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Module Specifications

Archived Version 2009 - 2010

Module Title Financial Mathematics
Module Code MS318
School School of Mathematical Sciences

Online Module Resources

Module Co-ordinatorProf John CarrollOffice NumberX139
Level 3 Credit Rating 7.5
Pre-requisite None
Co-requisite None
Module Aims
  • To provide a grounding in financial mathematics and their simple applications.
  • To enable the student to become fully conversant with actuarial philosophy and actuarial scientific methods.

Learning Outcomes
  • Proficiency in presenting a complex, verbally described, financial scenario in mathematical symbolism.
  • Competence in undertaking the mathematical analysis of the resultant mathematical expressions.
  • Ability to appraise the derived solutions and figures for reasonableness and validity.

Indicative Time Allowances
Lectures 36
Tutorials 12
Laboratories 0
Seminars 0
Independent Learning Time 64.5

Total 112.5
Assume that a 7.5 credit module load represents approximately 112.5 hours' work, which includes all teaching, in-course assignments, laboratory work or other specialised training and an estimated private learning time associated with the module.

Indicative Syllabus
Indicative Lecture hours given in < > below:

< 6 > Review of MS216: An Introduction to the Mathematics of Finance with the inclusion of the additional topics of variable force of interest, and weighted rates of return (under Project Appraisal).  [CT1 - (i) to (x) (see MS216 Syllabus)]
< 3 > Investments: Fixed Interest borrowings by Government and other bodies; shares and other equity-type finance; derivatives.  [CT1 - (x)]
< 9 > Simple Compound Interest Problems: Fixed Interest Securities; Running yields and redemption yields; present value/yield from an ordinary share/property; real rate of interest; index-linked bonds; income tax, capital gains tax and investments.  [CT1 - (iv) & (xi)]
< 6 > Arbitrage & Forward Contracts: Price with/without Fixed income and dividend yield; value of a forward contract; hedging. [CT1|(xii)]
< 6 > Term Structure of Interest Rates: Yield (par and to Maturity) spot/forward rates; duration, volatility and convexity; immunization. [CT1|(xiii)]
 < 6 > Stochastic Interest Rate Models: Mean/Variance of independent and identically dis- tributed annual rates of return; log-normal distribution; probability calculations. [CT1|(xiv)]
Continuous Assessment25% Examination Weight75%
Indicative Reading List
  • ActEd Study Materials: Subject CT1 Course Notes, The Actuarial Education Com- pany (on behalf of the Instutute of Actuaries and the Faculty of Actuaries).


Programme or List of Programmes on which this module will be delivered:

  • BSc in Financial & Actuarial Mathematics (until 2009/2010)
  • BSc in Mathematical Sciences (until 2009/2010)
  • BSc in Actuarial Mathematics (from 2010/2011)
Programme or List of Programmes
BSSAStudy Abroad (DCU Business School)
BSSAOStudy Abroad (DCU Business School)
ECSAStudy Abroad (Engineering & Computing)
ECSAOStudy Abroad (Engineering & Computing)
FMBSc in Financial & Actuarial Mathematics
HMSAStudy Abroad (Humanities & Soc Science)
HMSAOStudy Abroad (Humanities & Soc Science)
MSBSc in Mathematical Sciences
SHSAStudy Abroad (Science & Health)
SHSAOStudy Abroad (Science & Health)
SMPSCSingle Module Professional Science