An ordinary annuity that earns $6\mathrm{.}22\%$ compounded monthly has a current balance of $$500,000.$ The owner of the account is about to retire and must decide how much to withdraw from the account each month. Find the number of withdrawals under each of the following options.

A$)$ He can withdraw $$5000$ monthly for $$ months.

B$)$ He can withdraw $$4000$ monthly for $$ months.

$$ How long can he make monthly withdrawals of $$2000?$

He can never withdraw $$2000$ a month

$294$ months

He can withdraw $$2000$ forever