Revision as of 22:50, 19 November 2023 by Admin (Created page with "'''Solution: E ''' <math display="block"> \begin{aligned} & P=X a_{\overline{12} | 0.02}+1000 v^{12} \\ & 500+P=2 X a_{\overline{12} | 0.02}+1000 v^{12} \end{aligned} </math> Subtract the first equation from the second. <math display="block"> \begin{aligned} & 500=X a_{\overline{12} \mid 0.02} \\ & X=47.28 \end{aligned} </math> {{soacopyright | 2023 }}")
Exercise
ABy Admin
Nov 19'23
Answer
Solution: E
[[math]]
\begin{aligned}
& P=X a_{\overline{12} | 0.02}+1000 v^{12} \\
& 500+P=2 X a_{\overline{12} | 0.02}+1000 v^{12}
\end{aligned}
[[/math]]
Subtract the first equation from the second.
[[math]]
\begin{aligned}
& 500=X a_{\overline{12} \mid 0.02} \\
& X=47.28
\end{aligned}
[[/math]]
Copyright 2023 . The Society of Actuaries, Schaumburg, Illinois. Reproduced with permission.