Depends what cog, hub, chain and crankset, - there are a lot of choices/prices. I don't think it will be a whole lot less than the derailleur model because (rather like the Birdy) you are paying a premium for the frame and folding technology, and, a fixed will be more likely to be produced in smaller numbers...

If the fixed Tikit gets specced the way I want it, it will probably be more than $1200.