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(Created page with "For a given population with two subgroups, you are given: i) Subgroup <math>\mathrm{X}</math> represents 80% of the total population and is subject to a constant annual force of mortality of 0.01 ii) Subgroup <math>\mathrm{Y}</math> represents 20% of the total population and is subject to a constant annual force of mortality of 0.02 Calculate the proportion of the population 15 years from now that is part of subgroup <math>\mathrm{X}</math>. <ul class="mw-excansopts"...") |
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<ul class="mw-excansopts"><li>80.0%</li><li>81.1%</li><li> 82.3%</li><li>83.4%</li><li>84.6%</li></ul> | <ul class="mw-excansopts"><li>80.0%</li><li>81.1%</li><li> 82.3%</li><li>83.4%</li><li>84.6%</li></ul> | ||
{{soacopyright|2024}} | |||
Latest revision as of 01:31, 18 January 2024
For a given population with two subgroups, you are given:
i) Subgroup [math]\mathrm{X}[/math] represents 80% of the total population and is subject to a constant annual force of mortality of 0.01
ii) Subgroup [math]\mathrm{Y}[/math] represents 20% of the total population and is subject to a constant annual force of mortality of 0.02
Calculate the proportion of the population 15 years from now that is part of subgroup [math]\mathrm{X}[/math].
- 80.0%
- 81.1%
- 82.3%
- 83.4%
- 84.6%
Copyright 2024. The Society of Actuaries, Schaumburg, Illinois. Reproduced with permission.