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

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 an...

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Main Authors: Jin Sun, Pavel V. Shevchenko, Man Chung Fung
Format: Article
Language:English
Published: MDPI AG 2018-09-01
Series:Risks
Subjects:
Online Access:http://www.mdpi.com/2227-9091/6/3/103
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author Jin Sun
Pavel V. Shevchenko
Man Chung Fung
author_facet Jin Sun
Pavel V. Shevchenko
Man Chung Fung
author_sort Jin Sun
collection DOAJ
description 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.
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spelling doaj.art-6de4833378c048c988c2fa24549e509c2022-12-21T20:30:57ZengMDPI AGRisks2227-90912018-09-016310310.3390/risks6030103risks6030103The Impact of Management Fees on the Pricing of Variable Annuity GuaranteesJin Sun0Pavel V. Shevchenko1Man Chung Fung2Faculty of Sciences, University of Technology Sydney, Ultimo 2007, AustraliaDepartment of Actuarial Studies and Business Analytics, Macquarie University, North Ryde 2109, AustraliaData61, CSIRO—Commonwealth Scientific and Industrial Research Organisation, Canberra 2601, AustraliaVariable 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.http://www.mdpi.com/2227-9091/6/3/103pricingvariable annuity guaranteesmanagement feesdynamic programming
spellingShingle Jin Sun
Pavel V. Shevchenko
Man Chung Fung
The Impact of Management Fees on the Pricing of Variable Annuity Guarantees
Risks
pricing
variable annuity guarantees
management fees
dynamic programming
title The Impact of Management Fees on the Pricing of Variable Annuity Guarantees
title_full The Impact of Management Fees on the Pricing of Variable Annuity Guarantees
title_fullStr The Impact of Management Fees on the Pricing of Variable Annuity Guarantees
title_full_unstemmed The Impact of Management Fees on the Pricing of Variable Annuity Guarantees
title_short The Impact of Management Fees on the Pricing of Variable Annuity Guarantees
title_sort impact of management fees on the pricing of variable annuity guarantees
topic pricing
variable annuity guarantees
management fees
dynamic programming
url http://www.mdpi.com/2227-9091/6/3/103
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