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 purchaser $($say$,$ the parent$)$ makes the following six payments to the insurance company:

First birthday: $ $840$

Second birthday: $ $840$

Third birthday: $ $940$

Fourth birthday: $ $850$

Fifth birthday: $ $1,040$

Sixth birthday: $ $950$

After the child$$s sixth birthday, no more payments are made. When the child reaches age $65,$ he or she receives $$340,000.$ The relevant interest rate is $10$ percent for the first six years and $7$ percent for all subsequent years. Find the future value of the payments at the child's $65$th birthday.