Optimal risk sharing in insurance networks

European Actuarial Journal - Tập 10 Số 1 - Trang 203-234 - 2020
Anna-Maria Hamm1, Thomas Knispel2, Stefan Weber2
1HDI Global SE, Geschäftsbereich Risikomanagement, HDI-Platz 1, 30659, Hannover, Germany
2Institut für Mathematische Stochastik and House of Insurance, Leibniz Universität Hannover, Welfengarten 1, 30167, Hannover, Germany

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Tài liệu tham khảo

Acciaio B (2005) Two Problems Related to Utility Theory Under Unusual Assumptions, PhD thesis, University of Perugia

Acciaio B (2007) Optimal risk sharing with non-monotone monetary functions. Financ Stoch 11(2):267–289

Artzner P, Delbaen F, Eber J-M, Heath D (1999) Coherent measures of risk. Math Financ 9(3):203–228

Asimit AV, Badescu AM, Tsanakas A (2013) Optimal risk transfers in insurance groups. Eur Actuar J 3(1):159–190

Barrieu P, El Karoui N (2005) Inf-convolution of risk measures and optimal risk transfer. Financ Stoch 9:269–298

Barrieu P, El Karoui N (2008) Pricing, hedging and optimally designing derivatives via minimization of risk measures. In: Carmona R (ed) Indifference pricing: theory and applications. Princeton University Press, Princeton

Boonen TJ (2015) Competitive equilibria with distortion risk measures. Astin Bull 45(3):703–728

Borch K (1962) Equilibrium in a reinsurance market. Econometrica 30:424–444

Cont R, Deguest R, Scandolo G (2010) Robustness and sensitivity analysis of risk measurement procedures. Quant Financ 10(6):593–606

Embrechts P, Liu H, Wang R (2018) Quantile-based risk sharing. Oper Res 66(4):936–949

European Commission (2009) Directive 2009/138/EC of the European Parliament and of the Council of 25 November 2009 on the taking-up and pursuit of the business of Insurance and Reinsurance (Solvency II), Directives, Official Journal of the European Commission

Filipovic D, Svindland G (2008) Optimal capital and risk allocations for law- and cash-invariant convex functions. Financ Stoch 12:423–439

Filipovic D, Kupper M (2008) Equilibrium prices for monetary utility functions. Int J Theor Appl Financ 11:325–343

Föllmer H, Schied A (2002) Convex measures of risk and trading constraints. Financ Stoch 6(4):429–447

Föllmer H, Schied A (2016) Stochastic finance—an introduction in discrete time, 4th edn. de Gruyter, Berlin

Föllmer H, Weber S (2015) The axiomatic approach to risk measurement for capital determination. Annu Rev Financ Econ 7:301–337

Galchion A (2010) The V@R at risk. Int J Theor Appl Financ 13(4):503–506

Jouini E, Schachermayer W, Touzi N (2008) Optimal risk sharing for law invariant monetary utility functions. Math Financ 18(2):269–292

Ludkovski M, Young V (2009) Optimal risk sharing under distorted probabilities. Math Financ Econ 2(2):87–105

Raviv A (1979) The design of an optimal insurance policy. Am Econ Rev 69(1):84–96

Weber S (2018) Solvency II, or how to sweep the downside risk under the carpet. Insur Math Econ 82:191–200

Wilson R (1968) The theory of syndicates. Econometrica 36:119–132