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(Created page with "'''Answer: E''' Using UDD <math>l_{63.4}=(0.6) 66,666+(0.4)(55,555)=62,221.6</math> <math>l_{65.9}=(0.1)(44,444)+(0.9)(33,333)=34,444.1</math> <math>{ }_{3.4 \mid 2.5} q_{60}=\frac{l_{63.4}-l_{65.9}}{l_{60}}=\frac{62,221.6-34,444.1}{99,999}=0.277778</math> Using constant force <math display="block"> \begin{aligned} l_{63.4} & =l_{63}\left(\frac{l_{64}}{l_{63}}\right)^{0.4}=l_{63}^{0.6} l_{64}^{0.4} \\ & =\left(66,666^{0.6}\right)\left(55,555^{0.4}\right) \\ & =61,...") |
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<math>100,000(a-b)=100,000(0.277778-0.276716)=106</math> | <math>100,000(a-b)=100,000(0.277778-0.276716)=106</math> | ||
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Latest revision as of 02:34, 18 January 2024
Answer: E
Using UDD
[math]l_{63.4}=(0.6) 66,666+(0.4)(55,555)=62,221.6[/math]
[math]l_{65.9}=(0.1)(44,444)+(0.9)(33,333)=34,444.1[/math]
[math]{ }_{3.4 \mid 2.5} q_{60}=\frac{l_{63.4}-l_{65.9}}{l_{60}}=\frac{62,221.6-34,444.1}{99,999}=0.277778[/math]
Using constant force
[[math]]
\begin{aligned}
l_{63.4} & =l_{63}\left(\frac{l_{64}}{l_{63}}\right)^{0.4}=l_{63}^{0.6} l_{64}^{0.4} \\
& =\left(66,666^{0.6}\right)\left(55,555^{0.4}\right) \\
& =61,977.2 \\
l_{65.9} & =l_{65}^{0.1} l_{66}^{0.9}=\left(44,444^{0.1}\right)\left(33,333^{0.9}\right) \\
& =34,305.9 \\
3.4 \mid 2.5 & q_{60}=\frac{61,977.2-34,305.9}{99.999} \\
& =0.276716
\end{aligned}
[[/math]]
[math]100,000(a-b)=100,000(0.277778-0.276716)=106[/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.