our oldest daughter is about to start kindergarten in a private school. Tuition is $ $30$ comma $000$ per$$ year, payable at the beginning of the school year. You expect to keep your daughter in private school through high school. You expect tuition to increase at a rate of $5\%$ per year over the $13$ years of her schooling. What is the present value of your tuition payments if the interest rate is $5\%$ per$$ year? How much would you need to have in the bank now to fund all $13$ years of$$ tuition?