Dr Len Patrick Garces

Dr Len Patrick Garces

Senior Lecturer
  • Doctor of Philosophy, University of South Australia
  • Master of Applied Mathematics (Major in Mathematical Finance), Ateneo de Manila University, Philippines
  • Bachelor of Science in Applied Mathematics (Major in Mathematical Finance), Ateneo de Manila University, Philippines
  • Bacheror of Arts (Major in Economics), Ateneo de Manila University, Philippines
Business School
School of Risk and Actuarial Studies

Len Patrick Garces is an applied mathematician whose research interests lie within the field of financial and actuarial mathematics, primarily on the applications of probability theory and stochastic analysis to tackle financial and actuarial problems (e.g. financial or insurance risk modelling and management, asset price modelling, term structure modelling, pricing and hedging financial derivatives) and the development of numerical and statistical methods to solve these problems.

He is currently a Senior Lecturer at the School of Risk and Actuarial Studies, UNSW Business School an an Affiliate of the UNSW Centre for Population Ageing Research. Prior to commencing at UNSW, Len was a Lecturer and Program Director of Quantitative Finance at the University of Technology Sydney (2023 - 2026) and a Senior Research Associate at the ARC Centre of Excellence in Population Ageing Research (2021 - 2023).

Len obtained his PhD from the University of South Australia in 2021. His PhD research focused on the use of stochastic volatility and jump-diffusion models and formulating corresponding numerical methods for option pricing. Len graduated in 2014 a BSc in Applied Mathematics (Mathematical Finance) and a BA in Economics and from Ateneo de Manila University. He obtained his Masters in Applied Mathematics (Mathematical Finance) in 2015 from the same institution.

  • Journal articles | 2026
    Garces LPD; Gómez F; Tang Q, 2026, 'Indifference pricing of mortality-linked securities using backward stochastic differential equations', Astin Bulletin, 56, pp. 510 - 536, http://dx.doi.org/10.1017/asb.2026.10088
    Journal articles | 2026
    Lim BG; Dayta D; Tiu BR; Tan RR; Garces LPD; Ikeda K, 2026, 'Dynamic factor analysis of price movements in the Philippine Stock Exchange', Financial Innovation, 12, http://dx.doi.org/10.1186/s40854-025-00807-7
    Journal articles | 2026
    Zhou Y; Garces LPD; Shen Y; Sherris M; Ziveyi J; Garces LP, 2026, 'Age-Dependent Multi-Cohort Affine Mortality Models with Cohort Correlation', North American Actuarial Journal, ahead-of-print, pp. 1 - 31, http://dx.doi.org/10.1080/10920277.2026.2682217
    Journal articles | 2025
    So KR; Cruz SC; Marcella EA; Briones J; Garces LPD, 2025, 'Uncertainty in Pricing and Risk Measurement of Survivor Contracts', Risks, 13, http://dx.doi.org/10.3390/risks13020035
    Journal articles | 2025
    Ungolo F; Garces LPDM; Sherris M; Zhou Y, 2025, 'AffineMortality: An R package for estimation, analysis, and projection of affine mortality models', Annals of Actuarial Science, 19, pp. 23 - 48, http://dx.doi.org/10.1017/S1748499524000149
    Journal articles | 2025
    Zhou Y; Garces LPD; Shen Y; Sherris M; Ziveyi J, 2025, 'Risk-sharing rules for mortality pooling products with stochastic and correlated mortality rates', Astin Bulletin, 55, pp. 585 - 614, http://dx.doi.org/10.1017/asb.2025.10064
    Journal articles | 2024
    Garces LPDM; Shen Y, 2024, 'Robust optimal investment and consumption strategies with portfolio constraints and stochastic environment', European Journal of Operational Research, http://dx.doi.org/10.1016/j.ejor.2024.12.010
    Journal articles | 2024
    Ungolo F; Garces LPDM; Sherris M; Zhou Y, 2024, 'Estimation, Comparison, and Projection of Multifactor Age–Cohort Affine Mortality Models', North American Actuarial Journal, 28, pp. 570 - 592, http://dx.doi.org/10.1080/10920277.2023.2238793
    Journal articles | 2021
    Garces LPDM; Cheang GHL, 2021, 'A numerical approach to pricing exchange options under stochastic volatility and jump-diffusion dynamics', Quantitative Finance, 21, pp. 2025 - 2054, http://dx.doi.org/10.1080/14697688.2021.1926534
    Journal articles | 2020
    Cheang GHL; Garces LPDM, 2020, 'Representation of exchange option prices under stochastic volatility jump-diffusion dynamics', Quantitative Finance, 20, pp. 291 - 310, http://dx.doi.org/10.1080/14697688.2019.1655785
    Journal articles | 2019
    Verzosa DMB; De Las Peñas MLAN; Aberin MAQ; Garces LPDM, 2019, 'App-based scaffolds for writing two-column proofs', International Journal of Mathematical Education in Science and Technology, 50, pp. 766 - 778, http://dx.doi.org/10.1080/0020739X.2018.1500654
    Journal articles | 2019
    de las Peñas MLAN; Verzosa DMB; Aberin MAQ; Garces LPDM; Francisco FF; Bautista EP; Tolentino MAC; Tabares WC, 2019, 'Digital simulations for grade 7 to 10 mathematics', Philippine Journal of Science, 148, pp. 735 - 749
    Journal articles | 2018
    Verzosa DMB; De Las Peñas MLAN; Aberin MAQ; Garces LPDM, 2018, 'App for addition and subtraction of integers', International Journal for Technology in Mathematics Education, 25, pp. 21 - 33, http://dx.doi.org/10.1564/tme_v25.4.02
    Journal articles | 2015
    Palanca-Tan R; Garces LPDM; Purisima ANC; Zaratan ACL, 2015, 'Tourism and crime: Evidence from the Philippines', Southeast Asian Studies, 4, pp. 565 - 580
  • Working Papers | 2026
    Boonen T; Dela Vega EJ; Garces LP, 2026, Optimal Dividend, Reinsurance, and Capital Injection for Collaborating Business Lines under Model Uncertainty, http://dx.doi.org, https://arxiv.org/abs/2603.25350
    Working Papers | 2025
    Alonso-Garcia J; Garces LPDM; Ziveyi J, 2025, Variable annuities: A closer look at ratchet guarantees, hybrid contract designs, and taxation, http://dx.doi.org10.48550/arxiv.2507.07358
    Working Papers | 2022
    Garces LP; Kolar J; Sherris M; Ungolo F, 2022, Affine Mortality Models with Jumps: Parameter Estimation and Forecasting, Elsevier, CEPAR Working Paper 2022/12, http://dx.doi.org10.2139/ssrn.4220454, https://cepar.edu.au/publications/working-papers/affine-mortality-models-jumps-parameter-estimation-and-forecasting
    Working Papers | 2020
    Garces LPDM; Cheang GHL, 2020, A Put-Call Transformation of the Exchange Option Problem under Stochastic Volatility and Jump Diffusion Dynamics, http://dx.doi.org, http://arxiv.org/abs/2002.10194v1
  • Conference Papers | 2021
    Garces LP; Bogomolov T; Chiera B, 2021, 'Regression-based approaches for simulation meta-modelling in the presence of heterogeneity and correlation', in Vervoort RW; Voinov AA; Evans JP; Marshall L (eds.), Modelling and Simulation Society of Australia and New Zealand, Sydney, NSW, pp. 827 - 833, presented at MODSIM2021, 24th International Congress on Modelling and Simulation, Sydney, NSW, 05 December 2021 - 10 December 2021, http://dx.doi.org/10.36334/modsim.2021.M5.garces
    Conference Papers | 2020
    Tan RRP; Ikeda K; Garces LPDM, 2020, 'On eigenvalue bounds for the finite-state birth-death process intensity matrix', in Journal of Physics Conference Series, http://dx.doi.org/10.1088/1742-6596/1593/1/012005

  • 2026: Ragnar Norberg Memorial Prize 2025, International Actuarial Association (IAA) Life Section (IAALS)
  • 2018-2021, 2015: Loyola Schools Scholarly Publication Awards, Ateneo de Manila University, Philippines
  • 2020: Ateneo Research Institute of Science and Technology Publication Awards, Ateneo de Manila University, Philippines
  • 2020: IMS Hannan Graduate Student Travel Award, Institute of Mathematical Sciences
  • 2018: UniSA International HDR Scholarshop and Research Training Program International Stipend, University of South Australia, Australia
  • 2018: Loyola Schools Faculty Development Grant for Graduate Studies Abroad, Ateneo de Manila University

Len currently works on applications of stochastic analysis to financial and actuarial problems, namely stochastic mortality modelling, option pricing, and financial risk modelling. Current projects include:

  • Design, valuation, and evaluation of retirement income and insurance products
  • Stochastic mortality modelling and applications to actuarial valuation
  • Robust optimal control in financial and insurance contexts (e.g. optimal consumption and investment, indifference pricing, optimal dividend problems)
  • Machine learning methods for climate modelling and forecasting and applications to insurance and financial problems
  • Optimal quantization methods for stochastic optimal control

His research has been published in leading journals in actuarial science, operations research, and quantitative finance such as the ASTIN Bulletin, the European Journal of Operational Research, and Quantitative Finance.

My Research Supervision

  • Damiru Ranasinghe (2026 to present), Master of Science (Research): Mathematical Sciences, University of Technology Sydney [Co-supervised with Erik Schlogl (UTS)]
  • Abdullah Radwan (2024 to present), Doctor of Philosophy: Mathematical Sciences, University of Technology Sydney [Co-supervised with Stephen Woodcock (UTS)]