Chapter 6 - Bowers

Carolyn J. McElroy ( (no email) )
Sun, 30 Aug 1998 16:05:41 -0700

Here's a problem I'm stuck on from Chapter 6. It's from an SOA exam. Can someone help with this problem? Thanks!!!

A 25-year mortgage of 100,000 issued to (40) is to be repaid with equal annual payments at the end of each year. A 25-year term insurance has a death benefit which will pay off the mortgage at the end of the year of death including the payment then due.

You are given: i) i = 0.05
ii) 25-year temporary life annuity due on (40) has present value of 14
iii) 25q40 = 0.2 {the prob. that (40) dies in 25 years}

Calculate the net annual premium for this term insurance.

(a) 405 (b) 414 (c) 435 (d) 528 (e) 694

The answer is 435.