Module Details
The information contained in this module specification was correct at the time of publication but may be subject to change, either during the session because of unforeseen circumstances, or following review of the module at the end of the session. Queries about the module should be directed to the member of staff with responsibility for the module.
Title INTEREST RATE THEORY
Code MATL481
Coordinator Dr S Mitra
Mathematical Sciences
Sovan.Mitra@liverpool.ac.uk
Year CATS Level Semester CATS Value
Session 2016-17 Level 7 FHEQ Second Semester 15

Aims

1.    To provide a generalfoundation for pricing and hedging of financial derivatives, and an analysis ofvarious market models.

2.    To introduce the typical stochastic interest rate models, and pricing and hedging methodologies offinancial derivatives in such a setting.

3.    To give a detailed analysis ofbasic fixed-income securities,  such as bonds, swaps, caps,  swapations, caplets, and floorlets.


Learning Outcomes

A critical awareness of current problems and research issues in thefield of financial derivatives, interest rate models, and fixed-incomesecurities.

The ability to select and analyse the appropriate interest rate model.

The ability to derive the prices and the hedging strategies of variousfinancial derivatives.

The ability to read, understand andcommunicate research literature in the field of fixed-income markets.

The ability to recognise potential research opportunities and researchdirections.


Syllabus
1 

Continuous-time financial market model: The financial market model; Equivalent martigale measures; Risk-neutralpricing ; Change of numeraire;

The generalised Black-Scholes model: pricing and hedging contingent claims; The Greeks; Futures market;Currency markets.

The Bond market:  The term structure of interest rates; Bond pricing; Short rate models;The term structure equation; Extensions: multi-factor models

The Heath-Jarrow-Morton Methodology: The Heath-Jarrow-Morton model class; Forward risk-neutral martingalemeasures; Completeness; Gaussian HJM framework; Swaps; Caps.

Market models of LIBOR- andSwap rates:  LIBOR dynamics under the forward LIBOR measure; The spot LIBOR measure;Valuation of Caplets and Floorlets; The swap market model

Recommended Texts
Reading lists are managed at readinglists.liverpool.ac.uk. Click here to access the reading lists for this module.
Explanation of Reading List:

Pre-requisites before taking this module (other modules and/or general educational/academic requirements):
BSc Maths/Financial Maths 

Co-requisite modules:
 

Modules for which this module is a pre-requisite:
 

Programme(s) (including Year of Study) to which this module is available on a required basis:
MPFA - Financial and Actuarial Mathematics

Programme(s) (including Year of Study) to which this module is available on an optional basis:
 

Assessment
EXAM Duration Timing
(Semester)		 % of
final
mark		 Resit/resubmission
opportunity		 Penalty for late
submission		 Notes
Unseen Written Exam  150  End of Semester  90  Yes  Standard UoL penalty applies  Exam Notes (applying to all assessments) 1 (set of) assessment tasks and a final written examination  
CONTINUOUS Duration Timing
(Semester)		 % of
final
mark		 Resit/resubmission
opportunity		 Penalty for late
submission		 Notes
Coursework    During the semester  10  No reassessment opportunity  Standard UoL penalty applies  Regular problem sets There is no reassessment opportunity, Exemption granted