Revision as of 10:35, 18 November 2023 by Admin (Created page with "'''Solution: B''' <math display = "block"> \begin{align*} \mathrm{PV}_{\mathrm{perp.}}=\left[\frac{1}{0.1}+\frac{\frac{1}{0.08}-\frac{1}{0.1}}{1.1^{10}}\right](15,000)+15,000 \\ 164, 457.87 + 15, 000 = 179, 457.87 \\ X\left(\ddot{a}_{\overline{{{10}}}|0.10}+\frac{\ddot{a}_{\overline{{{15}}}|0.08}}{1.10^{10}}\right)=179,458 \\ X\biggl(6.759+\frac{9.244}{1.10^{10}}\biggr)=179,458 \\ X = 17,384. \end{align*} </math> {{soacopyright | 2023 }}")
Exercise
ABy Admin
Nov 18'23
Answer
Solution: B
[[math]]
\begin{align*}
\mathrm{PV}_{\mathrm{perp.}}=\left[\frac{1}{0.1}+\frac{\frac{1}{0.08}-\frac{1}{0.1}}{1.1^{10}}\right](15,000)+15,000 \\
164, 457.87 + 15, 000 = 179, 457.87 \\
X\left(\ddot{a}_{\overline{{{10}}}|0.10}+\frac{\ddot{a}_{\overline{{{15}}}|0.08}}{1.10^{10}}\right)=179,458 \\
X\biggl(6.759+\frac{9.244}{1.10^{10}}\biggr)=179,458 \\
X = 17,384.
\end{align*}
[[/math]]
Copyright 2023 . The Society of Actuaries, Schaumburg, Illinois. Reproduced with permission.