You begin saving for your retirement by depositing $$5,000$ per year as ordinary annuity into a fund over the next $40$ years $(40$ payments in total$).$ Assume you leave your funds in this mutual fund throughout your lifetime and it earns $12\%$ per year. Once you retire you expect to live for an additional $30$ years. In retirement you would like to receive an annual annuity due for each these $30$ years.

What payment can you withdrawal every year for your $30$ years of retirement? Assume your money is left in the mutual fund earning $12\%$ per year after you retire. $(6pts)$