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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…

数理金融 · 定量金融 2015-06-08 Peter Bank , Yan Dolinsky , Selim Gökay

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…

数理金融 · 定量金融 2018-10-16 Peter Bank , Yan Dolinsky

We study super-replication of contingent claims in markets with delayed filtration. The first result in this paper reveals that in the Black--Scholes model with constant delay the super-replication price is prohibitively costly and leads to…

数理金融 · 定量金融 2018-12-24 Yan Dolinsky , Jonathan Zouari

We study superreplication of European contingent claims in discrete time in a large trader model with market indifference prices recently proposed by Bank and Kramkov. We introduce a suitable notion of efficient friction in this framework,…

证券定价 · 定量金融 2013-10-14 Peter Bank , Selim Gökay

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…

证券定价 · 定量金融 2014-02-18 Marcel Nutz

In an incomplete market the price of a claim f in general cannot be uniquely identified by no arbitrage arguments. However, the ``classical'' super replication price is a sensible indicator of the (maximum selling) value of the claim. When…

概率论 · 数学 2008-12-02 Sara Biagini , Marco Frittelli

An investor's risk aversion is assumed to tend to infinity. In a fairly general setting, we present conditions ensuring that the respective utility indifference prices of a given contingent claim converge to its super replication price.

概率论 · 数学 2009-04-10 Laurence Carassus , Miklos Rasonyi

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…

概率论 · 数学 2007-05-23 Imen Bentahar , Bruno Bouchard

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…

数理金融 · 定量金融 2020-10-05 Romain Blanchard , Laurence Carassus

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…

数理金融 · 定量金融 2025-11-06 Emmanuel Lepinette , Amal Omrani

We formulate a superhedging theorem in the presence of transaction costs and model uncertainty. Asset prices are assumed continuous and uncertainty is modelled in a parametric setting. Our proof relies on a new topological framework in…

数理金融 · 定量金融 2021-02-05 Huy N. Chau , Masaaki Fukasawa , Miklos Rasonyi

In the context of a general semimartingale model of a complete market, we aim at answering the following question: How much is an investor willing to pay for learning some inside information that allows to achieve arbitrage? If such a value…

数理金融 · 定量金融 2020-04-28 Huy N. Chau , Andrea Cosso , Claudio Fontana

We study the problem of super-replication for game options under proportional transaction costs. We consider a multidimensional continuous time model, in which the discounted stock price process satisfies the conditional full support…

投资组合管理 · 定量金融 2012-03-12 Yan Dolinsky

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…

证券定价 · 定量金融 2019-05-20 Peter Bank , Yan Dolinsky

This paper deals with the super-replication of non path-dependent European claims under additional convex constraints on the number of shares held in the portfolio. The corresponding super-replication price of a given claim has been widely…

证券定价 · 定量金融 2013-07-24 Jean-François Chassagneux , Romuald Elie , Idris Kharroubi

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…

数理金融 · 定量金融 2015-09-04 Matthew Lorig

We consider infinite dimensional optimization problems motivated by the financial model called Arbitrage Pricing Theory. Using probabilistic and functional analytic tools, we provide a dual characterization of the super-replication cost.…

综合经济学 · 经济学 2020-10-05 Laurence Carassus , Miklos Rasonyi

We consider a market of risky financial assets whose participants are an informed trader, a representative uninformed trader, and noisy liquidity providers. We prove the existence of a market-clearing equilibrium when the insider…

交易与市场微观结构 · 定量金融 2025-04-02 Michail Anthropelos , Scott Robertson

In financial markets valuable information is rarely circulated homogeneously, because of time required for information to spread. However, advances in communication technology means that the 'lifetime' of important information is typically…

证券定价 · 定量金融 2011-08-05 Dorje C. Brody , Yan Tai Law

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…

概率论 · 数学 2015-10-16 Peter Bank , Yan Dolinsky , Ari-Pekka Perkkiö
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