Coughlan, Guy and Khalaf-Allah, Marwa and Ye, Yijing and Kumar, Sumit and Cairns, Andrew and Blake, David and Dowd, Kevin (2011): Longevity hedging 101: A framework for longevity basis risk analysis and hedge effectiveness. Published in: North American Actuarial Journal , Vol. 15, No. 2 (2011): pp. 150-176.
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Basis risk is an important consideration when hedging longevity risk with instruments based on longevity indices, since the longevity experience of the hedged exposure may differ from that of the index. As a result, any decision to execute an index-based hedge requires a framework for (1) developing an informed understanding of the basis risk, (2) appropriately calibrating the hedging instrument, and (3) evaluating hedge effectiveness. We describe such a framework and apply it to a U.K. case study, which compares the population of assured lives from the Continuous Mor- tality Investigation with the England and Wales national population. The framework is founded on an analysis of historical experience data, together with an appreciation of the contextual relationship between the two related populations in social, economic, and demographic terms. Despite the different demographic profiles, the case study provides evidence of stable long-term relationships between the mortality experiences of the two populations. This suggests the important result that high levels of hedge effectiveness should be achievable with appropriately cali- brated, static, index-based longevity hedges. Indeed, this is borne out in detailed calculations of hedge effectiveness for a hypothetical pension portfolio where the basis risk is based on the case study. A robustness check involving populations from the United States yields similar results.
|Item Type:||MPRA Paper|
|Original Title:||Longevity hedging 101: A framework for longevity basis risk analysis and hedge effectiveness|
|Keywords:||Longevity risk; basis risk; hedge effectiveness|
|Subjects:||G - Financial Economics > G2 - Financial Institutions and Services > G22 - Insurance ; Insurance Companies ; Actuarial Studies
G - Financial Economics > G2 - Financial Institutions and Services > G23 - Non-bank Financial Institutions ; Financial Instruments ; Institutional Investors
J - Labor and Demographic Economics > J1 - Demographic Economics > J11 - Demographic Trends, Macroeconomic Effects, and Forecasts
|Depositing User:||David Blake|
|Date Deposited:||09. Jan 2012 11:48|
|Last Modified:||17. Sep 2015 08:20|
CAIRNS, A. J. G., D. BLAKE, K. DOWD, G. D. COUGHLAN, AND M. KHALAF-ALLAH. 2011. Bayesian Stochastic Mortality Modelling for Two Populations. ASTIN Bulletin 41(1): 29–59.
COUGHLAN, G. D. 2009a. Hot Topics in Risk Management: Longevity Hedging. Paper presentated at the Actuarial Profession’s Risk and Investment Conference, June 21–23, Brighton, UK.
COUGHLAN, G. D. 2009b. Longevity Risk Transfer: Indices and Capital Market Solutions. In The Handbook of Insurance Linked Securities, edited by P. M. Barrieu and L. Albertini, pp. 261–281. London: John Wiley.
COUGHLAN, G. D., S. EMERY, AND J. KOLB. 2004. HEAT (Hedge Effectiveness Analysis Toolkit): A Consistent Framework for Assessing Hedge Effectiveness under IAS 39 and FAS 133. Journal of Derivatives Accounting 1(2): 221–272.
COUGHLAN, G. D., D. EPSTEIN, J. HEVIA-PORTOCARRERA, M. KHALAF-ALLAH, C. S. WATTS, AND P. JOSEPH. 2007a. LifeMetrics: Netherlands Longevity Index. Technical Document Supplement. October 22. London: JPMorgan. www.lifemetrics.com.
COUGHLAN, G. D., D. EPSTEIN, A. ONG, A. SINHA, I. BALEVICH, J. HEVIA-PORTOCARRERA, E. GINGRICH, M. KHALAF-ALLAH, AND P. JOSEPH. 2007b. LifeMetrics: A Toolkit for Measuring and Managing Longevity and Mortality Risks. Technical Document. March 13. London: JPMorgan. www.lifemetrics.com.
COUGHLAN, G. D., D. EPSTEIN, A. SINHA, AND P. HONIG. 2007c. q-Forwards: Derivatives for Transferring Longevity and Mortality Risk. July 2. London: JPMorgan. www.lifemetrics.com.
COUGHLAN, G. D., D. EPSTEIN, C. S. WATTS, M. KHALAF-ALLAH, P. JOSEPH, AND Y. YE. 2008. LifeMetrics: Germany Longevity Index. Technical Document Supplement. April 7. London: JPMorgan. www.lifemetrics.com.
COX, S. H., AND Y. LIN. 2007. Natural Hedging of Life and Annuity Mortality Risks. North American Actuarial Journal 11(3): 1–15.
CURRIE, I. 2009. Basis Risk in Mortality Projections. Longevitas Limited. www.longevitas.co.uk/site/informationmatrix/ basisriskinmortalityprojections.html.
DAHL, M., AND T. MøLLER. 2006. Valuation and Hedging of Life Insurance Risks with Systematic Mortality Risk. Insurance: Mathematics & Economics 39: 193–217.
DAVIES, P. J. 2011. JPMorgan Strikes an Important Deal for Longevity Risk Trading. Financial Times, February 1.
DOWD, K., A. J. G. CAIRNS, D. BLAKE, G. D. COUGHLAN, AND M. KHALAF-ALLAH. 2011. A Gravity Model of Mortality Rates for Two Related Populations. North American Actuarial Journal 15(2): 334–356.
FRIEDBERG, L., AND A. WEBB. 2007. Life Is Cheap: Using Mortality Bonds to Hedge Aggregate Mortality Risk. B.E. Journal of Economic Analysis & Policy 7(1): Article 31.
JARNER, S. F. 2008. Small-Region Mortality Modelling. Paper presented at the Fourth International Longevity Risk and Capital Markets Solutions Conference, Amsterdam, September 5, 2008.
JARNER, S. F., AND E. M. KRYGER. 2009. Modelling Adult Mortality in Small Populations: The SAINT Model. Pensions Institute Working Paper PI-0902, January.
LEE, R. D., AND L. R. CARTER. 1992. Modeling and Forecasting U.S. Mortality. Journal of the American Statistical Association 87: 659–675.
LI, J. S. H., AND M. R. HARDY. 2011. Measuring Basis Risk in Longevity Hedges. North American Actuarial Journal 15(2): 177–200.
LI, N., AND R. LEE. 2005. Coherent Mortality Forecasts for a Group of Populations: An Extension to the Lee-Carter Method. Demography 42(3): 575–594.
LIFE AND PENSIONS. 2008. Canada Life Hedges Equitable Longevity with JPMorgan Swap. Life & Pensions (October): 6.
LUCIDA PLC. 2008. Lucida and JPMorgan First to Trade Longevity Derivative. February 15. www.lucidaplc.com/en/news.
MERCER 2011. World’s First Longevity Hedge for Non-Retired Pension Plan Members Completed. Press Release. February 1. http:// uk.mercer.com/press-releases/1406520.
NGAI, A., AND M. SHERRIS. 2010. Longevity Risk Management for Life and Variable Annuities: Effectiveness of Static Hedging Using Longevity Bonds and Derivatives. University of New South Wales, Australian School of Business Research Paper No. 2010ACTL03. April.
PLAT, R. 2009. Stochastic Portfolio Specific Mortality and the Quantification of Mortality Basis Risk. Insurance: Mathematics & Economics 45(1): 123–132.
RICHARDS, S. J., AND G. JONES. 2004. Financial Aspects of Longevity Risk. Paper presented at the Staple Inn Actuarial Society, London, October 26.
STAPLETON, J. 2011. Pall Scheme Completes World’s First Longevity Hedge for Non-Retired Members. Professional Pensions, February 1. www.professionalpensions.com.
SWEETING, P. 2007. Pricing Basis Risk in Survivor Swaps. Life & Pensions (September): 44–48.
SYMMONS, J. 2008. Lucida Guards against Longevity. Financial News, February 19. www.efinancialnews.com.
TRADING RISK. 2008. JPMorgan Longevity Swap Unlocks UK Annuity Market. Trading Risk (September/October): 3. www.trading-risk.com.
WANG, J. L., H. C. HUANG, S. S. YANG, AND J. T. TSAI. 2010. An Optimal Product Mix for Hedging Longevity Risk in Life Insurance Companies: The Immunization Theory Approach. Journal of Risk and Insurance 77(2): 473–497.