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Stochastic Methods in Finance (STAT0013)

Key information

Faculty
Faculty of Mathematical and Physical Sciences
Teaching department
Statistical Science
Credit value
15
Restrictions
Subject to the availability of places, this module is also offered as an elective to students specialising in other fields. Information on the academic prerequisites and registration procedure is available at: /statistics/current-students/modules-statistical-science-students-other-departments.
Timetable

Alternative credit options

There are no alternative credit options available for this module.

Description

This module aims to introduce mathematical concepts and tools used in the finance industry, in particular stochastic models and techniques used for financial modelling and derivative pricing. It is primarily intended for third and fourth year undergraduates and taught postgraduates registered on the degree programmes offered by the Department of Statistical Science (including the CSML and MASS programmes).ÌýFor these students, the academic prerequisites for this module are met either through earlier compulsory study within (UG) or successful admission to (PGT) their current programme.

Intended Learning Outcomes

  • have a good understanding of how financial markets work;
  • be able to describe basic financial products;
  • have a good knowledge of the basic mathematical and probabilistic tools used in modern finance, including stochastic calculus;
  • be able to apply the relevant techniques for the pricing of derivatives.

Applications - The techniques taught in this module are widely used throughout the modern finance industry, including the areas of trading, risk management and corporate finance. They also have applications in other areas where investment decisions are made under uncertainty, for example in the energy sector where decisions on whether or not to build (i.e. invest in) new power plants are subject to uncertainty regarding future energy demand and prices.

Indicative Content - Financial markets, products and derivatives. The time value of money. Arbitrage Pricing. The binomial pricing model. Brownian motion and continuous time modelling of asset prices. Stochastic calculus. The Black-Scholes model. Risk-neutral pricing. Extensions and further applications of the Black-Scholes framework.

Key Texts - Available from .

Module deliveries for 2024/25 academic year

Intended teaching term: Term 1 ÌýÌýÌý Undergraduate (FHEQ Level 6)

Teaching and assessment

Mode of study
In person
Methods of assessment
80% Exam
20% In-class activity
Mark scheme
Numeric Marks

Other information

Number of students on module in previous year
147
Module leader
Dr Alexandros Beskos
Who to contact for more information
stats.ugt@ucl.ac.uk

Intended teaching term: Term 1 ÌýÌýÌý Postgraduate (FHEQ Level 7)

Teaching and assessment

Mode of study
In person
Methods of assessment
80% Exam
20% In-class activity
Mark scheme
Numeric Marks

Other information

Number of students on module in previous year
18
Module leader
Dr Alexandros Beskos
Who to contact for more information
stats.ugt@ucl.ac.uk

Intended teaching term: Term 1 ÌýÌýÌý Undergraduate (FHEQ Level 7)

Teaching and assessment

Mode of study
In person
Methods of assessment
80% Exam
20% In-class activity
Mark scheme
Numeric Marks

Other information

Number of students on module in previous year
8
Module leader
Dr Alexandros Beskos
Who to contact for more information
stats.ugt@ucl.ac.uk

Last updated

This module description was last updated on 8th April 2024.

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