Efficient Asian option pricing under regime switching jump diffusions and stochastic volatility models

JL Kirkby, D Nguyen - Annals of Finance, 2020 - Springer
Utilizing frame duality and a FFT-based implementation of density projection we develop a
novel and efficient transform method to price Asian options for very general asset dynamics …

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 …

A data-driven framework for consistent financial valuation and risk measurement

Z Cui, JL Kirkby, D Nguyen - European Journal of Operational Research, 2021 - Elsevier
In this paper, we propose a general data-driven framework that unifies the valuation and risk
measurement of financial derivatives, which is especially useful in markets with thinly-traded …

Analysis of VIX-linked fee incentives in variable annuities via continuous-time Markov chain approximation

A MacKay, MC Vachon, Z Cui - Quantitative Finance, 2023 - Taylor & Francis
We consider the pricing of variable annuities (VAs) with general fee structures under a class
of stochastic volatility models which includes the Heston, Hull-White, Scott, α …

An analysis of dollar cost averaging and market timing investment strategies

JL Kirkby, S Mitra, D Nguyen - European Journal of Operational Research, 2020 - Elsevier
In this paper we present new theoretical and practical insights into the method of dollar cost
averaging (DCA) and averaging-style investment timing strategies, with a formal analysis of …

A general continuous time Markov chain approximation for multi-asset option pricing with systems of correlated diffusions

JL Kirkby, DH Nguyen, D Nguyen - Applied Mathematics and Computation, 2020 - Elsevier
Abstract Continuous time Markov Chain (CTMC) approximation techniques have received
increasing attention in the option pricing literature, due to their ability to solve complex …

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 …

Analysis of Markov chain approximation for Asian options and occupation-time derivatives: Greeks and convergence rates

W Yang, J Ma, Z Cui - Mathematical Methods of Operations Research, 2021 - Springer
The continuous-time Markov chain (CTMC) approximation method is a powerful tool that has
recently been utilized in the valuation of derivative securities, and it has the advantage of …

On pricing of discrete Asian and Lookback options under the Heston model

L Perotti, LA Grzelak - International Journal of Computer …, 2024 - Taylor & Francis
We propose a new, data-driven approach for efficient pricing of–fixed-and floating-strike–
discrete arithmetic Asian and Lookback options when the underlying process is driven by …

The bilateral Gamma motion: Calibration and option pricing

JL Kirkby, CA Rinella, JP Aguilar - Frontiers of Mathematical …, 2024 - aimsciences.org
This work considers the calibration of exponential Lévy models to market options data and
the subsequent pricing of exotic options. We focus on a natural and promising extension of …