Revision as of 03:31, 18 January 2024 by Admin (Created page with "You are given: (i) <math>\quad A_{35: 15}=0.39</math> (ii) <math>\quad A_{35: 15}^{1} 0.25</math> (iii) <math>\quad A_{35}=0.32</math> Calculate <math>A_{50}</math>. <ul class="mw-excansopts"><li> 0.35</li><li> 0.40</li><li> 0.45</li><li> 0.50</li><li> 0.55</li></ul> {{soacopyright|2024}}")
Jan 18'24
Exercise
You are given:
(i) [math]\quad A_{35: 15}=0.39[/math]
(ii) [math]\quad A_{35: 15}^{1} 0.25[/math]
(iii) [math]\quad A_{35}=0.32[/math]
Calculate [math]A_{50}[/math].
- 0.35
- 0.40
- 0.45
- 0.50
- 0.55
Copyright 2024. The Society of Actuaries, Schaumburg, Illinois. Reproduced with permission.
Jan 18'24
Answer: D
[[math]]
\begin{aligned}
A_{35}=A_{35: 15}^{1} & +A_{35: 15} \frac{1}{15} A_{50} \\
0.32 & =0.25+0.14 A_{50} \\
A_{50} & =\frac{0.07}{0.14}=0.50
\end{aligned}
[[/math]]
Copyright 2024. The Society of Actuaries, Schaumburg, Illinois. Reproduced with permission.