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We continue the analysis of our previous paper (Czichowsky/Schachermayer/Yang 2014) pertaining to the existence of a shadow price process for portfolio optimisation under proportional transaction costs. There, we established a positive…

数理金融 · 定量金融 2016-08-05 Christoph Czichowsky , Rémi Peyre , Walter Schachermayer , Junjian Yang

We consider a financial market where stocks are available for dynamic trading, and European and American options are available for static trading (semi-static trading strategies). We assume that the American options are infinitely…

数理金融 · 定量金融 2016-02-09 Erhan Bayraktar , Zhou Zhou

This paper studies the equal risk pricing (ERP) framework for the valuation of European financial derivatives. This option pricing approach is consistent with global trading strategies by setting the premium as the value such that the…

计算金融 · 定量金融 2021-02-26 Alexandre Carbonneau , Frédéric Godin

We consider the problem of utility maximization with exponential preferences in a market where the traded stock/risky asset price is modelled as a L\'evy-driven pure jump process (i.e. the driving L\'evy process has no Brownian component).…

概率论 · 数学 2016-02-02 Carla Mereu , Robert Stelzer

We investigate the optimal reinsurance problem under the criterion of maximizing the expected utility of terminal wealth when the insurance company has restricted information on the loss process. We propose a risk model with claim arrival…

数理金融 · 定量金融 2020-05-15 Matteo Brachetta , Claudia Ceci

In this paper, we argue that, once the costs of maintaining the hedging portfolio are properly taken into account, semi-static portfolios should more properly be thought of as separate classes of derivatives, with non-trivial,…

计算金融 · 定量金融 2019-02-11 Svetlana Boyarchenko , Sergei Levendorskii

This work presents an asset pricing model that under rational expectation equilibrium perspective shows how, depending on risk aversion and noise volatility, a risky-asset has one equilibrium price that differs in term of efficiency: an…

综合金融 · 定量金融 2014-09-18 Matteo Formenti

We study the problem of optimally managing an inventory with unknown demand trend. Our formulation leads to a stochastic control problem under partial observation, in which a Brownian motion with non-observable drift can be singularly…

最优化与控制 · 数学 2022-11-28 Salvatore Federico , Giorgio Ferrari , Neofytos Rodosthenous

This paper examines a semi-analytical approach for pricing American options in time-inhomogeneous models characterized by negative interest rates (for equity/FX) or negative convenience yields (for commodities/cryptocurrencies). Under such…

证券定价 · 定量金融 2025-07-22 Andrey Itkin , Yerkin Kitapbayev

This paper examines the valuation and hedging of standard equity protection swap (EPS) products proposed by Xu et al.. To account for financial crises and counterparty default risk, we develop pricing frameworks based on Merton's…

数理金融 · 定量金融 2026-05-26 Marek Rutkowski , Huansang Xu

Dealers in foreign exchange markets provide bid and ask prices to their clients at which they are happy to buy and sell, respectively. To manage risk, dealers can skew their quotes and hedge in the interbank market. Hedging offers certainty…

交易与市场微观结构 · 定量金融 2026-01-21 Alexander Barzykin

In the frictionless discrete time financial market of Bouchard et al.(2015) we consider a trader who, due to regulatory requirements or internal risk management reasons, is required to hedge a claim $\xi$ in a risk-conservative way relative…

数理金融 · 定量金融 2019-02-19 Laurence Carassus , Jan Obloj , Johannes Wiesel

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…

概率论 · 数学 2015-12-23 B Bouchard , G Loeper , Y Zou

In this work, we address the optimal retirement problem in the presence of a stochastic wage, formulated as a free boundary problem. Specifically, we explore an incomplete market setting where the wage cannot be perfectly hedged through…

数理金融 · 定量金融 2025-03-04 Daniele Marazzina

In Electricity markets, illiquidity, transaction costs and market price characteristics prevent managers to replicate exactly contracts. A residual risk is always present and the hedging strategy depends on a risk criterion chosen. We…

计算金融 · 定量金融 2018-08-29 Xavier Warin

In this paper, we study the mean-variance portfolio selection problem under partial information with drift uncertainty. First we show that the market model is complete even in this case while the information is not complete and the drift is…

投资组合管理 · 定量金融 2020-10-27 Jie Xiong , Zuo quan Xu , Jiayu Zheng

This paper develops a new methodology for studying continuous-time Nash equilibrium in a financial market with asymmetrically informed agents. This approach allows us to lift the restriction of risk neutrality imposed on market makers by…

概率论 · 数学 2016-09-05 Umut Çetin , Albina Danilova

In the paper we develop mathematical tools of quantile hedging in incomplete market. Those could be used for two significant applications: o calculating the \textbf{optimal capital requirement imposed by Solvency II} (Directive 2009/138/EC…

风险管理 · 定量金融 2016-03-27 Przemysław Klusik

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…

数理金融 · 定量金融 2026-04-14 Jian He , Sven Karbach , Asma Khedher

American options are studied in a general discrete market in the presence of proportional transaction costs, modelled as bid-ask spreads. Pricing algorithms and constructions of hedging strategies, stopping times and martingale…

证券定价 · 定量金融 2008-12-02 Alet Roux , Tomasz Zastawniak
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