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Computational Methods for Finance - MATH5335
 computational

   
   
   
 
Campus: Kensington Campus
 
 
Career: Postgraduate
 
 
Units of Credit: 6
 
 
EFTSL: 0.12500 (more info)
 
 
Indicative Contact Hours per Week: 3
 
 
Excluded: MATH3311
 
 
CSS Contribution Charge:Band 2 (more info)
 
   
 
Further Information: See Class Timetable
 
  

Description

In the end finance is concerned with making definite numerical recommendations that frequently can only be obtained by analysing sophisticated models using high-speed computers. This course studies the design, implementation and use of computer programs to solve practical mathematical problems of relevance to finance, insurance and risk management.
It includes a review of MATLAB, floating point numbers, rounding error and computational complexity, and a selection of topics from: approximation and parameter estimation, Fourier series and the FFT, finite difference approximations, partial differential equations (Black-Scholes PDE), sparse linear systems, nonlinear algebraic equations, trees, Monte Carlo methods and simulation, random numbers and variance reduction, numerical integration.


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