excans:9a9da33529

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.