Optimal risk transfers in insurance groups

Acerbi C, Tasche D (2002) On the coherence of expected shortfall. J Bank Finance 26(7):1487–1503

Albrecher H, Thonhauser S (2009) Optimality results for dividend problems in insurance. RACSAM Rev R Acad Cien Ser A Mat 103(2):295–320

Arrow KJ (1963) Uncertainty and the welfare economics of medical care. Am Econ Rev 53(5):941–973

Artzner P, Delbaen F, Eber JM, Heath D (1999) Coherent measures of risk. Math Finance 9:203–228

Bernard C, Tian W (2010) Insurance market effects of risk management metrics. Geneva Risk Insur Rev 35:47–80

Borch K (1960) An attempt to determine the optimum amount of stop loss reinsurance. Trans 16th Int Cong Actuar I:597–610

Cai J, Tan KS, Weng C, Zhang Y (2008) Optimal reinsurance under VaR and CTE risk measures. Insur Math Econ 43(1):185–196

Carlier G, Dana R-A (2003) Pareto efficient insurance contracts when the insurer’s cost function is discontinuous. Econ Theory 21(4):871–893

Centeno ML, Guerra M (2010) The optimal reinsurance strategy—the individual claim case. Insur Math Econ 46(3):450–460

Cheung KC (2010) Optimal reinsurer revisited—a geometric approach. Astin Bull 40(1):221–239

Chi Y, Tan KS (2011) Optimal reinsurance under VaR and CVaR risk measures: a simplified approach. Astin Bull 42(1):487–509

Denuit M, Dhaene J, Goovaerts M, Kaas R (2005) Actuarial theory for dependent risks: measures, orders and models. Wiley, Chichester

Dowd K, Blake D (2006) After VaR: the theory, estimation, and insurance applications of quantile-based risk measures. J Risk Insur 73(2):193–229

Embrechts P, Hofert M (2010) A note on generalized inverses (Preprint).

EIOPA: (2011). “Equivalence Assessment of the Swiss Supervisory System in Relation to Articles 172, 227 and 260 of the Solvency II Directive", EIOPA-BoS-11-028. https://eiopa.europa.eu/consultations/consultation-papers/index.html .

EIOPA (2009) Advice for level 2 implementing measures on solvency II: supervision of risk concentration and intra-group transactions, CEIOPS-DOC-53/09. https://eiopa.europa.eu/consultations/consultation-papers/2010-2009-closed-consultations/index.html .

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). Off J Eur Union, L335.

Federal Office of Private Insurance: 2006. The Swiss experience with market consistent technical provisions—the cost of capital approach. http://www.finma.ch/archiv/bpv/e/themen/00506/00552/00727/index.html .

Filipović D, Kupper M (2008) Optimal capital and risk transfers for group diversification. Math Finance 18:55–76

Gatzert N, Schmeiser H (2011) On the risk situation of financial conglomerates: does diversification matter? Financial Mark Portfolio Manag 25:3–26

Guerra M, Centeno ML (2008) Optimal reinsurance policy: the adjustment coefficient and the expected utility criteria. Insur Math Econ 42(2):529–539

Guerra M, Centeno ML (2010) Optimal reinsurance for variance related premium calculation principles. Astin Bull 40(1):97–121

Van Heerwaarden AE, Kaas R, Goovaerts MJ (1989) Optimal reinsurer in the relation to ordering of risk. Insur Math Econ 8(1):11–17

Hipp C, Vogt M (2003) Optimal dynamic XL reinsurance. Astin Bull 33(2):193–207

Hürlimann V (2003) Conditional value-at-risk bounds for compound Poisson risks and a normal approximation. J Appl Math 3:141–153

Kaluszka M (2001) Optimal reinsurance under mean-variance premium principles. Insur Math Econ 28(1):61–67

Kaluszka M (2005) Truncated stop loss as optimal reinsurance agreement in one-period models. Astin Bull 35(2):337–349

Kaluszka M, Okolewski A (2008) An extension of Arrow’s result on optimal reinsurance contract. J Risk Insur 75(2):275–288

Keller P (2007) Group diversification. Geneva Pap 38:382–392

Landsberger M, Meilijson II (1994) Comonotone allocations, Bickel Lehmann dispersion and the Arrow–Pratt measure of risk aversion. Ann Oper Res 52:97–106

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

Myers SC, Read JA Jr (2001) Capital allocation for insurance companies. J Risk Insur 68(4):545–580

Phillips RD, Cummins JD, Allen F (1998) Financial pricing of insurance in the multiple-line insurance company. J Risk Insur 65(4):597–636

Schmidli H (2001) Optimal proportional reinsurance policies in a dynamic setting. Scand Actuar J 1:55–68

Schmidli H (2002) On minimizing the ruin probability by investment and reinsurance. Ann Probab 12(3):890–907

Schlütter S, Gründl H (2011) Who benefits from buildiung insurance groups? A welfare analysis based on optimal group risk management. ICIR working paper series Nr. 8. Goethe Universität, Frankfurt am Main

Verlaak R, Beirlant J (2003) Optimal reinsurance programs: an optimal combination of several reinsurance protections on a heterogeneous insurance Portfolio. Insur Math Econ 33(2):381–403

Wüthrich MV, Bühlmann H, Furrer H (2010) Market-consistent actuarial valuation, 2nd edn. Springer, Berlin

Young VR (1999) Optimal insurance under Wang’s premium principle. Insur Math Econ 25(2):109–122