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In an electric power system, demand fluctuations may result in significant ancillary cost to suppliers. Furthermore, in the near future, deep penetration of volatile renewable electricity generation is expected to exacerbate the variability…

Optimization and Control · Mathematics 2012-07-13 John N. Tsitsiklis , Yunjian Xu

We develop further the spot volatility estimator introduced in Hoffmann, Munk and Schmidt-Hieber (2012) from a practical point of view and make it useful for the analysis of high-frequency financial data. In a first part, we adjust the…

Applications · Statistics 2013-09-25 Till Sabel , Johannes Schmidt-Hieber , Axel Munk

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…

We study the high frequency price dynamics of traded stocks by a model of returns using a semi-Markov approach. More precisely we assume that the intraday return are described by a discrete time homogeneous semi-Markov process and the…

Statistical Finance · Quantitative Finance 2012-08-24 Guglielmo D'Amico , Filippo Petroni

This paper introduces a novel Bayesian reverse unrestricted mixed-frequency model applied to a panel of nine European electricity markets. Our model analyzes the impact of daily fossil fuel prices and hourly renewable energy generation on…

Econometrics · Economics 2025-07-01 Francesco Ravazzolo , Luca Rossini , Andrea Viselli

We study the temporal fluctuations in time-dependent stock prices (both individual and composite) as a stochastic phenomenon using general techniques and methods of nonequilibrium statistical mechanics. In particular, we analyze stock price…

Physics and Society · Physics 2008-12-02 M. Constantin , S. Das Sarma

In this paper we study the distribution of a product of two continuous random variables. We derive formulas for the probability density functions and moments of the products of the Gaussian, log-normal, Student's t and Pareto random…

Probability · Mathematics 2021-11-29 Julia Adamska , Łukasz Bielak , Joanna Janczura , Agnieszka Wyłomańska

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

Electricity market price predictions enable energy market participants to shape their consumption or supply while meeting their economic and environmental objectives. By utilizing the basic properties of the supply-demand matching process…

Applications · Statistics 2019-06-11 Ana Radovanovic , Tommaso Nesti , Bokan Chen

This paper compares alternative univariate versus multivariate models, frequentist versus Bayesian autoregressive and vector autoregressive specifications, for hourly day-ahead electricity prices, both with and without renewable energy…

Econometrics · Economics 2019-11-13 Angelica Gianfreda , Francesco Ravazzolo , Luca Rossini

We consider the pricing problem related to payoffs that can have discontinuities of polynomial growth. The asset price dynamic is modeled within the Black and Scholes framework characterized by a stochastic volatility term driven by a…

Probability · Mathematics 2016-07-26 Viktor Bezborodov , Luca Di Persio , Yuliya Mishura

An intense research on financial market microstructure is presently in progress. Continuous time random walks (CTRWs) are general models capable to capture the small-scale properties that high frequency data series show. The use of CTRW…

Physics and Society · Physics 2008-12-02 Miquel Montero , Jaume Masoliver

This paper analyzes stability conditions for wholesale electricity markets under real-time retail pricing and realistic consumption models with memory, which explicitly take into account previous electricity prices and consumption levels.…

Systems and Control · Computer Science 2017-02-21 Datong P. Zhou , Mardavij Roozbehani , Munther A. Dahleh , Claire J. Tomlin

In this paper we test the random walk hypothesis on the high frequency dataset of the bid--ask Deutschemark/US dollar exchange rate quotes registered by the inter-bank Reuters network over the period October 1, 1992 to September 30, 1993.…

Statistical Mechanics · Physics 2009-10-31 R. Baviera , D. Vergni , A. Vulpiani

We introduce a Multifractal Random Walk (MRW) defined as a stochastic integral of an infinitely divisible noise with respect to a dependent fractional Brownian motion. Using the techniques of the Malliavin calculus, we study the existence…

Probability · Mathematics 2012-09-24 Alexis Fauth , Ciprian Tudor

We consider estimation of the spot volatility in a stochastic boundary model with one-sided microstructure noise for high-frequency limit order prices. Based on discrete, noisy observations of an It\^o semimartingale with jumps and general…

Statistics Theory · Mathematics 2024-11-20 Markus Bibinger

Most models for barrier pricing are designed to let a market maker tune the model-implied covariance between moves in the asset spot price and moves in the implied volatility skew. This is often implemented with a local…

Pricing of Securities · Quantitative Finance 2014-04-16 Mark Higgins

We examine the novel problem of the estimation of transaction arrival processes in the intraday electricity markets. We model the inter-arrivals using multiple time-varying parametric densities based on the generalized F distribution…

General Economics · Economics 2019-12-03 Michał Narajewski , Florian Ziel

Electricity markets are significantly more volatile than other comparable financial or commodity markets. Extreme price outcomes and their transmission between regions pose significant risks for market participants. We examine the…

Risk Management · Quantitative Finance 2022-02-22 Lin Han , Ivor Cribben , Stefan Trueck

The exponential growth of renewable energy capacity has brought much uncertainty to electricity prices and to electricity generation. To address this challenge, the energy exchanges have been developing further trading possibilities,…

Statistical Finance · Quantitative Finance 2022-05-24 Michał Narajewski
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