UnitLevel 5Postgraduate

MTH5520 Interest rate modelling

Faculty of Science

MTH5520 Interest rate modelling is a level 5, 6-credit-point, postgraduate unit from the Faculty of Science, offered in 2027 in Semester 2 at Clayton. It has no prerequisites.

Credit points
6
Offered in 2027
Semester 2
Clayton
Assessment
Exam 50%
and 1 other task

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Requisites

Before MTH5520

No prerequisites or corequisites besides the enrolment rules below.

After MTH5520

No unit lists MTH5520 as a prerequisite in the 2027 handbook.

Enrolment rules

PREREQUISITE: MTH3251 or MTH3260 or MTH4251 or MTH4260 or equivalent.

COREQUISITE: Only students enrolled in the Master of Financial Mathematics and the Master of Mathematics can enrol in this unit. Exceptions can be made with permission from the unit coordinator.

Overview

Interest rate curves. Zero-coupon bonds, spot and forward interest rates. Interest rate derivatives. Stochastic differential equations. Change of measures. No arbitrage pricing and change of numeraire. One-factor short rate models, including Vasicek, Hull and White, CIR and affine models. Two-factor short rate models. The HJM framework and models for forward rates. LIBOR models. Pricing of interest rate derivatives: swaps, caps and swaptions.

Offerings in 2027

Teaching periodCampusMode
Second semesterClaytonOn campus

Assessment

  • Continuous assessmentDemonstration
    50%
  • Final assessment - Exam (3 hours and 10 minutes)Examination
    50%

Assessment details may change. Please refer to the assessment information in Moodle closer to the start of the teaching period.

Learning outcomes

When you finish this unit, you should be able to:

  1. 1

    Develop specialised mathematical knowledge and skills within the field of stochastic calculus.

  2. 2

    Understand the complex connections between financial and probabilistic concepts.

  3. 3

    Apply sophisticated stochastic modelling skills within the context of interest rate modelling.

  4. 4

    Apply critical thinking to problems in interest rate modelling.

  5. 5

    Formulate expert solutions to practical financial problems using specialised cognitive and technical skills within the field of stochastic calculus.

  6. 6

    Communicate complex information in an accessible format to a non-mathematical audience.

Workload and teaching

  • Applied sessions11 hours
  • Seminars36 hours
  • Teaching approachActive learning
  • Two 1.5 -hour seminars;
  • One 1-hour applied class (in weeks 2-12) and
  • Eight hours of independent study per week

Active learning will occur in lectures and applied classes.

Contacts

Chief Examiners
Dr Kihun Nam
Unit Coordinators
Dr Kihun Nam

Common questions

What are the prerequisites for MTH5520?

MTH5520 has no prerequisites, but enrolment rules apply.

When is MTH5520 offered?

In 2027, MTH5520 runs in Semester 2 at Clayton.

Does MTH5520 have an exam?

Yes. The exam is worth 50% of the final mark, alongside 1 other task.

More details

Credit points
6
Level
5
Study level
Postgraduate
Faculty
Faculty of Science
Organisational unit
School of Mathematics
Type
Coursework
EFTSL
0.125
Student contribution
SCA Band 1
Study abroad
Available