# Design of an amplifier with emitter degeneration

I'm trying to solve a question that says to find $$\gm\$$ and $$\R_c\$$, considering a gain of 50 using a BC547b transistor. But I can't find a way to calculate these parameters with the information I have. Could someone help me?

The BC547 model:

*PVDB *DATABOOK PHILIPS .MODEL BC547B NPN (BF=530 NE=1.3 ISE=9.72F IKF=80M IS=20F VAF=50V

• BR=10 NC=2 ISC=47P IKR=12M VAR=10
• RB=280 RE=1 RC=40 TR=.3U
• CJE=12P VJE=.48 MJE=0.5 CJC=6P VJC=.7 MJC=.33 TF=.5N)

So, because of that I'm considering Va = 50V, Is = 20e-15 and Beta = 530. Right?

The circuit of this question: