175. A deferred endowment insurance provides the following benefits:

A payment of 1 at the moment of death if death occurs between

t= 5 and t= 12;

A payment of 2 if the insured survives 12 years.

No benefit is paid if death occurs before t= 5. You are given that

x+t={0.05t80.10

t>8

= 0.10

Calculate the expected present value of this endowment.

Answer:

0.4106