# Master’s degree in Banking and Finance

International Students

### Computational methods for finance

Course code
4S00535
Name of lecturers
Marco Patacca, Athena Picarelli
Coordinator
Marco Patacca
Number of ECTS credits allocated
6
SECS-S/06 - MATHEMATICAL METHODS OF ECONOMICS, FINANCE AND ACTUARIAL SCIENCES
Language of instruction
Italian
Site
VERONA
Period
primo semestre (lauree magistrali) dal Oct 5, 2020 al Dec 23, 2020.

## Learning outcomes

The course aims at analyzing the main numerical methods for derivative pricing and risk managment, in particular: - tree methods; - finite differences methods (implicit, explicit, Crank-Nicholson) - Monte Carlo methods. At the end of the course, tudents are able to efficiently implement the previous methods, by using Matlab. Although no formal prerequisites is needed, the knowledge of the topics related to Stochastic Models for Finance and Mathematical Finance is strongly recommended.

## Syllabus

The course is devoted to introducing the main numerical methods used for the calculation of financial quantities, for the evaluation of derivative instruments and for the management of financial risk. These numerical methods will be developed with Matlab software.
In particular, the following topics will be covered:
- Tree methods for derivatives evaluation.
- Monte Carlo methods: Euler scheme for the simulation of stochastic processes.
- Finite difference methods for the evaluation of European and American derivatives.

 Reference books Author Title Publisher Year ISBN Note L. Clewlow and C. Strickland Implementing Derivatives Models Wiley 1998 Desmond J. Higham e Nicholas J. Higham MATLAB Guide SIAM 2005 P. Glasserman Monte Carlo Methods for Financial Engineering Springer 2004 Fabrice D. Rouah, Steven L. Heston The Heston Model and its Extensions in Matlab and C# 2013

## Assessment methods and criteria

The final exam is a written test: programming exercises and open questions.

The possibility to participate remotely to the exam is guaranteed for all the requesting students.
The content, the allowed time and the evaluation criteria of the test will be the same both for the students in the classroom and for the remote ones.

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