As the euro moved ever closer toward parity on Tuesday, one big Wall Street bank warned that investors may be underestimating the firepower of the bloc’s central bank.

Pressure resumed on the common currency EURUSD that touched as low as $1.0004 to bring its losses so far this week to 1.8%. Last Friday’s strong U.S. jobs data that all but cemented another Federal Reserve three-quarters of a percentage point rate hike has been driving up the dollar, weighing on rival currencies, notably the euro.

The…