The owners of Cheers in Town, a neighbourhood restaurant, have plans to purchase a new TV$.$ If they finance the purchase through the store's promotional financing option, they will pay $$97$ at the end of each month for three years, starting with the first month. With the store's promotional financing option, what is the cash price of the TV if the interest rate on the loan is $12\mathrm{.}9\%$ compounded monthly?