The naira has been hitting new lows on the parallel market since July, following central bank actions to try to draw business into the official exchange channels
The naira opened for trade at 409.50 on Wednesday, exchange data showed, near its weakest on record of 410.50 per dollar reached two weeks ago.
The naira has been quoted at 480 naira to the dollar on the black market since last month, against the official rate of 381 naira set in July and backed by the central bank.
The naira, which has been weakening on the over-the-counter spot and derivatives markets, dropped to a low of 403.29 naira on Thursday after reaching record intra-day lows since January.
The central bank did not agree with the need for additional exchange rate adjustment.
The futures market for five-year settlement hit a record low of 613.69 naira per dollar while the futures contract with three weeks to maturity eased to 405.13 per dollar.
Traders had expected the currency to trade flat on the black market on the hopes that higher oil prices will boost Nigeria's foreign exchange supplies.
Oil prices fell on Friday, pressured by fears about a slow recovery in the global economy and fuel demand due to rising coronavirus infections.