Some have been corrected in the 2nd edition. More typos, this time in the 2nd edition.

The note Exotic Options: Proofs without Formulas (which is on the curriculum - "det er pensum" - but you'll only need up to page 6).

Chapters 4 and 5 in the notes used in our local 3rd year course "Investment- and Finance-theory" cover discrete models in great detail.

Here is a nice little paper by Desmond Higham on how to implement the binomial model. It talk about Matlab, but the moral of the story ("think" or "vectorize for speed") is the same for other high-level languages; R for instance.

- The Mathematical Finance 1999/2000 exam questions. (In Danish. No solution.)
- The Mathematical Finance 2001/2 exam questions. A solution could look like this.
- The Mathematical Finance 2002/3 exam. (No, no solution.)
- The Mathematical Finance 2003/4 exam. A solution could look like this.
- A year-2000 exam in a Bjørk-based PhD-course. (Definetely no solution.)
- Another one from the PhD-course; this time on risk-premia and the Vasicek model.

Brownian motion simulation in R: Slow or faster.

Poisson process simulation in R: Poisson simulation.

Euler scheme simulation in R: Geometric Brownian motion, the mean-reverting process, and the process with two 'attractors'.

R-code for trading strategies (as used at the lectures) and cheating strategies. The real life data; The value of the KFX index and Danish short rates over the last year . I got them via Nationalbanken's homepage.

R-code for discrete Delta-heding of a call. It hedges along a path and repeats over many paths. You'll need this Black/Scholes formula-code to run it. (Place the two files in the same directory.) This R-code hedges along a path, repeats over many paths, AND repeats over many hedge frequencies.

A spreadsheet with analysis of some real-life option data.

FlexGaranti R-code.

Danish yield curve estimation R-code. Explained on Weekly Note #11.

R-code for Vasicek estimation; more commented than usual. The 1952-2004 US data.

R-code for for yield volatility calibration. Not pretty code. The 1952-2004 US data.

Last year's course homepage. Things will be pretty much the same this year.