You started working at the age of $26$ and thanks to the advice of your finance professor you had religiously invested $$200$ per month into a fund which was earning $8\%$ per year. You are currently $35$ years old, and suddenly retirement at the age of $65$ seems closer than ever. Based on your lifestyle and spouse$$s spending habits you figure that you will probably need an annual income of $$150,000$ per year, starting at age $66$ and continuing until you both turn $85.$ If you can continue earning $8\%$ per year on invested funds before and after retirement, how much money will you have to save at the end of each month, starting at age $35$ and continuing until age $65,$ to reach your retirement goal? Assume that the money you have saved up so far will also be left in the retirement fund.