Jose Enrique Figueroa-Lopez Assistant Professor of Statistics Purdue University West Lafayette, IN 47907 Office: Math 543. Phone: (765) 494 6036 E-mail: figueroa@stat.purdue.edu

Research Interests :

• Mathematical finance: Nonparametric calibration methods and portfolio optimization problems in continuous-time models. Emphasis on Levy driven and jump-diffusion models.
• Probability and Stochastic processes: Stochastic control, stochastic analysis, and simulation.
• Statistics: Nonparametric estimation using projection estimation, model selection, and adaptive methods.
• Information and coding theory: Concentration inequalities applied to data compression.

Teaching:

• Spring 2009:
  • MATH 515/STAT 540. Mathematics of Finance.
  • STAT 598F. Financial modeling with jump processes.
• Fall 2008:
• MATH 516/STAT 541. Advanced Probability and Options, with numerical methods.

Research:

• Articles:
  • Nonparametric estimation for Levy models based on discrete-sampling. To appear in the IMS Lecture Notes-Monograph Series (LNMS) of the 3rd Erich L. Lehmann Symposium.
  • Small-time moment asymptotics for Levy processes. Statistics and Probability Letters 78, 3355-3365, 2008. DOI:10.1016/j.spl.2008.07.012.
  • Risk bounds for the non-parametric estimation of Levy processes (with C. Houdré). In: High Dimensional Probability IV. IMS Lecture Notes (editors: E. Gine, V. Kolchinskii, W. Li, J. Zinn), 2006.
  • On the asymptotic redundancy of lossless block coding with two codeword lengths (with C. Houdré). In IEEE Transactions on Information Theory, 688-692, Vol. 51, 2005.

• Some Preprints and current work:
  • Jump-diffusion models driven by Levy processes. This version: March 2009. Invited paper to appear in the Handbook of Computational Finance, Jin-Chuan Duan, James E. Gentle, and Wolfgang Hardle (eds.). Springer.
  • Nonparametric estimation of time-changed Levy models under high-frequency data . This version: April 2009. Under revision.
  • Sieve-based confidence intervals and bands for Levy densities. This version: March 2009. Under revision.
  • Small-time expansions for the transition distribution of Levy processes (with C. Houdré). This version: November 2008. Under revision.
  • State-dependent utility maximization in Levy markets (with J. Ma). This version: January 2009. Under revision.

• Other manuscripts:
  • A selected survey of portfolio optimization problems.
  • An overview of a nonparametric estimation method for Levy processes (with C. Houdre).

Curriculum Vitae

Some interesting links:

• Maths and markets. Financial Times (03/21/2009) writes: "For the future we need more - and better - maths to underpin individual banks and the enhanced regulatory regime that will oversee them. Some of the expertise required is already out there, in universities, waiting to be put to use."

Talks:

• Sieve-based confidence intervals and bands for Levy densities. Mathematical statistics seminar. Department of Statistics. Purdue University.

• Non-parametric methods for L\'evy-based financial models. Workshop on Infinitely Divisible Processes. CIMAT. Guanajuato, Mexico. March 2009.

• Modeling and estimating the dynamics of asset prices. VIGRE Seminar, Purdue University, Fall 2008.

• Model selection for Levy processes based on discrete-sampling. The fifth international conference on High Dimensional Probabilty. CIRM, Luminy, France. May, 2008.

• State-dependent utility maximization in markets driven by additive Levy processes . AMS Spring Central Section Meeting, Bloomington, IN. Special Session on Financial Mathematics, April, 2008.

• State-dependent utility maximization in Levy markets. Seminar on Mathematical Finance and Financial Engineering. Georgia Tech. Department of Mathematics. Spring 2008.

• Introduction to pricing methods for credit derivatives. Computationa Finance Seminar, Purdue University, Spring 2008.

• Modeling and estimation of the dynamics of asset prices. VIGRE Seminar, Purdue University, Fall 2007.

• Model selection for Levy processes based on discrete-sampling . Statistics Research Colloquium, Purdue University, Fall 2007.

• Non-parametric estimation for some models driven by Levy processes,The Third Erich L. Lehmann Symposium, 2007.

• State-dependent utility maximization in Levy markets, Kent-Purdue Mini Symposium on Financial Mathematics, 2007

• State-dependent utility maximization in Levy markets, Probability and statistics seminar, USC, Feb. 2007.

• Notes, Seminar "Topics in Financial Mathematics", UCSB, Jan. 2007.

• Calibration and portfolio optimization issues in asset price modelling driven by Levy processes, ORIE Colloquium, Cornell, Jan. 2007.

• Estimation Methods for Levy based models of asset prices, Financial Mathematics Seminar, Statistics Department, UCSB, Oct. 2006
  • Slides Talk 1
  • Slides Talk 2
  • Notes

• Nonparametric methods for financial models driven by Levy processes, Special Colloquium, Department of Statistics, Purdue University, Mar. 2006

The content of this page and any opinions expressed therein are solely those of Jose E. Figueroa-Lopez.

Last modified: March 2009