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(Created page with "<math>\mathrm{X}</math> and <math>\mathrm{Y}</math> are both age <math>61 . \mathrm{X}</math> has just purchased a whole life insurance policy. <math>\mathrm{Y}</math> purchased a whole life insurance policy one year ago. Both <math>\mathrm{X}</math> and <math>\mathrm{Y}</math> are subject to the following 3-year select and ultimate table: {| class="table" ! <math>x</math> !! <math>\ell_{[x]}</math> !! <math>\ell_{[x]+1}</math> !! <math>\ell_{[x]+2}</math> !! <math>\el...") |
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<ul class="mw-excansopts"><li> 0.035</li><li> 0.045</li><li> 0.055</li><li> 0.065</li><li> 0.075</li></ul> | <ul class="mw-excansopts"><li> 0.035</li><li> 0.045</li><li> 0.055</li><li> 0.065</li><li> 0.075</li></ul> | ||
{{soacopyright|2024}} | |||
Latest revision as of 01:34, 18 January 2024
[math]\mathrm{X}[/math] and [math]\mathrm{Y}[/math] are both age [math]61 . \mathrm{X}[/math] has just purchased a whole life insurance policy. [math]\mathrm{Y}[/math] purchased a whole life insurance policy one year ago.
Both [math]\mathrm{X}[/math] and [math]\mathrm{Y}[/math] are subject to the following 3-year select and ultimate table:
| [math]x[/math] | [math]\ell_{[x]}[/math] | [math]\ell_{[x]+1}[/math] | [math]\ell_{[x]+2}[/math] | [math]\ell_{x+3}[/math] | [math]x+3[/math] |
|---|---|---|---|---|---|
| 60 | 10,000 | 9,600 | 8,640 | 7,771 | 63 |
| 61 | 8,654 | 8,135 | 6,996 | 5,737 | 64 |
| 62 | 7,119 | 6,549 | 5,501 | 4,016 | 65 |
| 63 | 5,760 | 4,954 | 3,765 | 2,410 | 66 |
The force of mortality is constant over each year of age.
Calculate the difference in the probability of survival to age 64.5 between [math]\mathrm{X}[/math] and [math]\mathrm{Y}[/math].
- 0.035
- 0.045
- 0.055
- 0.065
- 0.075
Copyright 2024. The Society of Actuaries, Schaumburg, Illinois. Reproduced with permission.