Revision as of 12:04, 18 November 2023 by Admin (Created page with "'''Solution: C''' The equation of value is <math display = "block"> \begin{aligned} 10,000=(X+5)a_{\overline{{{30}}}|0.05}^{}-5(I a)_{\overline{{{30}}}|0.05}^{} = (X+5)a_{\overline{{{30}}}|0.05}^{} - 5\frac{\ddot{a}_{\overline{30}|0.05}-30v^{30}}{0.05}\\ =(X+5)(15.37245)-5{\frac{6.14107-6.94132}{0.05}}=15.37245X-843.11275 \\ X = (10, 000 843.11275) /15.37245 =705.36 \end{aligned} </math> {{soacopyright | 2023 }}")
Exercise
ABy Admin
Nov 18'23
Answer
Solution: C
The equation of value is
[[math]]
\begin{aligned}
10,000=(X+5)a_{\overline{{{30}}}|0.05}^{}-5(I a)_{\overline{{{30}}}|0.05}^{} = (X+5)a_{\overline{{{30}}}|0.05}^{} - 5\frac{\ddot{a}_{\overline{30}|0.05}-30v^{30}}{0.05}\\
=(X+5)(15.37245)-5{\frac{6.14107-6.94132}{0.05}}=15.37245X-843.11275 \\
X = (10, 000 843.11275) /15.37245 =705.36
\end{aligned}
[[/math]]
Copyright 2023 . The Society of Actuaries, Schaumburg, Illinois. Reproduced with permission.