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It is well-known that using delta hedging to hedge financial options is not feasible in practice. Traders often rely on discrete-time hedging strategies based on fixed trading times or fixed trading prices (i.e., trades only occur if the…

数理金融 · 定量金融 2024-02-06 Cheng Cai , Tiziano De Angelis , Jan Palczewski

We present a method of hedging Conditional Value at Risk of a position in stock using put options. The result leads to a linear programming problem that can be solved to optimise risk hedging.

风险管理 · 定量金融 2015-04-14 Maciej J. Capiński

In this article, we introduce an algorithm called Backward Hedging, designed for hedging European and American options while considering transaction costs. The optimal strategy is determined by minimizing an appropriate loss function, which…

计算金融 · 定量金融 2023-06-26 Ludovic Goudenège , Andrea Molent , Antonino Zanette

This article considers the pricing and hedging of a call option when liquidity matters, that is, either for a large nominal or for an illiquid underlying asset. In practice, as opposed to the classical assumptions of a price-taking agent in…

交易与市场微观结构 · 定量金融 2015-04-06 Olivier Guéant , Jiang Pu

Option pricing is an integral part of modern financial risk management. The well-known Black and Scholes (1973) formula is commonly used for this purpose. This paper is an attempt to extend their work to a situation in which the…

证券定价 · 定量金融 2013-04-18 Youssef El-Khatib , Abdulnasser Hatemi-J

Reducing financial risk is of paramount importance to investors, financial institutions, and corporations. Since the pioneering contribution of Johnson (1960), the optimal hedge ratio based on futures is regularly utilized. The current…

风险管理 · 定量金融 2024-08-02 Abdulnasser Hatemi-J

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…

统计理论 · 数学 2008-12-10 N. Josephy , L. Kimball , A. Nagaev , M. Pasniewski , V. Steblovskaya

We study the problem of option pricing and hedging strategies within the frame-work of risk-return arguments. An economic agent is described by a utility function that depends on profit (an expected value) and risk (a variance). In the…

统计力学 · 物理学 2008-12-02 Erik Aurell , Karol Życzkowski

Quadratic hedging of option payoffs generates the variance optimal martingale measure. When an option features an exercise policy and its cash flows are hedged according to this approach, it may be tempting to optimize such a policy under…

数理金融 · 定量金融 2022-05-26 Nicola Secomandi

Options are contingent claims regarding the value of underlying assets. The Black-Scholes formula provides a road map for pricing these options in a risk-neutral setting, justified by a delta hedging argument in which countervailing…

数理金融 · 定量金融 2026-05-26 Erina Nanyonga , Matt Davison

Goal-based investing is concerned with reaching a monetary investment goal by a given finite deadline, which differs from mean-variance optimization in modern portfolio theory. In this article, we expand the close connection between…

数理金融 · 定量金融 2021-11-01 Thomas Krabichler , Marcus Wunsch

Motivated by the asset-liability management of a nuclear power plant operator, we consider the problem of finding the least expensive portfolio, which outperforms a given set of stochastic benchmarks. For a specified loss function, the…

风险管理 · 定量金融 2013-09-23 Ying Jiao , Olivier Klopfenstein , Peter Tankov

This work initiates research into the problem of determining an optimal investment strategy for investors with different attitudes towards the trade-offs of risk and profit. The probability distribution of the return values of the stocks…

计算工程、金融与科学 · 计算机科学 2007-05-23 Ming-Yang Kao , Andreas Nolte , Stephen R. Tate

In recent decades, companies have frequently adopted share repurchase programs to return capital to shareholders or for other strategic purposes, instructing investment banks to rapidly buy back shares on their behalf. When the executing…

证券定价 · 定量金融 2026-01-27 Stefano Corti , Roberto Daluiso , Andrea Pallavicini

We consider hedging of a contingent claim by a 'semi-static' strategy composed of a dynamic position in one asset and static (buy-and-hold) positions in other assets. We give general representations of the optimal strategy and the hedging…

数理金融 · 定量金融 2017-09-19 Paolo Di Tella , Martin Haubold , Martin Keller-Ressel

This paper introduces a relative model risk measure of a product priced with a given model, with respect to another reference model for which the market is assumed to be driven. This measure allows comparing products valued with different…

风险管理 · 定量金融 2015-03-19 Alberto Elices , Eduard Giménez

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…

概率论 · 数学 2007-08-08 Pauline Barrieu , Nicole El Karoui

This paper studies correlations among independently administered hypothetical tests of a simple interactive type, and demonstrates that correlations arising in quantum information theoretic variants of these tests can exhibit a striking…

量子物理 · 物理学 2015-05-27 Abel Molina , John Watrous

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…

投资组合管理 · 定量金融 2014-09-12 Bruno Bouchard , Ludovic Moreau , Mete H. Soner

In this paper, we combine modern portfolio theory and option pricing theory so that a trader who takes a position in a European option contract and the underlying assets can construct an optimal portfolio such that at the moment of the…

数理金融 · 定量金融 2020-01-06 Abootaleb Shirvani , Frank J. Fabozzi , Stoyan V. Stoyanov
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