Design a discrete common emitter bjt amplifier to have

Question

Problem-

Design a discrete common emitter BJT amplifier to have overall gain of -8 V/V. (Determine value for R₁, R₂, R_C and R_E)

R_sig = 10kΩ, R_L = 2 kΩ, V_CC = 9V,

For calculation, assume β = 100, v_BE.on = 0.7 V, C = ∞, and V_A = ∞.   

1. I_E = ~2mA,

2. Current in the voltage divider is ~ 0.2 mA

3. V_B = ~3V

Please include the AC and DC analysis. For the AC analysis calculate the values of the input resistance (Rin), Output resistance (Rout), open circuit voltage gain (Avo), and overall gain (Gv).