Risk sharing for capital requirements with multidimensional security markets
DOI10.1007/s00780-019-00402-6zbMath1430.91032arXiv1809.10015OpenAlexW3125962284MaRDI QIDQ2274226
Gregor Svindland, Felix-Benedikt Liebrich
Publication date: 19 September 2019
Published in: Finance and Stochastics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1809.10015
equilibriacapital requirementslaw-invariant acceptance setsmultidimensional security spacesPareto-optimal risk allocationspolyhedral acceptance setsrobustness of optimal allocations
Statistical methods; risk measures (91G70) Derivative securities (option pricing, hedging, etc.) (91G20) Portfolio theory (91G10) Risk models (general) (91B05)
Related Items (5)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Beyond cash-additive risk measures: when changing the numéraire fails
- Comonotone Pareto optimal allocations for law invariant robust utilities on \(L^1\)
- Short note on inf-convolution preserving the Fatou property
- Capital requirements with defaultable securities
- Optimal capital and risk allocations for law- and cash-invariant convex functions
- To split or not to split: Capital allocation with convex risk measures
- Optimal risk sharing with different reference probabilities
- Pareto solutions of polyhedral-valued vector optimization problems in Banach spaces
- On the different notions of arbitrage and existence of equilibrium
- Arbitrage, duality and asset equilibria
- Model spaces for risk measures
- Fatou property, representations, and extensions of law-invariant risk measures on general Orlicz spaces
- Continuity properties of law-invariant (quasi-)convex risk functions on \(L^{\infty}\)
- Measuring risk with multiple eligible assets
- The strong Fatou property of risk measures
- Inf-convolution of risk measures and optimal risk transfer
- The natural Banach space for version independent risk measures
- Coherent Measures of Risk
- RISK MEASURES ON ORLICZ HEARTS
- DYNAMIC INDIFFERENCE VALUATION VIA CONVEX RISK MEASURES
- EQUILIBRIUM PRICES FOR MONETARY UTILITY FUNCTIONS
- Subgradients of law-invariant convex risk measures on L1
- CASH SUBADDITIVE RISK MEASURES AND INTEREST RATE AMBIGUITY
- Duality Formulas for Robust Pricing and Hedging in Discrete Time
- Quantile-Based Risk Sharing
- Regulatory arbitrage of risk measures
- Existence, uniqueness, and stability of optimal payoffs of eligible assets
- OPTIMAL RISK SHARING FOR LAW INVARIANT MONETARY UTILITY FUNCTIONS
- A New Proof that Metric Spaces are Paracompact
- Convex Analysis
- Equilibrium in a Reinsurance Market
- Stochastic finance. An introduction in discrete time
This page was built for publication: Risk sharing for capital requirements with multidimensional security markets