The rupee is trading at 61.89/90 compared with Monday's close of 61.83/84
Asian currencies are trading mixed vs dollar.
Nifty is down 0.1% in early trade.
Traders say current account data was largely in line with expectations.
Index of the dollar against six majors is up 0.2%
However, foreign institutional investors have bought debt worth $1.3 billion so far in Dec.
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Continued inflows will prevent sharp gains in the USD/INR pair.
The rupee is seen in 61.70 to 62.20 range during the week.