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The rapid growth of weather-dependent renewable generation increases price volatility and imbalance penalty risk in power markets, creating the need for advanced quantitative trading strategies. We develop a data-driven continuous-time…

Mathematical Finance · Quantitative Finance 2026-05-01 Chiheb Ben Hammouda , Michael Samet , Raúl Tempone

The literature on volatility modelling and option pricing is a large and diverse area due to its importance and applications. This paper provides a review of the most significant volatility models and option pricing methods, beginning with…

Pricing of Securities · Quantitative Finance 2009-04-09 Sovan Mitra

Differential equations can be used to construct predictive models of a diverse set of real-world phenomena like heat transfer, predator-prey interactions, and missile tracking. In our work, we explore one particular application of…

Pricing of Securities · Quantitative Finance 2025-10-28 Brandon Kaplowitz , Siddharth G. Reddy

We propose an enhancement to wholesale electricity markets whereby the exposure of consumers to increasingly large and volatile consumer payments arising as a byproduct of volatile real-time net loads -- i.e., loads minus renewable outputs…

Optimization and Control · Mathematics 2024-08-13 Daniel Bienstock , Yury Dvorkin , Cheng Guo , Robert Mieth , Jiayi Wang

Researchers and electricity sector practitioners frequently require the supply curve of electricity markets and the price elasticity of supply for purposes such as price forecasting, policy analyses or market power assessment. It is common…

Accurate forecasts of electricity spot prices are essential to the daily operational and planning decisions made by power producers and distributors. Typically, point forecasts of these quantities suffice, particularly in the Nord Pool…

Statistical Finance · Quantitative Finance 2018-12-07 Gunnhildur H. Steinbakk , Alex Lenkoski , Ragnar Bang Huseby , Anders Løland , Tor Arne Øigård

In this paper, we develop a new approach to the very short-term point forecasting of electricity prices in the continuous market. It is based on the Support Vector Regression with a kernel correction built on additional forecast of…

Applications · Statistics 2024-11-26 Andrzej Puć , Joanna Janczura

In this paper, a stochastic model with regime switching is developed for solar photo-voltaic (PV) power in order to provide short-term probabilistic forecasts. The proposed model for solar PV power is physics inspired and explicitly…

Applications · Statistics 2017-09-19 Raksha Ramakrishna , Anna Scaglione , Vijay Vittal

We develop a stochastic equilibrium model for an electricity market with asymmetric renewable energy forecasts. In our setting, market participants optimize their profits using public information about a conditional expectation of energy…

Optimization and Control · Mathematics 2020-05-26 Vladimir Dvorkin , Jalal Kazempour , Pierre Pinson

While the field of electricity price forecasting has benefited from plenty of contributions in the last two decades, it arguably lacks a rigorous approach to evaluating new predictive algorithms. The latter are often compared using unique,…

Applications · Statistics 2022-04-07 Jesus Lago , Grzegorz Marcjasz , Bart De Schutter , Rafał Weron

This paper proposes a hierarchical modeling approach to perform stochastic model specification in Markov switching vector error correction models. We assume that a common distribution gives rise to the regime-specific regression…

Econometrics · Economics 2019-09-06 Niko Hauzenberger , Florian Huber , Michael Pfarrhofer , Thomas O. Zörner

In this paper we introduce a multilevel specification with stochastic volatility for repeated cross-sectional data. Modelling the time dynamics in repeated cross sections requires a suitable adaptation of the multilevel framework where the…

Applications · Statistics 2016-03-08 Silvia Cagnone , Simone Giannerini , Lucia Modugno

Incomplete financial markets are considered, defined by a multi-dimensional non-homogeneous diffusion process, being the direct sum of an It\^{o} process (the price process), and another non-homogeneous diffusion process (the exogenous…

Optimization and Control · Mathematics 2014-05-15 Yalçin Aktar , Erik Taflin

Energy storage are strategic participants in electricity markets to arbitrage price differences. Future power system operators must understand and predict strategic storage arbitrage behaviors for market power monitoring and capacity…

Systems and Control · Electrical Eng. & Systems 2024-02-02 Yuexin Bian , Ningkun Zheng , Yang Zheng , Bolun Xu , Yuanyuan Shi

The VSTOXX index tracks the expected 30-day volatility of the EURO STOXX 50 equity index. Futures on the VSTOXX index can, therefore, be used to hedge against economic uncertainty. We investigate the effect of trader inventory on the price…

Trading and Market Microstructure · Quantitative Finance 2021-07-30 Daniel Guterding

In the first part of this thesis, we focus on American options in the Heston model. We first give an analytical characterization of the value function of an American option as the unique solution of the associated (degenerate) parabolic…

Probability · Mathematics 2019-11-13 Giulia Terenzi

The integration of renewable energy into electricity markets poses significant challenges to price stability and increases the complexity of market operations. Accurate and reliable electricity price forecasting is crucial for effective…

Machine Learning · Computer Science 2025-02-10 Ciaran O'Connor , Mohamed Bahloul , Roberto Rossi , Steven Prestwich , Andrea Visentin

An increase in energy production from renewable energy sources is viewed as a crucial achievement in most industrialized countries. The higher variability of power production via renewables leads to a rise in ancillary service costs over…

General Finance · Quantitative Finance 2017-09-25 Mario Mureddu , Hildegard Meyer-Ortmanns

In this paper we study the pricing of exchange options when underlying assets have stochastic volatility and stochastic correlation. An approximation using a closed-form approximation based on a Taylor expansion of the conditional price is…

Pricing of Securities · Quantitative Finance 2020-01-14 Enrique Villamor , Pablo Olivares

Recently, chance-constrained stochastic electricity market designs have been proposed to address the shortcomings of scenario-based stochastic market designs. In particular, the use of chance-constrained market-clearing avoids trading off…

Optimization and Control · Mathematics 2021-06-14 Alvaro Gonzalez-Castellanos , Anton Hinneck , Robert Mieth , David Pozo , Yury Dvorkin
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