Information fairly up-to-date as of: Mon Jun 7 17:10:22 CEST 2004
General Asset Pricing II is a PhD-course offered by
the
Danish Doctoral School of Finance.
It covers continuous-time finance with particular emphasis
on recent advances in interest rate modelling.
The course is taught by
David Lando,
Rolf Poulsen(='me' in the following)
and
Pierre Collin-Dufresne.
The text-book will the 2004 version of Tomas Bjørk's book
Arbitrage Theory in Continuous Time.
Large parts of the 2004 version is the same as the 1998 version.
But there is some extra material (about 150 pages of it).
I won't tell you what it is. You'll have to buy the book!
The last part of the course will be based on articles and working papers.
Specific
- Continuous-time stochastic processes and stochastic calculus (possibly, but not likely, with the
odd jump)
- "No arbitrage" pricing and hedging (of options). Martingale measures and the fundamental
theorems of asset pricing.
- Change of numeraire.
- Interest rate modelling: The classic HJM-framework, even more classical (1-factor) short rate
models, LIBOR market models. We will look at some generalizations
of the affine framework (multi-dimensional cases, quadratic models, affinity of (Fourier) transforms and its
use for option pricing).
- (Very) Recent topics in interest rate modelling. For this part, Pierre Collin-Dufresne is the
"designated hitter" (or "closer", I'm not quite sure which the best baseball analogy). The exact contents have not been determined yet, but looking at
his homepage should give an indication.
Unspanned stochastic volatility and multi-factor swaption pricing will probably come up.
And maybe even a word or two about credit risk?
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All teaching takes place at
The Copenhagen Business School (CBS).
There will be 10 full days of lectures and/or exercices.
The dates are
- March: 25-26 (DL)
David has send out some practical details:
Mail 1
Mail 2,
Mail 3 (with room information), and
Mail 4 (with meeting times)
.
As the list of recipients indicates, these mail were
send to the "official" (ie. paying!) paying course participants.
- April: 21-23 (DL & RP)
- May 13-14 (RP)
- June 7-9 (PC-D).
Here's what Pierre says about his lectures:
"Probably I'll make two joint lectures on USV (
the JF paper and the paper with Chris),
and then probably one lecture on
generalizing affine models
to string and HJM models, where I'll probably also talk about
the swaption pricing paper.
Then for the seminar I plan to present the two papers on commodity stuff.
I'll spend more time on the
equilibrium model, but will use empirical
results from the other one."
- Monday June 7: 10-11.30 & 13.00-14.30 in room SPs05.
Pierre's slides.
- Tuesday June 8: 9-10:30 & 11-12:30 in room SPs13.
Pierre's slides. (Should cover 1st part
of Wednesday too.)
And more slides.
(Although I can't quite see their purpose. Maybe later.)
- Wednesday June 9: 10.00-11.30 (in SPs13) &
13:00-14:15 (seminar in SPs05, I think).
The days consist of (about 6 hours of) lectures and exercises/problem solving. For the DL and RP parts
the ratio of lectures to exercises should be about 2 to 1; for the PC-D part probably a-lot-more to 1.
Evaluation In previous years, the course evaluation was been based on a take-home exam.
This year we won't use that format. Exacly what will take its place is unknown, but
this is a possibility
- DL & RP parts: Mandatory exercises to be presented in class (after being specifically assigned)
or handed in.
- PC-D: Mandatory attendance of lectures.
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For PhD-students
Particiants from all Nordic contries are welcome.
The course fee for such external PhD-students is 3000 Danish kroner (you have to sort out travel and accommodation with your local institution).
The course workload is 10 ECTS points. Contact David Lando to registrer.
For (KU-)mat/øk-studerende
Mat/øk-studerende, der skriver (eller snart skal til at skrive) speciale kan (efter aftale med mig) følge kurset. Det er gratis, men så får man heller ikke
frokost (det ku' vi selvfølgelig ikke ha' i kursus, der i den grad baserer sig på fravær af arbitrage). Kurset "Matematisk Finansieringsteori" (MatFin) er en absolut forudsætning. Godt og vel første halvdel af
"Asset Pricing II" dækkes af MatFin, og kan derfor ikke give selvstændige point
Sidste del af Asset Pricing II er derimod nyt: Affine generalisationer (det skal nok komme
til at fremgå, præcis hvornår det bliver gennemgået) og P C-Ds del.
Der er to ('not mutually exclusive') muligheder:
- Man følger forelæsningerne og får inspriration/hjælp til sin specialeskrivning, som så foregår
på ganske traditionel vis.
- Man skriver et 10 ECTS fagprojekt baseret på sidste del. Fagprojektet skal ligge
tæt op ad det gennemgåede materiale (fx noget implementation/estimation eller nogle oversprungne
detaljer/beviser). Da det kræver mere selvstændigt arbejde end ved sædvanlige kurser
at forstå forelæsningerne (der opfattes som stort set den projektvejlending, man får),
så kan de udfærdigede rapporter være af mindre fysisk omfang; jeg
tænker mig 10 sider for 10 ECTS. Der vil være en deadline på sådanne projekter; fx aflevering inden sommerferien.
Outside 'academia'/practitioners
Som tidligere år kan man tage hele kurset (og få papir på det).
Det koster 10000. Detaljer/tilmelding ved DL.
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If you have mat/øk-related questions ask me.
If you have other questions (such as, I think course registration; not necessary for mat/øk),
ask David (or me).
We must protect our imported foreign stars, so questions to Pierre go through David or me.
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