You are planning to save for retirement over the next $20$ years. To do this, you will invest $$1,400$ a month in a stock account and $$1,100$ a month in a bond account. The return of the stock account is expected to be $12$ percent, and the bond account will pay $7$ percent. When you retire, you will combine your money into an account with a return of $9$ percent.

How much can you withdraw each month from your account assuming a $15-$year withdrawal period?