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Efficient Pricing of Ratchet Equity-Indexed Annuities in a Variance-Gamma Economy

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  • Laura Ballotta

Abstract

In this paper we propose a new method for approximating the price of arithmetic Asian options in a Variance-Gamma (VG) economy, which is then applied to the problem of pricing equityindexed annuity contracts. The proposed procedure is an extension to the case of a VG-based model of the moment-matching method developed by Turnbull and Wakeman and Levy for the pricing of this class of path-dependent options in the traditional Black-Scholes setting. The accuracy of the approximation is analyzed against RQMC estimates for the case of ratchet equityindexed annuities with index averaging.

Suggested Citation

  • Laura Ballotta, 2010. "Efficient Pricing of Ratchet Equity-Indexed Annuities in a Variance-Gamma Economy," North American Actuarial Journal, Taylor & Francis Journals, vol. 14(3), pages 355-368.
    • Handle: RePEc:taf:uaajxx:v:14:y:2010:i:3:p:355-368
    DOI: 10.1080/10920277.2010.10597639
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    Cited by:

    1. Adam W. Kolkiewicz & Fangyuan Sally Lin, 2017. "Pricing Surrender Risk in Ratchet Equity-Index Annuities under Regime-Switching Lévy Processes," North American Actuarial Journal, Taylor & Francis Journals, vol. 21(3), pages 433-457, July.
    2. Kirkby, J. Lars & Nguyen, Duy, 2021. "Equity-linked Guaranteed Minimum Death Benefits with dollar cost averaging," Insurance: Mathematics and Economics, Elsevier, vol. 100(C), pages 408-428.
    3. Antje Mahayni & Matthias Muck, 2017. "The benefit of life insurance contracts with capped index participation when stock prices are subject to jump risk," Review of Derivatives Research, Springer, vol. 20(3), pages 281-308, October.
    4. Ballotta, Laura & Eberlein, Ernst & Schmidt, Thorsten & Zeineddine, Raghid, 2021. "Fourier based methods for the management of complex life insurance products," Insurance: Mathematics and Economics, Elsevier, vol. 101(PB), pages 320-341.
    5. Ludovic Gouden`ege & Andrea Molent & Xiao Wei & Antonino Zanette, 2024. "Enhancing Valuation of Variable Annuities in L\'evy Models with Stochastic Interest Rate," Papers 2404.07658, arXiv.org.

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