# TIES678 COM4: Numerical Methods for Finance (3 cr)

Study level:
Advanced studies
Grading scale:
Pass - fail
Language:
English
Responsible organisation:
Faculty of Information Technology
Curriculum periods:
2017-2018, 2018-2019, 2019-2020

## Description

##### Content

In financial markets, many different kinds of assets are available.
For investment purposes the most important ones are stocks and interest bearing instruments. The basic models for these are described. For example, a geometrical Brownian motion is a common model for stocks. The Monte Carlo method based on simulating paths for these and portfolios combining these is considered. Also simple portfolio analyses and optimizations based on these simulations are considered.
Vanilla options giving the right to sell (put) or buy (call) a given underlying asset like stock at its expiry. The Monte Carlo method is also considered for pricing options. Another approach is to formulate a partial differential equation (PDE) for the option price. A famous example is the Black-Scholes PDE. A basic finite difference method is described for solving resulting PDEs.

## Learning outcomes

Numerical Methods for Finance

## Description of prerequisites

Basic calculus and linear algebra, some familiarity with finite difference methods.

## Completion methods

### Method 1

Select all marked parts
Parts of the completion methods
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### Teaching (3 cr)

Type:
Participation in teaching
Grading scale:
Pass - fail
Language:
English
No published teaching