Q6) 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: After the child's 6 th birthday, no more payments are made. When the child reaches age 65 , he or she receives $900,000. If the relevant interest rate is 12% for the first six years and 8% for all subsequent years, how much is the future value of the payments made by the purchaser? Is the policy worth buying? (10 points)