The rupee edged 3 paise lower to hit its all-time low of 83.41 against the U.S. dollar in early trade on December 5, tracking higher demand for the American currency from importers.
Forex traders said investors are awaiting cues from the Reserve Bank of India's monetary policy outcome.
The Monetary Policy Committee of the central bank will begin its bi-monthly review meeting on Wednesday and announce the decision on Friday.