Search for ' bandwidth of common emitter amplifier'. Something like
https://www.learnabout-electronics.org/Amplifiers/amplifiers14.php might be helpful.
There are plenty of explanations of common emitter amplifiers on the internet.
While you original question is valid, it makes some assumptions about the design such as the operating point, the basing method and lack of emitter resistor. Designing an amplifier will normally be based on requirements such as bandwidth, current, gain, voltage swing, gain stability, input and output impedance etc. From those requirements the appropriate design is chosen and the operating point and number of gain stages selected.
Keith