For now bitcoin doesn't influence the world economy at all but i'm 100% sure big financial players are aware of bitcoin's presence. And when they decide to step in and play a new game it will change bitcoin and it may also benefit us. Bitcoin can also be influencing when it spreads a lot and more people will get aware about it , it will affect the world economy
It influenced the world economy since it is a multi billion coin that is now used by big investors and many online transaction. It was created and designed to be used by every people in banking online, and making a transaction online. Hence, once its market go down, it'll make a huge impact specially for a huge investors, making an impact in world economy.