You are planning to save for retirement over the next $30$ years. To do this, you will invest $$1,300$ a month in a stock account and $$1,000$ a month in a bond account. The return of the stock account is expected to be $10$ percent, and the bond account will pay $5$ percent. When you retire, you will combine your money into an account with a return of $8$ percent.

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