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Pricing and managing risks of ruin contingent life annuities under regime switching variance gamma process

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  • Farzad Fard
  • Ning Rong

Abstract

We propose a model for valuing ruin contingent life annuities under the regime-switching variance gamma process. The Esscher transform is employed to determine the equivalent martingale measure. The PIDE approach is adopted for the pricing formulation. Due to the path dependency of the payoff of the insurance product and the non-existence of a closed-form solution for the PIDE, the finite difference method is utilized to numerically calculate the value of the product. To highlight some practical features of the product, we present a numerical example. Finally, we examine numerically the performance of a simple hedging strategy by investigating the terminal distribution of hedging errors and the associated risk measures such as the value at risk and the expected shortfall. The impacts of the frequency of re-balancing the hedging portfolio on the quality of hedging are also discussed. Copyright Springer-Verlag Berlin Heidelberg 2014

Suggested Citation

  • Farzad Fard & Ning Rong, 2014. "Pricing and managing risks of ruin contingent life annuities under regime switching variance gamma process," Annals of Finance, Springer, vol. 10(2), pages 315-332, May.
    • Handle: RePEc:kap:annfin:v:10:y:2014:i:2:p:315-332
    DOI: 10.1007/s10436-013-0239-0
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    Cited by:

    1. Gian P. Cervellera & Marco P. Tucci, 2014. "A note on the estimation of a Gamma-Variance process: Learning from a failure," Department of Economics University of Siena 702, Department of Economics, University of Siena.
    2. Gian P. Cervellera & Marco P. Tucci, 2017. "A note on the Estimation of a Gamma-Variance Process: Learning from a Failure," Computational Economics, Springer;Society for Computational Economics, vol. 49(3), pages 363-385, March.
    3. Guglielmo D’Amico & Shakti Singh & Dharmaraja Selvamuthu, 2023. "Analysis of fair fee in guaranteed lifelong withdrawal and Markovian health benefits," Annals of Finance, Springer, vol. 19(3), pages 383-400, September.

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    More about this item

    Keywords

    Ruin contingent life annuity; Regime switching variance gamma; Esscher transform; Pricing and risk management; G13; G22; D52;
    All these keywords.

    JEL classification:

    • G13 - Financial Economics - - General Financial Markets - - - Contingent Pricing; Futures Pricing
    • G22 - Financial Economics - - Financial Institutions and Services - - - Insurance; Insurance Companies; Actuarial Studies
    • D52 - Microeconomics - - General Equilibrium and Disequilibrium - - - Incomplete Markets

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