NMAK15010U Continuous Time Finance 2: (FinKont2)

Volume 2022/2023

MSc Programme in Mathematics-Economics


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

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 lecturer 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 advanced models for option pricing (stochastic volatility, jumps) or multi-dimensional affine term structure models.
"Continuous-time Finance" (FinKont) or something similar.

Academic qualifications equivalent to a BSc degree is recommended.
6 hours of lectures and 2 hours of tutorials per week for 9 weeks
  • Category
  • Hours
  • Lectures
  • 54
  • Preparation
  • 134
  • Theory exercises
  • 18
  • Total
  • 206
Continuous feedback during the course
Feedback by final exam (In addition to the grade)
7,5 ECTS
Type of assessment
Continuous assessment
Type of assessment details
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

20 minute oral exam with several internal examiners. No preparation time and no aids.

Criteria for exam assesment

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