Extending dynamic convex risk measures from discrete time to continuous time: a convergence approach
From MaRDI portal
Publication:661265
DOI10.1016/j.insmatheco.2010.08.005zbMath1231.91240OpenAlexW2116664829MaRDI QIDQ661265
Publication date: 10 February 2012
Published in: Insurance Mathematics \& Economics (Search for Journal in Brave)
Full work available at URL: https://research.tue.nl/nl/publications/fac41c32-32cc-4016-ae42-50e308aa260c
discretizationconvergence\(g\)-expectationtime-consistencydynamic convex risk measuresspecial drivers
Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Stochastic models in economics (91B70) (L^p)-limit theorems (60F25)
Related Items
Quantification of risk in classical models of finance ⋮ Time-Coherent Risk Measures for Continuous-Time Markov Chains ⋮ On dynamic spectral risk measures, a limit theorem and optimal portfolio allocation ⋮ Maximum principle for stochastic optimal control problem of forward–backward stochastic difference systems ⋮ Maximum principle for stochastic optimal control problem of finite state forward‐backward stochastic difference systems ⋮ Time-consistent actuarial valuations ⋮ FAIR VALUATION OF INSURANCE LIABILITY CASH-FLOW STREAMS IN CONTINUOUS TIME: APPLICATIONS ⋮ TENOR SPECIFIC PRICING ⋮ TIME‐CONSISTENT AND MARKET‐CONSISTENT EVALUATIONS ⋮ MULTIDIMENSIONAL DYNAMIC RISK MEASURE VIA CONDITIONAL g‐EXPECTATION ⋮ Fair valuation of insurance liability cash-flow streams in continuous time: theory ⋮ Set-valued risk measures as backward stochastic difference inclusions and equations ⋮ A survey of time consistency of dynamic risk measures and dynamic performance measures in discrete time: LM-measure perspective ⋮ Continuous-time limits of multi-period cost-of-capital margins ⋮ FROM SMILE ASYMPTOTICS TO MARKET RISK MEASURES ⋮ Time-consistent and market-consistent actuarial valuation of the participating pension contract ⋮ A Dual Method For Evaluation of Dynamic Risk in Diffusion Processes
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Adapted solution of a backward stochastic differential equation
- Convexity bounds for BSDE solutions, with applications to indifference valuation
- Dynamic monetary risk measures for bounded discrete-time processes
- Dynamic risk measures: Time consistency and risk measures from BMO martingales
- Representation theorems for quadratic \(\mathcal F\)-consistent nonlinear expectations
- Some new classes of consistent risk measures
- Time consistency conditions for acceptability measures, with an application to tail value at risk
- On convex principles of premium calculation
- Continuous exponential martingales and BMO
- Axiomatic characterization of insurance prices
- Risk measures and insurance premium principles.
- Recursive multiple-priors.
- Convex measures of risk and trading constraints
- On the robustness of backward stochastic differential equations.
- Filtration-consistent nonlinear expectations and related \(g\)-expectations
- Backward stochastic differential equations and partial differential equations with quadratic growth.
- Representation results for law invariant time consistent functions
- Convexity, translation invariance and subadditivity for \(g\)-expectations and related risk measures
- Coherent multiperiod risk adjusted values and Bellman's principle
- A comonotonic image of independence for additive risk measures
- Dynamic coherent risk measures
- Conditional and dynamic convex risk measures
- Generalized deviations in risk analysis
- Dynamic variational preferences
- Risk measures via \(g\)-expectations
- Coherent Measures of Risk
- Equilibrium Pricing in Incomplete Markets Under Translation Invariant Preferences
- COMPOSITION OF TIME-CONSISTENT DYNAMIC MONETARY RISK MEASURES IN DISCRETE TIME
- PORTFOLIO SELECTION WITH MONOTONE MEAN-VARIANCE PREFERENCES
- Convex risk measures and the dynamics of their penalty functions
- VALUATIONS AND DYNAMIC CONVEX RISK MEASURES
- DYNAMIC INDIFFERENCE VALUATION VIA CONVEX RISK MEASURES
- Stochastic Differential Utility
- A Unified Approach to Generate Risk Measures
- Optimization of Convex Risk Functions
- Conditional Risk Mappings
- OPTIMAL RISK SHARING FOR LAW INVARIANT MONETARY UTILITY FUNCTIONS
- Ambiguity, Risk, and Asset Returns in Continuous Time
- COHERENT ACCEPTABILITY MEASURES IN MULTIPERIOD MODELS
- Stochastic finance. An introduction in discrete time