On the lifetime and one-year views of reserve risk, with application to IFRS 17 and Solvency II risk margins

AISAM-ACME. 2007. AISAM-ACME study on non-life long tail liabilities. 17 October 2007. http://www.aisam.org/. APRA. 2015. General insurance risk margins: Industry Review Report as at 30 September 2013. Australian Prudential Regulation Authority. Artzner, 1999, Coherent measures of risk, Math. Finance, 9, 203, 10.1111/1467-9965.00068 Ashe, 1986, An essay at measuring the variance of estimates of outstanding claim payments, Astin Bull., 16, 99, 10.2143/AST.16.3.2014996 Barnett, 2000, Best estimates for reserves, Proc. Casualty Actuar. Soc., LXXVII, 245 Böhm, H., Glaab, H., 2006. Modellierung des Kalenderjahr-Risikos im additive und multiplikativen Schadenreservierungsmodell. Presentation given at the German ASTIN Colloquium 2006. De Felice, M., Moriconi, F., 2003. Risk based capital in P&C loss reserving or stressing the triangle. Research Group on Insurance Companies and Pension Funds, Working Paper no. 1, Rome, December 2003. De Felice, M., Moriconi, F., 2006. Process error and estimation error of year-end reserve estimation in the distribution free chain-ladder model. ALEF Working Paper, Rome, November 2006. Delbaen, 2000 Diers, 2009 Diers, 2013, Multi-year non-life insurance risk, J. Risk Finance, 14, 353, 10.1108/JRF-04-2013-0036 Diers, 2013, The multi-year non-life insurance risk in the additive reserving model, Insurance Math. Econom., 52, 590, 10.1016/j.insmatheco.2013.03.004 Diers, 2016, Addendum to ‘The multi-year non-life insurance risk in the additive reserving model’: Quantification of multi-year non-life insurance risk in chain-ladder reserving models, Insurance Math. Econom., 67, 187, 10.1016/j.insmatheco.2015.10.013 England, 2002, Addendum to Analytic and bootstrap estimates of prediction errors in claims reserving, Insurance Math. Econom., 31, 461, 10.1016/S0167-6687(02)00161-0 England, 1999, Analytic and bootstrap estimates of prediction errors in claims reserving, Insurance Math. Econom., 25, 281, 10.1016/S0167-6687(99)00016-5 England, 2001, A flexible framework for stochastic reserving England, 2002, Stochastic claims reserving in general insurance, Br. Actuar. J., 8, 443, 10.1017/S1357321700003809 England, 2006, Predictive distributions of outstanding liabilities in general insurance, Ann. Actuar. Sci., 1, 221, 10.1017/S1748499500000142 EU Commission. 2009. Directive 2009/138/EC of the European Parliament and of the Council. Official Journal of the European Union. IASB. 2017. IFRS 17 Insurance Contracts. International Accounting Standards Board. International Actuarial Association. 2018. Risk Adjustments for Insurance Contracts Under IFRS 17. Educational Monograph. ISBN: 978-0-9813968-5-9. Kremer, 1982, IBNR claims and the two-way model of ANOVA, Scand. Actuar. J., 47, 10.1080/03461238.1982.10405432 Mack, 1991, A simple parametric model for rating automobile insurance or estimating IBNR claims reserves, Astin Bull., 22, 93, 10.2143/AST.21.1.2005403 Mack, 1993, Distribution-free calculation of the standard error of chain-ladder reserve estimates, Astin Bull., 22, 93 Mack, 1999, The standard error of chain ladder reserve estimates: Recursive calculation and inclusion of a tail factor, Astin Bull., 29, 361, 10.2143/AST.29.2.504622 Mack, 2002 Merz, 2007, Prediction error of the expected claims development result in the chain-ladder method, Bull. Swiss Assoc. Actuaries, 2007/1, 117 Merz, 2008, Modelling the claims development result for solvency purposes, CAS E-Forum Fall, 2008, 542 Merz, M., Wüthrich, MV., 2014. Claims run-off uncertainty: The full picture. Swiss Finance Institute Research Paper No. 14-69. SSRN: https://ssrn.com/abstract=2524352. Merz, 2009, Uncertainty in the claims development result in the chain-ladder method, Scand. Actuar. J., 109, 63 Ohlsson, E., 2018. Private communication. Ohlsson, E., Lauzeningks, J., 2008a. The one-year non-life insurance risk. Presentation at ASTIN Colloquium, Manchester. http://www.actuaries.org/ASTIN/Colloquia/Manchester/Presentations/Ohlsson.pdf. Ohlsson, E., Lauzeningks, J., 2008b. The one-year non-life insurance risk. Paper presented at ASTIN Colloquium, Manchester. http://www.actuaries.org/ASTIN/Colloquia/Manchester/Papers/ohlsson_paper_final.pdf. Ohlsson, 2009, The one-year non-life insurance risk, Insurance Math. Econom., 45, 203, 10.1016/j.insmatheco.2009.06.001 Prudential Regulation Authority. 2014. Prudential Regulation Authority Supervisory Statement SS5/14. Bank of England. Renshaw, 1994, On the second moment properties and the implementation of certain GLIM based stochastic claims reserving models Renshaw, 1998, A stochastic model underlying the chain-ladder technique, Br. Actuar. J., 4, IV, 10.1017/S1357321700000222 Röhr, 2016, Chain-ladder and error propagation, Astin Bull., 46, 293, 10.1017/asb.2016.9 Taylor, 2000 Taylor, 1983, Second moments of estimates of outstanding claims, J. Econometrics, 23, 37, 10.1016/0304-4076(83)90074-X Verrall, 1991, On the unbiased estimation of reserves from loglinear models, Insurance Math. Econom., 10, 75, 10.1016/0167-6687(91)90026-T Wang, 1995, Insurance pricing and increased limits ratemaking by proportional hazards transforms, Insurance Math. Econom., 17, 43, 10.1016/0167-6687(95)00010-P Wright, 1997, Probability distribution of outstanding liability from individual payments data Wüthrich, 2008 Wüthrich, MV., Merz, M., 2015. Stochastic claims reserving manual: Advances in dynamic modelling. SSRN: https://ssrn.com/abstract=2649057. Zehnwirth, 1994