The rupee trades at 61.87/88 compared with Monday's close of 61.83/84.
The Nifty is down 0.4 percent.
Asian currencies mixed vs dollar.
Traders say current account data largely in line with expectations.
Index of the dollar against six majors now down 0.1 percent, limits further gains in the pair.
The rupee is seen in 61.70 to 62.20 range during the week.
(Reporting by Swati Bhat)
