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HOME » PROGRAMS/ACTIVITIES » Annual Thematic Program
IMA
Public Lecture
Stephen Ross, Behavioral
Finance - The Closed End Fund Puzzle,
March 30, 2004
Talks(A/V)
Talks(Audio)
Slides:
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pdf
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ppt
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
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:
Lecturer: Srdjan D. Stojanovic
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.
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| MONDAY,
MARCH 29
All talks are in Lecture Hall EE/CS 3-180 unless otherwise noted. |
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|---|---|---|---|---|---|---|---|
| 8:30 | Coffee and Registration | Reception Room EE/CS 3-176 |
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| 9:15 | Douglas N. Arnold and Scot Adams | Welcome and Introduction | |||||
| Srdjan
D. Stojanovic
(University of Cincinnati) Preprints: |
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| 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. |
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| 9:00 | Coffee | Reception Room EE/CS 3-176 | |||||
Glenn
J. Satty
(Telluride Asset Management) Practical Aspects of Risk, Utility, and Derivative Valuation |
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| 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 |
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| 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 |
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| WEDNESDAY,
MARCH 31 All talks are in Lecture Hall EE/CS 3-180 unless otherwise noted. |
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| 9:00 | Coffee | Reception Room EE/CS 3-176 | |||||
Carlos
Fabian Tolmasky (University of Minnesota) Slides: Commod.pdf |
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| 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. |
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| 9:00 | Coffee | Reception Room EE/CS 3-176 | |||||
Blaise
G. Morton (EBF Funds) Quantitative Methods for Pricing Fixed-Income Securities |
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| 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. |
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| 9:00 | Coffee | Reception Room EE/CS 3-176 | |||||
Blaise
G. Morton (EBF Funds) Quantitative Methods for Pricing Fixed-Income Securities |
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| 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 |
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| 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) |
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| 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 | University of Minnesota | |
| Greg Anderson | School of Mathematics | University of Minnesota |
| Valentin Andreev | Department of Mathematics | Lamar University |
| Douglas Arnold | Institute for Mathematics and its Applications | University of Minnesota |
| Donald 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 |
| Karen Ball | Institute for Mathematics and its Applications | University of Minnesota |
| Antar Bandyopadhyay | Institute for Mathematics and its Applications | University of Minnesota |
| Peter Bank | Department of Mathematics | Humboldt-Universität |
| Camelia Bejan | Department of Economics | University of Minnesota |
| Slava Belyaev | ITEP | |
| Florin Bidian | Department of Economics | University of Minnesota |
| Hunt Blatz | Quantitative Group | Advantus Capital Management |
| Maury Bramson | School of Mathematics | University of Minnesota |
| Olga Brezhneva | Institute for Mathematics and its Applications | University of Minnesota |
| James Carson | RisQuant Energy | |
| Jamylle Carter | University of Minnesota | |
| Zhiwei Chen | Department of Mathematics | University of Maryland |
| Dong Chung | Sogang University | |
| Pin Chung | Investment and Risk Management | Chung ALM |
| Daya Dayananda | Department of Mathematics | University of St. Thomas |
| Richard Derrig | Opal Intelligent Solutions | |
| Gregory Duane | University of Minnesota | |
| Yang Fan | University of Minnesota | |
| Narryn Fisher | Department of Mathematics | University of Maryland |
| Louis Forti | Department of Energy Risk Trading | CHS, Inc. |
| Liliane Forzani | University of Minnesota | |
| Shmuel Friedland | Department of Mathematics, Statistics, and Computer Science | University of Illinois at Chicago |
| Tim Garoni | Institute for Mathematics and its Applications | University of Minnesota |
| Urmi Ghosh-Dastidar | Department of Mathematics | City University of New York (CUNY) |
| Victor Goodman | Department of Mathematics | Indiana University |
| Elliot Gootman | Department of Mathematics | University of Georgia |
| Lawrence Gray | School of Mathematics | University of Minnesota |
| Matthew Gray | Allianz Life Insurance Company Of North America | |
| Marshall Hampton | Department of Mathematics & Statistics | University of Minnesota |
| Chuan-Hsiang Han | Institute for Mathematics and its Applications | 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 |
| Dhandapani Kannan | Department of Mathematics | University of Georgia |
| John Kemper | Department of Mathematics | University of St. Thomas |
| Mohammad Khan | Department of Mathematics | Kent State University |
| Andy Kim | Department of Applied Economics | University of Minnesota |
| Bong Ko | Department of Mathematics Education | Cheju National University |
| Thomas Kurtz | Department of Mathematics | University of Wisconsin-Madison |
| Chang Lee | School of Mathematics | University of Minnesota |
| Jeong Lee | Department of Mathematics | Seoul National University |
| Rodrigo Lievano | Department of FMIS | University of Minnesota |
| 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 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 Morton | EBF & Associates | |
| Gary Nan Tie | Investment Department | The St. Paul Companies |
| J. Michael Neal | Department of Statistics | University of Minnesota |
| Amir Niknejad | Department of Mathematics | University of Illinois at Chicago |
| Glenn Pederson | Department of Applied Economics | University of Minnesota |
| Thomas Peters | Department of Computer Science | University of Connecticut |
| Lea Popovic | Institute for Mathematics and its Applications | University of Minnesota |
| H. Pradhan | Department of Finance and Economics | XLRI Jamshedpur |
| Huiyan Qiu | Department of Finance | University of Minnesota |
| Grzegorz 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 Satty | Telluride Asset Management | |
| Arnd Scheel | School of Mathematics | University of Minnesota |
| Jamie Seguino | Corporate Economics | Ford |
| A. 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 Takami | Department of Research | Central Bank of Brazil |
| Peter Tankov | École Polytechnique | |
| Carlos Tolmasky | Department of Mathematics | Cargill, Inc. |
| Pradyumna Upadrashta | Department of Scientific Computation | University of Minnesota |
| Hong Wang | Department of Civil Engineering | University of Minnesota |
| Jing Wang | Institute for Mathematics and its Applications | 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 | Institute of Mathematics and its Application | University of Minnesota |
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