One-week forwards traded at 150.10/25 per dollar while spot-next forwards and the spot rupee were hardly traded, dealers said.
"The rupee is under pressure and it will continue to slide if we don't see steady inflows," said one currency dealer.
On Friday, the central bank raised the spot currency reference rate to 150.00, a record low against the dollar.
The banking regulator raised the spot reference rate by a total of 50 cents last week. That followed a 40-cent increase in each of the previous two weeks amid sustained pressure on the currency.
Officials from the central bank were not immediately available for comment.
The bank kept its benchmark interest rates steady on Friday for a fifth straight month as expected, saying credit growth was responding to earlier tightening measures.