You have a loan outstanding. It requires making nine annual payments of $$$$4000$ each at the end of the next nine years. Your bank has offered to allow you to skip making the next eight payments in lieu of making one large payment at the end of the$$ loan's term in nine years. If the interest rate on the loan is $5\%,$ what final payment will the bank require you to make so that it is indifferent to the two forms of$$ payment?

Question content area bottom

Part $1$

The final payment the bank will require you to make is $$$

$$

enter your response here. $($Round to the nearest$$ cent.$)$