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2008 Product Development Actuary Symposium The Changing Face and Pace of Mortality: An Enlightened View of Annuitant Mortality Yuhong (Jason) Xue , FSA, MAAA May 5, 2008
Agenda ,[object Object],[object Object],[object Object],[object Object]
Measurement of Current Mortality Experience
Current Approach (Experience Study) ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Predictive Modeling ,[object Object],Amount Y.o.B. Age etc. Sex Married Expected mortality Model
Generalized Linear Models (GLMs) ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
E[ Y ] =   = g  (  X   ) -1 Observed thing (data) Some function (user defined) Some matrix based on data (user defined) as per linear models Parameters to be estimated (the answer!) Generalised linear models
Bedtime reading ,[object Object],[object Object]
Examples ,[object Object],[object Object],[object Object]
How to Read the Graphs ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Example 1: Effect of Annuity Amount Results show evidence of reduced mortality with increased benefits
Example 2: Calendar Year Trend Mortality improvements 1% per annum over previous six years
Example 3: The Selection Effect Selection effect is not conclusive
Example 4: Birth Cohort Effect No Cohort Effect for male and Female
Example 5: Effect of Joint Life Status Evidence of “broken heart syndrome” which may influence pricing
Questions we wish to answer ,[object Object],[object Object],[object Object],[object Object]
Development of Mortality Improvement Trend
Introduction ,[object Object],[object Object],[object Object],[object Object],[object Object]
The Potential Impact of Longevity ,[object Object],[object Object]
Existing Improvement Projection  ,[object Object],[object Object],[object Object],[object Object]
Mortality Models Characteristics ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Mortality Models Characteristics - Continued ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Data Sources for Projecting Rates of Mortality Improvement ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Typical Data Requirements: Insurance Company ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
[object Object]
GLM Results: Multipliers for Each Factor  ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Multipliers are Expressed as Relativities ,[object Object],[object Object]
Factors “true”  Weights Applied to Standard Mortality Table to Arrive at Mortality Assumption Standard Table Table for Income>50k & Single

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Mortality Product Development Symposium 2008

  • 1. 2008 Product Development Actuary Symposium The Changing Face and Pace of Mortality: An Enlightened View of Annuitant Mortality Yuhong (Jason) Xue , FSA, MAAA May 5, 2008
  • 2.
  • 3. Measurement of Current Mortality Experience
  • 4.
  • 5.
  • 6.
  • 7. E[ Y ] =  = g ( X   ) -1 Observed thing (data) Some function (user defined) Some matrix based on data (user defined) as per linear models Parameters to be estimated (the answer!) Generalised linear models
  • 8.
  • 9.
  • 10.
  • 11. Example 1: Effect of Annuity Amount Results show evidence of reduced mortality with increased benefits
  • 12. Example 2: Calendar Year Trend Mortality improvements 1% per annum over previous six years
  • 13. Example 3: The Selection Effect Selection effect is not conclusive
  • 14. Example 4: Birth Cohort Effect No Cohort Effect for male and Female
  • 15. Example 5: Effect of Joint Life Status Evidence of “broken heart syndrome” which may influence pricing
  • 16.
  • 17. Development of Mortality Improvement Trend
  • 18.
  • 19.
  • 20.
  • 21.
  • 22.
  • 23.
  • 24.
  • 25.
  • 26.
  • 27.
  • 28. Factors “true” Weights Applied to Standard Mortality Table to Arrive at Mortality Assumption Standard Table Table for Income>50k & Single