[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 …
of model-independent bounds for exotic options consistent with market prices of liquid …
Optimal control under stochastic target constraints
We study a class of Markovian optimal stochastic control problems in which the controlled
process Z^ν is constrained to satisfy an almost sure constraint Z^ν(T)∈G⊂R^d+1 P-as at …
process Z^ν is constrained to satisfy an almost sure constraint Z^ν(T)∈G⊂R^d+1 P-as at …
Optimal control of the Fokker-Planck equation under state constraints in the Wasserstein space
S Daudin - Journal de Mathématiques Pures et Appliquées, 2023 - Elsevier
We analyze a problem of optimal control of the Fokker-Planck equation with state constraints
in the Wasserstein space of probability measures. We give first-order necessary conditions …
in the Wasserstein space of probability measures. We give first-order necessary conditions …
The stochastic reach-avoid problem and set characterization for diffusions
In this article we approach a class of stochastic reachability problems with state constraints
from an optimal control perspective. Preceding approaches to solving these reachability …
from an optimal control perspective. Preceding approaches to solving these reachability …
Portfolio liquidation in dark pools in continuous time
P Kratz, T Schöneborn - Mathematical Finance, 2015 - Wiley Online Library
We consider an illiquid financial market where a risk averse investor has to liquidate a
portfolio within a finite time horizon [0, T] and can trade continuously at a traditional …
portfolio within a finite time horizon [0, T] and can trade continuously at a traditional …
Weak dynamic programming for generalized state constraints
B Bouchard, M Nutz - SIAM Journal on Control and Optimization, 2012 - SIAM
We provide a dynamic programming principle for stochastic optimal control problems with
expectation constraints. A weak formulation, using test functions and a probabilistic …
expectation constraints. A weak formulation, using test functions and a probabilistic …
Dynamic approaches for some time-inconsistent optimization problems
In this paper, we investigate possible approaches to study general time-inconsistent
optimization problems without assuming the existence of optimal strategy. This leads …
optimization problems without assuming the existence of optimal strategy. This leads …
A stochastic target problem for branching diffusion processes
I Kharroubi, A Ocello - Stochastic Processes and their Applications, 2024 - Elsevier
We consider an optimal stochastic target problem for branching diffusion processes. This
problem consists in finding the minimal condition for which a control allows the underlying …
problem consists in finding the minimal condition for which a control allows the underlying …
A review of optimal investment rules in electricity generation
R Aïd - Quantitative Energy Finance: Modeling, Pricing, and …, 2013 - Springer
This paper provides an introduction to optimal investment rules in electricity generation. It
attempts to bring together methods commonly used in practice to assess electricity …
attempts to bring together methods commonly used in practice to assess electricity …
Stochastic control/stopping problem with expectation constraints
E Bayraktar, S Yao - Stochastic Processes and their Applications, 2024 - Elsevier
We study a stochastic control/stopping problem with a series of inequality-type and equality-
type expectation constraints in a general non-Markovian framework. We demonstrate that …
type expectation constraints in a general non-Markovian framework. We demonstrate that …