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Adriana Ocejo Monge

Mathematics and Statistics
actuarial science
controlled diffusion processes
derivatives pricing
indifference pricing
interest rate modeling
mathematical finance
optimal stopping
portfolio allocation
probability
reinsurance
stochastic calculus
stochastic optimal control
stochastic processes
stochastic volatility
variable annuities
Related People
Jaya Bishwal
Steven Clark
Wafaa Shaban
Aziz Issaka
Russell Keanini
Isaac Sonin
Stanislav Molchanov

Research areas of interest

  • Mathematical finance and actuarial science: risk management, derivatives pricing, stochastic volatility, interest rate modeling, portfolio allocation, variable annuities, retirement planning.
  • Stochastic optimal control: optimal stopping, controlled diffusion processes, hybrid switching diffusions, martingale methods.

Publications

  • (2014)- Monotonicity of the value function of a two-dimensional optimal stopping problem. With S. Assing and S. Jacka. In Annals of Applied Probability. [Link] [Preprint]
  • (2014)- Time-change and control of stochastic volatility. PhD Thesis. [PDF]
  • (2018)- On the regularity of American options with regime-switching uncertainty. With S. Jacka. In Stochastic Processes and their Applications. [Link] [Preprint]
  • (2018) Asian option as a fixed-point. In Journal of Fixed Point Theory and Applications. [Link] [Preprint]
  • (2018) Explicit solutions to utility maximization problems in a regime-switching market model via Laplace transforms. In Nonlinear Analysis: Hybrid Systems. [Link] [Preprint]
  • (2019) Assessing Guaranteed Minimum Income Benefits and rationality of exercising reset options in variable annuities. With R. Jones. In  International Journal of Statistics and Probability. [Link]
  • (2020) Integral equation characterization of the Feynman-Kac formula for a regime-switching diffusion. In Results in Applied Mathematics. [Link].
  • (2022) Portfolio optimization with a guaranteed minimum maturity benefit and risk-adjusted fees. With Anne MacKay. In Methodology and Computing in Applied Probability, Special Issue: “Advances in Actuarial Science and Quantitative Finance”.
    J.L. Doob Best Paper Award. [Link] [Preprint]

Education

  • PhD in Statistics (2014), University of Warwick, UK. Time-change and control of stochastic volatility.
  • MSc in Mathematics (2009), Universidad de Sonora, Mexico. American option pricing as a free-boundary problem.
  • BSc in Mathematics (2007), Universidad de Sonora, Mexico.The Henstock-Kurzweil integral and the Fundamental Theorem of Calculus (in Spanish).
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