Spline local basis methods for nonparametric density estimation

JL Kirkby, Á Leitao, D Nguyen - Statistic Surveys, 2023 - projecteuclid.org
This work reviews the literature on spline local basis methods for non-parametric density
estimation. Particular attention is paid to B-spline density estimators which have …

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 …

A general valuation framework for SABR and stochastic local volatility models

Z Cui, JL Kirkby, D Nguyen - SIAM Journal on Financial Mathematics, 2018 - SIAM
In this paper, we propose a general framework for the valuation of options in stochastic local
volatility (SLV) models with a general correlation structure, which includes the stochastic …

A general framework for discretely sampled realized variance derivatives in stochastic volatility models with jumps

Z Cui, JL Kirkby, D Nguyen - European Journal of Operational Research, 2017 - Elsevier
After the recent financial crisis, the market for volatility derivatives has expanded rapidly to
meet the demand from investors, risk managers and speculators seeking diversification of …

Efficient simulation of generalized SABR and stochastic local volatility models based on Markov chain approximations

Z Cui, JL Kirkby, D Nguyen - European Journal of Operational Research, 2021 - Elsevier
We propose a novel Monte Carlo simulation method for two-dimensional stochastic
differential equation (SDE) systems based on approximation through continuous-time …

[HTML][HTML] Valuing equity-linked death benefits in general exponential Lévy models

Z Zhang, Y Yong, W Yu - Journal of Computational and Applied …, 2020 - Elsevier
In this paper, a projection method combined with Fast Fourier Transform (FFT) is applied to
value equity-linked death benefit products. Specifically, we focus on valuation of the …

A unified approach to Bermudan and barrier options under stochastic volatility models with jumps

JL Kirkby, D Nguyen, Z Cui - Journal of Economic Dynamics and Control, 2017 - Elsevier
Many financial assets, such as currencies, commodities, and equity stocks, exhibit both
jumps and stochastic volatility, which are especially prominent in the market after the …

Equity-linked guaranteed minimum death benefits with dollar cost averaging

JL Kirkby, D Nguyen - Insurance: Mathematics and Economics, 2021 - Elsevier
In this paper, we analyze a form of equity-linked Guaranteed Minimum Death Benefit
(GMDB), whose payoff depends on a dollar cost averaging (DCA) style periodic investment …

Equity-linked annuity pricing with cliquet-style guarantees in regime-switching and stochastic volatility models with jumps

Z Cui, JL Kirkby, D Nguyen - Insurance: Mathematics and Economics, 2017 - Elsevier
In this paper, we develop a novel and efficient transform-based method to price equity-linked
annuities (ELAs), including equity-indexed annuities (EIAs) and cliquet-style payoff …

A general framework for time-changed Markov processes and applications

Z Cui, JL Kirkby, D Nguyen - European Journal of Operational Research, 2019 - Elsevier
In this paper, we propose a general approximation framework for the valuation of (path-
dependent) options under time-changed Markov processes. The underlying background …