68. Future Value and Multiple Cash Flows [LO1] 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: Second birthday: $ 900 $ 900 Third birthday: $1,000 Fourth birthday: $1,000 Fifth birthday: $1,100 Sixth birthday: $1,100 After the child's sixth birthday, no more payments are made. When the child reaches age 65, he or she receives $500,000. If the relevant interest rate is 12 percent for the first six years and 8 percent for all subsequent years, is the policy worth buying?