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 $ 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 $350,000. If the relevant interest rate is 10 percent for the first six years and 7 percent for all subsequent years, is the policy worth buying?