excans:9a9da33529: Difference between revisions
(Created page with "'''Answer: C''' {| class="table table-bordered" ! <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> |- | 52 || 0.030 || 0.043 || 0.057 || 0.072 || 55 |} <math>l_{[52]}=1000</math> (arbitrary, for convenience; any other value would work and give the same answer) <math>l_{[52]+1}=1000(1-0.03)=970</math> <math>l_{[52]+2}=970(1-0.043)=928.29</math> <math>l_{55}=928.29(1-0.057)=875.37...") |
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<math>1000\left(\left(_{0.6 \mid 1.5} q_{[52]+1.7}\right)=1000 \frac{912.42-824.96}{940.80}=92.96\right.</math> | <math>1000\left(\left(_{0.6 \mid 1.5} q_{[52]+1.7}\right)=1000 \frac{912.42-824.96}{940.80}=92.96\right.</math> | ||
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Latest revision as of 02:34, 18 January 2024
Answer: C
| [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] |
|---|---|---|---|---|---|
| 52 | 0.030 | 0.043 | 0.057 | 0.072 | 55 |
[math]l_{[52]}=1000[/math] (arbitrary, for convenience; any other value would work and give the same answer)
[math]l_{[52]+1}=1000(1-0.03)=970[/math]
[math]l_{[52]+2}=970(1-0.043)=928.29[/math]
[math]l_{55}=928.29(1-0.057)=875.3775[/math]
[math]l_{56}=875.3775(1-0.072)=812.3503[/math]
[math]l_{[52]+2.3}=(0.7) l_{[52]+2}+(0.3) l_{55}=912.42[/math]
[math]l_{[52]+3.8}=l_{55.8}=(0.2) l_{55}+(0.8) l_{56}=824.96[/math]
[math]l_{[52]+1.7}=(0.3) l_{[52]+1}+(0.7) l_{[52]+2}=940.80[/math]
[math]1000\left(\left(_{0.6 \mid 1.5} q_{[52]+1.7}\right)=1000 \frac{912.42-824.96}{940.80}=92.96\right.[/math]
Copyright 2024. The Society of Actuaries, Schaumburg, Illinois. Reproduced with permission.
Copyright 2024. The Society of Actuaries, Schaumburg, Illinois. Reproduced with permission.
Copyright 2024. The Society of Actuaries, Schaumburg, Illinois. Reproduced with permission.