"Bounty" vs. "reward": what sets them apart?

What is similar?

Both "bounty" and "reward" refer to something given in recognition of effort, achievement, or service. They are often used in contexts where someone is being compensated for a deed, and both can serve as motivation for action.

What is different?

"Bounty" usually implies a reward that is often offered by an authority for the capture of criminals, discovery of something valuable, or for fulfilling a specific task; it has a connotation of being official and sometimes large or generous. "Reward" is a more general term that can be used for compensation or recognition in many contexts, both formal and informal, and is not necessarily large or official.

Which one is more common?