UNIVERSITY OF KENT MODULE SPECIFICATION TEMPLATE SECTION 1: MODULE SPECIFICATIONS 1. Title of the module : Survival Models (MA525) 2. School or partner institution which will be responsible for management of the module School of Mathematics, Statistics and Actuarial Science 3. Start date of the module : Prior to 2008 (revised version start date September 2014) 4. The number of students expected to take the module: 90 (2014/5) 5. Modules to be withdrawn on the introduction of this proposed module and consultation with other relevant Schools and Faculties regarding the withdrawal None 6. The level of the module (e.g. Certificate [C], Intermediate [I], Honours [H] or Postgraduate [M]): H 7. The number of credits and the ECTS value which the module represents : 15 (ECTS 7.5) 8. Which term(s) the module is to be taught in (or other teaching pattern): Autumn term 9. Prerequisite and co-requisite modules: Prerequisite modules: MA516 Contingencies I There are no co-requisite modules. 10. The programmes of study to which the module contributes BSc (Hons) Actuarial Science, BSc (Hons) Financial Mathematics (including programmes with a year in industry) 11. The intended subject specific learning outcomes On successful completion of this module students will be able to: a) describe the principles of actuarial modelling; b) describe non-parametric estimation procedures for the lifetime distribution, including censoring, the Kaplan-Meier estimate, Nelson-Aalen estimate and Cox regression model (proportional hazards model); c) derive maximum likelihood estimators (and hence estimates) for the transition intensities in models of transfers between states with piecewise constant transition intensities; d) describe the Binomial and Poisson models of mortality, deriving maximum likelihood estimators for the probability/force of mortality and compare with the Markov model; e) describe how to estimate transition intensities depending on age, exactly or using the census approximation, including calculation of exposed to risk and specification of census formulae based on various age definitions; f) describe and carry out tests for the consistency of crude estimates with a standard table or a set of graduated estimates; g) describe the process of graduation and the advantages and disadvantages of the various methods. 1 UNIVERSITY OF KENT 12. The intended generic learning outcomes Students who successfully complete this module will have further developed: a) a logical mathematical approach to solving problems; b) skills in oral and written communication; c) time management and organisation skills; d) studying. 13. A synopsis of the curriculum To follow objectives (i) and (vi) to (x) of the professional curriculum of the Faculty and Institute of Actuaries examination CT4. This syllabus can be viewed on http://www.actuaries.org.uk. This is a dynamic syllabus, changing regularly to reflect current practice. 14. Indicative Reading List Students are recommended to purchase the study notes published by the Actuarial Education Company for Subject CT4 – Models. 15. Learning and Teaching Methods, including the nature and number of contact hours and the total study hours which will be expected of students, and how these relate to achievement of the intended module learning outcomes. Number of contact hours: 36. Number of independent learning hours: 102. Total study hours: 150. The lectures, which will contain a number of worked and extended examples to aid understanding and emphasise the practical application of the theory, will cover learning outcomes 11(a)-(g) and 12(a),(b). Coursework, which counts towards the module mark, is intended to reinforce the lecture material, encourage the student to read the study notes and to apply the concepts taught to practical problems. This will additionally cover learning outcomes 12(c),(d). 16. Assessment methods and how these relate to testing achievement of the intended module learning outcomes The module will be assessed by examination (80%) and coursework (20%). Coursework: This will consist of two closed-book written assessments which are completed by students during contact hours. These consist of a multiple choice test to assess learning outcomes 11(a)-(g), and a spreadsheet based test which covers learning outcomes 11(d) – (f). In addition the coursework assesses 12(a)-(d). Examination: A 3-hour written examination in the Summer term that will consist of questions and numerical problems requiring short and long answers and they test learning outcomes 11(a)-(g) and 12(a)-(d). 17. Implications for learning resources, including staff, library, IT and space This module has been in existence for several years. There should be minimal overall impact on the above resources. 18. The School recognises and has embedded the expectations of current disability equality legislation, and supports students with a declared disability or special educational need in its teaching. Within this module we will make reasonable adjustments wherever necessary, including additional or 2 UNIVERSITY OF KENT substitute materials, teaching modes or assessment methods for students who have declared and discussed their learning support needs. Arrangements for students with declared disabilities will be made on an individual basis, in consultation with the University’s disability/dyslexia support service, and specialist support will be provided where needed. 19. Campus where module will be delivered: Canterbury SECTION 2: MODULE IS PART OF A PROGRAMME OF STUDY IN A UNIVERSITY SCHOOL Statement by the School Director of Learning and Teaching/School Director of Graduate Studies (as appropriate): "I confirm I have been consulted on the above module proposal and have given advice on the correct procedures and required content of module proposals" ................................................................ .............................................. Director of Learning and Teaching/Director of Graduate Studies (delete as applicable) Date ………………………………………………… Print Name Statement by the Head of School: "I confirm that the School has approved the introduction of the module and, where the module is proposed by School staff, will be responsible for its resourcing" ................................................................. .............................................. Head of School Date ……………………………………………………. Print Name Module Specification Template Last updated February 2013 3