please help, thank you very much

[d1truth]

for a two year select and ultimate mortality you know:

a. q[x] = (1-2k) qx
b. q[x]+1 = (1-k) q(x+1)
c. I[32] = 90
d. I32 = 100
e. I33 = 90
f. I34 = 63

calculate I[32] + 1

 

[tkhunny]

You're going to have to tell me what the "I" function is.

Do you mean "L"?

 

[stapel]

And what do the brackets mean?

Thank you.

Eliz.

 

[tkhunny]

The brackets are no problem. They indicate that the data are in the "select" period.

qx means the mortality rate for a person age x outside the select period
q[x] means the mortality rate for a person age x inside the select period

 

[tkhunny]

OK, I'll assume those are "L"s and you mean to be reporting a Survivorship function.

L₃₃/L₃₂ = 90/100 = 9/10
----- Giving q₃₂ = 1-(9/10) = 1/10
L₃₄/L₃₃ = 63/90 = 7/10
----- Giving q₃₄ = 1-(7/10) = 3/10

This makes

q_[32] = (1-2*k)*(1/10)
q_[32]+1 = (1-k)*(3/10)

p = 1-q

Finally, L_[32]*(p_[32])*(p_[32]+1) = 63

90*(1-q_[32])*(1-q_[32]+1) = 63
90*(1-((1-2*k)*(1/10)))*(1-((1-k)*(3/10))) = 63

I get k = -7, which makes no sense and k = 1/6.

L_[32]+1 = 90*(1-((1-2*k)*(1/10))) = 84
-----
Checking: L_[32]+2 = L₃₄ = 84*(1-((1-k)*(3/10))) = 63
-----