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Numerical Methods

Description

Prerequisites
Programming for Finance I, II, Statistics, Financial Econometrics

Objectives

This course develops basic numerical quantitative methods. We put emphasis on understanding the theoretical underpinnings, but in particular also the numerical implementation. Common problems encountered in economics and finance will serve as our exercise basis. After having taken the course, students will be able to identify and implement solutions to many applied problems in R.

Description / Program

The course is structured along the following topics.

  • Basic concepts in mathematics: vector spaces and convexity
  • Interpolation – Extrapolation
  • Finite differences
  • Numeric integration, in particular
  • Monte Carlo Simulation
  • Ordinary differential equations
  • Fourier series and the (inverse) Fourier transform
  • Fast Fourier transform

Learning Method / Style of Lessons

Our classes will be split into a theory part, which explains the concepts, and a practice part, where we will apply the theory to commonly encountered problems.

Exam Style

There will be a final exam, taken at the computer, which accounts for 100% of the final grade.

Requested Material
All material will be provided.

Readings/Textbooks
We will be following closely Numerical Methods in C, which can be consulted voluntarily. All material will be developed and presented during the class and uploaded to icorsi.

People

 

Schneider P.

Course director

Fiala T.

Assistant

Additional information

Semester
Spring
Academic year
2019-2020
ECTS
6
Language
English
Education
Bachelor of Arts in Economics, Specialised course, Quantitative methods, 3rd year

Bachelor of Arts in Economics, Elective course, Elective course, 3rd year

Master of Science in Economics in Finance, Core course, Minor in Quantitative Finance, 1st year