Financial Risk Management

Postgraduate

Honours Programme in Financial Risk Management

54690 – 778 (120) BComHons in Financial Risk Management

Admission Requirements

  • A BCom degree with Financial Risk Management, Financial Mathematics and Mathematical Statistics as third-year subjects.
  • An average mark of at least 60% for Financial Risk Management 314 and 344.

Selection

An Honours degree is frequently deemed to be the minimum professional entry requirement in the field, and demand for this qualification is high.

The number of students selected will be influenced by, among other things, staff capacity and the availability of resources within the Department, as well as academic merit and University transformation objectives. As staff capacity and resources may fluctuate from year to year, the number of students selected can also differ from year to year.

If the Financial Risk Management or Mathematical Statistics background of the applicant is deemed insufficient after a case-by-case determination by the Department of Statistics and Actuarial Science, the Department may require an additional departmental assessment on third year level Financial Risk Management and Mathematical Statistics topics. Students may also be required to complete additional undergraduate Stellenbosch University Financial Risk Management and Mathematical Statistics modules along with their Honours studies.

See the Facult​y Calendar (Yearbook)​ here for detail of the more detailed Honours admission requirements.

Programme Content

Students will be required to pass modules totalling at least 120 credits made up as follows:

​ModuleCodeSemesterCredits
Financial Risk Management54690-778 1 & 2 120

Compulsory Modules (108 credits)

​ModuleCodeSemesterCredits
Financial Risk Management A10459-731112
Financial Risk Management B10460-761212
Portfolio Management Theory A10660-733112
Portfolio Management Theory A10661-763212
Practical Financial Modelling11166-73416
Research Assignment: Financial Risk Management11218-7931 & 230
Stochastic Simulation65250-718112
Time Series Analysis B10751-747212

Module Content

Financial Risk Management A & B
10459-731 & 10460-761

Objectives and content (FRM-A)
The following topics are covered: Different models to estimate volatility, covariances and correlations of financial time series. Value-at-Risk (vaR): Definitions, foundations of VaR measurement, Decomposition of VaR, Parametric Linear VaR Models (normal- and t- distributions). Martingales and Measures: Market price of risk, Equivalent martingale measure result, Change of numeriare and applications. Interest Rate Derivatives, the Standard Market Model: Bond Options, Interest Rate Caps and Floors, European Swap options. Convexity-, timing- and quanto adjustments.

 

Objectives and content (FRM-B) 
The following topics are covered: Interest Rate Derivatives – Models of the Short Rate: Equilibrium models, No Arbitrage models, Options on bonds, Volatility structures, Interest rate tree-building models. The Heath, Jarrow and Morton model. The Libor Market Model. Rachet-, Sticky- and Flexi caps and European Swap options. Credit risk – Different models to estimate default probabilities: Historical default probabilities, Using Bond prices, Using equity prices, Gaussian copula models, Binomial models, Merton’s model, KMV Approach. Credit VaR. Credit default swaps.

Portfolio Management Theory A & B
10660-733 & 10661-763

Objectives and content (PMT-A)
This module has been compiled in such a manner that it provides to the student an overview of the nature and scope of Portfolio Management as a subject and its application in practice. Its contents is loosely based on that of the first halve of the CFA level III exam, and the major topics include: the portfolio management process, the investment policy statement, portfolio management for individual and institutional investors, capital market expectations, asset allocation, financial statement analysis, equity analysis, and equity portfolio management.

Objectives and content (PMT-B)
This module has been compiled in such a manner that it provides to the student an overview of the nature and scope of Portfolio Management as a subject and its application in practice. Its contents is loosely based on that of the second halve of the CFA level III exam, and the major topics include: fixed income portfolio management, alternative investments portfolio management, portfolio risk management, execution of portfolio decisions, monitoring and rebalancing, evaluating portfolio performance, and behavioural finance.

Financial Mathematical Statistics
11164-732

Objectives and Content
In this module an introduction is given to Extreme Value Theory (EVT) and its role in Financial Risk Management. EVT entails the study of extreme events and for this theory has been developed to describe the behaviour in the tails of distributions. The module will disduss the theory in a conceptual fashion without proving the results. It will be shown how this theory can be used to carry out inferences on the relevant parameters of the underlying distribution. Both the classical approach of block maxima based on the Fisher-Tippett Theorem and the more modern threshold approach based on the Pickands-Balkema-de Haan Theorem will be discussed and applied. Results for both independent and dependent data will be covered.

Practical Financial Modelling & Introduction to R
11166-734

Objectives and content
The main aim of this module is to teach students how to apply Excel and VBA to solve financial risk problems as well as to teach them some R programming. The following topics are covered with respect to Excel and VBS: An introduction to Excel an VBA; Excel basics and necessities; Using Excel to value bonds and swaps and to determine yield curves; Dates, tables and some Statistical applications in Excel; Applying Excel’s Solver; Some VBA programming; Portfolio optimisation with Excel and VBA; Black Scholes pricing of European options and calculating Greeks with Excel and VBA; Delta hedging with Excel and VBA. The R component of the module is an introduction to programming and data analysis within the R open source environment.

Time series analysis
10751-747

Objectives and content
This module is a continuation of undergraduate time series analyses and concentrates on more advanced forecasting techniques. Topics that are covered include:

  • The Box & Jenkins methodology of tentative model identification, conditional and unconditional parameter estimation and diagnostic methods for checking the fit of the series.
  • ARIMA and Seasonal ARIMA-processes.
  • Introduction to Fourier Analysis, spectrum of a periodic time series, estimation of the spectrum, periodogram analysis, smoothing of the spectrum.
  • Case studies using STATISTICA, R and SAS.
  • Forecasting with ARMA models and prediction intervals for forecasts.
  • Transfer function models and intervention analysis.
  • Multiple regression with ARMA errors, cointegration of non-stationary time series.
  • Conditional heteroscedastic time series models, ARCH and GARCH.

Stochastic simulation
65250-718

Objectives and content
The module probability models and stochastic simulation is devoted to a study of the theory and applications of important probability models and stochastic processes. Applications are studied analytically, by means of the techniques of mathematical statistics, and are also illustrated by means of stochastic computer simulation. The broad aim of the module is to make students aware of the following important concepts:

  • the way in which probability models and stochastic processes can be used to model phenomena containing a random or stochastic component;
  • the important role played by assumptions in identification of an appropriate model for a given practical situation;
  • the standard techniques of mathematical statistics that can be used in the analysis of probability models;
  • the wide applicability of stochastic simulation in the analysis of probability models.

The specific outcomes of the module are related to the specific topics that receive attention. These topics include the following: Methods for generating random variables from distributions; Monte Carlo integration; Markov chains (including applications to Metropolis-Hastings and Gibbs sampler methods); Homogeneous and non-homogeneous Poisson processes; Markov processes; variance reduction techniques in stochastic simulation.

Grading and Regulations

The final honours grading will be the weighted average of the marks obtained for each module (based on module credits) as follows:

  • 80% based on the actuarial science modules; and
  • 20% based on the best 24 credits of non-actuarial science modules.

Students are expected to pass (i.e. with a mark of not less than 50%) modules totalling at least 120 credits (as outlined above).

N.B. There are no rewrite/supplementary examinations for students failing modules.

Credit may be awarded for at most one (narrowly) failed module (to a maximum of 60 credits) in respect of equivalent subjects which students subsequently pass through the Actuarial Society of South Africa.

The calculation of the final mark for each module may differ by module, but for the Actuarial Science modules it will typically be an average of the class mark (based on all relevant tests and assignments) and examination mark. For the Actuarial Science modules students will be required to have a class mark of at least 45% (based on class tests and possibly other hand-in work as specified) in order to be given entry to the final examination for that module.

Masters Programme in Financial Risk Management

MCom | Financial Risk Management

Against a global backdrop of increasing demand for specialists in Quantitative Finance and Financial Risk Management, a Masters degree remains highly sought after as a differentiating factor. 

Stellenbosch University offers both a Masters by coursework – aimed at enhancing sought after specialized skills across a wide-range of subject material.  In addition, we offer a Masters by dissertation – for more focussed and specialized candidates.  

Admission Requirements

A BComHons in Financial Risk Management from Stellenbosch University or an equivalent qualification from another recognised university.

Selection

The number of students selected can be influenced by, for example, staff capacity and the availability of resources within the Department, as well as academic merit and University transformation objectives. As staff capacity and resources can fluctuate from year to year, the number of students selected can also differ from year to year.

If the Financial Risk Management or Mathematical Statistics background of the applicant is deemed insufficient after a case-by-case determination by the Department of Statistics and Actuarial Science, the Department may require an additional departmental assessment on Financial Risk Management or Mathematical Statistics topics. Students may also be required to complete additional Stellenbosch University modules along with their MCom studies.

Programme structure

You can choose between two possible options:

  • A Coursework and Assignment option | Financial Risk Management 889
    Consisting of a compulsory research assignment of 60 credits and elective modules to add up to at least 180 credits;
  • A Coursework and Thesis option | Financial Risk Management 879
    Consisting of a compulsory thesis of 90 credits and elective modules to add up to at least 180 credits

Programme Content

See the Facult​y Calendar (Yearbook)​ here for a summary description of the various Masters modules.

ModuleCodeSemesterCredits
Extreme Value Theory A10441-813115
Extreme Value Theory B​10442-843215
Advanced Financial Risk Management A**​10501-831115
Advanced Financial Risk Management B*10503-861215
Advanced Financial Risk Programming10504-835115
Advanced Portfolio Management Theory A​10517-833215
Advanced Portfolio Management Theory B (VaR)10518-863115
​Credit Derivative Instruments A​10575-834215
Credit Derivative Instruments B​10576-864NA15
​Thesis: Financial Risk Management
Compulsory with 879
11237-891 / -8921 & 290 / 120
Research Assignment: Financial Risk Management
Compulsory with 879
11218-893​1 & 260
Elective ModulesCodeSemesterCredits
These have to be selected taking into account the modules from Computer Science
Bayesian Statistics10394-711NA12
Multivariate Statistical Analysis A​10602-715112
Multivariate Statistical Analysis B*​10603-745212
Stochastic Simulation​65250-718212
​Time Series Analysis​10751-747112

NA – This module is not presented in 2023.

* Statistical Learning Theory (Honours module) – see content at Honours Mathematical Statistics

** Alternative Investments (new content)