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Classical time series models have serious difficulties in modeling and forecasting the enormous fluctuations of electricity spot prices. Markov regime switch models belong to the most often used models in the electricity literature. These…

Applications · Statistics 2013-12-02 Dominik Liebl

We establish existence of Predictable Forward Performance Processes (PFPPs) in complete markets, which has been previously shown only in the binomial setting. Our market model can be a discrete-time or a continuous-time model, and the…

Portfolio Management · Quantitative Finance 2022-09-22 Bahman Angoshtari

Financial markets for Liquified Natural Gas (LNG) are an important and rapidly-growing segment of commodities markets. Like other commodities markets, there is an inherent spatial structure to LNG markets, with different price dynamics for…

Risk Management · Quantitative Finance 2019-07-25 Michael Weylandt , Yu Han , Katherine B. Ensor

Financial market forecasting remains a formidable challenge despite the surge in computational capabilities and machine learning advancements. While numerous studies have underscored the precision of computer-generated market predictions,…

Computational Finance · Quantitative Finance 2023-11-16 Reza Yarbakhsh , Mahdieh Soleymani Baghshah , Hamidreza Karimaghaie

The non-storability of electricity makes it unique among commodity assets, and it is an important driver of its price behaviour in secondary financial markets. The instantaneous and continuous matching of power supply with demand is a key…

Risk Management · Quantitative Finance 2019-04-04 Daniel Poh , Stephen Roberts , Martin Tegnér

We study the pricing and hedging of European spread options on correlated assets when, in contrast to the standard framework and consistent with imperfect liquidity markets, the trading in the stock market has a direct impact on stocks…

Computational Finance · Quantitative Finance 2021-01-05 Kevin Shuai Zhang , Traian Pirvu

We study the pricing of European-style options written on forward contracts within function-valued infinite-dimensional affine stochastic volatility models. The dynamics of the underlying forward price curves are modeled within the…

Mathematical Finance · Quantitative Finance 2026-04-14 Jian He , Sven Karbach , Asma Khedher

With the recent rise of Machine Learning as a candidate to partially replace classic Financial Mathematics methodologies, we investigate the performances of both in solving the problem of dynamic portfolio optimization in continuous-time,…

Portfolio Management · Quantitative Finance 2019-10-29 Babak Mahdavi-Damghani , Konul Mustafayeva , Stephen Roberts , Cristin Buescu

A Levy-driven Ornstein-Uhlenbeck process is proposed to model the evolution of the risk-free rate and default intensities for the purpose of evaluating option contracts on a credit index. Time evolution in credit markets is assumed to…

Pricing of Securities · Quantitative Finance 2023-11-01 Yoshihiro Shirai

We construct realistic spot and equity option market simulators for a single underlying on the basis of normalizing flows. We address the high-dimensionality of market observed call prices through an arbitrage-free autoencoder that…

Computational Finance · Quantitative Finance 2021-12-14 Magnus Wiese , Ben Wood , Alexandre Pachoud , Ralf Korn , Hans Buehler , Phillip Murray , Lianjun Bai

This paper deals with an optimal position management problem for a market maker who has to face uncertain customer order flows in an illiquid market, where the market maker's continuous trading incurs a stochastic linear price impact.…

Pricing of Securities · Quantitative Finance 2015-09-08 Masaaki Fujii

This paper addresses the question of how much to bid to maximize the profit when trading in two electricity markets: the hourly Day-Ahead Auction and the quarter-hourly Intraday Auction. For optimal coordinated bidding many price scenarios…

Statistical Finance · Quantitative Finance 2026-01-27 Michał Narajewski , Florian Ziel

Electricity markets are experiencing a rapid increase in energy storage unit participation. Unlike conventional generation resources, quantifying the competitive operation and identifying if a storage unit is exercising market power is…

Systems and Control · Electrical Eng. & Systems 2025-01-16 Yiqian Wu , Bolun Xu , James Anderson

In this paper, we consider option pricing in a framework of the fractional Heston-type model with $H>1/2$. As it is impossible to obtain an explicit formula for the expectation $\mathbb E f(S_T)$ in this case, where $S_T$ is the asset price…

Probability · Mathematics 2019-07-04 Yuliya Mishura , Anton Yurchenko-Tytarenko

The Wiener-Hopf factorization is obtained in closed form for a phase type approximation to the CGMY L\'{e}vy process. This allows, for the approximation, exact computation of first passage times to barrier levels via Laplace transform…

Pricing of Securities · Quantitative Finance 2008-12-02 Soeren Asmussen , Dilip Madan , Martijn Pistorius

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

We explore nature of price formation in financial markets and develop a theory of bid and ask price dynamics in which the two prices form due to quantum-chaotic interaction between buy and sell orders. In this model bid and ask prices are…

Trading and Market Microstructure · Quantitative Finance 2020-07-15 Jack Sarkissian

We price European and American exchange options where the underlying asset prices are modelled using a Merton (1976) jump-diffusion with a common Heston (1993) stochastic volatility process. Pricing is performed under an equivalent…

Mathematical Finance · Quantitative Finance 2020-02-25 Len Patrick Dominic M. Garces , Gerald H. L. Cheang

Consider the problem of a central bank that wants to manage the exchange rate between its domestic currency and a foreign one. The central bank can purchase and sell the foreign currency, and each intervention on the exchange market leads…

Optimization and Control · Mathematics 2017-12-07 Giorgio Ferrari , Tiziano Vargiolu

This paper presents the solution to a European option pricing problem by considering a regime-switching jump diffusion model of the underlying financial asset price dynamics. The regimes are assumed to be the results of an observed pure…

Pricing of Securities · Quantitative Finance 2019-10-21 Anindya Goswami , Omkar Manjarekar , Anjana R