In order to be able to buy the new machine, you take a loan of $3$ million from the bank, which you want to pay back in $8$ years. Your payments are always made at the end of every year. The annual interest rate is $6\%.$

What is the annual payment you must make to the bank?

between $430,000$ and $450,000$

between $450,000$ and $470,000$

between $410,000$ and $430,000$

between $470,000$ and $490,000$

between $490,000$ and $510,000$