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We consider the super-hedging price of an American option in a discrete-time market in which stocks are available for dynamic trading and European options are available for static trading. We show that the super-hedging price $\pi$ is given…

Mathematical Finance · Quantitative Finance 2017-06-28 Erhan Bayraktar , Zhou Zhou

We consider a financial model with permanent price impact. Continuous time trading dynamics are derived as the limit of discrete rebalancing policies. We then study the problem of super-hedging a European option. Our main result is the…

Pricing of Securities · Quantitative Finance 2015-03-19 B. Bouchard , G. Loeper , Y. Zou

We propose a flexible framework for hedging a contingent claim by holding static positions in vanilla European calls, puts, bonds, and forwards. A model-free expression is derived for the optimal static hedging strategy that minimizes the…

Mathematical Finance · Quantitative Finance 2015-11-20 Tim Leung , Matthew Lorig

We develop a model for indifference pricing in derivatives markets where price quotes have bid-ask spreads and finite quantities. The model quantifies the dependence of the prices and hedging portfolios on an investor's beliefs, risk…

Pricing of Securities · Quantitative Finance 2018-03-08 John Armstrong , Teemu Pennanen , Udomsak Rakwongwan

This work focuses on the dynamic hedging of financial derivatives, where a reinforcement learning algorithm is designed to minimize the variance of the delta hedging process. In contrast to previous research in this area, we apply…

Optimization and Control · Mathematics 2023-06-21 Cong Zheng , Jiafa He , Can Yang

Duality for robust hedging with proportional transaction costs of path dependent European options is obtained in a discrete time financial market with one risky asset. Investor's portfolio consists of a dynamically traded stock and a static…

Portfolio Management · Quantitative Finance 2013-08-30 Yan Dolinsky , H. Mete Soner

Wholesale electricity market designs in practice do not provide the market participants with adequate mechanisms to hedge their financial risks. Demanders and suppliers will likely face even greater risks with the deepening penetration of…

Optimization and Control · Mathematics 2017-04-04 Khaled Alshehri , Subhonmesh Bose , Tamer Başar

Opportunities for stochastic arbitrage in an options market arise when it is possible to construct a portfolio of options which provides a positive option premium and which, when combined with a direct investment in the underlying asset,…

Computational Finance · Quantitative Finance 2025-01-23 Brendan K. Beare , Juwon Seo , Zhongxi Zheng

We consider the problem of option hedging in a market with proportional transaction costs. Since super-replication is very costly in such markets, we replace perfect hedging with an expected loss constraint. Asymptotic analysis for small…

Portfolio Management · Quantitative Finance 2014-09-12 Bruno Bouchard , Ludovic Moreau , Mete H. Soner

It is well known that any sufficiently regular one-dimensional payoff function has an explicit static hedge by bonds, forward contracts and lots of vanilla options. We show that the natural extension of the corresponding representation…

Risk Management · Quantitative Finance 2010-11-23 Michael Schmutz , Thomas Zürcher

In the classical model of stock prices which is assumed to be Geometric Brownian motion, the drift and the volatility of the prices are held constant. However, in reality, the volatility does vary. In quantitative finance, the Heston model…

Pricing of Securities · Quantitative Finance 2019-10-21 Arunangshu Biswas , Anindya Goswami , Ludger Overbeck

Wholesale electricity markets in many jurisdictions use a two-settlement structure: a day-ahead market for bulk power transactions and a real-time market for fine-grain supply-demand balancing. This paper explores trading demand response…

Systems and Control · Electrical Eng. & Systems 2024-09-23 Deepan Muthirayan , Dileep Kalathil , Sen Li , Kameshwar Poolla , Pravin Varaiya

Financial contracts with options that allow the holder to extend the contract maturity by paying an additional fixed amount found many applications in finance. Closed-form solutions for the price of these options have appeared in the…

Pricing of Securities · Quantitative Finance 2015-07-08 Pavel V. Shevchenko

In electricity markets, futures contracts typically function as a swap since they deliver the underlying over a period of time. In this paper, we introduce a market price for the delivery periods of electricity swaps, thereby opening an…

Pricing of Securities · Quantitative Finance 2022-06-13 Annika Kemper , Maren D. Schmeck , Anna Kh. Balci

Locational Marginal Price (LMP) is a dual variable associated with supply-demand matching and represents the cost of delivering power to a particular location if the load at that location increases. In recent times it become more volatile…

Optimization and Control · Mathematics 2018-11-07 Shantanu Chakraborty , Remco Verzijlbergh , Milos Cvetkovic , Kyri Baker , Zofia Lukszo

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

This paper introduces an information-based model for the pricing of storable commodities such as crude oil and natural gas. The model uses the concept of market information about future supply and demand as a basis for valuation. Physical…

Pricing of Securities · Quantitative Finance 2021-12-01 Dorje C. Brody , Lane P. Hughston , Xun Yang

In this paper we study the pricing of exchange options when underlying assets have stochastic volatility and stochastic correlation. An approximation using a closed-form approximation based on a Taylor expansion of the conditional price is…

Pricing of Securities · Quantitative Finance 2020-01-14 Enrique Villamor , Pablo Olivares

Semi-static trading strategies make frequent appearances in mathematical finance, where dynamic trading in a liquid asset is combined with static buy-and-hold positions in options on that asset. We show that the space of outcomes of such…

Mathematical Finance · Quantitative Finance 2016-06-03 Beatrice Acciaio , Martin Larsson , Walter Schachermayer

We propose a hedging approach for general contingent claims when liquidity is a concern and trading is subject to transaction cost. Multiple assets with different liquidity levels are available for hedging. Our risk criterion targets a…

Mathematical Finance · Quantitative Finance 2018-07-02 Panagiotis Christodoulou , Nils Detering , Thilo Meyer-Brandis