You are given the following survival function:

[[math]] S_{0}(x)=\left(1-\frac{x}{100}\right)^{0.5}, 0 \leq x \leq 100 [[/math]]

Calculate [math]1000 \mu_{25}[/math].

• 6.7
• 10.0
• 13.3
• 16.7
• 20.0

Copyright 2024. The Society of Actuaries, Schaumburg, Illinois. Reproduced with permission.

Answer: A

[math]\mu_{25}=\frac{-s^{\prime}(25)}{s(25)}=\frac{0.5(0.01)(1-0.01 \times 25)^{-0.5}}{(1-0.01 \times 25)^{0.5}}=0.00667[/math]

Copyright 2024 . The Society of Actuaries, Schaumburg, Illinois. Reproduced with permission.