Future value and multiple cash flows

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 purchase says the parent makes the following six payment to insurance company.

First birthday 800

Second Birthday 800

Third Birthday 800

Fourth Birthday 900

Fifth Birthday 1000

Sixth Birthday 1000

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 rates is 10% for the first six years and 5.75% for all subsequent years, is the policy worth buying?