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Question - The Endeavour insurance company issues life annuities. It prices its annuities using the following probabilities.
Survival probabilities Year Probability of surviving from start of year to end of year
1 0.88
2 0.74
3 0.46
4 0
The annuities pay $60 000 at the end of each year while the policyholder is alive. Endeavour insurance believes it can earn 4% p.a. interest on investments. It also has to provide for initial expenses of $50 at the date of issue.
Required - What is a new policyholder's probability of dying in Year 3?
a. 0.3516
b. 0.6512
c. 0.3488
d. 0.2288
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