Kelly and Brian Johnson are a recently married couple whose parents advised them to start saving immediately in order to have enough money down the road to pay for their retirement and their children's college expenses. Today (t = 0) is their 25^th birthday (the couple shares the same birthday).The couple plan to have two children (Dick and Jane). Dick is expected to enter college 20 years from now (t = 20); Jane is expected to enter college 22 years from now (t = 22). So in years t =22 and t = 23 there will be two children in college. Each child will take 4 years to complete college, and college costs are paid at the beginning of each year of college.College costs per child will be as follows:

	Year	Cost per child	Children in college
	20	$58,045	Dick
	21	62,108	Dick
	22	66,456	Dick and Jane
	23	71,108	Dick and Jane
	24	76,086	Jane
	25	81,411	Jane

Kelly and Brian plan to retire 40 years from now at age 65 (at t = 40). They plan to contribute $12,000 per year at the end of each year for the next 40 years into an investment account that earns 10% per year. This account will be used to pay for the college costs, and also to provide a nest egg for Kelly and Brian's retirement at age 65. How big will Kelly and Brian's nest egg (the balance of the investment account) be when they retire at age 65 (t = 40)?