Bias Point Analysis:
Is = 5x10^-17
β = 100
Vτ = 0.026
Ic = Is*exp(Vbe/Vτ) = 1.1531mA
Ib = Ic/β = 11.5313 μΑ
Ιe = Ic + Ib = 1.1643 mA
Vc = Vcc - Ic*Rc = 1.4232 V
Small Signal Analysis:
gm = Ic/Vτ = (1/22.5479) 1/Ω
Rπ = β/gm = 2254.79 Ω
Gain = Vout/Vin = -gm*Rc = -22.1750
(suppose Ro->Inf, so without Early Effect)
Input Impedance:
Rin = Rπ = 2254.79 Ω
Ouput Impledance:
Rout = Rc = 500 Ω
Examples:
Vin = 5 mV ptp then
Vout_max = Vc + gm*Rc*Vin = 1.5341V
Vout_min= Vc - gm*Rc*Vin = 1.3123 V