activity
20122025
most citedConditional cores and conditional convex hulls of random sets

24 citations · 39 across the 10 of their papers we have counts for

collaborators

12 papers

q-fin.MF2025

Explicit Recursive Construction of Super-Replication Prices under Proportional Transaction Costs

Emmanuel Lepinette, Amal Omrani

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…

q-fin.PR2024★ 4 cited

No-arbitrage conditions and pricing from discrete-time to continuous-time strategies

Dorsaf Cherif, Emmanuel Lepinette

In this paper, a general framework is developed for continuous-time financial market models defined from simple strategies through conditional topologies that avoid stochastic calc…

q-fin.RM2024★ 2 cited

Coherent Risk Measure on : NA Condition, Pricing and Dual Representation

Emmanuel Lepinette, Duc Thinh Vu

The NA condition is one of the pillars supporting the classical theory of financial mathematics. We revisit this condition for financial market models where a dynamic risk-measure…

math.PR2024★ 3 cited

Dynamic programming principle and computable prices in financial market models with transaction costs

Emmanuel Lepinette, Duc Thinh Vu

How to compute (super) hedging costs in rather general fi- nancial market models with transaction costs in discrete-time ? Despite the huge literature on this topic, most of result…

q-fin.MF2024

Super-hedging-pricing formulas and Immediate-Profit arbitrage for market models under random horizon

Tahir Choulli, Emmanuel Lepinette

In this paper, we consider the discrete-time setting, and the market model described by (S,F,T)$. Herein F is the ``public" flow of information which is available to all agents ove…

q-fin.PR2023

A short note on super-hedging an arbitrary number of European options with integer-valued strategies

Dorsaf Cherif, Meriam El Mansour, Emmanuel Lepinette

The usual theory of asset pricing in finance assumes that the financial strategies, i.e. the quantity of risky assets to invest, are real-valued so that they are not integer-valued…

q-fin.PR2023

Robust discrete-time super-hedging strategies under AIP condition and under price uncertainty

Meriam El Mansour, Emmanuel Lepinette

We solve the problem of super-hedging European or Asian options for discrete-time financial market models where executable prices are uncertain. The risky asset prices are not desc…

math.PR2017★ 24 cited

Conditional cores and conditional convex hulls of random sets

Emmanuel Lepinette, Ilya Molchanov

We define two non-linear operations with random (not necessarily closed) sets in Banach space: the conditional core and the conditional convex hull. While the first is sublinear, t…

q-fin.MF2016★ 5 cited

Risk Arbitrage and Hedging to Acceptability under Transaction Costs

Emmanuel Lepinette, Ilya Molchanov

The classical discrete time model of proportional transaction costs relies on the assumption that a feasible portfolio process has solvent increments at each step. We extend this s…

math.OC2015

Consumption-Investment Problem with Transaction Costs for Lévy-Driven Price Processes

Dimitri De Vallière, Yuri Kabanov, Emmanuel Lépinette

We consider an optimal control problem for a linear stochastic integro-diffe\-rential equation with conic constraints on the phase variable and the control of singular-regular type…

q-fin.PR2013

Robust no-free lunch with vanishing risk, a continuum of assets and proportional transaction costs

Bruno Bouchard, Emmanuel Lepinette, Erik Taflin

We propose a continuous time model for financial markets with proportional transactions costs and a continuum of risky assets. This is motivated by bond markets in which the contin…

q-fin.PR2012★ 1 cited

Large Financial Markets and Asymptotic Arbitrage with Small Transaction Costs

Irene Klein, Emmanuel Lepinette, Lavinia Ostafe

We give characterizations of asymptotic arbitrage of the first and second kind and of strong asymptotic arbitrage for large financial markets with small proportional transaction co…