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 …

Fees in tontines

A Chen, M Guillen, M Rach - Insurance: Mathematics and Economics, 2021 - Elsevier
This paper studies the incorporation of an explicit fee in modern tontine schemes and
investigates how it affects the attractiveness of these products from the point of view of both …

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

R Feng, X Jing, 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 …

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 …

Computational technique for simulating variable-order fractional Heston model with application in US stock market

ZS Mostaghim, BP Moghaddam, HS Haghgozar - Mathematical Sciences, 2018 - Springer
In this paper, a numerical technique is developed to discretize variable-order fractional
Heston differential equation. The proposed strategy is followed by an optimization …

High‐water mark fee structure in variable annuities

D Landriault, B Li, D Li, Y Wang - Journal of Risk and Insurance, 2021 - Wiley Online Library
This paper proposes a novel high‐water mark fee structure and investigates its impact on
the marketability of variable annuities. To evaluate the welfare effects of holding a variable …

Quantitative modeling of risk management strategies: Stochastic reserving and hedging of variable annuity guaranteed benefits

R Feng, B Yi - Insurance: Mathematics and Economics, 2019 - Elsevier
Variable annuities are enhanced life insurance products that offer policyholders participation
in equity investment with minimum return guarantees. There are two well-established risk …

A Markov chain approximation scheme for option pricing under skew diffusions

K Ding, Z Cui, Y Wang - Quantitative Finance, 2021 - Taylor & Francis
In this paper, we propose a general valuation framework for option pricing problems related
to skew diffusions based on a continuous-time Markov chain approximation to the …

No arbitrage in insurance and the QP-rule

P Artzner, KT Eisele, T Schmidt - Available at SSRN 3607708, 2020 - papers.ssrn.com
This paper is an attempt to study fundamentally the valuation of insurance contracts. We start
from the observation that insurance contracts are inherently linked to financial markets, be it …

Valuing guaranteed minimum accumulation benefits by a change of numéraire approach

Y Huang, R Mamon, H Xiong - Insurance: Mathematics and Economics, 2022 - Elsevier
Three correlated risk factors, namely, financial, mortality and lapse risks, are modelled in an
integrated way to support the valuation of guaranteed minimum accumulation benefits …