Ratings agency Moody's Investors Service is downgrading the credit ratings for 13 Italian banks three days after cutting the Italian government's bond rating, The Associated Press reported.

The government's lower rating means Moody's believes it is at greater risk of defaulting on its debts and "indicates a similarly increased risk that the government might be unable to provide financial support to its banks in financial distress."

Moody's dropped seven banks by one notch, the other six by two notches. They all remain investment grade.

The downgraded banks are: UniCredit and UniCredit Leasing; Intesa Sanpaolo; Banca Carafirenze; Banca IMI; Banca Monte Parma; Cassa di Risparmio di Parma e Piacenza; Banca Popolare Friuladria; Banca Carige; Credito Emiliano; GE Capital SpA; Cassa Depositi e Prestiti; and Istituto Servizi Mercato Agricolo Alimentare.

Moody's has said fragile market confidence and financial problems in Greece and Spain have increased the risks Italy faces. Moody's also said it's worried about a diminished willingness among overseas investors to buy the Italy's bonds. The new rating for government bonds — Baa2 — is two notches above junk status.