 "Rupee range-bound; FIIs continue to buy shares, debt")
The rupee slipped to 60.4425/4450 from its previous close of 60.4335/4450.
The USD/INR pair is stuck in a narrow range as dollar gained offset by foreign buying.
Dollar index is still near 13-month high.
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But rupee is supported as FIIs bought a net $105 million of debt on Monday and $60.4 million (provisionally) in shares on Tuesday.
The Nifty gained, nearing record highs.