excans:A010d00414: Difference between revisions
From Stochiki
No edit summary |
No edit summary |
||
| Line 15: | Line 15: | ||
<math>1000_{2.5} q_{[50]+0.4}=16.42</math> | <math>1000_{2.5} q_{[50]+0.4}=16.42</math> | ||
{{soacopyright|2024}} | |||
{{soacopyright|2024}} | {{soacopyright|2024}} | ||
{{soacopyright|2024}} | {{soacopyright|2024}} | ||
Latest revision as of 02:34, 18 January 2024
Answer: B
[[math]]
\begin{aligned}
{ }_{2.5} q_{[50]+0.4} & =1-{ }_{2.5} p_{[50]+0.4}=1-{ }_{2.9} p_{[50]} /\left(p_{[50]}\right)^{0.4} \\
& =1-\left\{p_{[50]} p_{[50]+1}\left(p_{52}\right)^{0.9}\right\} /\left(1-q_{[50]}\right)^{0.4} \\
& =1-\left\{\left(1-q_{[50]}\right)\left(1-q_{[50]+1}\right)\left(1-q_{52}\right)^{0.9}\right\} /\left(1-q_{[50]}\right)^{0.4} \\
& =1-\left\{(1-0.0050)(1-0.0063)(1-0.0080)^{0.9}\right\} /(1-0.0050)^{0.4} \\
& =0.01642
\end{aligned}
[[/math]]
[math]1000_{2.5} q_{[50]+0.4}=16.42[/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.