excans:8a679f5d29: Difference between revisions
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<math>10,000_{2.2} q_{[51]+0.5}=1,074</math> | <math>10,000_{2.2} q_{[51]+0.5}=1,074</math> | ||
{{soacopyright|2024}} | |||
{{soacopyright|2024}} | {{soacopyright|2024}} | ||
Revision as of 02:34, 18 January 2024
Answer: E
[math]{ }_{2.2} q_{[51]+0.5}=\frac{l_{[51]+0.5}-l_{53.7}}{l_{[51]+0.5}}[/math]
[math]l_{[51]+0.5}=0.5 l_{[51]}+0.5 l_{[51]+1}=0.5(97,000)+0.5(93,000)=95,000[/math]
[math]l_{53.7}=0.3 l_{53}+0.7 l_{54}=0.3(89,000)+0.7(83,000)=84,800[/math]
[math]{ }_{2.2} q_{[51]+0.5}=\frac{95,000-84,800}{95,000}=0.1074[/math]
[math]10,000_{2.2} q_{[51]+0.5}=1,074[/math]
Copyright 2024. The Society of Actuaries, Schaumburg, Illinois. Reproduced with permission.
Copyright 2024. The Society of Actuaries, Schaumburg, Illinois. Reproduced with permission.