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Taxation Of A Gmwb Variable Annuity In A Stochastic Interest Rate Model

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  • Molent, Andrea

Abstract

Modeling taxation of Variable Annuities has been frequently neglected, but accounting for it can significantly improve the explanation of the withdrawal dynamics and lead to a better modeling of the financial cost of these insurance products. The importance of including a model for taxation has first been observed by Moenig and Bauer (2016) while considering a Guaranteed Minimum Withdrawal Benefit (GMWB) Variable Annuity. In particular, they consider the simple Black–Scholes dynamics to describe the underlying security. Nevertheless, GMWB are long-term products, and thus accounting for stochastic interest rate has relevant effects on both the financial evaluation and the policyholder behavior, as observed by Goudenège et al. (2018). In this paper, we investigate the outcomes of these two elements together on GMWB evaluation. To this aim, we develop a numerical framework which allows one to efficiently compute the fair value of a policy. Numerical results show that accounting for both taxation and stochastic interest rate has a determinant impact on the withdrawal strategy and on the cost of GMWB contracts. In addition, it can explain why these products are so popular with people looking for a protected form of investment for retirement.

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  • Molent, Andrea, 2020. "Taxation Of A Gmwb Variable Annuity In A Stochastic Interest Rate Model," ASTIN Bulletin, Cambridge University Press, vol. 50(3), pages 1001-1035, September.
    • Handle: RePEc:cup:astinb:v:50:y:2020:i:3:p:1001-1035_11
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    Cited by:

    1. Tetyana Calinescu & Ganna Likhonosova & Olena Zelenko, 2022. "International Financial Activities: Accounting, Taxation And Insurance," Baltic Journal of Economic Studies, Publishing house "Baltija Publishing", vol. 8(2).
    2. Yaowen Lu & Duy-Minh Dang, 2023. "A semi-Lagrangian $\epsilon$-monotone Fourier method for continuous withdrawal GMWBs under jump-diffusion with stochastic interest rate," Papers 2310.00606, arXiv.org.

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