How much control over the Fed does the President actually have after the appointment?
None in principle. Generally though the President has "moral suasion" and can use it. Nixon very succesfully lobbied Arthur Burns to keep rates low.
Volcker btw was a top pick.
OK, what's a WIN button?
Boy do I feel old. WIN was Ford's program to "Whip Inflation Now." You could send off for a little lapel button to show you were against inflation. I wish I had done that. Cant imagine what they are worth now.
Of course if he had wanted to reduce inflation he could have raised interest rates, reduced taxes, lessened government regulation. Sort of like another president did.