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 childs 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 childs 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 10 percent for the first six years and 5.75 percent for all subsequent years, is the policy worth buying? Explain and show your work.