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Advanced Financial Mathematics (ACTL40004)
HonoursPoints: 12.5Online
Please refer to the return to campus page for more information on these delivery modes and students who can enrol in each mode based on their location.
About this subject
- Overview
- Eligibility and requirements
- Assessment
- Dates and times
- Further information
- Timetable(opens in new window)
Contact information
Semester 1
Overview
Availability | Semester 1 - Online |
---|---|
Fees | Look up fees |
This subject aims to provide students with grounding in advanced financial mathematics, covering option pricing under the binomial model; risk-neutral pricing of derivative securities; Brownian motion; introduction to Itô΄s formula and SDEs; stochastic asset models; Black-Scholes model; arbitrage and hedging; interest-rate models; actuarial applications and simple models for credit risk.
Intended learning outcomes
On completion of this subject, students should be able to:
- Demonstrate a knowledge of the properties of option prices, valuation methods and hedging techniques, and be able to apply these
- Apply binomial trees and lattices in valuing options
- Apply the Ito calculus
- Calculate option prices under the Black-Scholes model
- Describe and apply in simple models, including the binomial model and the Black-Scholes model, the approach to pricing using deflators and demonstrate its equivalence to the risk-neutral pricing approach
- Demonstrate a knowledge of models of the term structure of interest rates
- Apply, as a computational tool, the risk-neutral approach to the pricing of zero-coupon bonds and interest-rate derivatives for a general one-factor diffusion model for the risk-free rate of interest
- Demonstrate a knowledge of simple models for credit risk
Generic skills
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High level of development: written communication; problem solving; mathematical reasoning; application of theory to practice; interpretation and analysis.
Last updated: 3 November 2022
Eligibility and requirements
Prerequisites
For 2021 entry:
Code | Name | Teaching period | Credit Points |
---|---|---|---|
ACTL30006 | Intermediate Financial Mathematics | Semester 2 (Dual-Delivery - Parkville) |
12.5 |
For 2022 entry:
All of
Code | Name | Teaching period | Credit Points |
---|---|---|---|
ACTL20003 | Stochastic Techniques in Insurance | Semester 2 (Dual-Delivery - Parkville) |
12.5 |
ACTL30006 | Intermediate Financial Mathematics | Semester 2 (Dual-Delivery - Parkville) |
12.5 |
Corequisites
None
Non-allowed subjects
None
Recommended background knowledge
Please refer to Prerequisites and Corequisites.
Inherent requirements (core participation requirements)
The University of Melbourne is committed to providing students with reasonable adjustments to assessment and participation under the Disability Standards for Education (2005), and the Assessment and Results Policy (MPF1326). Students are expected to meet the core participation requirements for their course. These can be viewed under Entry and Participation Requirements for the course outlines in the Handbook.
Further details on how to seek academic adjustments can be found on the Student Equity and Disability Support website: http://services.unimelb.edu.au/student-equity/home
Last updated: 3 November 2022
Assessment
Description | Timing | Percentage |
---|---|---|
Assignment
| Second half of the teaching period | 20% |
Mid-semester Test
| Second half of the teaching period | 10% |
End-of-semester Examination
| During the examination period | 70% |
Additional details
Important online examination information: This examination is the equivalent of a 2-hour assessment; however, students are provided with 3-hours to accommodate the time that will be required for typesetting of mathematical expressions and the uploading of documents.
Last updated: 3 November 2022
Dates & times
- Semester 1 - Online
Principal coordinator Zhuo Jin Mode of delivery Online Contact hours Three hours of lectures and/or tutorials per week Total time commitment 170 hours Teaching period 1 March 2021 to 30 May 2021 Last self-enrol date 12 March 2021 Census date 31 March 2021 Last date to withdraw without fail 7 May 2021 Assessment period ends 25 June 2021 Semester 1 contact information
Time commitment details
170 Hours
Last updated: 3 November 2022
Further information
- Texts
Prescribed texts
You will be advised of prescribed texts by your lecturer.
Recommended texts and other resources
Information Not Available
- Available through the Community Access Program
About the Community Access Program (CAP)
This subject is available through the Community Access Program (also called Single Subject Studies) which allows you to enrol in single subjects offered by the University of Melbourne, without the commitment required to complete a whole degree.
Entry requirements including prerequisites may apply. Please refer to the CAP applications page for further information.
- Available to Study Abroad and/or Study Exchange Students
This subject is available to students studying at the University from eligible overseas institutions on exchange and study abroad. Students are required to satisfy any listed requirements, such as pre- and co-requisites, for enrolment in the subject.
Last updated: 3 November 2022