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ACSC13-306: Stochastic Processes

Description

The focus of this subject is stochastic processes that are typically used to model the dynamic behaviour of random variables indexed by time. The close-of-day exchange rate is an example of a discrete-time stochastic process. There are also continuous-time stochastic processes that involve continuously observing variables, such as the water level within significant rivers. This subject covers discrete Markov chains, continuous-time stochastic processes and some simple time-series models. It also covers applications to insurance, reinsurance and insurance policy excesses, amongst others.

Subject details

TypeUndergraduate
CodeACSC13-306
EFTSL0.125
FacultyBond Business School
Semesters offered
  • September 2021 [Standard Offering]
  • January 2022 [Standard Offering]
  • September 2022 [Standard Offering]
  • January 2023 [Standard Offering]
  • September 2023 [Standard Offering]
Credit10
Study areas
  • Actuarial Science
Subject fees
  • Commencing in 2021: $3,890
  • Commencing in 2022: $3,950

Learning outcomes

1. Determine the type of a stochastic process and whether it possesses certain well-known properties.
2. Define, estimate and analyse Markov chains, including their long-run behaviour.
3. Define, estimate and analyse Markov jump processes, both time-homogeneous and time-inhomogeneous.
4. Define, estimate and analyse compound stochastic processes including their applications to insurance, reinsurance and policy excess.
5. Estimate and analyse some basic time-series models, including ARIMA and exponential smoothing models.
6. Use statistical software commonly used by practitioners to model stochastic processes.

Enrolment requirements

Requisites: ?

Pre-requisites: ?

Co-requisites: ?

There are no co-requisites.

Restrictions: ?

Anti-requisites: ?

Subject outlines

Subject dates

Standard Offering
Enrolment opens15/11/2020
Semester start18/01/2021
Subject start18/01/2021
Cancellation 1?01/02/2021
Cancellation 2?08/02/2021
Last enrolment31/01/2021
Withdraw – Financial?13/02/2021
Withdraw – Academic?06/03/2021
Teaching census?12/02/2021
Standard Offering
Enrolment opens18/07/2021
Semester start13/09/2021
Subject start13/09/2021
Cancellation 1?27/09/2021
Cancellation 2?04/10/2021
Last enrolment26/09/2021
Withdraw – Financial?09/10/2021
Withdraw – Academic?30/10/2021
Teaching census?08/10/2021