Last Friday we saw horror headlines from Societe Generale.

Euro zone stocks could plummet up to 50 percent if Greece makes a disorderly exit from the euro zone.

Additionally it was proclaimed bank runs have started in Europe.

A bank run is now happening within the eurozone. So far it has been relatively slow and prolonged, but it is a run nonetheless. And last week, it showed signs of accelerating sharply, in a way which demands an urgent response from policy-makers.

Right now the ECB is pressuring the Euro Zone to come up with deposit guarantee scheme to stop depositors from existing the Euro and various European banks:

Now investors are worried about the contagion effect a Greek exit from the euro zone could have on savers in other countries.

"Preventing bank runs in Italy, Spain and Portugal should be the top priority," said Berenberg Bank economist Holger Schmieding. "Policymakers need to make sure that the potential Greek precedent of a forced conversion of domestic euro deposits into a weak new currency would not spark a run on banks ... elsewhere."

The ECB is pressing the euro zone to set up a fund that would prevent this dangerous ripple effect, a message reinforced by ECB policymaker Joerg Asmussen last week.