The rupee traded at over one-month low as global risk aversion pulled down local stocks further.
The rupee/dollar pair was at 54.48/49 versus its previous close of 54.0750/0850.
Local shares are down 0.95 per cent, headed towards their biggest daily percentage fall in two months.
"There was some USD buying before the daily RBI reference setting," says a dealer.
The euro hit a six-week low against the dollar on Thursday, a day after minutes of the Federal Reserve's last policy meeting showed some policymakers thought the Fed may have to slow or stop buying bonds before seeing a pick-up in employment.