According to a newspaper article, economists are predicting that the average interest rate for a $30-$year mortgage will increase from $9\mathrm{.}8\%$ to $10\%$ during the next year and home prices will decline by $3\%$ during that same period. A family is considering purchasing a $$350,000$ home. They intend to make a $10\%$ down payment and finance the rest of the cost. What will their monthly payment be if they buy the house now? Assuming the economists are correct, what will their monthly payment be if they buy a comparable house in one year?

If the family buys the house now, the monthly payment will be $$

$($Do not round until the final answer. Then round to the nearest cent as needed $)$