Reinsurance contract design with adverse selection

References

• Arrow, K. J. (1963). Uncertainty and the welfare economics of medical care. American Economic Review 53, 941–973.
   Web of Science ®Google Scholar
• Balbás, A., Balbás, B. & Heras, A. (2009). Optimal reinsurance with general risk measures. Insurance: Mathematics and Economics 44(3), 374–384.
   Web of Science ®Google Scholar
• Barrieu, P. & Loubergé, H. (2013). Reinsurance and securitisation in life insurance risk: the impact of regulatory constraints. Insurance: Mathematics and Economics 52(2), 135–144.
   Web of Science ®Google Scholar
• Bernard, C. & Tian, W. (2009). Optimal reinsurance arrangements under tail risk measures. Journal of Risk and Insurance 76(3), 709–725. doi: 10.1111/j.1539-6975.2009.01315.x
   Web of Science ®Google Scholar
• Borch, K. (1960). An attempt to determine the optimum amount of stop loss reinsurance. Transactions of the 16th International Congress of Actuaries. P. 597–610.
   Google Scholar
• Cai, J. & Tan, K. S. (2007). Optimal retention for a stop-loss reinsurance under the VaR and CTE risk measures. ASTIN Bulletin 37(1), 93–112. doi: 10.1017/S0515036100014756
   Web of Science ®Google Scholar
• Cai, J., Tan, K. S., Weng, C. & Zhang, Y. (2008). Optimal reinsurance under VaR and CTE risk measures. Insurance: Mathematics and Economics 43(1), 185–196.
   Web of Science ®Google Scholar
• Carlier, G. & Dana, R.-A. (2005). Rearrangement inequalities in non-convex insurance models. Journal of Mathematical Economics 41, 483–503. doi: 10.1016/j.jmateco.2004.12.004
   Web of Science ®Google Scholar
• Centeno, B. L. & Simões, O. (1991). Combining quota-share and excess of loss treaties on the reinsurance of n independent risks. ASTIN Bulletin 21(1), 41–55. doi: 10.2143/AST.21.1.2005400
   Google Scholar
• Chade, H. & Schlee, E. (2012). Optimal insurance with adverse selection. Theoretical Economics 7, 571–607. doi: 10.3982/TE671
   Web of Science ®Google Scholar
• Cheung, K. C. (2010). Optimal reinsurance revisited – geometric approach. ASTIN Bulletin 40(1), 221–239. doi: 10.2143/AST.40.1.2049226
   Web of Science ®Google Scholar
• Cheung, K. C., Sung, K. C. J., Yam, S. C. P. & Yung, S. P. (2014). Optimal reinsurance under general law-invariant risk measures. Scandinavian Actuarial Journal 2014(1), 72–91. doi: 10.1080/03461238.2011.636880
   Web of Science ®Google Scholar
• Cutler, D. M. & Zeckhauser, R. J. (1999). Reinsurance for catastrophes and cataclysms. In K. A. Froot (ed.), The Financing of Catastrophe Risk. Chicago: University of Chicago Press. P. 233–274.
   Google Scholar
• Denuit, M. & Vermandele, C. (1998). Optimal reinsurance and stop-loss order. Insurance: Mathematics and Economics 22, 229–233.
   Web of Science ®Google Scholar
• Dionne, G., Doherty, N. & Fombaron, N. (2000). Adverse selection in insurance markets. In G. Dionne (ed.), Handbook of Insurance. New York: Springer-Verlag. P. 185–243.
   Google Scholar
• Gajek, L. & Zagrodny, D. (2004). Optimal reinsurance under general risk measures. Insurance: Mathematics and Economics 34, 227–240.
   Web of Science ®Google Scholar
• Gerber, H. U. (1978). Pareto-optimal risk exchanges and related decision problems. ASTIN Bulletin 10(1), 25–33. doi: 10.1017/S0515036100006310
   Google Scholar
• Gerber, H. U. (1979). An Introduction to Mathematical Risk Theory. S. S. Huebner Foundation for Insurance Education, Wharton School, University of Pennsylvania, Philadelphia.
   Google Scholar
• Golubin, A. Y. (2006). Pareto-optimal insurance policies in the models with a premium based on the actuarial value. Journal of Risk and Insurance 75(2), 275–288.
   Google Scholar
• Guerra, M. & Centeno, M. L. (2008). Optimal reinsurance policy: the adjustment coefficient and the expected utility criteria. Insurance: Mathematics and Economics 42(2), 529–539.
   Web of Science ®Google Scholar
• Guerra, M. & Centeno, M. L. (2012). Are quantile risk measures suitable for risk-transfer decisions? Insurance: Mathematics and Economics 50, 446–461.
   Web of Science ®Google Scholar
• Jorion, P. (2007). Value at risk: the new benchmark for managing financial risk, 3rd ed., New York: McGraw Hill.
   Google Scholar
• Kaluszka, M. (2004a). Mean–variance optimal reinsurance arrangements. Scandinavian Actuarial Journal 1, 28–41. doi: 10.1080/03461230410019222
   Google Scholar
• Kaluszka, M. (2004b). An extension of Arrow's result on optimality of a stop loss contract. Insurance: Mathematics and Economics 35(3), 527–536.
   Web of Science ®Google Scholar
• Kaluszka, M. (2005). Optimal reinsurance under convex principles of premium calculation. Insurance: Mathematics and Economics 36(3), 375–398.
   Web of Science ®Google Scholar
• Kaluszka, M. & Okolewski, A. (2008). An extension of Arrow's result on optimal reinsurance contract. Journal of Risk and Insurance 75(2), 275–288. doi: 10.1111/j.1539-6975.2008.00260.x
   Web of Science ®Google Scholar
• Liang, G. & Guo, J. (2011). Optimal combining quota-share and excess of loss reinsurance to maximize the expected utility. Journal of Applied Mathematics and Computing 36(1), 11–25. doi: 10.1007/s12190-010-0385-8
   Google Scholar
• Laffont, J. J. & Martimort, D. (2001). The theory of incentives: the principal–agent model. Princeton: Princeton University Press.
   Google Scholar
• Landsberge, M. & Meilijson, I. (1999). A general model of insurance under adverse selection. Economic Theory 14, 331–352. doi: 10.1007/s001990050297
   Web of Science ®Google Scholar
• Rothschild, M. & Stiglitz, J. (1976). Equilibrium in competitive insurance markets: an essay on the economics of imperfect information. The Quarterly Journal of Economics 90(4), 629–649. doi: 10.2307/1885326
   Web of Science ®Google Scholar
• Stiglitz, J. E. (1977). Monopoly, non-linear pricing and imperfect information: the insurance market. The Review of Economic Studies 44(3), 407–430. doi: 10.2307/2296899
   Web of Science ®Google Scholar
• Sung, K. C. J., Yam, S. C. P., Yung, S. P. & Zhou, J. H. (2011). Behavioral optimal insurance. Insurance: Mathematics and Economics 49(3), 418–428.
   Web of Science ®Google Scholar
• Tan, K. S. & Weng, C. (2012). Enhancing insurer value using reinsurance and value-at-risk criterion. The Geneva Risk and Insurance Review 37, 109–140. doi: 10.1057/grir.2011.5
   Web of Science ®Google Scholar
• Tan, K. S., Weng, C. & Zhang, Y. (2009). VaR and CTE criteria for optimal quota-share and stop-loss reinsurance. North American Actuarial Journal 13(4), 459–482. doi: 10.1080/10920277.2009.10597569
   Google Scholar
• Vajda, S. (1962). Minimum variance reinsurance. ASTIN Bulletin 2, 257–260. doi: 10.1017/S0515036100009995
   Google Scholar
• Yamori, N. (1999). An empirical investigation of the Japanese corporate demand for insurance. Journal of Risk and Insurance 66(2), 239–252. doi: 10.2307/253611
   Web of Science ®Google Scholar
• Young, V. R. (1999). Optimal insurance under Wang's premium principle. Insurance: Mathematics and Economics 25(2), 109–122.
   Web of Science ®Google Scholar