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Risks 2018, 6(3), 103; https://doi.org/10.3390/risks6030103

The Impact of Management Fees on the Pricing of Variable Annuity Guarantees

1
Faculty of Sciences, University of Technology Sydney, Ultimo 2007, Australia
2
Data61, CSIRO—Commonwealth Scientific and Industrial Research Organisation, Canberra 2601, Australia
3
Department of Actuarial Studies and Business Analytics, Macquarie University, North Ryde 2109, Australia
*
Author to whom correspondence should be addressed.
Received: 10 August 2018 / Revised: 13 September 2018 / Accepted: 14 September 2018 / Published: 19 September 2018
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Abstract

Variable annuities, as a class of retirement income products, allow equity market exposure for a policyholder’s retirement fund with optional guarantees to limit the downside risk of the market. Management fees andguarantee insurance fees are charged respectively for the market exposure and for the protection from the downside risk. We investigate the pricing of variable annuity guarantees under optimal withdrawal strategies when management fees are present. We consider from both policyholder’s and insurer’s perspectives optimal withdrawal strategies and calculate the respective fair insurance fees. We reveal a discrepancy where the fees from the insurer’s perspective can be significantly higher due to the management fees serving as a form of market friction. Our results provide a possible explanation of lower guarantee insurance fees observed in the market than those predicted from the insurer’s perspective. Numerical experiments are conducted to illustrate the results. View Full-Text
Keywords: pricing; variable annuity guarantees; management fees; dynamic programming pricing; variable annuity guarantees; management fees; dynamic programming
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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).
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Sun, J.; Shevchenko, P.V.; Fung, M.C. The Impact of Management Fees on the Pricing of Variable Annuity Guarantees. Risks 2018, 6, 103.

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