Continuous Time Finance 2: (FinKont2)

Course content

See "Knowledge" below. Note that the "selected topics" part (weeks 4-9) varies from year to year.


MSc programme in Actuarial Mathematics
MSc programme in Mathematics-Economics

Learning outcome


  1. Confidence in using continuous-time finance models to analyze problems and models that go (well) beyond the basic “call-option in Black/Scholes”-case. The confidence is obtained by working through (fairly) specific specific examples (see also 2. below) rather than “abstract nonsense”.
  2. Producing “sensible numbers” from the continuous-time models; the numbers may arise from implementation of specific numerical algorithms, from well-designed experiments, or from empirical analysis.
  3. Ability to read original research papers in finance journals, both broad academic journals such as Journal of Finance, technical journals such as Mathematical Finance, or applied quantitative journals such as Journal of Derivatives.



  • Design, conduct and analyze simulation-based hedge experiments
  • Derive no-arbitrage conditions models with dividends, multiple currencies, stochastic interest rates, or a non-traded underlying asset.  
  • Use change-of-numeraire techniques to price  interest rate options

These are the skills acquired in first, part of the course (3 weeks). The second part the course (whose topics will vary slightly from year to year depending on lecturere and student interests)  will hone these skills further as well as teach some other ones (e.g. how an how not to read an academic paper).


  • Dynamic hedging, model risk and "the fundamental theorem of derivative trading"
  • Dividends and foreign exchange models
  • Arbitrage-free term structure models; the Heath-Jarrow-Morton formalism;  1-dim. affine models; Vasicek and Cox-Ingersoll-Ross; LIBOR market models
  • Pricing of interest rate derivatives (caps, swaptions)
  •  "Selected topics" such as: Multi-dimensional affine term structure models, Markovian representation and unspanned stochastic volatility,  transform methods and option pricing (the Heston model), numerical solution of partial differential equations. term structure and derivative modelling post-2007 (multi-curve frameworks, funding and collateral, CVA-adjustments), stochastic optimal control theory.

6 hours of lectures and 2 hours of tutorials per week for 9 weeks

"Continuous-time Finance" (FinKont) or something similar.

7,5 ECTS
Type of assessment
Continuous assessment
The evaluation is based on 3 mandatory hand-in exercises, which all have equal weight.
All aids allowed
Marking scale
7-point grading scale
Censorship form
No external censorship
One internal examiner
Criteria for exam assessment

The student must in a satisfactory way demonstrate that he/she has mastered the learning outcome of the course.

Single subject courses (day)

  • Category
  • Hours
  • Lectures
  • 54
  • Theory exercises
  • 18
  • Preparation
  • 50
  • Project work
  • 84
  • English
  • 206