You are planning to save for retirement over the next $20$ years. To do this, you will invest $$500$ a month in a stock account and $$200$ a month in a bond account. The return of the stock account is expected to be $8$ percent, and the bond account will pay $5$ percent. When you retire, you will combine your money into an account with a return of $7$ percent.

How much can you withdraw each month from your account assuming a $20-$year withdrawal period?