|
Probability
and Statistics in Complex Systems: Genomics, Networks, and Financial
Engineering, September 1, 2003 - June 30, 2004
Spring
2004
IMA
Short Course:
Tools
for Modeling and Data Analysis in Finance/Asset Pricing
March
29-April 2, 2004
Topics
covered: This tutorial recounts the state of the art in
asset pricing theory and modeling. In many cases, models can
be crucial for decision-making and the allocation of financial
resources. Investment banks, often the most efficient users
of capital, manage their trading portfolios using simulation
models calibrated to hundreds of traded instruments. These models
are used to price illiquid instruments as well as to manage
the exposure of the firms to market and credit risk. The result
is a more efficient use of economic capital and, hopefully,
a more transparent relation between financial institutions and
regulators. Leading theoreticians and practitioners will lecture
on the models used in the main asset classes.
Speakers:
Blaise G. Morton
EBF Funds
blaise.morton@ebf.com
Glenn J. Satty
Telluride Asset Management
gsatty@tridecap.com
Srdjan D. Stojanovic
Department of Mathematical Sciences
University of Cincinnati
http://math.uc.edu/~srdjan/
Carlos Fabian Tolmasky
University of Minnesota
tolmasky@math.umn.edu
Syllabus:
Options
Pricing, Portfolio Hedging, and Data Analysis
Lecturer: Srdjan D. Stojanovic
1. Classical methods in options pricing and hedging. European
options. Traditional derivation of the Black-Scholes PDE. Monte-Carlo
verification of the derivation. Black-Scholes formula and extensions
for time dependent data. Effect of continuous and instantaneous
dividends. Numerical extensions for price dependent data. American
options, optimal stopping, and (obstacle) free boundary problems.
Numerical solutions.
2. Options data analysis. Options data. Elementary implied volatility.
Derivation of the Dupire PDE and integral-differential equations.
Non- elementary methods for implied volatility, and other parameter
estimation problems in complete markets: optimal control of
Dupire PDEs, integral- differential equations, and obstacle
problems.
3. Optimal portfolio hedging. Merton's classical optimal portfolio
theory for (linear) Log-Normal markets. Portfolio hedging formula
under appreciation rate uncertainty for linear non-Markovian
markets. Portfolio hedging for multi-factor non-linear Markovian
markets. Hamilton-Jacobi-Bellman and Monge-Ampère PDEs in optimal
portfolio hedging. Portfolio hedging for multi- factor non-linear
Markovian markets under general affine constraints on the portfolio.
4. State of the art in options pricing and hedging. Stochastic
volatility models. Market price of volatility risk. The general
problem of option pricing in incomplete Markovian markets. Complete
solution of the general option pricing problem in incomplete
Markovian markets via optimal portfolio theory, and Monge-Ampère
PDEs. Unique fair prices. Non-unique fair prices: price-spread.
Black-Scholes and optimal options hedging in general incomplete
markets.
Preprints:
StojanovicPreprintPortfolioFormula.pdf
StojanovicPreprintStochasticVolatility.pdf
StojanovicPreprintHypoellipticBlackScholes.pdf
Practical
Aspects of Risk, Utility, and Derivative Valuation
Lecturer: Glenn J. Satty
1.
Utility and Behavior: practical examples of why rational people
behave differently whether or not they have the same information,
and how utility and behavior impact financial markets and pricing
of financial instruments.
2.
Fundamental Intuition behind Derivative Pricing: reducing the
Black-Scholes equation and its solution to a "trading intuitive"
form, in order to understand how traders and risk controllers
use the equations and formulae in their daily work.
3.
Relationship between Γ and Θ: how a market maker
risk manages a position in real time. In this section we discuss
ways a market maker makes money on both short and long term
positions. If time permits we will also discuss classical portfolio
insurance and its effect on the market.
4.
Topics on Demand: according to the group we can discuss other
issues, including different dynamics in different markets, actual
vs theoretical distributions, exotic options, or other topics
of interest. If time permits we may have a mock trading session.
Derivatives
in Commodity Markets
Lecturer: Carlos Fabian Tolmasky
1. Generalities. Consumption and non-consumption commodities.
Storage. Arbitrage relationships. Convenience yield. Contango,
backwardation. Seasonality. Futures and Swaps. Mechanics: exchange
traded contracts, over-the-counter contracts. Basis risk. Hedging.
Example: Metallgesellschaft.
2. Description of some market structures and participants: metals,
grains, energy (petroleum, natural gas, electricity), weather.
3. More on Swaps. Vanilla Options on futures. Spread options:
craks, crush and timespread options. Asian options and options
on swaps.
4. Term structure models. One factor models. Stochastic convenience
yield. Gibson and Schwartz model. Statistics of various futures
and volatility curves. Multicurve markets, intra and inter curve
correlations.
5. Petroleum market revisited: the market as a description of
a refinery and its economics.
Slides:
Commod.pdf

Quantitative
Methods for Pricing Fixed-Income Securities
Lecturer: Blaise G. Morton
(based on notes by Blaise Morton and Thomas Spiegel)
1. Introduction to Bonds and the Fixed-Income Markets. What
is the market structure and who are the players. Basic models
of Treasury Yield curves. Practical and philosophical issues
with continuous yield curves. Back to reality with treasury,
swap and agency dealer screens, quoting conventions. Treasury
curve modeling techniques and basic analyses such as duration,
convexity and the convexity bias. Understanding the shape of
the treasury curve (following Ilmanen). A formula for expected
bond return
2.
Interest-Rate Swaps and the LIBOR Curve. Basic models. Building
the LIBOR (rate) curve. Money market, interest-rate swaps and
Eurodollar futures. The convexity bias in Eurodollar Futures
(following Burghardt). The repo market -- Basic trades and determining
fair value. Definitions of spread trading and fixed-income arbitrage.
3.
Stochastic Models and Derivatives Pricing. Black's model applied
to pricing interest-rate caps, floors. Binomial trees for pricing
callable bonds using the option-adjusted spread (OAS). PDE pricing
models based on stochastic differential equations, example:
the first convertible bond model of Brennan and Schwartz. Market
Models, example: swaption pricing.
|
SHORT COURSE SCHEDULE |
|
|
MONDAY,
MARCH 29
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
and Scot Adams |
Welcome
and Introduction |
| |
| 9:30-10:15 |
Part
1 |
| 10:15-10:30 |
Break
|
Reception
Room EE/CS 3-176 |
| 10:30-11:15
|
Part
2 |
| 11:15-1:30
|
Lunch
break |
| 1:30-2:15
|
Part
3 |
| 2:15-2:30
|
Break
|
Reception
Room EE/CS 3-176 |
| 2:30-3:15
|
Part
4 |
TUESDAY,
MARCH 30
All
talks are in Lecture Hall EE/CS 3-180 unless otherwise noted.
|
| 9:00 |
Coffee |
Reception
Room EE/CS 3-176 |
|
| 9:30-10:15 |
Part
1 |
| 10:15-10:30 |
Break
|
Reception
Room EE/CS 3-176 |
| 10:30-11:15
|
Part
2 |
| 11:15-1:30
|
Lunch
break |
| 1:30-2:15
|
Part
3 |
| 2:15-2:30
|
Break
|
Reception
Room EE/CS 3-176 |
| 2:30-3:15
|
Part
4 |
IMA
Public Lecture
March 30, 2004 , Room 100 Smith Hall |
| 5:00-6:30
pm |
Reception |
Lind
Hall 400 |
7:00
pm
Room 100 Smith Hall |
Stephen
A. Ross
Massachusetts Institute of Technology |
Behavioral
Finance - The Closed End Fund Puzzle
Talks(A/V)
Talks
(Audio)
Photo
Gallery
Slides:
html
pdf
ps
ppt |
WEDNESDAY,
MARCH 31
All
talks are in Lecture Hall EE/CS 3-180 unless otherwise noted. |
| 9:00
|
Coffee |
Reception
Room EE/CS 3-176 |
|
| 9:30-10:15 |
Part
1 |
| 10:15-10:30 |
Break
|
Reception
Room EE/CS 3-176 |
| 10:30-11:15
|
Part
2 |
| 11:15-1:30
|
Lunch
break |
| 1:30-2:15
|
Part
3 |
| 2:15-2:30
|
Break
|
Reception
Room EE/CS 3-176 |
| 2:30-3:15
|
Part
4 |
THURSDAY,
APRIL
1
All talks are in Lecture Hall EE/CS 3-180 unless otherwise
noted. |
| 9:00 |
Coffee |
Reception
Room EE/CS 3-176 |
|
| 9:30-10:15 |
Part
1 |
|
10:15-10:30 |
Break
|
Reception
Room EE/CS 3-176 |
| 10:30-11:15
|
Part
2 |
| 11:15-1:30
|
Lunch
break |
| 1:30-2:15
|
Part
3 |
| 2:15-2:30
|
Break
|
Reception
Room EE/CS 3-176 |
| 2:30-3:15
|
Part
4 |
FRIDAY,
APRIL
2
All
talks are in Lecture Hall EE/CS 3-180 unless
otherwise noted. |
| 9:00 |
Coffee |
Reception
Room EE/CS 3-176 |
|
| 9:30-10:15 |
Part
5 |
|
10:15-10:30 |
Break
|
Reception
Room EE/CS 3-176 |
| 10:30-11:15
|
Part
6 |
| IMA/MCIM
Industrial Problems Seminar
April
2, 2004 , EE/CS 3-180 |
| 1:25-2:15
|
Richard
Derrig
(President, OPAL Consulting LLC, Visiting Scholar, Wharton
School, University of Pennsylvania) |
Mathematical
Models for Insurance Fraud Detection
Paper:
Fraud Classification Using Principal Component Analysis
of RIDITs (pdf) |
LIST OF CONFIRMED PARTICIPANTS
| Name |
Department |
Affiliation |
| Vilen Abramov |
Department of Mathematics |
Kent State University |
| Scot Adams |
Institute for Mathematics and its Applications |
University of Minnesota |
| Inkyung Ahn |
Department of Mathematics |
Korea University |
| Hengjie Ai |
Department of Economics |
University of Minnesota |
| Greg Anderson |
School of Mathematics |
University of Minnesota |
| Valentin Andreev |
Department of Mathematics |
Lamar University |
| Douglas N. Arnold |
Institute for Mathematics and its Applications |
University of Minnesota |
| Donald G. Aronson |
Institute for Mathematics and its Applications |
University of Minnesota |
| Sezai Ata |
School of Mathematics |
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 |
| Camelia Bejan |
Department of Economics |
University of Minnesota |
| Slava Belyaev |
|
ITEP |
| Florin Bidian |
Department of Economics |
University of Minnesota |
| Hunt McCall Blatz |
Quantitative Group |
Advantus Capital Management |
| Maury Bramson |
Department of Mathematics |
University of Minnesota |
| Olga Brezhneva |
|
University of Minnesota |
| James B. Carson |
|
RisQuant Energy |
| Jamylle Carter |
Department of Mathematics |
University of Minnesota |
| Zhiwei Chen |
Department of Mathematics |
University of Maryland |
| Dong Myung Chung |
|
Sogang University |
| Pin Johnny Chung |
Investment & Risk Management |
Chung ALM |
| Daya Dayananda |
Department of Mathematics |
University of St. Thomas |
| Richard Derrig |
|
Opal Consulting LLC |
| Gregory S. Duane |
Institute of Applied Mathematics and Computer Science Technology |
University of Minnesota |
| Yang Fan |
Department of Statistics |
University of Minnesota |
| Narryn Fisher |
Department of Mathematics |
University of Maryland |
| Louis Forti |
Department of Energy Risk Trading |
CHS Inc. |
| Liliane Forzani |
Department of Statistics |
University of Minnesota |
| Shmuel Friedland |
Department of Mathematics |
University of Illinois - Chicago |
| Tim Garoni |
Institute for Mathematics and its Applications |
University of Minnesota |
| Urmi Ghosh-Dastidar |
Department of Mathematics |
City University of New York |
| Victor Goodman |
Department of Mathematics |
Indiana University |
| Elliot C. Gootman |
Department of Mathematics |
University of Georgia |
| Lawrence F. Gray |
School of Mathematics |
University of Minnesota |
| Matthew Gray |
|
Allianz Life Insurance |
| Marshall Hampton |
School of Mathematics |
University of Minnesota |
| Chuan-Hsiang Han |
Ford Company |
University of Minnesota |
| Silvia Iorgova |
International Capital Markets Department |
International Monetary Fund |
| Naresh Jain |
School of Mathematics |
University of Minnesota |
| Abu Jalal |
Department of Finance |
University of Minnesota |
| Sung Chan Jun |
Department of Biological and Quantum Physics |
Los Alamos National Laboratory |
| Dhandapani Kannan |
Department of Mathematics |
University of Georgia |
| John Kemper |
Department of Mathematics |
University of St. Thomas |
| Mohammad Kazim Khan |
Department of Mathematics |
Kent State University |
| Andy Young Han Kim |
Department of Applied Economics |
University of Minnesota |
| Bong Soo Ko |
Department of Mathematics Education |
Cheju National University |
| Thomas G. Kurtz |
Department of Mathematics and Statistics |
University of Wisconsin |
| Chang Hyeong Lee |
Department of Mathematics |
University of Minnesota |
| Jeong Hyun Lee |
Department of Mathematics |
Seoul National University (SRCCS) |
| Rodrigo J. Lievano |
Department of FMIS |
University of Minnesota - Duluth |
| Mingyan Lin |
School of Mathematics |
University of Minnesota |
| Xiaoji Lin |
Department of Finance |
University of Minnesota |
| Dennis Lui |
Wells Capital Management |
Wells Fargo |
| Huaqiang Ma |
Department of Mathematics |
University of Maryland |
| Andy Mack |
Quantitative Finance Department |
Telluride Asset Management |
| Hantao Mai |
Department of Mathematics |
University of Maryland |
| Richard P. McGehee |
School of Mathematics |
University of Minnesota |
| Andreas Michlmayr |
|
Patpatia & Associates |
| Oana Mocioalca |
Department of Mathematics |
Purdue University |
| Hamid Mohtadi |
Department of Applied Economics |
University of Minnesota |
| Blaise G. Morton |
|
EBF & Associates |
| Gary Nan Tie |
|
The St. Paul Companies |
| J. Michael Neal |
Department of Statistics |
University of Minnesota |
| Amir Niknejad |
Department of Mathematics |
University of Illinois - Chicago |
| Glenn Pederson |
Department of Applied Economics |
University of Minnesota |
| Thomas J. Peters |
Department of Computer Science |
University of Connecticut |
| Lea Popovic |
Institute for Mathematics and its Applications |
University of Minnesota |
| H. K. Pradhan |
Department of Finance and Economics |
XLRI Jamshedpur |
| Huiyan Qiu |
Finance Department |
University of Minnesota |
| Greg Rempala |
Department of Mathematics |
University of Louisville |
| Stephen Ross |
Sloan School of Management |
Massachusetts Institute of Technology |
| Fadil Santosa |
Institute for Mathematics and its Applications |
University of Minnesota |
| Glenn J. Satty |
|
Telluride Asset Management |
| Arnd Scheel |
Institute for Mathematics and its Applications |
University of Minnesota |
| Jamie Seguino |
Corporate Economics |
Ford Motor Company |
| A. Christian Silva |
Department of Physics |
University of Maryland |
| Mihai Sirbu |
Department of Mathematical Sciences |
Carnegie Mellon University |
| Srdjan Stojanovic |
Department of Mathematical Sciences |
University of Cincinnati |
| Marcelo Yoshio Takami |
Department of Research |
Central Bank of Brazil |
| Peter Tankov |
Centre de Mathématiques Appliquées |
Ecole Polytechnique |
| Carlos Fabian Tolmasky |
|
Cargill, Inc. |
| Pradyumna S. Upadrashta |
Department of Scientific Computation |
University of Minnesota |
| Hong Wang |
Department of Civil Engineering |
University of Minnesota |
| Jing Wang |
|
University of Minnesota |
| Xiaodi Wang |
Department of Mathematics |
Western Connecticut State University |
| Yuhong Yang |
Department of Statistics |
Iowa State University |
| Ofer Zeitouni |
School of Mathematics |
University of Minnesota |
| Bing Zhang |
Department of Mathematics |
University of Maryland |
| Tao Zhang |
Department of Mathematics |
Purdue University |
| Yuming Zhang |
Department of Mathematics |
University of Maryland |
| Jun Zhao |
|
University of Minnesota |
IMA
Public Lecture: Stephen Ross, Behavioral
Finance - The Closed End Fund Puzzle, March 30, 2004
Probability
and Statistics in Complex Systems: Genomics, Networks, and Financial
Engineering, September 1, 2003 - June 30, 2004
|