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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

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

Valuing Guaranteed Lifelong Withdrawal Benefit (GLWB) has attracted significant attention from both the academic field and real world financial markets. As remarked by Forsyth and Vetzal the Black and Scholes framework seems to be…

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

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 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

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

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

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

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

The state-of-the-art proposes Life Care Annuities, that have been recently designed as variable annuity contracts with Long-Term Care payouts and Guaranteed Lifelong Withdrawal Benefits. In this paper, we propose more general features for…

Computational Finance · Quantitative Finance 2024-05-10 G. Apicella , A. Molent , M. Gaudenzi

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

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

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

This paper extends the valuation and optimal surrender framework for variable annuities with guaranteed minimum benefits in a L\'evy equity market environment by incorporating a stochastic interest rate described by the Hull-White model.…

Pricing of Securities · Quantitative Finance 2024-04-12 Ludovic Goudenège , Andrea Molent , Xiao Wei , Antonino Zanette

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 describes a general approach for stochastic modeling of assets returns and liability cash-flows of a typical pensions insurer. On the asset side, we model the investment returns on equities and various classes of fixed-income…

Risk Management · Quantitative Finance 2020-05-27 Sergio Alvares Maffra , John Armstrong , Teemu Pennanen

The purpose of the present paper is to incorporate stochastic interest rates into a matrix-approach to multi-state life insurance, where formulas for reserves, moments of future payments and equivalence premiums can be obtained as explicit…

Risk Management · Quantitative Finance 2022-11-18 Jamaal Ahmad , Mogens Bladt

Rate change calculations in the literature involve deterministic methods that measure the change in premium for a given policy. The definition of rate change as a statistical parameter is proposed to address the stochastic nature of the…

Portfolio Management · Quantitative Finance 2018-10-26 Roland R. Ramsahai

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
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