A stochastic control approach to no-arbitrage bounds given marginals, with an application to lookback options

A Galichon, P Henry-Labordere, N Touzi - 2014 - projecteuclid.org
We consider the problem of superhedging under volatility uncertainty for an investor allowed
to dynamically trade the underlying asset, and statically trade European call options for all …

[图书][B] Backward stochastic differential equations

J Zhang, J Zhang - 2017 - Springer
Backward Stochastic Differential Equations | SpringerLink Skip to main content Advertisement
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Dynamic programming approach to principal–agent problems

J Cvitanić, D Possamaï, N Touzi - Finance and Stochastics, 2018 - Springer
We consider a general formulation of the principal–agent problem with a lump-sum payment
on a finite horizon, providing a systematic method for solving such problems. Our approach …

Moral hazard in dynamic risk management

J Cvitanić, D Possamaï, N Touzi - Management Science, 2017 - pubsonline.informs.org
We consider a contracting problem in which a principal hires an agent to manage a risky
project. When the agent chooses volatility components of the output process and the …

Robust Markowitz mean‐variance portfolio selection under ambiguous covariance matrix

A Ismail, H Pham - Mathematical Finance, 2019 - Wiley Online Library
This paper studies a robust continuous‐time Markowitz portfolio selection problem where
the model uncertainty affects the covariance matrix of multiple risky assets. This problem is …

Robust fundamental theorem for continuous processes

S Biagini, B Bouchard, C Kardaras… - Mathematical …, 2017 - Wiley Online Library
We study a continuous‐time financial market with continuous price processes under model
uncertainty, modeled via a family of possible physical measures. A robust notion of no …

Me, myself and I: a general theory of non-Markovian time-inconsistent stochastic control for sophisticated agents

C Hernández, D Possamaï - The Annals of Applied Probability, 2023 - projecteuclid.org
We develop a theory for continuous-time non-Markovian stochastic control problems which
are inherently time-inconsistent. Their distinguishing feature is that the classical Bellman …

Superreplication under volatility uncertainty for measurable claims

A Neufeld, M Nutz - 2013 - projecteuclid.org
Electron. J. Probab. 18 (2013), no. 48, DOI: 10.1214/EJP.v18-2358 Page 1 E lectro n i c J o u r
nal o f P r o b ability Electron. J. Probab. 18 (2013), no. 48, 1–14. ISSN: 1083-6489 DOI …

[图书][B] Model-free hedging: A martingale optimal transport viewpoint

P Henry-Labordère - 2017 - taylorfrancis.com
Model-free Hedging: A Martingale Optimal Transport Viewpoint focuses on the computation
of model-independent bounds for exotic options consistent with market prices of liquid …

Stochastic control for a class of nonlinear kernels and applications

D Possamaï, X Tan, C Zhou - The Annals of Probability, 2018 - JSTOR
We consider a stochastic control problem for a class of nonlinear kernels. More precisely,
our problem of interest consists in the optimization, over a set of possibly nondominated …