Numerical methods in finance, 7.5 credits
Administrative information
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| 2-3, autumn term 2009 - spring 2010
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| MA8002
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| The course is compulsory in the Masters Programme in Financial Mathematics 60 credits.
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Ljudmila Bordag
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Ljudmila Bordag
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Important information to new students
Exercises and other study material available through the course homepage.
To the course homepage
Course description
The course aims for the student to acquire knowledge of modern instruments and methods within numerical analysis as well as being able to apply this knowledge and skills in financial mathematicsUpon completion of the course the student shall be able to:
- describe alternative methods for creating trees, especially binomial trees
- understand and apply Monte Carlo simulation
- understand and apply the finite-difference method, the explicit finite-difference method, the implicit finite-difference method, the fully implicit method, and the Crank-Nicolson method
- understand and apply the American option method, finite difference formulation, the constrained matrix problem, projected SOR, the time stepping algorithm as well as give examples of these methods
- understand and apply the binomial method
- describe and apply solution methods for valuation of European options and American options
Language of instruction
Teaching is in English.Prerequisites and conditions of admission
Mathematics 60 credits, of which at least 7.5 credits must involve analysis, mathematical statistics and differential equations.