Is this question wrong? possible to calculate gain without beta or Ic given?
What &quot;could be&quot; the max collector current? Ic = 2.5V /50k = 50 uA
What is Vbe if Ic = 1mA ?   (Answer  ~ = 600mV)

you should try to remember this and confirm on your own in any datasheets.

What is this Vbe?  800 mV
So the collector is not longer an ideal (infinite impedance) current sink and is now a saturated switch.
Whenever an analog output is saturated, you no longer have any gain.  ( you might see an attenuated asymmetric wiggle here with some 100mVpp input on 800mV)
So what is the voltage gain here? &quot;none&quot;
What is the current gain? (none)
there's actually a loss here if Vbe = 800 mV drives maybe 100mA to &gt; 1A while Ic = 50 uA  in making a switch and you need to put in 10x base current to achieve &quot;rated&quot; Vce(Sat)
So you would never use this circuit as shown.