Your oldest daughter is about to start kindergarten in a private school. Tuition is $$20,000$ per year, payable at the beginning of the school year. You expect to keep your daughter in private school through high school. You expect tuition to increase at a rate of $3\%$ per year over the $13$ years of her schooling. What is the present value of your tuition payments if the interest rate is $3\%$ per year? How much would you need to have in the bank now to fund all $13$ years of tuition?

The present value is $$.($Round to the nearest dollar.$)$