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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

We consider the pricing of variable annuities (VAs) with general fee structures under popular stochastic volatility models such as Heston, Hull-White, Scott, $\alpha$-Hypergeometric, $3/2$, and $4/2$ models. In particular, we analyze the…

Computational Finance · Quantitative Finance 2022-08-01 Zhenyu Cui , Anne MacKay , Marie-Claude Vachon

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 Annuity (VA) products expose insurance companies to considerable risk because of the guarantees they provide to buyers of these products. Managing and hedging these risks requires insurers to find the value of key risk metrics for…

Computational Finance · Quantitative Finance 2017-01-17 Seyed Amir Hejazi , Kenneth R. Jackson , Guojun Gan

This paper investigates the valuation of variable annuity contracts with an early surrender option under non-Markovian models. Moreover, policyholders are provided with guaranteed minimum maturity and death benefits to protect against the…

Computational Finance · Quantitative Finance 2026-04-23 Wenyuan Li , Haoqi Lyu

The rapidly growing hedge fund industry has provided individual and institutional investors with new investment vehicles and styles of management. It has also brought forward a new form of performance contract: hedge fund managers receive…

Probability · Mathematics 2016-08-16 Marc Atlan , Hélyette Geman , Marc Yor

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 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

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 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

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

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

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 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

To make medium- and long-term insurance products attractive, it is essential to enable participation in stock market returns. However, to eliminate downside risk, guarantees must be included, which naturally leads to the challenge of…

Mathematical Finance · Quantitative Finance 2025-10-09 Raquel M. Gaspar , Thorsten Schmidt

We study the problem of pricing variable annuities with a multi-layer expense strategy, under which the insurer charges fees from the policyholder's account only when the account value lies in some pre-specified disjoint intervals, where on…

Probability · Mathematics 2015-12-14 Jiang Zhou , Lan Wu

In the article we consider accumulated values of annuities-certain with yearly payments with independent random interest rates. We focus on annuities with payments varying in arithmetic and geometric progression which are important basic…

Statistics Theory · Mathematics 2007-06-13 K. Burnecki , A. Marciniuk , A. Weron

This paper studies the model risk of the Black-Scholes (BS) model in pricing and risk-managing variable annuities motivated by its wide usage in the insurance industry. Specifically, we derive a model-free decomposition of the no-arbitrage…

Mathematical Finance · Quantitative Finance 2022-08-30 Zhiyi Shen

In this paper we provide a theoretical analysis of Variable Annuities with a focus on the holder's right to an early termination of the contract. We obtain a rigorous pricing formula and the optimal exercise boundary for the surrender…

Mathematical Finance · Quantitative Finance 2024-05-06 Tiziano De Angelis , Alessandro Milazzo , Gabriele Stabile

In this paper, we are concerned with the valuation of Guaranteed Annuity Options (GAOs) under the most generalised modelling framework where both interest and mortality rates are stochastic and correlated. Pricing these type of options in…

Pricing of Securities · Quantitative Finance 2017-07-05 Raj Kumari Bahl , Sotirios Sabanis
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