Revision as of 22:42, 19 November 2023 by Admin (Created page with "'''Solution: B''' <math display = "block">\begin{aligned} & 600(1+i)^n=1000 \\ & (1+i)^n=\frac{10}{6} \\ & v^n=0.6 \\ & 600=F \frac{i}{2} a_{\overline{n}|i}+F v^n \\ & 600=F\left[\frac{i}{2} \frac{1-v^n}{i}+v^n\right] \\ & 600=F\left[\frac{1}{2}(1-0.6)+0.6\right] \\ & F=750\end{aligned}</math> {{soacopyright | 2023 }}")
Exercise
ABy Admin
Nov 19'23
Answer
Solution: B
[[math]]\begin{aligned} & 600(1+i)^n=1000 \\ & (1+i)^n=\frac{10}{6} \\ & v^n=0.6 \\ & 600=F \frac{i}{2} a_{\overline{n}|i}+F v^n \\ & 600=F\left[\frac{i}{2} \frac{1-v^n}{i}+v^n\right] \\ & 600=F\left[\frac{1}{2}(1-0.6)+0.6\right] \\ & F=750\end{aligned}[[/math]]
Copyright 2023 . The Society of Actuaries, Schaumburg, Illinois. Reproduced with permission.