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Heath Lectures In Probability and Mathematical Finance
Heath Lectures, May 15-19, 2006
Description of the workshop
Each speaker will give five 90-minute lectures over the course of the
five days. Some of the lectures will be tutorial. The approximate
plan of the lectures:
RISK MEASUREMENT AND MANAGEMENT
Plan of the lectures given by Freddy Delbaen
- Monetary utility functions on
L-infinity
and their
representations, the coherent and the concave case, the Fatou
property and the weak compactness property.
- The relation with VaR and some examples. The extension to spaces
of non-integrable random variables.
- Capital allocation problems and exposed points, the problem of
differentiability.
- The inf-convolution and the Fatou property. Dynamic risk measures.
- Different characterizations of time consistency. The case of
Brownian Motion and BSDE.
Plan of the lectures given by Alexander Schied
- Structure theorems for TailVaR and general law-invariant risk measures.
- Risk measures in financial markets.
- Quantification of model risk in finance and economics.
- Optimal investments under model uncertainty: complete market.
- Optimal investments under model uncertainty: incomplete market.
Time and place
The lectures take place
between 1:30 and 5 pm from Monday, May 15 to Friday, May 19. On
Monday, May 15 the lectures will be in in Doherty Hall 1212. Starting
Tuesday, May 16 the lectures will be in Baker
Hall A53 (The H&SS Auditorium).
- Every day's schedule:
- 1:30-3 pm: Freddie Delbaen
3-3:30 pm: coffee break
3:30-5 pm: Alexander Schied
- Registration
- While there is no fee for
attending the workshop we kindly ask the participants to register
by sending an e-mail to Ferna Hartman (fill
the subject field with "registration for Heath lectures"). This
should help us to plan the event.
- Out of Pittsburgh participants
- Out of
Pittsburgh participants are welcome, but have to organize
themselves their travel and accommodation. Useful information can
be found on http://www.cmu.edu/visit/. Do not forget to
register!
- Conference dinner
- There will be a
conference dinner on Thursday, May 18. The time and venue will be
announced.
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