Last updated: May 9, 2012
 
 
Selected publications Golf research  
 
Selected projects with Ph.D. students and visiting scholars
Stochastic Approximation: Multidimensional Stochastic Approximation: Adaptive Algorithms and Applications
MATLAB code for multidimensional stochastic approximation (zip file)
General Bounds and Finite-Time Improvement for Stochastic Approximation Algorithms (to appear in Operations Research)
Scaled and shifted KW stochastic optimization MATLAB code (zip file)
Variance Swaps and Jumps:The Effect of Jumps and Discrete Sampling on Volatility and Variance Swaps This is a corrected version of the paper with Ashish Jain which appeared in International Journal of Theoretical and Applied Finance.
 
 

Deniz Cicek is a Ph.D. student in the Decision, Risk, and Operations division of the business school. His research is focused on stochastic approximation algorithms. Working papers and MATLAB code can be downloaded from the links above.

Deniz can be contacted by e-mail at: dcicek05@gsb.columbia.edu

 

     
 

Attakrit Asvanunt was a Ph.D. student in the Industrial Engineering and Operations Research (IEOR) department. His doctoral dissertation is titled Applications of Dynamic Optimization to Strategic Pricing and Corporate Finance.

Attakrit can be contacted by e-mail at: attakrit.asvanunt@barclayscapital.com

     
 

Ashish Jain was a Ph.D. student in the Decision, Risk, and Operations division of the business school. His doctoral dissertation is titled Essays on Volatility Derivatives and Portfolio Optimization.

Ashish can be contacted by e-mail at: ashish.jain@barclayscapital.com

     
 

Zhidong Wang was a Ph.D. student in the Decision, Risk, and Operations division of the business school. His doctoral dissertation is titled Optimal Dynamic Allocation Between Taxable and Nontaxable Assets.

Zhidong can be contacted by e-mail at: zhwang@gmail.com

     
 

Ozgur Kaya was a Ph.D. student in the Industrial Engineering and Operations Research (IEOR) department. His doctoral dissertation is titled Exact Simulation of Financial Models with Stochastic Volatility and Jumps, and Lattice Methods for Corporate Debt Pricing.

Ozgur can be contacted by e-mail at: ozgur.kaya@barclayscapital.com

     
 

Roy Mashal was a Ph.D. student in the Decision, Risk, and Operations division of the business school. His doctoral dissertation is titled Inferring dependencies between financial assets with applications to multi-name credit derivatives.

 
 

Yusaku Yamamoto was a visiting scholar during 2001-2002 at the business school and the Center for Applied Probability. Yusaku is currently an associate professor at Nagoya University. He earned a Bachelor's degree in mathematical engineering and Master's degree in physical engineering, both from Tokyo University. In our paper, Application of the Fast Gauss Transform to Option Pricing, we develop a method for speeding up the computation of Bermudan and American option prices. The method is applied to models with jumps, stochastic volatility, and Broadie and Glasserman's stochastic mesh method. In our paper, A Double-Exponential Fast Gauss Transform Algorithm for Pricing Discrete Path-Dependent Options, we develop very efficient methods for pricing path-dependent options in the Black-Scholes and Merton jump-diffusion models.

Yusaku can be contacted by e-mail at: yamamoto@na.cse.nagoya-u.ac.jp

     
 

Menghui (Dsvid) Cao was a Ph.D. student in the Industrial Engineering and Operations Research (IEOR) department. He worked with Professor Steve Kou on the pricing of two-dimensional discrete barrier options and with Mark Broadie on Monte Carlo methods for the pricing of American options.

Menghui can be contacted by e-mail at: david.cao@gmail.com

 
 

Milena Todorova was a Ph.D. student in the finance and economics division of the business school. Milena earned a Bachelor's in Arts degree from the American University in Bulgaria and an MBA from Mendoza College of Business at the University of Notre Dame. Her doctoral dissertation is titled Essays on modeling derivative claims. One essay, Modeling Energy Commodity Futures: Is Seasonality Part of It?, analyzes the price dynamics of crude oil and natural gas futures prices.

Milena can be contacted by e-mail at: mit5@columbia.edu