The Wasserstein space of stochastic processes

D Bartl, M Beiglböck, G Pammer - arXiv preprint arXiv:2104.14245, 2021 - arxiv.org
Wasserstein distance induces a natural Riemannian structure for the probabilities on the
Euclidean space. This insight of classical transport theory is fundamental for tremendous …

The robust superreplication problem: a dynamic approach

L Carassus, J Obłój, J Wiesel - SIAM Journal on Financial Mathematics, 2019 - SIAM
In the frictionless discrete time financial market of Bouchard and Nutz Ann. Appl. Probab., 25
(2015), pp. 823--859 we consider a trader who is required to hedge ξ in a risk-conservative …

Pricing interest rate derivatives under volatility uncertainty

J Hölzermann - Annals of Operations Research, 2024 - Springer
In this paper, we study the pricing of contracts in fixed income markets under volatility
uncertainty in the sense of Knightian uncertainty or model uncertainty. The starting point is …

No-arbitrage with multiple-priors in discrete time

R Blanchard, L Carassus - Stochastic Processes and their Applications, 2020 - Elsevier
In a discrete time and multiple-priors setting, we propose a new characterisation of the
condition of quasi-sure no-arbitrage which has become a standard assumption. We show …

The Hull–White model under volatility uncertainty

J Hölzermann - Quantitative Finance, 2021 - Taylor & Francis
We study the Hull–White model for the term structure of interest rates in the presence of
volatility uncertainty. The uncertainty about the volatility is represented by a set of beliefs …

Robust framework for quantifying the value of information in pricing and hedging

A Aksamit, Z Hou, J Obłój - SIAM Journal on Financial Mathematics, 2020 - SIAM
We investigate asymmetry of information in the context of the robust approach to pricing and
hedging of financial derivatives. We consider two agents, one who only observes the stock …

Robust bounds for the American put

D Hobson, D Norgilas - Finance and Stochastics, 2019 - Springer
We consider the problem of finding a model-free upper bound on the price of an American
put given the prices of a family of European puts on the same underlying asset. Specifically …

A guaranteed deterministic approach to superhedging—the case of convex payoff functions on options

S Smirnov - Mathematics, 2019 - mdpi.com
This paper considers super-replication in a guaranteed deterministic problem setting with
discrete time. The aim of hedging a contingent claim is to ensure the coverage of possible …

[HTML][HTML] A multi-marginal c-convex duality theorem for martingale optimal transport

J Sester - Statistics & Probability Letters, 2024 - Elsevier
A multi-marginal c-convex duality theorem for martingale optimal transport - ScienceDirect Skip
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Model-free price bounds under dynamic option trading

A Neufeld, J Sester - SIAM Journal on Financial Mathematics, 2021 - SIAM
In this paper we extend discrete time semistatic trading strategies by also allowing for
dynamic trading in a finite amount of options, and we study the consequences for the model …