2.) 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 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 child's sixth birthday, no more payments are made. When the child reaches age 65, he or she receives $350,000. The relevant interest rate is 10 percent for the first six years and 7 percent for all subsequent years. Calculate the future value of the payments at the child's 65th birthday. (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.)