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2025

Journal Article

Numerical analysis of American option pricing in a two-asset jump-diffusion model

Zhou, Hao and Dang, Duy-Minh (2025). Numerical analysis of American option pricing in a two-asset jump-diffusion model. Applied Numerical Mathematics.

Numerical analysis of American option pricing in a two-asset jump-diffusion model

2024

Journal Article

Fourier neural network approximation of transition densities in finance

Du, Rong and Dang, Duy-Minh (2024). Fourier neural network approximation of transition densities in finance. SIAM Journal on Scientific Computing.

Fourier neural network approximation of transition densities in finance

2024

Journal Article

A semi-Lagrangian ϵ-monotone Fourier method for continuous withdrawal GMWBs under jump-diffusion with stochastic interest rate

Lu, Yaowen and Dang, Duy-Minh (2024). A semi-Lagrangian ϵ-monotone Fourier method for continuous withdrawal GMWBs under jump-diffusion with stochastic interest rate. Numerical Methods for Partial Differential Equations, 40 (3) e23075, 1-50. doi: 10.1002/num.23075

A semi-Lagrangian ϵ-monotone Fourier method for continuous withdrawal GMWBs under jump-diffusion with stochastic interest rate

2024

Journal Article

A monotone numerical integration method for mean-variance portfolio optimization under jump-diffusion models

Zhang, Hanwen and Dang, Duy-Minh (2024). A monotone numerical integration method for mean-variance portfolio optimization under jump-diffusion models. Mathematics and Computers in Simulation, 219, 112-140. doi: 10.1016/j.matcom.2023.12.011

A monotone numerical integration method for mean-variance portfolio optimization under jump-diffusion models

2021

Journal Article

Practical investment consequences of the scalarization parameter formulation in dynamic mean-variance portfolio optimization

van Staden, Pieter M., Dang, Duy-Minh and Forsyth, Peter A. (2021). Practical investment consequences of the scalarization parameter formulation in dynamic mean-variance portfolio optimization. International Journal of Theoretical and Applied Finance, 24 (05) 2150029, 2150029. doi: 10.1142/S0219024921500291

Practical investment consequences of the scalarization parameter formulation in dynamic mean-variance portfolio optimization

2021

Journal Article

The surprising robustness of dynamic Mean-Variance portfolio optimization to model misspecification errors

van Staden, Pieter M., Duy-Minh Dang, and Forsyth, Peter A. (2021). The surprising robustness of dynamic Mean-Variance portfolio optimization to model misspecification errors. European Journal of Operational Research, 289 (2), 774-792. doi: 10.1016/j.ejor.2020.07.021

The surprising robustness of dynamic Mean-Variance portfolio optimization to model misspecification errors

2021

Journal Article

On the distribution of terminal wealth under dynamic mean-variance optimal investment strategies

van Staden, Pieter M., Dang, Duy-Minh and Forsyth, Peter A. (2021). On the distribution of terminal wealth under dynamic mean-variance optimal investment strategies. Siam Journal On Financial Mathematics, 12 (2), 566-603. doi: 10.1137/20m1338241

On the distribution of terminal wealth under dynamic mean-variance optimal investment strategies

2019

Journal Article

Mean-Quadratic Variation portfolio optimization: a desirable alternative to time-consistent mean-variance optimization?

van Staden, Pieter, Dang, Duy-Minh and Forsyth, Peter (2019). Mean-Quadratic Variation portfolio optimization: a desirable alternative to time-consistent mean-variance optimization?. SIAM Journal on Financial Mathematics, 10 (3), 815-856. doi: 10.1137/18M1222570

Mean-Quadratic Variation portfolio optimization: a desirable alternative to time-consistent mean-variance optimization?

2019

Journal Article

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

Berthe, Edouard, Dang, Duy-Minh and Ortiz-Gracia, Luis (2019). A Shannon wavelet method for pricing foreign exchange options under the Heston multi-factor CIR model. Applied Numerical Mathematics, 136, 1-22. doi: 10.1016/j.apnum.2018.09.013

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

2018

Journal Article

Time-consistent mean-variance portfolio allocation: a numerical impulse control approach

van Staden, Pieter, Dang, Duy-Minh and Forsyth, Peter (2018). Time-consistent mean-variance portfolio allocation: a numerical impulse control approach. Insurance: Mathematics and Economics, 83, 9-28. doi: 10.1016/j.insmatheco.2018.08.003

Time-consistent mean-variance portfolio allocation: a numerical impulse control approach

2018

Journal Article

Pricing American Parisian down-and-out call options

Le, Nhat-Tan, Lu, Xiaoping, Zhu, Song-Ping and Dang, Duy-Minh (2018). Pricing American Parisian down-and-out call options. Applied Mathematics and Computation, 305, 330-347. doi: 10.1016/j.amc.2017.02.015

Pricing American Parisian down-and-out call options

2018

Journal Article

Partial differential equation pricing of contingent claims under stochastic correlation

Leung, Nat Chun-Ho, Christara, Christina C. and Dang, Duy-Minh (2018). Partial differential equation pricing of contingent claims under stochastic correlation. SIAM Journal on Scientific Computing, 40 (1), B1-B31. doi: 10.1137/16M1099017

Partial differential equation pricing of contingent claims under stochastic correlation

2017

Journal Article

A multi-level dimension reduction Monte-Carlo method for jump-diffusion models

Dang, Duy-Minh (2017). A multi-level dimension reduction Monte-Carlo method for jump-diffusion models. Journal of Computational and Applied Mathematics, 324, 49-71. doi: 10.1016/j.cam.2017.04.014

A multi-level dimension reduction Monte-Carlo method for jump-diffusion models

2017

Journal Article

A dimension reduction Shannon-wavelet based method for option pricing

Dang, Duy-Minh and Ortiz-Gracia, Luis (2017). A dimension reduction Shannon-wavelet based method for option pricing. Journal of Scientific Computing, 75 (2), 1-29. doi: 10.1007/s10915-017-0556-y

A dimension reduction Shannon-wavelet based method for option pricing

2017

Journal Article

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

Dang, Duy-Minh, Jackson, Kenneth R. and Sues, Scott (2017). A dimension and variance reduction Monte-Carlo method for option pricing under jump-diffusion models. Applied Mathematical Finance, 24 (3), 1-41. doi: 10.1080/1350486X.2017.1358646

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

2017

Journal Article

A decomposition approach via Fourier sine transform for valuing American knock-out options with time-dependent rebates

Le, Nhat-Tan, Dang, Duy-Minh and Khanh, Tran-Vu (2017). A decomposition approach via Fourier sine transform for valuing American knock-out options with time-dependent rebates. Journal of Computational and Applied Mathematics, 317, 652-671. doi: 10.1016/j.cam.2016.12.030

A decomposition approach via Fourier sine transform for valuing American knock-out options with time-dependent rebates

2017

Journal Article

The 4% rule revisited: a pre-commitment optimal mean-variance approach in wealth management

Dang, Duy-Minh, Forsyth, Peter and Vetzal, Ken (2017). The 4% rule revisited: a pre-commitment optimal mean-variance approach in wealth management. Quantitative Finance, 17 (3), 335-351. doi: 10.1080/14697688.2016.1205211

The 4% rule revisited: a pre-commitment optimal mean-variance approach in wealth management

2016

Journal Article

Better than pre-commitment optimal mean-variance portfolio allocation: a semi-self-financing Hamilton-Jacobi-Bellman approach

Dang, Duy-Minh and Forsyth, Peter (2016). Better than pre-commitment optimal mean-variance portfolio allocation: a semi-self-financing Hamilton-Jacobi-Bellman approach. European Journal of Operational Research, 250 (3), 827-841. doi: 10.1016/j.ejor.2015.10.015

Better than pre-commitment optimal mean-variance portfolio allocation: a semi-self-financing Hamilton-Jacobi-Bellman approach

2016

Journal Article

Convergence of the embedded mean-variance optimal points with discrete sampling

Dang, Duy-Minh, Forsyth, Peter A. and Li, Yuying (2016). Convergence of the embedded mean-variance optimal points with discrete sampling. Numerische Mathematik, 132 (2), 271-302. doi: 10.1007/s00211-015-0723-8

Convergence of the embedded mean-variance optimal points with discrete sampling

2016

Journal Article

Numerical schemes for pricing Asian options under state-dependent regime-switching jump-diffusion models

Dang, Duy-Minh, Nguyen, Duy and Sewell, Granville (2016). Numerical schemes for pricing Asian options under state-dependent regime-switching jump-diffusion models. Computers and Mathematics with Applications, 71 (1), 443-458. doi: 10.1016/j.camwa.2015.12.017

Numerical schemes for pricing Asian options under state-dependent regime-switching jump-diffusion models