ITA matrix is showing the same fare ($990) on brisish airways! American! or Finnair for the last week if March. Those are all direct (non-stop) flights at good times. The Baa website "low fare finder" also shows that price.
On ITA you have to use the low fare calendar to find that price. If you just put in the same dates into the regular search, it comes up at $1144. So you may need special codes to get the lower fare.
http://matrix.itasoftware.com/view/details?session=bcd2f524-bbac-4800-8a34-aeda0b437c3c
On another thread in the Transportation section there is a link to a WSJ study on lowest airfares. For international travel, there is an impressive graph showing that fares stay pretty constant between 10 months and five months out. At five months, fares begin to rise steeply. This comports with my own experience in tracking BA fares, which I did two years ago out of curiosity.
Late March is five months from now. If it were I traveling, I would book that fare now, as it seems very good for a direct flight at convenient times.
It is possible that lower fares will show up later, but my experience has been that these are for less desirable flights with stops on the way, taking extra time and causing extra travel fatigue. Not worth it, especially for a short one-week trip.