You are working as a financial planner. A couple has asked you to put together an investment plan for the education of their daughter. She is a bright $7$year$-$old $($her birthday is today$)$and everyone hopes she will go to university after high school in $10$years$,$ on her $17$th birthday. You estimate that today the cost of a year of university is $$18,000$including the cost of tuition, books, accommodation, food and clothing. You forecast that the annual inflation will be $5\mathrm{.}7\%.$You may assume that these costs are incurred at the start of each university year. A typical university program lasts $4$years$.$ The effective annual interest rate is $6\mathrm{.}8\%$and is nominal.

Suppose the couple invests money on her birthday, starting today and ending $1$year before she starts university. How much must they invest each year to have money to send their daughter to university? Do not rounded intermediate calculation $.$Round answer to two decimal places.