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The pricing and hedging of a general class of options (including American, Bermudan and European options) on multiple assets are studied in the context of currency markets where trading is subject to proportional transaction costs, and…

Pricing of Securities · Quantitative Finance 2014-06-03 Alet Roux , Tomasz Zastawniak

This paper studies risk in a stochastic auction which facilitates the integration of renewable generation in electricity markets. We model market participants who are risk averse and reflect their risk aversion through coherent risk…

Optimization and Control · Mathematics 2020-05-01 Ryan Cory-Wright , Golbon Zakeri

We present an algorithm producing a dynamic non-self-financing hedging strategy in an incomplete market corresponding to investor-relevant risk criterion. The optimization is a two stage process that first determines admissible model…

Statistics Theory · Mathematics 2008-12-10 N. Josephy , L. Kimball , A. Nagaev , M. Pasniewski , V. Steblovskaya

Within a financial model with linear price impact, we study the problem of hedging a covered European option under gamma constraint. Using stochastic target and partial differential equation smoothing techniques, we prove that the…

Probability · Mathematics 2015-12-23 B Bouchard , G Loeper , Y Zou

In this paper, we construct the utility-based optimal hedging strategy for a European-type option in the Almgren-Chriss model with temporary price impact. The main mathematical challenge of this work stems from the degeneracy of the second…

Pricing of Securities · Quantitative Finance 2020-06-18 Ibrahim Ekren , Sergey Nadtochiy

Optimal execution, i.e., the determination of the most cost-effective way to trade volumes in continuous trading sessions, has been a topic of interest in the equity trading world for years. Electricity intraday trading slowly follows this…

Trading and Market Microstructure · Quantitative Finance 2020-10-06 Christopher Kath , Florian Ziel

The problem of allocating scarce items to individuals is an important practical question in market design. An increasingly popular set of mechanisms for this task uses the concept of market equilibrium: individuals report their preferences,…

Computer Science and Game Theory · Computer Science 2019-12-11 Riley Murray , Christian Kroer , Alex Peysakhovich , Parikshit Shah

Trading large volumes of a financial asset in order driven markets requires the use of algorithmic execution dividing the volume in many transactions in order to minimize costs due to market impact. A proper design of an optimal execution…

Trading and Market Microstructure · Quantitative Finance 2015-06-05 Enzo Busseti , Fabrizio Lillo

In many markets, like electricity or cloud computing markets, providers incur large costs for keeping sufficient capacity in reserve to accommodate demand fluctuations of a mostly fixed user base. These costs are significantly affected by…

Computer Science and Game Theory · Computer Science 2020-04-07 Ludwig Dierks , Sven Seuken

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

Motivated by the problem of market power in electricity markets, we introduced in previous works a mechanism for simplified markets of two agents with linear cost. In standard procurement auctions, the market power resulting from the…

Theoretical Economics · Economics 2019-07-25 Benjamin Heymann , Alejandro Jofré

The problem of stock hedging is reconsidered in this paper, where a put option is chosen from a set of available put options to hedge the market risk of a stock. A formula is proposed to determine the probability that the potential loss…

Risk Management · Quantitative Finance 2011-10-04 Guanghui Huang , Jing Xu , Wenting Xing

The smart grid vision entails advanced information technology and data analytics to enhance the efficiency, sustainability, and economics of the power grid infrastructure. Aligned to this end, modern statistical learning tools are leveraged…

Machine Learning · Statistics 2015-06-17 Vassilis Kekatos , Yu Zhang , Georgios B. Giannakis

We find the variance-optimal equivalent martingale measure when multivariate assets are modeled by a regime-switching geometric Brownian motion, and the regimes are represented by a homogeneous continuous time Markov chain. Under this new…

Probability · Mathematics 2023-09-14 Bruno Remillard , Sylvain Rubenthaler

Securing an adequate supply of dispatchable resources is critical for keeping a power system reliable under high penetrations of variable generation. Traditional resource adequacy mechanisms are poorly suited to exploiting the growing…

Systems and Control · Electrical Eng. & Systems 2022-10-27 Farhad Billimoria , Filiberto Fele , Iacopo Savelli , Thomas Morstyn , Malcolm McCulloch

The increased market penetration of renewable energy sources and the rapid development of electric battery storage technologies yield a potential for reducing electricity price volatility while maintaining stability of the power grid. This…

Optimization and Control · Mathematics 2017-06-13 Juri Hinz , Jeremy Yee

Freight rate derivatives constitute a very popular financial tool in shipping industry, that allows to the market participants and the individuals operating in the field, to reassure their financial positions against the risk occurred by…

Risk Management · Quantitative Finance 2025-10-28 Georgios I. Papayiannis

This paper introduces a novel methodology for the pricing and management of share buyback contracts, overcoming the limitations of traditional optimal control methods, which frequently encounter difficulties with high-dimensional state…

Pricing of Securities · Quantitative Finance 2024-07-15 Bastien Baldacci , Philippe Bergault , Olivier Guéant

In the paper a problem of risk measures on a discrete-time market model with transaction costs is studied. Strategy effectiveness and shortfall risk is introduced. This paper is a generalization of quantile hedging presented in [4].

Mathematical Finance · Quantitative Finance 2016-01-14 Michał Barski

Electricity markets differ in their ability to meet power imbalances in short notice in a controlled fashion. Relatively flexible markets have the ability to ramp up (or down) power flows across interties without compromising their ability…

Computer Science and Game Theory · Computer Science 2022-03-01 Hossein Khazaei , Ceyhun Eksin , Roohallah Khatami , Alfredo Garcia
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