The Wasserstein space of stochastic processes
Wasserstein distance induces a natural Riemannian structure for the probabilities on the
Euclidean space. This insight of classical transport theory is fundamental for tremendous …
Euclidean space. This insight of classical transport theory is fundamental for tremendous …
The robust superreplication problem: a dynamic approach
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 …
(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 …
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 …
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 …
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
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 …
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 …
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 …
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
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 …
dynamic trading in a finite amount of options, and we study the consequences for the model …