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(Created page with "You are given: i) The following extract from a three-year select and ultimate table: {| class="table" ! <math>[x]</math> !! <math>q_{[x]}</math> !! <math>q_{[x]+1}</math> !! <math>q_{[x]+2}</math> !! <math>q_{x+3}</math> !! <math>x+3</math> |- | 50 || 0.020 || 0.031 || 0.043 || 0.056 || 53 |- | 51 || 0.025 || 0.037 || 0.050 || 0.065 || 54 |- | 52 || 0.030 || 0.043 || 0.057 || 0.072 || 55 |- | 53 || 0.035 || 0.049 || 0.065 || 0.091 || 56 |- | 54 || 0.040 || 0.055 || 0.0...") |
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Latest revision as of 01:34, 18 January 2024
You are given:
i) The following extract from a three-year select and ultimate table:
| [math][x][/math] | [math]q_{[x]}[/math] | [math]q_{[x]+1}[/math] | [math]q_{[x]+2}[/math] | [math]q_{x+3}[/math] | [math]x+3[/math] |
|---|---|---|---|---|---|
| 50 | 0.020 | 0.031 | 0.043 | 0.056 | 53 |
| 51 | 0.025 | 0.037 | 0.050 | 0.065 | 54 |
| 52 | 0.030 | 0.043 | 0.057 | 0.072 | 55 |
| 53 | 0.035 | 0.049 | 0.065 | 0.091 | 56 |
| 54 | 0.040 | 0.055 | 0.076 | 0.113 | 57 |
| 55 | 0.045 | 0.061 | 0.090 | 0.140 | 58 |
ii) Mortality follows a uniform distribution of deaths over each year of age
Calculate [math]1000_{\left(0.6 \mid 1.5 q_{[52]+1.7}\right)}[/math].
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Copyright 2024. The Society of Actuaries, Schaumburg, Illinois. Reproduced with permission.