Show me the steps to solveAn 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:

First birthday:$ $810$Second birthday:$ $810$Third birthday:$ $910$Fourth birthday:$ $910$Fifth birthday:$ $1,010$Sixth birthday:$ $1,010$

After the child$$s sixth birthday, no more payments are made. When the child reaches age $65,$ he or she receives $$210,000.$

If the relevant interest rate is $10$ percent for the first six years and $6$ percent for all subsequent years, what is the value of the policy at the child's $65$th birthday?