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TAXATION OF A GMWB VARIABLE ANNUITY IN A STOCHASTIC INTEREST RATE MODEL

Published online by Cambridge University Press:  02 September 2020

Andrea Molent
Andrea Molent*
Affiliation:
Dipartimento di Scienze Economiche e Statistiche, Università degli Studi di Udine, Udine, Italy E-Mail: andrea.molent@uniud.it
*
E-Mail: andrea.molent@uniud.it
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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.

Keywords

Variable Annuitiestaxationstochastic interest rateoptimal withdrawaltree methodG2G22G12G13C6
Type
Research Article
Information
ASTIN Bulletin: The Journal of the IAA , Volume 50 , Issue 3 , September 2020 , pp. 1001 - 1035
Copyright
© 2020 by Astin Bulletin. All rights reserved

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