Aaron has $$500,000$ invested in a tax$-$free savings account $($TFSA$)$ earning $2\%$ a year. He would like to know whether he could retire now and reach his retirement spending target of $$50,000$ a year for the next $30$ years. $($To answer Aaron's inquiry, you need to calculate how much he would receive from his TFSA annually for the next $30$ years.$)$ What is the required annual rate of return on a new portfolio that would enable Aaron to retire now and reach his retirement spending target of $$50,000$ a year for the next $30$ years?