The effect on the economy would be determined by several factors.
- Is there a minimum distance FTL can be utilized? Are we talking feet, miles, light years?
- What is the smallest FTL drive available? Is this a pocket, backpack, vehicle, warehouse, star ship application?
- Can FTL be used on Earth or is it limited to space travel? Of course, answering the first few questions may very well answer this one.
- How difficult to obtain or how expensive is the exotic matter?
- Who controls the technology? The answer to this question will determine what or whose economy is affected.
Answering these questions will give you the answer you are looking for. For instance if FTL can be portable and carried by a person, or located in a room, air travel becomes a thing of the past and a new industry is created, also creating jobs for "jump" operators, manufacturing, testing, R&D etc. If this is a "space only" tech, then FTL creates a new industry there as well, except now you have all of the above on a larger scale. Job creation and industry are one thing, but the ability to transport people and objects across large expanses will afford the opportunity of infusing huge amounts of raw materials and industry into the home world's economy. Basically - huge growth!
Of course, if the exotic matter is difficult to come by or incredibly expensive, FTL travel will become both a luxury and a commodity. Depending on the availability of the same material, FTL travel may not be sustainable as an industry at all. In which case it is ultra expensive and would most likely become a tool of science and immigration, having more of an indirect effect on a local economy.
But then you have to answer who owns and controls the tech because this will be a huge determining factor on how extensive the economy is affected. This could determine, ultimately, where the power resides on the home world and who gets to start new industries, worlds, etc.
Bottom line, regardless of the way you slice it or how you answer these questions, the ramifications on a local economy would be huge in the way of job creation, tech licensing, interstellar ticket and freight sales, and on and on and on.
The only way this negatively impacts the economy is if something goes horribly wrong and the earth is sucked into a black hole.