Looking back at the first trading day in June over recent years shows some big moves in both directions. It tells me that Monday may not be a quiet day.
These are Dow points...
2012: -275
2011: -279
2010: -112
2009: +221
2008: -135
These are Dow points...
2012: -275
2011: -279
2010: -112
2009: +221
2008: -135