You have $2$ years left in grad school. Tuition is $$30,695$ per year, due at the end of each school year, and the next payment is due a year from today. If you are looking to immunize against future tuition payment using a single issue of a zero coupon bond, then how much should you invest in it$?$ Assume a flat yield curve of $6\mathrm{.}3\%.$

Assume annual compounding. Round your answer to $2$ decimal places.