the volatility of…

Pricing of Securities · Quantitative Finance 2014-07-22 Leunglung Chan , Song-Ping Zhu

Data centers are becoming a major consumer of electricity on the grid, with cooling accounting for about 40\% of that energy. As electricity prices vary throughout the day and year, there is a need for cooling strategies that adapt to these…

Optimization and Control · Mathematics 2025-09-15 Arash Khojaste , Jonathan Pearce , Golbon Zakeri , Yuanrui Sang

The increasing importance of renewable energy, especially solar and wind power, has led to new forces in the formation of electricity prices. Hence, this paper introduces an econometric model for the hourly time series of electricity prices…

Applications · Statistics 2021-02-02 Florian Ziel , Rick Steinert , Sven Husmann

Using a Levy process we generalize formulas in Bo et al.(2010) for the Esscher transform parameters for the log-normal distribution which ensure the martingale condition holds for the discounted foreign exchange rate. Using these values of…

Computational Finance · Quantitative Finance 2014-02-11 Anatoliy Swishchuk , Maksym Tertychnyi , Robert Elliott

In the classical model of stock prices which is assumed to be Geometric Brownian motion, the drift and the volatility of the prices are held constant. However, in reality, the volatility does vary. In quantitative finance, the Heston model…

Pricing of Securities · Quantitative Finance 2019-10-21 Arunangshu Biswas , Anindya Goswami , Ludger Overbeck

We investigate the problem of pricing and hedging derivatives of Electricity Futures contract when the underlying asset is not available. We propose to use a cross hedging strategy based on the Futures contract covering the larger delivery…

Pricing of Securities · Quantitative Finance 2014-02-03 Adrien Nguyen Huu , Nadia Oudjane

This paper proposes an agent-based model that combines both spot and balancing electricity markets. From this model, we develop a multi-agent simulation to study the integration of the consumers' flexibility into the system. Our study…

Systems and Control · Computer Science 2018-02-13 Florian Kühnlenz , Pedro H. J. Nardelli , Santtu Karhinen , Rauli Svento

In the regime switching extension of Black-Scholes-Merton model of asset price dynamics, one assumes that the volatility coefficient evolves as a hidden pure jump process. Under the assumption of Markov regime switching, we have considered…

Computational Finance · Quantitative Finance 2022-03-22 Anindya Goswami , Kedar Nath Mukherjee , Irvine Homi Patalwala , Sanjay N. S

This paper develops risk-averse models to support system operators in planning and operating the electricity grid under uncertainty from renewable power generation. We incorporate financial risk hedging using conditional value at risk…

Optimization and Control · Mathematics 2026-01-06 Arash Khojaste , Jonathan Pearce , Daniela Pucci de Farias , Geoffrey Pritchard , Golbon Zakeri