Hybrid equity swap, cap, and floor pricing under stochastic interest by Markov chain approximation

JL Kirkby - European Journal of Operational Research, 2023 - Elsevier
Hybrid equity-rate derivatives are commonly traded between financial institutions, but are
challenging to price with traditional methods. Especially challenging are those contracts …

Pricing some life-contingent lookback options under regime-switching Lévy models

M Ai, Z Zhang - Journal of Computational and Applied Mathematics, 2022 - Elsevier
In this paper, we study the valuation problem of life-contingent lookback options embedded
in variable annuity with guaranteed minimum death benefit (GMDB). Specifically, the …

A general approach for lookback option pricing under Markov models

G Zhang, L Li - Quantitative Finance, 2023 - Taylor & Francis
We propose a computationally efficient method for pricing various types of lookback options
under Markov models. We utilize the model-free representations of lookback option prices …

The return barrier and return timer option with pricing under Levy processes

JL Kirkby, JP Aguilar - Expert Systems with Applications, 2023 - Elsevier
This work introduces two new financial derivatives into the finance literature. The first is the
return barrier option, which has emerged recently as a popular contract in the OTC markets …

Valuation of variable annuities with guaranteed minimum maturity benefits and periodic fees

M Ai, Y Wang, Z Zhang, D Zhu - Scandinavian Actuarial Journal, 2024 - Taylor & Francis
This paper focuses on the valuation of variable annuities with a guaranteed minimum
maturity benefit under a regime-switching Lévy model. The model allows policyholders to …

Valuation of a DB underpin hybrid pension under a regime-switching Lévy model

M Ai, Z Zhang, W Zhong - Journal of Computational and Applied …, 2023 - Elsevier
This paper studies the valuation problem of the defined benefit (DB) underpin guarantee.
We consider that the salary process follows a geometric Brownian motion, and the stochastic …

The Return Barrier and Return Timer Option with Pricing Under Lévy Processes

J Lars Kirkby, JP Aguilar - Available at SSRN 4308310, 2023 - papers.ssrn.com
This work introduces two new financial derivatives into the finance literature. The first is the
Return Barrier Option, which has emerged recently as a popular contract in the OTC …

[PDF][PDF] VIX Options Valuation via Continuous-time Markov Chain Approximation and Ito-Taylor Expansion

Z Cui, C Lee, M Liu, C Wu - 2023 - researchgate.net
We propose a novel analytical method to valuate VIX options under the general class of
affine and non-affine stochastic volatility models, which extends the current literature in …

Hybrid equity swap and cap pricing under stochastic interest by Markov chain approximation

J Kirkby - Available at SSRN 3901509, 2022 - papers.ssrn.com
Hybrid equity-rate derivatives are commonly traded between financial institutions, but are
challenging to price with traditional methods. Especially challenging are those contracts …