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.

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.