1 / 22

MATH20962 Jon Ferns FIA Jon.ferns@btinternet 07789 487 194 Version 4 February 2014

University of Manchester Contingencies 1 Lecture 2 5 February 2014 “Survival functions, continuous mortality, part year mortality”. MATH20962 Jon Ferns FIA Jon.ferns@btinternet.com 07789 487 194 Version 4 February 2014. Course syllabus. Time until death (random variable).

percy
Download Presentation

MATH20962 Jon Ferns FIA Jon.ferns@btinternet 07789 487 194 Version 4 February 2014

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. University of ManchesterContingencies 1Lecture 25 February 2014“Survival functions, continuous mortality, part year mortality” MATH20962 Jon Ferns FIA Jon.ferns@btinternet.com 07789 487 194 Version 4 February 2014

  2. Course syllabus

  3. Time until death (random variable)

  4. Proving survival probabilities using Tx mpx npx+m x+m Age x x+m+n m+npx

  5. Writing mx (force of mortality) in terms of functions of T0

  6. Writing mx+t in terms of functions of Tx

  7. Writing the survival probability, tpx, in terms of mx

  8. Shape of the lx graph, in terms of mx (mx in terms of lx)

  9. Approximate mortality models for mx

  10. Death probability, tqx, expressed in terms of mx

  11. First principles definition of life expectancy (expected time until death)

  12. Calculating curtate life expectancy in practice

  13. Calculating complete life expectancy in practice

  14. Worked exampleCalculating the variance of complete future lifetime, Var(Tx)

  15. Worked exampleCalculating the variance of curtate future lifetime, Var(Kx)

  16. Relationship between curtate and complete expected life

  17. Quiz

  18. Non-integer ages - UDD

  19. Non-integer ages - UDD

  20. Non-integer ages - CFM

  21. UDD-quiz

  22. CFM-quiz

More Related