Variable annuity pricing, valuation, and risk management: a survey

R Feng, G Gan, N Zhang - Scandinavian Actuarial Journal, 2022 - Taylor & Francis
Variable annuity is arguably the most complex individual retirement planning product in the
financial market. Its intricacy stems from a variety of product features including investment …

Policyholder exercise behavior in life insurance: The state of affairs

D Bauer, J Gao, T Moenig, ER Ulm… - North American Actuarial …, 2017 - Taylor & Francis
The article presents a review of structural models of policyholder behavior in life insurance.
We first discuss underlying drivers of policyholder behavior in theory and survey the …

Risk management of policyholder behavior in equity‐linked life insurance

A MacKay, M Augustyniak, C Bernard… - Journal of Risk and …, 2017 - Wiley Online Library
The financial guarantees embedded in variable annuity contracts expose insurers to a wide
range of risks, lapse risk being one of them. When policyholders' lapse behavior differs from …

Optimal surrender policy for variable annuity guarantees

C Bernard, A MacKay, M Muehlbeyer - Insurance: Mathematics and …, 2014 - Elsevier
This paper proposes a technique to derive the optimal surrender strategy for a variable
annuity (VA) as a function of the underlying fund value. This approach is based on splitting …

Optimal investment-withdrawal strategy for variable annuities under a performance fee structure

R Feng, X **g, KTH Ng - Journal of Economic Dynamics and Control, 2025 - Elsevier
Abstract Variable Annuities (VAs) provide policyholders with market participation while
offering additional protection from insurers. In this article, we develop a mathematical model …

Variable annuities with VIX-linked fee structure under a Heston-type stochastic volatility model

Z Cui, R Feng, A MacKay - North American Actuarial Journal, 2017 - Taylor & Francis
The Chicago Board of Options Exchange (CBOE) advocates linking variable annuity (VA)
fees to its trademark VIX index in a recent white paper. It claims that the VIX-linked fee …

Valuation and optimal surrender of variable annuities with guaranteed minimum benefits and periodic fees

JL Kirkby, JP Aguilar - Scandinavian Actuarial Journal, 2023 - Taylor & Francis
This work studies the valuation and optimal surrender of variable (equity-linked) annuities
under a Lévy-driven equity market with mortality risk. We consider a practical periodic fee …

Analysis of VIX-linked fee incentives in variable annuities via continuous-time Markov chain approximation

A MacKay, MC Vachon, Z Cui - Quantitative Finance, 2023 - Taylor & Francis
We consider the pricing of variable annuities (VAs) with general fee structures under a class
of stochastic volatility models which includes the Heston, Hull-White, Scott, α …

Lapse‐and‐reentry in variable annuities

T Moenig, N Zhu - Journal of Risk and Insurance, 2018 - Wiley Online Library
Section 1035 of the current US tax code allows policyholders to exchange their variable
annuity policy for a similar product while maintaining tax‐deferred status. When the variable …

The effect of the assumed interest rate and smoothing on variable annuities

AG Balter, BJM Werker - ASTIN Bulletin: The Journal of the IAA, 2020 - cambridge.org
In this paper, we consider the risk–return trade-off for variable annuities in a Black–Scholes
setting. Our analysis is based on a novel explicit allocation of initial wealth over the …