Robert Kiyosaki, author of Rich Dad Poor Dad, states it is basically impossible to know how much you need to save for retirement. Instead he asserts, $$If you change your definition of nest egg to mean a pile of cashflowing assets, rather than cash, your problem is solved.$$ He recommends rather than selling your start$-$up home, rent it out instead. If you are able to rent your start$-$up home for $$2,400$ per month and invest this amount annually in an ordinary annuity for $30$ years at $6\%$ interest annually, how much will you have?

Note: Do not round intermediate calculations. Round your answer to the nearest cent.