The IASB Insurance Project for life insurance contracts: impact on reserving methods and solvency requirements

In this communication, we review the fair value-based accounting framework promoted by the IASB Insurance Project for the case of a life insurance company. In particular, for the case of a simple participating contract with minimum guarantee, we show that the fair valuation process allows for the identification of a suitable safety loading to hedge against default risk; furthermore, we show that, when compared with the “traditional” accounting system based on the construction of mathematical reserves, the fair value approach offers a sounder reporting framework in terms of covering of the liability, implementation costs, volatility of assets and liabilities and solvency capital requirements.

[1]  Steven Haberman,et al.  Modern Actuarial Theory and Practice , 1998 .

[2]  Paola Sebastiani,et al.  Robust Parameter Learning in Bayesian Networks with Missing Data , 1997 .

[3]  Steven Haberman,et al.  Application of frality-based mortality models to insurance data , 2002 .

[4]  Robert G. Cowell,et al.  FINEX: Forensic Identification by Network Expert Systems , 2001 .

[5]  Frank P. A. Coolen,et al.  Guidelines for corrective replacement based on low stochastic structure assumptions , 1997 .

[6]  Martin Newby,et al.  Optimal overhaul intervals with imperfect inspection and repair , 1998 .

[7]  Paola Sebastiani,et al.  A note on D-optimal designs for a logistic regression model , 1997 .

[8]  Nan Wang,et al.  Guarantees in With-Profit and Unitized With-Profit Life Insurance Contracts: Fair Valuation Problem in Presence of the Default Option , 2006 .

[9]  Svein-Arne Persson,et al.  Guaranteed Investment Contracts: Distributed and Undistributed Excess Return , 2003 .

[10]  Martin Newby,et al.  Moments and generating functions for the absortion distribution and its negative binomial analogue , 1999 .

[11]  Paola Sebastiani,et al.  Learning Bayesian Networks from Incomplete Databases , 1997, UAI.

[12]  Paola Sebastiani,et al.  Bayesian Experimental Design and Shannon Information , 1997 .

[13]  Peter Løchte Jørgensen.  On accounting standards and fair valuation of life insurance and pension liabilities , 2004 .

[14]  P. D. England,et al.  Addendum to “Analytic and bootstrap estimates of prediction errors in claims reserving” , 2002 .

[15]  Robert G. Cowell,et al.  Sampling without replacement in junction trees , 1997 .

[16]  Steven Haberman,et al.  Multiple state models, simulation and insurer insolvency , 2001 .

[17]  R. Gerrard,et al.  The management of de-cumulation risks in a defined contribution environment , 2005 .

[18]  M. I Owadally.  Efficient asset valuation methods for pension plans , 2003 .

[19]  H. Wynn,et al.  Maximum entropy sampling and optimal Bayesian experimental design , 2000 .

[20]  Paola Sebastiani,et al.  Risk Based Optimal Designs , 1998 .

[21]  Eduardo S. Schwartz,et al.  The pricing of equity-linked life insurance policies with an asset value guarantee , 1976 .

[22]  Robert G. Cowell,et al.  When learning Bayesian networks from data, using conditional independence tests is equivalent to a scoring metric , 2001 .

[23]  Practical Risk Theory for Actuaries , 1993 .

[24]  M. R. Hardy.  Practical Risk Theory for Actuaries . By C.D. Daykin, T. Pentikäinen and M. Pesonen (Chapman and Hall, 1994) £35.00 , 1995, British Actuarial Journal.

[25]  Nan Wang,et al.  Modelling and Valuation of Guarantees in With-Profit and Unitised with Profit Life Insurance Contracts , 2003 .

[26]  F. Black,et al.  The Pricing of Options and Corporate Liabilities , 1973, Journal of Political Economy.

[27]  J. Spreeuw.  Upper and Lower Bounds of Present Value Distributions of Life Insurance Contracts with Disability Related Benefi ts , 2005 .

[28]  Paola Sebastiani,et al.  First-order optimal designs for non-linear models , 1998 .

[29]  Vladimir K. Kaishev,et al.  Optimal retention levels, given the joint survival of cedent and reinsurer , 2004 .

[30]  Steven Haberman,et al.  Lee-Carter mortality forecasting, a parallel GLM approach, England & Wales mortality projections , 2002 .

[31]  Steven Haberman,et al.  On the forecasting of mortality reduction factors , 2003 .

[32]  Richard Verrall,et al.  A Bayesian Generalized Linear Model for the Bornhuetter-Ferguson Method of Claims Reserving , 2004 .

[33]  Linda C. Wolstenholme,et al.  A characterisation of phase type distributions , 1997 .

[34]  S L Lauritzen,et al.  Identification and separation of DNA mixtures using peak area information. , 2007, Forensic science international.

[35]  Robert G. Cowell,et al.  Mixture reduction via predictive scores , 1998, Stat. Comput..

[36]  P. Liedtke,et al.  Impact of a Fair Value Financial Reporting System on Insurance Companies: A Survey , 2004 .

[37]  Steven Haberman,et al.  Valuation of Guaranteed Annuity Conversion Options , 2003 .

[38]  P. England,et al.  Analytic and bootstrap estimates of prediction errors in claims reserving , 1999 .

[39]  M. Zaki Khorasanee,et al.  A cash-flow approach to pension funding , 2002 .

[40]  Jorge Mina,et al.  Return to RiskMetrics: The Evolution of a Standard , 2001 .

[41]  Steven Haberman,et al.  Lee-Carter mortality forecasting incorporating bivariate time series , 2003 .

[42]  Laura Ballotta,et al.  Alternative framework for the fair valuation of participating life insurance contracts , 2004 .

[43]  M. Yor,et al.  The Fine Structure of Asset Retums : An Empirical Investigation ' , 2006 .

[44]  Steven Haberman,et al.  The fair valuation problem of guaranteed annuity options: The stochastic mortality environment case , 2006 .

[45]  S. Iyer,et al.  Application of stochastic methods in the valuation of social security pension schemes , 2003 .

[46]  N. Wang,et al.  An asset allocation strategy for risk reserve considering both risk and profit , 2004 .

[47]  Anna Rita Bacinello.  Fair Pricing of Life Insurance Participating Policies with a Minimum Interest Rate Guaranteed , 2001, ASTIN Bulletin.

[48]  Richard Verrall,et al.  Modeling Operational Risk with Bayesian Networks , 2007 .

[49]  L. Ballotta.  A Levy Process-based Framework for the Fair Valuation of Participating Life Insurance Contracts , 2005 .

[50]  Steven Haberman,et al.  The income drawdown option: quadratic loss , 2004 .

[51]  Steven Haberman,et al.  Mortality reduction factors incorporating cohort effects , 2005 .

[52]  Gurdip Bakshi,et al.  Empirical Performance of Alternative Option Pricing Models , 1997 .

[53]  M. I. Owadally,et al.  Pension Funding and the Actuarial Assumption Concerning Investment Returns , 2003, ASTIN Bulletin.

[54]  Vladimir K. Kaishev,et al.  Automatic, computer aided geometric design of free-knot, regression splines , 2004 .

[55]  Paola Sebastiani,et al.  The Use of Exogenous Knowledge to Learn Bayesian Networks from Incomplete Databases , 1997, IDA.

[56]  Les Mayhew.  The neighbourhood health economy , 2002 .