This page contains information and material for the course Actuarial Mathematics II, lectured in 2013-14 (Term 2) by Frank Coolen.

Course material will appear on this page, slides used in lectures will typically be available a few days before the lecture. You are strongly recommended to download these (or print) for your own use, they are not handed out. Occassionally the slides may change following the lectures, to correct any errors (do let me know if you spot errors!) - in that case the date of last change will be indicated between brackets. Of course, best practice consists of producing your own detailed notes following lectures, based on the presentation at the lectures, the online materials and any further resources. Minor proofs or calculations may also be left as exercises during the lectures, you are strongly recommended to complete all these.

Notation and presentation in this course will be pretty close to the strongly recommended course book: `Life Insurance Mathematics', by H.U. Gerber and S.H. Cox (Springer). In this course, we will use some tables from that book, which have been kindly made available to us by the authors: Tables .

If you want to read more about (most of) the material we present in this module, and (many) additional topics in Actuarial Mathematics (for example this might be interesting if you are considering a career in this field), then I would recommend the book `Fundamentals of Actuarial Mathematics' by S.D. Promislow (Wiley) and the book `Modern Actuarial Theory and Practice' by P. Booth, et al (Chapman and Hall). These books go beyond the course material and for example also cover topics in non-life insurance.

Homework will be set five times, roughly once per two weeks, to be handed in at the lecture a week later (hand-in dates will be given, these are strict deadlines - of course you can hand in homeworks earlier). There will also be tutorials, the schedule of homeworks should leave you sufficient time to prepare well for tutorials, by going through lecture notes and already attempting some of the problems that will be set for the tutorials. The tutorial problems will be a selection from the `Exercises Sheets'. It should be emphasized that all problems on the exercise sheets are relevant and you are strongly recommended to attempt all before consulting the solutions, which will be provided from this webpage at some point once no further exercises from the corresponding sheet will be discussed in the support classes. The homework problems will be presented on different hand-outs, solutions to these will also be made available from this webpage.

If you write your homework with the use of Latex, then you can use the Latex Style file that was also made available by the authors together with a guide to its use. You can download the style file here: Latex Style file, and here is the User's Guide.

Office hours Term 3

Lecture slides

  1. 23 January
  2. 24 January
  3. 30 January (Lecture 31 January cancelled)
  4. 6 February
  5. 7 February
  6. 13 February
  7. 14 February
  8. 20 February
  9. 21 February
  10. 27 February
  11. 28 February
  12. 6 March
  13. 7 March (Minor changes after lecture)
  14. 13 March
  15. 14 March
  16. 21 March (Note: Lecture 20 March will be used for a talk about careers in Actuary.)


  1. Interest, annuities
  2. Lifetime models
  3. Life insurance
  4. Life annuities; net premiums
  5. Expenses; family income insurance; reserves


Homework has to be handed in on (or before) the given deadlines (click on these for the hand-outs).
  1. 30 January
  2. 7 February
  3. 27 February
  4. 21 March
  5. 30 April

Exercises for tutorials and problems classes

The following exercises (from the exercise sheets above) are recommended for the tutorials and problems classes; it is useful to have a look at these before the classes. All further exercises on the exercise sheets are also useful and important!


Careers Presentation

The lecture slot on 20 March has been used for a presentation on careers in Actuary by Rebecca Baker. The slides for her presentation are available here.

Further Information

There is a lot of information about careers in Actuary and related topics on the webpages Actuarial Profession and Government Actuary's Department.

Frank Coolen
Most recent update: 30/04/2014