Clayton is a five-year-old boy (i.e., age 5) and he will go to college at age 18 (i.e., at time=13). Annual tuition at his dream college will be $50,000. Assume that Clayton will spend four years in college and that the interest rate will remain at 7% in the future. You will pay the tuition at the beginning of each college year (i.e., the first tuition is due in 13 years at time=13, and so on). What is the present value of four years of college tuitions evaluated today (i.e., at time=0)? Please show work!