An insurance company is offering

a new policy to its customers. Typically, the policy is bought by a parent or

grandparent for a child at the child's birth. The details of the policy are as

follows: The purchaser (say, the parent) makes the following six payments

to the insurance company:

First birthday: $ 800

Second birthday: $ 800

Third birthday: $ 900

Fourth birthday: $ 900

Fifth birthday: $1,000

Sixth birthday: $1,000

After the child's sixth birthday, no more payments are made. When the child

reaches age 65, he or she receives $150,000. If the relevant interest rate is

9 percent for the first six years and 5.5 percent for all subsequent years, is

the policy worth buying?