Exam LC - variance of endowment insurance

Hi All,



I have a question about the the variance of endowment insurance.



Suppose Z is the PV of a endowment insurance, what is Var(Z)?

I was trying to do this way:

Var(Z)=E(Z^2)-(E(Z))^2



Since PV(endowment)=PV(term)+PV(pure endowment),

is the following correct?

2nd moment of endowment = 2nd moment of term + 2nd moment of pure endowment



Thanks in advance!

Exam LC - variance of endowment insurance