Physical Danger
There's not a lot of physical danger in the world of economics. It's mainly a desk job, so you only have to worry about the usual hazards that come with that territory; carpal tunnel, eye strain, neck and shoulder problems from staring at a computer monitor that hasn't been placed at an ergonomically ideal height.
Other than that, you might nod off to sleep while entering data and hit your head on the desk. Wear a helmet and you should be fine.