I have just retired and I notice in my retirement fund I have a balance of $$2,000,000.$ I am thinking I will probably live another $30$ years $(360$ months$).$ I feel very comfortable that my fund will continue to earn $5\%$ over the remainder of my life. I want to leave a surplus of about $$500,000$ at the end of my life in $30$ years. About how much can I safely withdraw each month and end up with the desired surplus?

$*****$ Show excel work please$****$