Yes, you are right.So, can I say that my Vi is either the voltage drop across Re or across hie, is this correct?
It may sound strange but this is wrong why? Well let as exam the simplest example:If this is correct isn't Vi = ib*(hfe + 1)*Re or Vi = -hie*ib???
I assumed Vin = 1V ; Re = 1kΩ ; hie = 1kΩ ; Rc = 1kΩ and β = 100.
I hope that now you see that the current through Re resistor is equal to IRe = Vin/Re =1V/1k = 1mA and also Ib = -Vin/hie = -1V/1k = -1mA.
Also notice that Iin = IRe + (Ib + Ic) = IRe + (β+1)*Ib. If you do not see it, well you are in big trouble.
But can you solve for Vout ?