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Selected
publications |
Golf
research |
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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) |
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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) |
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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. |
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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
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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
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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
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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
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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
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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.
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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
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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
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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
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