French and German borrowing rates reached new all-time lows on Tuesday amid fears over the prospect of Greece leaving the eurozone.

 As of 0830 GMT, France's 10-year debt hit 0.772 percent on the secondary market, while the German 10-year Bund fell to 0.484 percent.

"Factors causing the recent risk-off mode are unlikely to fade rapidly," BNP Paribas analysts said in a note.

"Greece and the question of QE (stimulus) are keeping bond markets nervous," it said, adding that the anxiety is likely to persist through January.