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 …
the model uncertainty affects the covariance matrix of multiple risky assets. This problem is …
The robust Merton problem of an ambiguity averse investor
We derive a closed form portfolio optimization rule for an investor who is diffident about
mean return and volatility estimates, and has a CRRA utility. Confidence is here represented …
mean return and volatility estimates, and has a CRRA utility. Confidence is here represented …
Sensitivity of robust optimization problems under drift and volatility uncertainty
We examine optimization problems in which an investor has the opportunity to trade in $ d $
stocks with the goal of maximizing her worst-case cost of cumulative gains and losses. Here …
stocks with the goal of maximizing her worst-case cost of cumulative gains and losses. Here …
Optimal consumption and portfolio choice with ambiguous interest rates and volatility
We study continuous-time consumption and portfolio choice in the presence of Knightian
uncertainty about interest rates. We develop the stochastic model that involves singular …
uncertainty about interest rates. We develop the stochastic model that involves singular …
Exponential utility maximization under model uncertainty for unbounded endowments
D Bartl - The Annals of Applied Probability, 2019 - JSTOR
We consider the robust exponential utility maximization problem in discrete time: An investor
maximizes the worst case expected exponential utility with respect to a family of …
maximizes the worst case expected exponential utility with respect to a family of …
Robust Retirement with Return Ambiguity: Optimal -Stopping Time in Dual Space
Consider a robust retirement decision problem for a risk-and ambiguity-averse investor
concerned about return ambiguity in risky asset prices. When the investor aims to maximize …
concerned about return ambiguity in risky asset prices. When the investor aims to maximize …
[HTML][HTML] Robust expected utility maximization with medial limits
In this paper we study a robust expected utility maximization problem with random
endowment in discrete time. We give conditions under which an optimal strategy exists and …
endowment in discrete time. We give conditions under which an optimal strategy exists and …
Portfolio diversification and model uncertainty: A robust dynamic mean‐variance approach
This paper focuses on a dynamic multi‐asset mean‐variance portfolio selection problem
under model uncertainty. We develop a continuous time framework for taking into account …
under model uncertainty. We develop a continuous time framework for taking into account …
Robust SGLD algorithm for solving non-convex distributionally robust optimisation problems
In this paper we develop a Stochastic Gradient Langevin Dynamics (SGLD) algorithm
tailored for solving a certain class of non-convex distributionally robust optimisation …
tailored for solving a certain class of non-convex distributionally robust optimisation …
[HTML][HTML] Robust superhedging with jumps and diffusion
M Nutz - Stochastic Processes and their Applications, 2015 - Elsevier
We establish a nondominated version of the optional decomposition theorem in a setting
that includes jump processes with nonvanishing diffusion as well as general continuous …
that includes jump processes with nonvanishing diffusion as well as general continuous …