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We consider the problem of finding a consistent upper price bound for exotic options whose payoff depends on the stock price at two different predetermined time points (e.g. Asian option), given a finite number of observed call prices for…

Mathematical Finance · Quantitative Finance 2021-07-21 Nicole Bäuerle , Daniel Schmithals

In this paper we analyse financial implications of exchangeability and similar properties of finite dimensional random vectors. We show how these properties are reflected in prices of some basket options in view of the well-known put-call…

Pricing of Securities · Quantitative Finance 2011-04-05 Ilya Molchanov , Michael Schmutz

We study indifference pricing of exotic derivatives by using hedging strategies that take static positions in quoted derivatives but trade the underlying and cash dynamically over time. We use real quotes that come with bid-ask spreads and…

Pricing of Securities · Quantitative Finance 2020-08-05 Teemu Pennanen , Udomsak Rakwongwan

In this article, we consider European options of type $h(X^1_T, X^2_T,\ldots, X^n_T)$ depending on several underlying assets. We study how such options can be valued in terms of simple vanilla options in non-specified market models. We…

Probability · Mathematics 2014-01-27 Jarno Talponen , Lauri Viitasaari

We investigate the relation between the fair price for European-style vanilla options and the distribution of short-term returns on the underlying asset ignoring transaction and other costs. We compute the risk-neutral probability density…

Physics and Society · Physics 2008-12-02 Martin Schaden

We consider an equity-linked contract whose payoff depends on the lifetime of policy holder and the stock price. We assume the limited capital for hedging and we provide with the best strategy for an insurance company in the meaning of so…

Risk Management · Quantitative Finance 2014-05-06 Klusik Przemyslaw

We study a notion of good-deal hedging, that corresponds to good-deal valuation for generalized good-deal constraints. Under model uncertainty about the market prices of risk of hedging assets, a robust approach leads to a reduction or even…

Mathematical Finance · Quantitative Finance 2019-06-27 Dirk Becherer , Klebert Kentia

This article presents a generic hybrid numerical method to price a wide range of options on one or several assets, as well as assets with stochastic drift or volatility. In particular for equity and interest rate hybrid with local…

Computational Finance · Quantitative Finance 2024-11-11 Olivier Deloire , Louis Roth

We propose and analyze a day-ahead reserve market model that handles bids from flexible loads. This pool market model takes into account the fact that a load modulation in one direction must usually be compensated later by a modulation of…

Computer Science and Game Theory · Computer Science 2014-05-28 Sébastien Mathieu , Quentin Louveaux , Damien Ernst , Bertrand Cornélusse

In this article, we consider a risky asset $X$ for which evolution follows a model proposed by D.G. Hobson and L.C.G. Rogers\cite{HR98}. We assume that the volatility of $X$ depends on the ratio of the present value and the exponentially…

Probability · Mathematics 2018-03-06 Narn-Rueih Shieh

We present a perturbation theory of the market impact based on an extension of the framework proposed by [Loeper, 2018] -- originally based on [Liu and Yong, 2005] -- in which we consider only local linear market impact. We study the…

Trading and Market Microstructure · Quantitative Finance 2019-11-05 Emilio Said

Straddle Option is a financial trading tool that explores volatility premiums in high-volatility markets without predicting price direction. Although deep reinforcement learning has emerged as a powerful approach to trading automation in…

General Finance · Quantitative Finance 2025-09-11 Yiran Wan , Xinyu Ying , Shengzhen Xu

Intra-day price spreads are of interest to electricity traders, storage and electric vehicle operators. This paper formulates dynamic density functions, based upon skewed-t and similar representations, to model and forecast the German…

Applications · Statistics 2020-02-26 Ekaterina Abramova , Derek Bunn

We examine market outcomes in energy transport networks with a focus on gas-fired generators, which are producers in a wholesale electricity market and consumers in the natural gas market. Market administrators monitor bids to determine…

Systems and Control · Electrical Eng. & Systems 2026-04-21 Noah Rhodes , Sachin Shivakumar , Luke S. Baker , Kaarthik Sundar , Anatoly Zlotnik

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

The question of pricing and hedging a given contingent claim has a unique solution in a complete market framework. When some incompleteness is introduced, the problem becomes however more difficult. Several approaches have been adopted in…

Probability · Mathematics 2007-08-08 Pauline Barrieu , Nicole El Karoui

I explicitly work out closed form solutions for the optimal hedging strategies (in the sense of Bouchaud and Sornette) in the case of European call options, where the underlying is modeled by (unbiased) iid additive returns with Student-t…

Statistical Mechanics · Physics 2009-10-31 K. Pinn

This paper presents a data-driven interpretable machine learning algorithm for semi-static hedging of Exchange Traded options, considering transaction costs with efficient run-time. Further, we provide empirical evidence on the performance…

Computational Finance · Quantitative Finance 2024-01-03 Vikranth Lokeshwar Dhandapani , Shashi Jain

We consider the superhedging price of an exotic option under nondominated model uncertainty in discrete time in which the option buyer chooses some action from an (uncountable) action space at each time step. By introducing an enlarged…

Mathematical Finance · Quantitative Finance 2023-11-03 Anna Aksamit , Ivan Guo , Shidan Liu , Zhou Zhou

A key issue in the estimation of energy hedges is the hedgers' attitude towards risk which is encapsulated in the form of the hedgers' utility function. However, the literature typically uses only one form of utility function such as the…

Risk Management · Quantitative Finance 2011-03-31 John Cotter , Jim Hanly