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This subject will consider the following topics: No-arbitrage pricing in continuous-time models. Completeness. Fundamental Theorem of Asset Pricing. Applications of martingales. Multidimensional Brownian motion in asset price models. Other asset price models. Pricing of path-dependent options. Computation methods.
Intended learning outcomes
On successful completion of this subject, students should:
- know how to derive the Black-Scholes formula;
- be familiar with the behaviour and computation of option prices;
- be able to apply multidimensional Brownian motion in finance and insurance;
- know some of the alternatives to Brownian motion in securities modelling;
- be able to apply those techniques to actuarial problems.
On successful completion of this subject students should have enhanced their skills in:
- High level of development: written communication; problem solving; statistical reasoning; application of theory to practice; interpretation and analysis; critical thinking.
- Some level of development: synthesis of data and other information; evaluation of data and other information.
Last updated: 18 December 2020