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We describe a model of a communication network that allows us to price complex network services as financial derivative contracts based on the spot price of the capacity in individual routers. We prove a theorem of a Girsanov transform that…

Networking and Internet Architecture · Computer Science 2007-05-23 Lars Rasmusson

We analyze the relative price change of assets starting from basic supply/demand considerations subject to arbitrary motivations. The resulting stochastic differential equation has coefficients that are functions of supply and demand. We…

Theoretical Economics · Economics 2020-08-26 Carey Caginalp , Gunduz Caginalp

We consider Markov-switching regression models, i.e. models for time series regression analyses where the functional relationship between covariates and response is subject to regime switching controlled by an unobservable Markov chain.…

Methodology · Statistics 2015-05-12 Roland Langrock , Thomas Kneib , Richard Glennie , Théo Michelot

We consider the discretized Bachelier model where hedging is done on an equidistant set of times. Exponential utility indifference prices are studied for path-dependent European options and we compute their non-trivial scaling limit for a…

Probability · Mathematics 2022-03-03 Asaf Cohen , Yan Dolinsky

Virtual bidding plays an important role in two-settlement electric power markets, as it can reduce discrepancies between day-ahead and real-time markets. Renewable energy penetration increases volatility in electricity prices, making…

Machine Learning · Computer Science 2024-12-03 Xuesong Wang , Sharaf K. Magableh , Oraib Dawaghreh , Caisheng Wang , Jiaxuan Gong , Zhongyang Zhao , Michael H. Liao

We introduce a non-Markovian model for electricity markets where the spot price of electricity is driven by several Gaussian Volterra processes, which can be e.g., fractional Brownian motions (fBms), Riemann-Liouville processes or…

Probability · Mathematics 2024-10-22 Yuliya Mishura , Stefania Ottaviano , Tiziano Vargiolu

Recently, the volatility associated with marginal prices has increased due to large scale integration of renewable generation. Price volatility is undesirable from a consumer perspective. To address this issue, we present a framework for…

Optimization and Control · Mathematics 2018-12-11 Shantanu Chakraborty , Kyri Baker , Milos Cvetkovic , Remco Verzijlbergh , Zofia Lukszo

Operational decisions relying on predictive distributions of electricity prices can result in significantly higher profits compared to those based solely on point forecasts. However, the majority of models developed in both academic and…

Statistical Finance · Quantitative Finance 2024-10-08 Arkadiusz Lipiecki , Bartosz Uniejewski , Rafał Weron

Motivated by the increasing integration among electricity markets, in this paper we propose two different methods to incorporate market integration in electricity price forecasting and to improve the predictive performance. First, we…

Statistical Finance · Quantitative Finance 2017-12-08 Jesus Lago , Fjo De Ridder , Peter Vrancx , Bart De Schutter

In this article, we analyze two modeling approaches for the pricing of derivative contracts on a commodity index. The first one is a microscopic approach, where the components of the index are modeled individually, and the index price is…

Computational Finance · Quantitative Finance 2024-08-05 Alberto Manzano , Emanuele Nastasi , Andrea Pallavicini , Carlos Vázquez

Probabilistic electricity price forecasting (PEPF) is vital for short-term electricity markets, yet the multivariate nature of day-ahead prices - spanning 24 consecutive hours - remains underexplored. At the same time, real-time…

Machine Learning · Statistics 2026-04-27 Simon Hirsch

Electric power generation, transmission, and distribution systems are attracting a large amount of interest from researchers with the development of the smart grid technologies. A smart grid aims at effective control and conditioning of the…

Systems and Control · Electrical Eng. & Systems 2020-09-01 Abhishek Tyagi , Ram Bhagat

We introduce a new volatility model for option pricing that combines Markov switching with the Realized GARCH framework. This leads to a novel pricing kernel with a state-dependent variance risk premium and a pricing formula for European…

Pricing of Securities · Quantitative Finance 2022-04-15 Chen Tong , Peter Reinhard Hansen , Zhuo Huang

We investigate the problem of pricing derivatives under a fractional stochastic volatility model. We obtain an approximate expression of the derivative price where the stochastic volatility can be composed of deterministic functions of time…

Pricing of Securities · Quantitative Finance 2022-10-28 Yuecai Han , Xudong Zheng

An optimal scheduling model for a microgrid participating in the electricity distribution market in interaction with a Distribution Market Operator (DMO) is proposed in this paper. The DMO administers the established electricity market in…

Systems and Control · Computer Science 2016-11-15 Sina Parhizi , Amin Khodaei , Mohammad Shahidehpour

We develop a tractable equilibrium model for price formation in intraday electricity markets in the presence of intermittent renewable generation. Using stochastic control theory, we identify the optimal strategies of agents with market…

Pricing of Securities · Quantitative Finance 2021-07-01 Olivier Féron , Peter Tankov , Laura Tinsi

Financial derivatives are contracts that can have a complex payoff dependent upon underlying benchmark assets. In this work, we present a quantum algorithm for the Monte Carlo pricing of financial derivatives. We show how the relevant…

Quantum Physics · Physics 2018-08-23 Patrick Rebentrost , Brajesh Gupt , Thomas R. Bromley

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

We study an optimal portfolio problem designed for an agent operating in intraday electricity markets. The investor is allowed to trade in a single risky asset modelling the continuously traded power and aims to maximize the expected…

Portfolio Management · Quantitative Finance 2018-07-06 Marco Piccirilli , Tiziano Vargiolu

Accurate day-ahead electricity price forecasting is essential for residential welfare, yet current methods often fall short in forecast accuracy. We observe that commonly used time series models struggle to utilize the prior correlation…

Machine Learning · Computer Science 2024-08-20 Linian Wang , Jianghong Liu , Huibin Zhang , Leye Wang
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