## (Supplementary) Literature

The text-book. (The University Bookstore also has some copies. I don't know what they're charging.) Note that we use the 2004-version (ie. the second edition) of Bjørk's book. If for some reason you have the first edition, I guess you could get through using that, but it would be the wrong place to save £35. Some known typos in Bjørk. This refers to 1st printing, 1st edition of the book.
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.

Old exam questions:

## Computer code

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.