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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

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

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

A variable annuity is an equity-linked financial product typically offered by insurance companies. The policyholder makes an upfront payment to the insurance company and, in return, the insurer is required to make a series of payments…

Pricing of Securities · Quantitative Finance 2019-11-25 Riley Jones , Adriana Ocejo

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

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

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

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

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

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

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

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

In this paper we investigate price and Greeks computation of a Guaranteed Minimum Withdrawal Benefit (GMWB) Variable Annuity (VA) when both stochastic volatility and stochastic interest rate are considered together in the Heston Hull-White…

Computational Finance · Quantitative Finance 2019-07-23 Ludovic Goudenège , Andrea Molent , Antonino Zanette

Valuing Guaranteed Minimum Withdrawal Benefit (GMWB) has attracted significant attention from both the academic field and real world financial markets. As remarked by Yang and Dai, the Black and Scholes framework seems to be inappropriate…

Pricing of Securities · Quantitative Finance 2019-10-21 Ludovic Goudenège , Andrea Molent , Antonino Zanette

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

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

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

Withdrawal guarantees ensure the periodical deduction of a constant dollar-amount from a fund investment for a fixed number of periods. If the fund depletes before the last withdrawal, the guarantor has to finance the outstanding…

Pricing of Securities · Quantitative Finance 2015-03-20 Andreas Kunz

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

We develop an efficient pricing approach for guaranteed minimum withdrawal benefits (GMWBs) with continuous withdrawals under a realistic modeling setting with jump-diffusions and stochastic interest rate. Utilizing an impulse stochastic…

Computational Finance · Quantitative Finance 2023-10-03 Yaowen Lu , Duy-Minh Dang
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