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......................................$700

Second birthday..................................$700

Third birthday.....................................$800

Fourth birthday...................................$800

Fifth birthday.....................................$900

Sixth birthday.....................................$900

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 6 percent for all subsequent years, is the policy worth buying?