Risk allocation through shapley decompositions, with applications to variable annuities

F Godin, E Hamel, P Gaillardetz… - ASTIN Bulletin: The Journal …, 2023 - cambridge.org
This paper introduces a flexible risk decomposition method for life insurance contracts
embedding several risk factors. Hedging can be naturally embedded in the framework …

An optimal stochastic control framework for determining the cost of hedging of variable annuities

P Forsyth, K Vetzal - Journal of Economic Dynamics and Control, 2014 - Elsevier
An implicit partial differential equation (PDE) method is used to determine the cost of
hedging for a Guaranteed Lifelong Withdrawal Benefit (GLWB) variable annuity contract. In …

Option pricing under regime-switching models: Novel approaches removing path-dependence

F Godin, DA Trottier - Insurance: Mathematics and Economics, 2019 - Elsevier
A well-known approach for the pricing of options under regime-switching models is to use
the regime-switching Esscher transform (also called regime-switching mean-correcting …

Valuing equity-linked guaranteed minimum death benefits with European-style Asian payoffs under a regime switching jump-diffusion model

Y Wang, S Liu - Communications in Nonlinear Science and Numerical …, 2024 - Elsevier
This paper presents a novel and efficient approach to pricing equity-linked guaranteed
minimum death benefits (GMDB) with European-style geometric Asian and arithmetic Asian …

[HTML][HTML] Transitory mortality jump modeling with renewal process and its impact on pricing of catastrophic bonds

S Özen, Ş Şahin - Journal of Computational and Applied Mathematics, 2020 - Elsevier
A number of stochastic mortality models with transitory jump effects have been proposed for
the securitization of catastrophic mortality risks. Most of the studies on catastrophic mortality …

Approximation of a class of non-zero-sum investment and reinsurance games for regime-switching jump–diffusion models

T Bui, X Cheng, Z Jin, G Yin - Nonlinear Analysis: Hybrid Systems, 2019 - Elsevier
This work develops an approximation procedure for a class of non-zero-sum stochastic
differential investment and reinsurance games between two insurance companies. Both …

Hedging costs for variable annuities under regime-switching

P Azimzadeh, PA Forsyth, KR Vetzal - Hidden Markov Models in Finance …, 2014 - Springer
A general methodology is described in which policyholder behaviour is decoupled from the
pricing of a variable annuity based on the cost of hedging it, yielding two weakly coupled …

Pricing equity-linked guaranteed minimum death benefits with surrender risk by complex Fourier series expansion method

Y Wang - Journal of Mathematical Analysis and Applications, 2024 - Elsevier
This paper considers the pricing problem of an equity-linked guaranteed minimum death
benefit product with an expiration time of T, under the assumption of allowing surrender. To …

A hybrid deep learning method for controlled stochastic Kolmogorov systems with regime-switching

Y Zhang, Z Jin, J Wei - 2024 10th International Conference on …, 2024 - ieeexplore.ieee.org
In this paper, we employ numerical methods based on deep learning algorithms for solving
controlled stochastic Kolmogorov systems with regime-switching. Different from classical …

On fund mapping regressions applied to segregated funds hedging under regime-switching dynamics

DA Trottier, F Godin, E Hamel - Risks, 2018 - mdpi.com
Insurers issuing segregated fund policies apply dynamic hedging to mitigate risks related to
guarantees embedded in such policies. A typical industry practice consists of using fund …