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 …

Fair dynamic valuation of insurance liabilities: Merging actuarial judgement with market-and time-consistency

K Barigou, Z Chen, J Dhaene - Insurance: Mathematics and Economics, 2019 - Elsevier
In this paper, we investigate the fair valuation of insurance liabilities in a dynamic multi-
period setting. We define a fair dynamic valuation as a valuation which is actuarial (mark-to …

Risk assessment for uncertain cash flows: Model ambiguity, discounting ambiguity, and the role of bubbles

B Acciaio, H Föllmer, I Penner - Finance and Stochastics, 2012 - Springer
We study the risk assessment of uncertain cash flows in terms of dynamic convex risk
measures for processes as introduced in Cheridito et al.(Electron. J. Probab. 11 (3): 57–106 …

Risk-minimisation in electricity markets: Fixed price, unknown consumption

M Tegnér, RR Ernstsen, A Skajaa, R Poulsen - Energy Economics, 2017 - Elsevier
This paper analyses risk management of fixed price, unspecified consumption contracts in
energy markets. We model the joint dynamics of the spot-price and the consumption of …

Decision rule approximations for the risk averse reservoir management problem

C Gauvin, E Delage, M Gendreau - European Journal of Operational …, 2017 - Elsevier
This paper presents a new formulation for the risk averse stochastic reservoir management
problem. Using recent advances in robust optimization and stochastic programming, we …

Dynamic coherent acceptability indices and their applications to finance

TR Bielecki, I Cialenco, Z Zhang - Mathematical Finance, 2014 - Wiley Online Library
In this paper, we present a theoretical framework for studying coherent acceptability indices
(CAIs) in a dynamic setup. We study dynamic CAIs (DCAIs) and dynamic coherent risk …

Fair dynamic valuation of insurance liabilities: a loss averse convex hedging approach

Z Chen, B Chen, J Dhaene - Scandinavian Actuarial Journal, 2020 - Taylor & Francis
Hedging techniques have been widely adopted in market-consistent or fair valuation
approach required by recent solvency regulations, to take into account the market prices of …

Time consistency for scalar multivariate risk measures

Z Feinstein, B Rudloff - Statistics & Risk Modeling, 2022 - degruyter.com
In this paper we present results on dynamic multivariate scalar risk measures, which arise in
markets with transaction costs and systemic risk. Dual representations of such risk measures …