This is a challenge problem. A well-known insurance company offers a poli Sy known as the 'estate creator six pay'. 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: 1 st birthday $ 730 4th birthday $855 2nd birthday $730 5th birthday $855 3rd birthday $ 730 6th birthday $855 her the child's 6th birthday, no more payments are made. When the child reaches age 65, he or she receives $143,723. If the ,relevant interest rate is 6 per cent for the first 6 years and 7 per cent for all subsequent years, is the policy worth buying?