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Probability and Statistics in Complex Systems: Genomics, Networks, and Financial Engineering, September 1, 2003 - June 30, 2004

Spring 2004

IMA Workshop 8:

Model Implementation, Algorithms and Software Issues

May 3-7, 2004

Organizers:

Joseph Langsam
Morgan Stanley
Joseph.Langsam@morganstanley.com

and

George C. Papanicolaou
Robert Grimmett Professor in Mathematics
Mathematics Department
Stanford University
papanico@math.stanford.edu
http://georgep.stanford.edu

Schedule Participants Registration Feedback
Abstracts
Material from Talks
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Another aspect of the program in Quantitative Finance and Econometrics is the implementation of models as numerical algorithms and the building of software applications. Financial models for asset pricing need to be versatile in terms of data input, fault tolerant and fast. These stringent requirements often challenge researchers and developers of financial software. The development of software requires, therefore, an understanding of the capabilities of business-type computers, how data is accessed and how mathematical models are implemented at the level of algorithms. By inviting some of the leading practitioners in the area of financial algorithms and software companies, we hope to showcase the state-of-the-art in financial engineering.

Mathematical Areas of Relevance:

  • Numerical solution of HJB equations

  • Optimization

  • Monte Carlo Simulation

  • Random number generators

  • Numerical solution of SDEs

  • Numerical Linear Algebra

  • Stochastic Optimization
WORKSHOP SCHEDULE
Monday Tuesday
MONDAY, MAY 3
All talks are in Lecture Hall EE/CS 3-180 unless otherwise noted.
8:30 Coffee and Registration

Reception Room EE/CS 3-176

9:15 Douglas N. Arnold, Scot Adams, and Organizers Welcome and Introduction
9:30 Joseph Langsam
Morgan Stanley

Changing Dynamics in the Securities Market

Slides:  html   pdf   ps   ppt

10:20
Discussion
10:30 Coffee Break Reception Room EE/CS 3-176
11:00 Steven E. Shreve
Carnegie Mellon University

A Two-Person Game for Pricing Convertible Bonds

Slides:   pdf    ps

11:50
Discussion
12:00
Lunch Break
1:30 Philip H. Dybvig
Washington University

Mandatory or Voluntary Retirement

Slides:   pdf

2:20
Discussion
2:30 Coffee Break Reception Room EE/CS 3-176
3:00 SECOND CHANCES, i.e., speakers of the day respond to further questions, suggestions, re-frame their main points, look toward future directions.
3:30
Group Photo here
3:40

IMA Tea and more (with POSTER SESSION)
400 Lind Hall

Michael Ludkovski
Princeton University
Convenience Yield Model with Partial Observations and Exponential Utility
Mathias Rousset
Université Paul Sabatier
Sampling Prescribed Distributions with Interacting Particle Systems
Mihai Sîrbu
Carnegie Mellon University

Perpetual Convertible Bonds

Slides:   pdf

Yong Zeng
University of Missouri at Kansas City
A Class of Micro-Movement Models of Asset Price with Continuous-Time Bayesian Inference via Filtering
TUESDAY, MAY 4
All talks are in Lecture Hall EE/CS 3-180 unless otherwise noted.
9:00 Coffee Reception Room EE/CS 3-176
9:30 Jean-Pierre Fouque
North Carolina State University

Variance Reduction for MC Methods to Evaluate Option Prices Under Multi-Factor Stochastic Volatility Models

Slides:   pdf

10:20
Discussion
10:30 Coffee Break Reception Room EE/CS 3-176
11:00 Yong Zeng
University of Missouri at Kansas City

A General Equilibrium Model of the Term Structure of Interest Rates Under Regime-Switching Risk

Slides:   pdf   ps
Paper:   pdf   ps

11:50
Discussion
12:00
Lunch Break
1:30 David C. Heath
Carnegie Mellon University

Efficient Option Valuation Using (Non-Recombining) Trees

Slides:   pdf
Paper:   pdf

2:20
Discussion
2:30 Coffee Break Reception Room EE/CS 3-176
3:00 SECOND CHANCES, i.e., speakers of the day respond to further questions, suggestions, re-frame their main points, look toward future directions.
3:30 walk along the Mississippi, weather permitting
WEDNESDAY, MAY 5
All talks are in Lecture Hall EE/CS 3-180 unless otherwise noted.
9:00 Coffee Reception Room EE/CS 3-176
9:30 Ron S. Dembo
Algorithmics Incorporated

Risk Measurement; Risk Architecture and the Bank of the Future

Slides:   html    pdf    ps    ppt

10:20
Discussion
10:30 Coffee Break Reception Room EE/CS 3-176
11:00 Paul Glasserman
Columbia University

Monte Carlo Pricing of American Options: Overview and New Results

Slides:   pdf
Paper:   pdf

11:50
Discussion
12:00
Lunch Break
1:30 Pierre Collin-Dufresne
University of California, Berkeley

Identification and Estimation of 'Maximal' Affine Term Structure Models: An Application to Stochastic Volatility

Slides:   pdf
Paper:
  pdf

2:20
Discussion
2:30 Coffee Break Reception Room EE/CS 3-176
3:00 SECOND CHANCES, i.e., speakers of the day respond to further questions, suggestions, re-frame their main points, look toward future directions.
THURSDAY, MAY 6
All talks are in Lecture Hall EE/CS 3-180 unless otherwise noted.
9:00 Coffee Reception Room EE/CS 3-176
9:30 Curtis Randall
SciComp Inc.
Software Synthesis - Pricing without Programming
10:20
Discussion
10:30 Coffee Break Reception Room EE/CS 3-176
11:00 Gregory R. Duffee
University of California-Berkeley

Estimation of Dynamic Term Structure Models

Slides: duffee_ima_present.pdf
Paper:   duffee_stanton.pdf

11:50
Discussion
12:00
Lunch Break
1:30 Dmitry Kramkov
Carnegie Mellon University

Risk-Tolerance Wealth Processes and Sensitivity Analysis of Utility Based Prices

Slides:   pdf

2:20
Discussion
2:30 Coffee Break Reception Room EE/CS 3-176
3:00 SECOND CHANCES, i.e., speakers of the day respond to further questions, suggestions, re-frame their main points, look toward future directions.
6:00 Workshop Dinner Mangia Restaurant
1501 University Avenue
FRIDAY, MAY 7
NOTE THE ABBREVIATED SCHEDULE FOR FRIDAY; FIRST TALK AT 9:10
All talks are in Lecture Hall EE/CS 3-180 unless otherwise noted.
9:00 Coffee Reception Room EE/CS 3-176
9:10 Srdjan D. Stojanovic
University of Cincinnati

Pricing Options Under Stochastic Volatility: Complete Solution

Paper:   pdf

10:00
Discussion
10:10 Coffee Break Reception Room EE/CS 3-176
10:20 Louis Scott
Morgan Stanley & Co.

Stochastic Volatility and Jumps: Risk Management and Hedging Strategies

Slides: LOS_Slides_SVJ_2004.pdf

11:10
Discussion
11:20 Coffee Break Reception Room EE/CS 3-176
11:30 SECOND CHANCES, i.e., speakers of the day respond to further questions, suggestions, re-frame their main points, look toward future directions.
11:50
Concluding Remarks by Organizers
12:00
End of Workshop
Monday Tuesday

LIST OF CONFIRMED PARTICIPANTS
Name Department Affiliation
Scot Adams Institute for Mathematics and its Applications University of Minnesota
Greg Anderson School of Mathematics University of Minnesota
Douglas N. Arnold Institute for Mathematics and its Applications University of Minnesota
Donald G. Aronson Institute for Mathematics and its Applications University of Minnesota
Gerard Awanou Institute for Mathematics and its Applications University of Minnesota
Hee-Jeong Baek Department of Mathematics Seoul National University (BK21)
Karen Ball   University of Minnesota
Antar Bandyopadhyay   University of Minnesota
Peter Bank Department of Mathematics Humboldt University of Berlin
Luca Benzoni Carlson Finance Department University of Minnesota
Maury Bramson Department of Mathematics University of Minnesota
Olga Brezhneva   University of Minnesota
Colette Calmelet Department of Physics and Mathematics Tennessee State University
Rene Carmona Operations Research and Financial Engineering Princeton University
James B. Carson   RisQuant Energy
Pin Johnny Chung Investment & Risk Management Chung ALM
Gregory Ciresi Department of Mathematics Courant Institute, New York University
Pierre Collin-Dufresne   Carnegie Mellon University
Peter Cotton   Morgan Stanley
Ron Dembo   Algorithmics Inc.
Greg Duffee Haas School of Business University of California - Berkeley
Philip H. Dybvig Olin School of Business Washington University
Hans Foellmer Institut fur Mathematik Humboldt Universitat zu Berlin
Jean-Pierre Fouque Department of Mathematics North Carolina State University
Peter Fraenkel Quantitative Programming Morgan Stanley & Co.
Shmuel Friedland Department of Mathematics University of Illinois - Chicago
Tim Garoni Institute for Mathematics and its Applications University of Minnesota
Paul Glasserman Graduate School of Business Columbia University
Anne Gundel Institu fuer Mathematik Humboldt University Berlin
Chuan-Hsiang Han Ford Company University of Minnesota
David C. Heath Department of Mathematical Sciences Carnegie Mellon University
Ulrich Horst Institut für Mathematik Humboldt Universität zu Berlin
Julien Hugonnier Department of Mathematical Finance HEC Montreal
Naresh Jain School of Mathematics University of Minnesota
Karel Janecek Department of Mathematical Sciences Carnegie Mellon University
Lili Ju   University of Minnesota
Yakov Kanter   Morgan Stanley
Mohammad Kazim Khan Department of Mathematics Kent State University
Hye-Ryoung Kim   Seoul National University (BK21)
Igor Kojanov Carlson School of Management University of Minnesota
Dmitry Kramkov Center for Computational Finance Carnegie Mellon University
Thomas G. Kurtz Department of Mathematics and Statistics University of Wisconsin
Joseph A. Langsam   Morgan Stanley
Bernard Lapeyre CERMICS Ecole Nationale des Ponts et Chaussées
Jeong Hyun Lee Department of Mathematics Seoul National University (SRCCS)
Guang-Tsai Lei Physiology and Bio-Physics Mayo Clinic
Michael Ludkovski Department of Operations Research & Financial Engineering Princeton University
Richard P. McGehee School of Mathematics University of Minnesota
Oana Mocioalca Department of Mathematics Purdue University
Gary Nan Tie   The St. Paul Companies
Amir Niknejad Department of Mathematics University of Illinois - Chicago
George C. Papanicolaou Department of Mathematics Stanford University
Lea Popovic Institute for Mathematics and its Applications University of Minnesota
Curtis Randall   SciComp Inc.
Greg Rempala Department of Mathematics University of Louisville
Luis Jose Roman Department of Mathematical Sciences Worcester Polytechnic Institute
Mathias Rousset Lab. statistique et probabilités Universite Paul Sabatier
Fadil Santosa Institute for Mathematics and its Applications University of Minnesota
Arnd Scheel Institute for Mathematics and its Applications University of Minnesota
Louis Scott   Morgan Stanley & Co.
Sashirekha Shanmugavelu Department of Computer Engineering University of Minnesota
Steven E. Shreve Department of Mathematical Science Carnegie Mellon University
Mihai Sirbu Department of Mathematical Sciences Carnegie Mellon University
Srdjan Stojanovic Department of Mathematical Sciences University of Cincinnati
Hui Wang Division of Applied Mathematics Brown University
Xiaodi Wang Department of Mathematics Western Connecticut State University
Lin Xu Department of Fix Income Morgan Stanley & Co.
Yuhong Yang Department of Statistics Iowa State University
Ofer Zeitouni School of Mathematics University of Minnesota
Yong Zeng Department of Mathematics and Statistics University of Missouri - Kansas City
Jun Zhao   University of Minnesota


Photo Gallery       Material from Talks       Abstracts

Probability and Statistics in Complex Systems: Genomics, Networks, and Financial Engineering, September 1, 2003 - June 30, 2004