Imagine getting a bill for $$125$ billion that you did not know you owed! The case involves a real$-$world situation. That happened to the residents, called $$burghers$,$ of Ticino, Switzerland. The New York Supreme Court in Brooklyn, New York, ordered Ticino to pay a group of American investors. The investors had sued in the Brooklyn court over a loss they claimed concerning the failure $27$ years earlier of InterChange Bank, a tiny bank in Ticino. The burghers had known about the suit but thought the matter was trivial and were naturally stunned by the bill. Their lead lawyer quipped that $$if the judgment were upheld by the higher courts, all of Ticino$$s citizens would have to spend the rest of their lives flipping real burgers $($the kind you eat$)$ at McDonald$$s and Burger King to pay off the debt.$$

The root of Ticino$$s problem was a deposit made $28$ years ago, one year before the bank failed. The estate of one Sterling Granville Higgins deposited $$600$ million of options on Venezuelan oil and mineral deposits in the InterChange Bank. The bank agreed to pay an interest rate of $1\%$ per week. $($No wonder the bank failed the next year!$)$ The Brooklyn court ruled that Ticino had to pay $1\%$ interest per week compounded weekly for the seven years between the date of deposit and the date Ticino had the bank liquidated and interest at the

$6.$ Suppose Ticino decides to pay the amount owed by making $30$ annual payments at $8\mathrm{.}54\%$ APY. What is the amount of the annual payment if the first payment begins three months after the date the amount is owed?