Mathematics of Finance III

Subject ACTL90003 (2015)

Note: This is an archived Handbook entry from 2015.

Credit Points: 12.5
Level: 9 (Graduate/Postgraduate)
Dates & Locations:

This subject has the following teaching availabilities in 2015:

Semester 1, Parkville - Taught on campus.
Pre-teaching Period Start not applicable
Teaching Period 02-Mar-2015 to 31-May-2015
Assessment Period End 26-Jun-2015
Last date to Self-Enrol 13-Mar-2015
Census Date 31-Mar-2015
Last date to Withdraw without fail 08-May-2015

Timetable can be viewed here. For information about these dates, click here.
Time Commitment: Contact Hours: 3 hours of lectures and workshops per week
Total Time Commitment:

Estimated total time commitment of 120 hours per semester


ACTL90001 Mathematics of Finance I

Study Period Commencement:
Credit Points:
Corequisites: None
Recommended Background Knowledge:

Students should be competent in the use of Excel.

Non Allowed Subjects:

ACTL40004 Advanced Financial Mathematics I

Core Participation Requirements:

For the purposes of considering request for Reasonable Adjustments under the Disability Standards for Education (Cwth 2005), and Student Support and Engagement Policy, academic requirements for this subject are articulated in the Subject Overview, Learning Outcomes, Assessment and Generic Skills sections of this entry.

It is University policy to take all reasonable steps to minimise the impact of disability upon academic study, and reasonable adjustments will be made to enhance a student's participation in the University's programs. Students who feel their disability may impact on meeting the requirements of this subject are encouraged to discuss this matter with a Faculty Student Adviser and Student Equity and Disability Support:


Dr Zhuo Jin


Subject Overview:

The binomial model; risk-neutral pricing of derivative securities; introduction to Ito's formula and SDEs; stochastic asset models; Black-Scholes model; arbitrage and hedging; interest-rate models; actuarial applications.

Learning Outcomes:

On successful completion of this subject a student should be able to:

  • Demonstrate a knowledge of the properties of option prices, valuation methods and hedging techniques, and be able to apply these;
  • Show how to use binomial trees and lattices in valuing options;
  • Apply the Ito calculus;
  • Derive 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;
  • Describe, 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.
  • A 1000 word assignment due second half of semester (10%);
  • A one hour mid-semester test (20%) and
  • Two hour end of semester exam (70%).
Prescribed Texts:

You will be advised of prescribed texts by your lecturer.

Breadth Options:

This subject is not available as a breadth subject.

Fees Information: Subject EFTSL, Level, Discipline & Census Date
Generic Skills:

High level of development:

  • Written communication;
  • Problem solving;
  • Mathematical reasoning;
  • Simple models of credit risk;
  • Application of theory to practice;
  • Interpretation and analysis.
Related Course(s): Graduate Diploma in Actuarial Science
Master of Actuarial Science
Master of Commerce (Actuarial Science)
Postgraduate Diploma in Actuarial Science

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