[HTML][HTML] A monotone numerical integration method for mean–variance portfolio optimization under jump-diffusion models

H Zhang, DM Dang - Mathematics and Computers in Simulation, 2024 - Elsevier
We develop a highly efficient, easy-to-implement, and strictly monotone numerical
integration method for Mean-Variance (MV) portfolio optimization. This method proves very …

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 …

A laser-induced fluorescent detector for pesticide residue detection based on the spectral recognition method

S Zhao, J Lei, D Huo, C Hou, P Yang, J Huang… - Analytical …, 2018 - pubs.rsc.org
In the present study, a laser-induced fluorescent (LIF) detector was developed for pesticide
residue detection based on a microfluidic-based fluorescent sensor array (MFSA). A spectral …

Wavelet-optimized compact finite difference method for convection–diffusion equations

M Mehra, KS Patel, A Shukla - International Journal of Nonlinear …, 2021 - degruyter.com
In this article, compact finite difference approximations for first and second derivatives on the
non-uniform grid are discussed. The construction of diffusion wavelets using compact finite …

[PDF][PDF] The CTMC–Heston model: calibration and exotic option pricing with SWIFT

A Leitao Rodriguez, J Lars Kirkby… - Journal of …, 2021 - papers.ssrn.com
This work presents an efficient computational framework for pricing a general class of exotic
and vanilla options under a versatile stochastic volatility model. In particular, we propose the …

Fourier Neural Network Approximation of Transition Densities in Finance

R Du, DM Dang - arXiv preprint arXiv:2309.03966, 2023 - arxiv.org
This paper introduces FourNet, a novel single-layer feed-forward neural network (FFNN)
method designed to approximate transition densities for which closed-form expressions of …

A Shannon wavelet method for pricing foreign exchange options under the Heston multi-factor CIR model

E Berthe, DM Dang, L Ortiz-Gracia - Applied Numerical Mathematics, 2019 - Elsevier
We present a robust and highly efficient Shannon wavelet pricing method for plain-vanilla
foreign exchange European options under the jump-extended Heston model with multi …

A dimension and variance reduction Monte-Carlo method for option pricing under jump-diffusion models

DM Dang, KR Jackson, S Sues - Applied Mathematical Finance, 2017 - Taylor & Francis
We develop a highly efficient MC method for computing plain vanilla European option prices
and hedging parameters under a very general jump-diffusion option pricing model which …

[HTML][HTML] Computation of market risk measures with stochastic liquidity horizon

G Colldeforns-Papiol, L Ortiz-Gracia - Journal of Computational and …, 2018 - Elsevier
Abstract The Basel Committee of Banking Supervision has recently set out the revised
standards for minimum capital requirements for market risk. The Committee has focused …

[HTML][HTML] A multi-level dimension reduction Monte-Carlo method for jump–diffusion models

DM Dang - Journal of Computational and Applied Mathematics, 2017 - Elsevier
This paper develops and analyses convergence properties of a novel multi-level Monte-
Carlo (mlMC) method for computing prices and hedging parameters of plain-vanilla …