Today is your birthday, and you decide to start saving for your college education. You will begin college on your $18$th birthday and will need $$4,000$ per year at the end of each of the following $4$ years. You will make a deposit $1$ year from today in an account paying $12\%$ annually and continue to make an identical deposit each year up to and including the year you begin college. If a deposit amount of $$2,542\mathrm{.}05$ will allow you to reach your goal, what birthday are you celebrating today?