Exercise
ABy Admin
Jan 19'24
Answer
Answer: C
[[math]]
\begin{aligned}
& A P V(\text { expenses })=0.35 G+8+0.15 G a_{30: 4 \mid}+4 a_{30: 9]} \\
& =0.20 G+4+0.15 G \ddot{a}_{30: 51}+4 \ddot{a}_{30: 10}
\end{aligned}
[[/math]]
[math]G \ddot{a}_{30: 51}=0.20 G+4+0.15 G \ddot{a}_{30: 5]}+4 \ddot{a}_{30: 10 \mid}+200,000 A_{30: 10}^{1}[/math]
[math]G=\frac{200,000 A_{30: \overline{10}}^{1}+4+4 \ddot{a}_{30: \overline{10}}}{0.85 \ddot{a}_{30: 5 \mid}-0.20}[/math]
[math]200,000 A_{30: 10 \mid}^{1}=200,000\left[A_{30: 10 \mid}-{ }_{10} E_{30}\right][/math]
[math]=200,000(0.61447-0.61152)=590[/math]
[math]G=\frac{590+4+4(8.0961)}{0.85(4.5431)-0.20}=171.07[/math]
Copyright 2024. The Society of Actuaries, Schaumburg, Illinois. Reproduced with permission.