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STAT2032 Financial Mathematics

Later Year Course

Offered By Rsch Sch of Finance, Actuarial Studies & App Stats
Academic Career Undergraduate
Course Subject Statistics
Offered in First Semester, 2012, First Semester, 2013, and Second Semester, 2013
Unit Value 6 units
Course Description

Compound interest functions; valuation of annuities certain; loans repayable by instalments; comparison of value and yield of cash flow transactions; valuation of fixed interest securities, with and without tax on interest and capital gains; duration and volatility of securities; introduction to concept of immunisation and matching; consumer credit contracts; introduction to stochastic interest rate models.

Learning Outcomes

To achieve an understanding of and facility in:

  • Cashflow models. Simple and compound interest. Accumulated and present values.
  • Nominal and effective rates of interest and discount, and the force of interest.
  • Introduction to annuities and their valuation. Perpetuities. Continuous, increasing, decreasing and indexed annuities.
  • Equations of value. Introduction to linear interpolation and annuity tables. Dealing with inflation.
  • Loan valuation and payments.
  • Capital budgeting including NPV, IRR and DPP. Measuring investment performance. TWRR and MWRR.
  • Valuation of fixed interest securities, with and without tax on interest and capital gains. Calculating yields. Allowing for callable features and inflation. Extending to property and share valuation.
  • Arbitrage and valuation of forward contracts. Yield curve and term structure of interest rates. Calculating forward and spot rates.
  • Interest rate risk: duration, effective duration and convexity. Conditions for and determination of immunisation.
  • Introduction to stochastic interest rate models.
Indicative Assessment
  • In-class Quizzes : 30%

  • Final examination: 70%

Workload

Three contact hours per week plus at least 7 hours private study time.

Areas of Interest Actuarial Studies, Finance, and Statistics
Requisite Statement

Completion of STAT1008 Quantitative Research Methods or STAT1003 Statistical Techniques

Majors/Specialisations Finance
Other Information

Please refer to Course Website

Science Group B
Academic Contact See http://ecocomm.anu.edu.au/courses/course.asp?code=STAT2032 and Ewan.Evans@anu.edu.au

The information published on the Study at ANU 2012 website applies to the 2012 academic year only. All information provided on this website replaces the information contained in the Study at ANU 2011 website.

Updated:   13 Nov 2015 / Responsible Officer:   The Registrar / Page Contact:   Student Business Solutions