Entropic value-at-risk: A new coherent risk measure

A Ahmadi-Javid - Journal of Optimization Theory and Applications, 2012 - Springer
This paper introduces the concept of entropic value-at-risk (EVaR), a new coherent risk
measure that corresponds to the tightest possible upper bound obtained from the Chernoff …

Financial modeling, actuarial valuation and solvency in insurance

MV Wüthrich, M Merz - 2013 - Springer
In the past few decades the financial industry has experienced several economic cycles.
There were periods of rapid economic growth interspersed with periods of economic …

Conditionally elicitable dynamic risk measures for deep reinforcement learning

A Coache, S Jaimungal, Á Cartea - SIAM Journal on Financial Mathematics, 2023 - SIAM
We propose a novel framework to solve risk-sensitive reinforcement learning problems
where the agent optimizes time-consistent dynamic spectral risk measures. Based on the …

Reinforcement learning with dynamic convex risk measures

A Coache, S Jaimungal - Mathematical Finance, 2024 - Wiley Online Library
We develop an approach for solving time‐consistent risk‐sensitive stochastic optimization
problems using model‐free reinforcement learning (RL). Specifically, we assume agents …

Markov decision processes with recursive risk measures

N Bäuerle, A Glauner - European Journal of Operational Research, 2022 - Elsevier
In this paper, we consider risk-sensitive Markov Decision Processes (MDPs) with Borel state
and action spaces and unbounded cost. We treat both finite and infinite planning horizons …

Time consistency of dynamic risk measures and dynamic performance measures generated by distortion functions

TR Bielecki, I Cialenco, H Liu - Stochastic Models, 2024 - Taylor & Francis
The aim of this work is to study risk measures generated by distortion functions in a dynamic
discrete time setup and to investigate the corresponding dynamic coherent acceptability …

Multivariate risk measures: a constructive approach based on selections

I Molchanov, I Cascos - Mathematical Finance, 2016 - Wiley Online Library
Since risky positions in multivariate portfolios can be offset by various choices of capital
requirements that depend on the exchange rules and related transaction costs, it is natural …

Uncertainty propagation and dynamic robust risk measures

MR Moresco, M Mailhot… - … of Operations Research, 2024 - pubsonline.informs.org
We introduce a framework for quantifying propagation of uncertainty arising in a dynamic
setting. Specifically, we define dynamic uncertainty sets designed explicitly for discrete …

Discrete-time mean-CVaR portfolio selection and time-consistency induced term structure of the CVaR

MS Strub, D Li, X Cui, J Gao - Journal of Economic Dynamics and Control, 2019 - Elsevier
We investigate a discrete-time mean-risk portfolio selection problem, where risk is measured
by the conditional value-at-risk (CVaR). A substantial challenge is the combination of a time …

Risk-averse approximate dynamic programming with quantile-based risk measures

DR Jiang, WB Powell - Mathematics of Operations Research, 2018 - pubsonline.informs.org
In this paper, we consider a finite-horizon Markov decision process (MDP) for which the
objective at each stage is to minimize a quantile-based risk measure (QBRM) of the …