Revision as of 01:50, 16 January 2024 by Admin (Created page with "You are given the following survival function: <math display="block"> S_{0}(x)=\left(1-\frac{x}{100}\right)^{0.5}, 0 \leq x \leq 100 </math> Calculate <math>1000 \mu_{25}</math>. <ul class="mw-excansopts"><li> 6.7</li><li> 10.0</li><li> 13.3</li><li> 16.7</li><li> 20.0</li></ul>")
ABy Admin
Jan 16'24
Exercise
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
ABy Admin
Jan 16'24
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.
Copyright 2024. The Society of Actuaries, Schaumburg, Illinois. Reproduced with permission.
Copyright 2024. The Society of Actuaries, Schaumburg, Illinois. Reproduced with permission.
Copyright 2024. The Society of Actuaries, Schaumburg, Illinois. Reproduced with permission.