Survival models : complete expectation of a life

Why is $\displaystyle e_0^o \neq 21 + e_{21}^o$ ?

$\displaystyle e_x^o$ is complete expectation of life at age $\displaystyle x$

Using ELT15 (males) mortality table

$\displaystyle e_0^o = 73.413$ and $\displaystyle e_{21}^o = 53.497$

but I'm unable to conclude on that equation. (Worried)

Re: Survival models : complete expectation of a life

Because the life aged 0 is not guaranteed to reach age 21.

if you dont see the significance of this, consider what your intuition says about $\displaystyle e_{75}^0$ .

PS: this is not a specialist actuarial forum, try defining your terms in your posts.