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We study super--replication of contingent claims in markets with fixed transaction costs. This can be viewed as a stochastic impulse control problem with a terminal state constraint. The first result in this paper reveals that in reasonable…

Mathematical Finance · Quantitative Finance 2018-10-16 Peter Bank , Yan Dolinsky

We prove limit theorems for the super-replication cost of European options in a Binomial model with friction. The examples covered are markets with proportional transaction costs and the illiquid markets. The dual representation for the…

Computational Finance · Quantitative Finance 2011-06-13 Yan Dolinsky , Halil Mete Soner

This paper formulates an utility indifference pricing model for investors trading in a discrete time financial market under non-dominated model uncertainty. The investors preferences are described by strictly increasing concave random…

Mathematical Finance · Quantitative Finance 2020-10-05 Romain Blanchard , Laurence Carassus

We prove the superhedging duality for a discrete-time financial market with proportional transaction costs under model uncertainty. Frictions are modeled through solvency cones as in the original model of [Kabanov, Y., Hedging and…

Mathematical Finance · Quantitative Finance 2019-09-19 Erhan Bayraktar , Matteo Burzoni

We consider a discrete time financial market with proportional transaction cost under model uncertainty, and study a super-replication problem. We recover the duality results that are well known in the classical dominated context. Our key…

Probability · Mathematics 2017-07-31 Bruno Bouchard , Shuoqing Deng , Xiaolu Tan

We study super-replication of contingent claims in an illiquid market with model uncertainty. Illiquidity is captured by nonlinear transaction costs in discrete time and model uncertainty arises as our only assumption on stock price returns…

Mathematical Finance · Quantitative Finance 2015-06-08 Peter Bank , Yan Dolinsky , Selim Gökay

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…

Mathematical Finance · Quantitative Finance 2019-02-19 Laurence Carassus , Jan Obloj , Johannes Wiesel

We study the superreplication of contingent claims under model uncertainty in discrete time. We show that optimal superreplicating strategies exist in a general measure-theoretic setting; moreover, we characterize the minimal…

Pricing of Securities · Quantitative Finance 2014-02-18 Marcel Nutz

We consider a multivariate financial market with transaction costs and study the problem of finding the minimal initial capital needed to hedge, without risk, European-type contingent claims. The model is similar to the one considered in…

Probability · Mathematics 2007-05-23 Imen Bentahar , Bruno Bouchard

We propose a constructive framework for the super-hedging problem of a European contingent claim under proportional transaction costs in discrete time. Our main contribution is an explicit recursive scheme that computes both the…

Mathematical Finance · Quantitative Finance 2025-11-06 Emmanuel Lepinette , Amal Omrani

Kusuoka [ Limit Theorem on Option Replication Cost with Transaction Costs, Ann. Appl. Probab. 5, 198--221, (1995).] showed how to obtain non-trivial scaling limits of superreplication prices in discrete-time models of a single risky asset…

Probability · Mathematics 2015-10-16 Peter Bank , Yan Dolinsky , Ari-Pekka Perkkiö

We study contingent claims in a discrete-time market model where trading costs are given by convex functions and portfolios are constrained by convex sets. In addition to classical frictionless markets and markets with transaction costs or…

Pricing of Securities · Quantitative Finance 2008-12-10 Teemu Pennanen

We provide a Fundamental Theorem of Asset Pricing and a Superhedging Theorem for a model independent discrete time financial market with proportional transaction costs. We consider a probability-free version of the Robust No Arbitrage…

Mathematical Finance · Quantitative Finance 2016-08-26 Matteo Burzoni

We establish a super-replication duality in a continuous-time financial model where an investor's trades adversely affect bid- and ask-prices for a risky asset and where market resilience drives the resulting spread back towards zero at an…

Pricing of Securities · Quantitative Finance 2019-05-20 Peter Bank , Yan Dolinsky

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

In markets with transaction costs, consistent price systems play the same role as martingale measures in frictionless markets. We prove that if a continuous price process has conditional full support, then it admits consistent price systems…

Pricing of Securities · Quantitative Finance 2008-12-18 Paolo Guasoni , Miklós Rásonyi , Walter Schachermayer

We consider a general local-stochastic volatility model and an investor with exponential utility. For a European-style contingent claim, whose payoff may depend on either a traded or non-traded asset, we derive an explicit approximation for…

Mathematical Finance · Quantitative Finance 2015-09-04 Matthew Lorig

We consider the problem of hedging a European contingent claim in a Bachelier model with transient price impact as proposed by Almgren and Chriss. Following the approach of Rogers and Singh and Naujokat and Westray, the hedging problem can…

Mathematical Finance · Quantitative Finance 2016-07-27 Peter Bank , Mete Soner , Moritz Voß

A standing assumption in the literature on proportional transaction costs is efficient friction. Together with robust no free lunch with vanishing risk, it rules out strategies of infinite variation, as they usually appear in frictionless…

Mathematical Finance · Quantitative Finance 2023-06-21 Christoph Kühn , Alexander Molitor

The paper studies sub and super-replication price bounds for contingent claims defined on general trajectory based market models. No prior probabilistic or topological assumptions are placed on the trajectory space, trading is assumed to…

Mathematical Finance · Quantitative Finance 2018-02-22 Ivan Degano , Sebastian Ferrando , Alfredo Gonzalez
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