Risk Management of Policyholder Behavior in Equity Linked Life Insurance

The financial guarantees embedded in variable annuity contracts expose insurers to a wide range of risks, lapse risk being one of them. When policyholders’ lapse behavior differs from the assumptions used to hedge variable annuity contracts, the effectiveness of dynamic hedging strategies can be significantly impaired. By studying how the fee structure and surrender charges affect surrender incentives, we obtain new theoretical results on the optimal surrender region and use them to design a marketable contract that is never optimal to lapse.

[1]  Alexander Kukush,et al.  On the (In-)Dependence between Financial and Actuarial Risks , 2013 .

[2]  Mary R. Hardy,et al.  Investment guarantees : modeling and risk management for equity-linked life insurance , 2003 .

[3]  Taehan Bae,et al.  On Pricing Equity-Linked Investment Products with a Threshold Expense Structure , 2010 .

[4]  Thomas F. Coleman,et al.  Hedging guarantees in variable annuities under both equity and interest rate risks , 2006 .

[5]  P. Boyle,et al.  Guaranteed Annuity Options , 2003, ASTIN Bulletin.

[6]  T. Coleman,et al.  Robustly Hedging Variable Annuities with Guarantees under Jump and Volatility Risks , 2007 .

[7]  Christian Knoller,et al.  On the Propensity to Surrender a Variable Annuity Contract: An Empirical Analysis of Dynamic Policyholder Behavior , 2016 .

[8]  A. Mackay Fee Structure and Surrender Incentives in Variable Annuities , 2014 .

[9]  The Effect of the Real Option to Transfer on the Value of Guaranteed Minimum Death Benefits , 2006 .

[10]  Christiane Lemieux,et al.  Fast simulation of equity-linked life insurance contracts with a surrender option , 2008, 2008 Winter Simulation Conference.

[11]  Łukasz Delong,et al.  Pricing and hedging of variable annuities with state-dependent fees , 2014 .

[12]  Anders Grosen,et al.  Life Insurance Liabilities at Market Value: An Analysis of Insolvency Risk, Bonus Policy, and Regulatory Intervention Rules in a Barrier Option Framework , 2001 .

[13]  Daniel Bauer,et al.  On the Risk-Neutral Valuation of Life Insurance Contracts with Numerical Methods in View , 2010, ASTIN Bulletin.

[14]  I. Kim,et al.  An alternative approach to the valuation of American options and applications , 1996 .

[15]  Pricing maturity guarantee under a refracted Brownian motion , 2013 .

[16]  C. Tsai The Impacts of Surrender Options on Reserve Durations , 2012 .

[17]  Chenghsien Tsai,et al.  An empirical study on the Lapse Rate: the cointegration approach , 2003 .

[18]  The Effect of Secondary Markets on Equity-Linked Life Insurance with Surrender Guarantees , 2012 .

[19]  D. Duffy Finite Difference Methods in Financial Engineering: A Partial Differential Equation Approach , 2006 .

[20]  C. Bernard,et al.  Reducing Surrender Incentives Through Fee Structure in Variable Annuities , 2015 .

[21]  Carole Bernard,et al.  STATE-DEPENDENT FEES FOR VARIABLE ANNUITY GUARANTEES , 2013, ASTIN Bulletin.

[22]  Eric R. Ulm ANALYTIC SOLUTION FOR RETURN OF PREMIUM AND ROLLUP GUARANTEED MINIMUM DEATH BENEFIT OPTIONS UNDER SOME SIMPLE MORTALITY LAWS , 2008 .

[23]  Lan Wu,et al.  The time of deducting fees for variable annuities under the state-dependent fee structure , 2015 .

[24]  Mercedes Ayuso,et al.  Commitment and Lapse Behavior in Long‐Term Insurance: A Case Study , 2011 .

[25]  M. Eling,et al.  Research on lapse in life insurance: what has been done and what needs to be done? , 2013 .

[26]  Hato Schmeiser,et al.  The Impact of the Secondary Market on Life Insurers’ Surrender Profits , 2009 .

[27]  Pietro Millossovich,et al.  Pricing Life Insurance Contracts with Early Exercise Features , 2009, J. Comput. Appl. Math..

[28]  Michael Sherris,et al.  Longevity Risk Management for Life and Variable Annuities: Effectiveness of Static Hedging Using Longevity Bonds and Derivatives , 2010 .

[29]  C. Bernard,et al.  Optimal Surrender Policy for Variable Annuity Guarantees , 2014 .

[30]  Daniel Bauer,et al.  A Universal Pricing Framework for Guaranteed Minimum Benefits in Variable Annuities , 2008 .

[31]  Mary R. Hardy,et al.  Hedging and Reserving for Single-Premium Segregated Fund Contracts , 2000 .

[32]  Alexander Szimayer,et al.  The Effect of Policyholders’ Rationality on Unit-Linked Life Insurance Contracts with Surrender Guarantees , 2010 .

[33]  Domenico DeGiovanni Lapse Rate Modeling: A Rational Expectation Approach , 2008 .

[34]  A. Kling,et al.  The impact of policyholder behavior on pricing, hedging, and hedge efficiency of withdrawal benefit guarantees in variable annuities , 2014 .

[35]  T. Björk Arbitrage Theory in Continuous Time , 2019 .

[36]  Thorsten Moenig,et al.  Lapse and Reentry in Variable Annuities , 2014 .

[37]  Anna Rita Bacinello Fair Valuation of a Guaranteed Life Insurance Participating Contract Embedding a Surrender Option , 2003 .

[38]  M. Eling,et al.  What Policy Features Determine Life Insurance Lapse? An Analysis of the German Market , 2014 .

[39]  Howard R. Waters,et al.  Actuarial Mathematics for Life Contingent Risks , 2019 .

[40]  D. Benedetti Insurance Contract Design and Endogenous Frailty , 2013 .