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The guaranteed minimum withdrawal benefit (GMWB) rider, as an add on to a variable annuity (VA), guarantees the return of premiums in the form of peri- odic withdrawals while allowing policyholders to participate fully in any market gains.…

Pricing of Securities · Quantitative Finance 2015-05-14 Cody B. Hyndman , Menachem Wenger

This paper investigates optimal withdrawal strategies and behavior of policyholders in a variable annuity (VA) contract with a guaranteed minimum withdrawal benefit (GMWB) rider incorporating taxation and a ratchet mechanism for enhancing…

Portfolio Management · Quantitative Finance 2025-07-14 Jennifer Alonso-Garcia , Len Patrick Dominic M. Garces , Jonathan Ziveyi

Variable annuities with Guaranteed Minimum Withdrawal Benefits (GMWB) entitle the policy holder to periodic withdrawals together with a terminal payoff linked to the performance of an equity fund. In this paper, we consider the valuation of…

Pricing of Securities · Quantitative Finance 2023-08-08 Claudio Fontana , Francesco Rotondi

In a market with stochastic volatility and jumps, we consider a VIX-linked fee structure for variable annuity contracts with guaranteed minimum withdrawal benefits (GMWB). Our goal is to assess the effectiveness of the VIX-linked fee…

Risk Management · Quantitative Finance 2018-04-13 Michael A. Kouritzin , Anne MacKay

A variable annuity contract with Guaranteed Minimum Withdrawal Benefit (GMWB) promises to return the entire initial investment through cash withdrawals during the contract plus the remaining account balance at maturity, regardless of the…

Pricing of Securities · Quantitative Finance 2017-01-17 Pavel V. Shevchenko , Xiaolin Luo

In this paper we present a numerical valuation of variable annuities with combined Guaranteed Minimum Withdrawal Benefit (GMWB) and Guaranteed Minimum Death Benefit (GMDB) under optimal policyholder behaviour solved as an optimal stochastic…

Computational Finance · Quantitative Finance 2015-04-10 Xiaolin Luo , Pavel V. Shevchenko

In this paper, we study the price of Variable Annuity Guarantees, especially of Guaranteed Annuity Options (GAO) and Guaranteed Minimum Income Benefit (GMIB), and this in the settings of a derivative pricing model where the underlying spot…

Pricing of Securities · Quantitative Finance 2012-04-04 Griselda Deelstra , Grégory Rayée

Insurance companies often include very long-term guarantees in participating life insurance products, which can turn out to be very valuable. Under a guaranteed annuity options (G.A.O), the insurer guarantees to convert a policyholder's…

Portfolio Management · Quantitative Finance 2009-08-25 Matheus R Grasselli , Sebastiano Silla

In this paper, we review pricing of variable annuity living and death guarantees offered to retail investors in many countries. Investors purchase these products to take advantage of market growth and protect savings. We present pricing of…

Pricing of Securities · Quantitative Finance 2017-05-04 Pavel V. Shevchenko , Xiaolin Luo

A variable annuity contract with Guaranteed Minimum Withdrawal Benefit (GMWB) promises to return the entire initial investment through cash withdrawals during the policy life plus the remaining account balance at maturity, regardless of the…

Pricing of Securities · Quantitative Finance 2014-11-03 Xiaolin Luo , Pavel Shevchenko

Variable annuities, as a class of retirement income products, allow equity market exposure for a policyholder's retirement fund with electable additional guarantees to limit the downside risk of the market. Management fees and guarantee…

Pricing of Securities · Quantitative Finance 2017-05-12 Jin Sun , Pavel V. Shevchenko , Man Chung Fung

This paper offers a financial economic perspective on the optimal time (and age) at which the owner of a Variable Annuity (VA) policy with a Guaranteed Living Withdrawal Benefit (GLWB) rider should initiate guaranteed lifetime income…

Portfolio Management · Quantitative Finance 2018-11-27 H. Huang , M. A. Milevsky , T. S. Salisbury

Under the optimal withdrawal strategy of a policyholder, the pricing of variable annuities with Guaranteed Minimum Withdrawal Benefit (GMWB) is an optimal stochastic control problem. The surrender feature available in marketed products…

Pricing of Securities · Quantitative Finance 2015-08-03 Xiaolin Luo , Pavel Shevchenko

We construct a binomial model for a guaranteed minimum withdrawal benefit (GMWB) rider to a variable annuity (VA) under optimal policyholder behaviour. The binomial model results in explicitly formulated perfect hedging strategies funded…

Pricing of Securities · Quantitative Finance 2016-07-07 Cody B. Hyndman , Menachem Wenger

Refundable income annuities (IA), such as cash-refund and instalment-refund, differ in material ways from the life-only version beloved by economists. In addition to lifetime income they guarantee the annuitant or beneficiary will receive…

Pricing of Securities · Quantitative Finance 2021-11-03 Moshe A. Milevsky , Thomas S. Salisbury

In this paper we consider the pricing of variable annuities (VAs) with guaranteed minimum withdrawal benefits. We consider two pricing approaches, the classical risk-neutral approach and the benchmark approach, and we examine the associated…

Pricing of Securities · Quantitative Finance 2019-06-05 Jin Sun , Kevin Fergusson , Eckhard Platen , Pavel V. Shevchenko

Variable annuities (VA) are popular insurance products. VAs provides the insured with a guaranteed accumulation rate on their premium at maturity. In addition, the insured may receive extra benefit if returns of underlying funds are high…

Pricing of Securities · Quantitative Finance 2011-08-26 V. M. Belyaev

This paper proposes a market consistent valuation framework for variable annuities with guaranteed minimum accumulation benefit, death benefit and surrender benefit features. The setup is based on a hybrid model for the financial market and…

Mathematical Finance · Quantitative Finance 2019-05-24 Laura Ballotta , Ernst Eberlein , Thorsten Schmidt , Raghid Zeineddine

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…

General Finance · Quantitative Finance 2020-09-23 Andrea Molent

The option is a financial derivative, which is regularly employed in reducing the risk of its underlying securities. However, investing in option is still risky. Such risk becomes much severer for speculators who utilize option as a means…

Risk Management · Quantitative Finance 2017-08-08 Qi-Wen Wang , Jian-Jun Shu
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