Revision as of 22:43, 19 November 2023 by Admin (Created page with "'''Solution: B''' <math display = "block"> \begin{aligned} & 2895.28=R v+R(1.01) v^2+R(1.01)^2 v^3+\ldots+R(1.01)^{29} v^{30}+1000 v^{30} \\ & \implies R\left[\frac{1-\left(\frac{1.01}{1.031}\right)^{30}}{0.031-0.01}\right]+1000 v^{30}=2895.28 \\ & \implies R=113.75\end{aligned} </math> {{soacopyright | 2023 }}")
Exercise
ABy Admin
Nov 19'23
Answer
Solution: B
[[math]]
\begin{aligned} & 2895.28=R v+R(1.01) v^2+R(1.01)^2 v^3+\ldots+R(1.01)^{29} v^{30}+1000 v^{30} \\ & \implies R\left[\frac{1-\left(\frac{1.01}{1.031}\right)^{30}}{0.031-0.01}\right]+1000 v^{30}=2895.28 \\ & \implies R=113.75\end{aligned}
[[/math]]
Copyright 2023 . The Society of Actuaries, Schaumburg, Illinois. Reproduced with permission.