Officials said Sebi is closely in touch with RBI on the market developments.
The rupee ended marginally higher by two paise at 62.24 against the dollar on Wednesday.
A weak dollar overseas supported the rupee sentiment.
In the forward market, the premium for dollar moved up on fresh paying pressure corporates.
The rupee recovered from initial losses against the US dollar and was quoted barely steady at 61.91 on selling of the American currency by banks and exporters on good foreign capital inflows.
The rupee on Tuesday gained 29 paise to close at seven-month high of 60.48 against the dollar on sustained selling of the US currency by exporters and banks.
'When the gold price rises rapidly, India's physical gold market remains on standby.'
Dealers attributed the rupee's fall to increased demand for the US currency from importers.
The rupee recovered from initial losses against the American currency and was quoted higher by 6 paise to 62.00 on fresh selling of dollars by banks and exporters in view of strong foreign capital inflows into equity market.
Although the current long-term bullish trend is intact, markets are awaiting clarity on the taper and the Assembly election results.
The rupee extended its losses and slumped 60 paise to close at a record low of 77.50 (provisional) against the US dollar on Monday, pressured by the strength of the American currency overseas and unabated foreign fund outflows. Forex traders said risk appetite has weakened amid mounting concerns about inflation that may trigger more aggressive rate hikes by global central banks. At the interbank foreign exchange market, the rupee opened lower at 77.17 against the greenback, and finally settled for the day at 77.50, down 60 paise over its previous close.
The rupee resumed lower at 63.65 per dollar as against previous closing of 63.58 at the Interbank Foreign Exchange (Forex) market.
Even the persistent rise in equity market failed to restrict the rupee's fall.
After a a steep fall last week, the rupee has closed slightly stronger against the dollar.
The rupee had dropped 15 paise or 0.22 per cent yesterday.
Gold prices rebounded by Rs 190 to Rs 31,000 per ten grams in the national capital today on pick up in festive season demand.
The rupee continued to slide against the pound sterling and finished at 102.64 as against 102.25 previously.
Silver also rose sharply by Rs 640 to Rs 35,700 per kg.
Heavy dollar selling by banks and exporters alongside debt-related inflows largely supported the rupee
A weak dollar sentiment across the board alongside unwinding of long positions by speculative traders ahead of key US macro data release largely supported the rupee
India's economic image is not affected due to Adani Group's recent decision to pull out Rs 20,000 crore FPO (follow-on public offers) amid allegations of financial wrongdoings, Finance Minister Nirmala Sitharaman said on Saturday.
Given the stability of the rupee over the last 10 months, many companies have been tempted not to hedge their foreign currency risk.
Weakness in dollar in the overseas market also boosted the rupee value
Forex dealers will keenly watch, instead, if the central bank indicates more measures to stabilise the currency or gives a timeframe for its current action.
The rupee ended marginally lower by three paise at 66.36 against the US dollar.
The rupee on Friday snapped its two-day gaining streak against the US dollar.
Silver regained the Rs 35,000 per kg mark by gaining Rs 660.
In order to contain Current Account Deficit and arrest value of declining rupee, the RBI last month had raised the cost of borrowing for banks and reduced availability of funds to curb speculation in the forex market.
This is the biggest one-day fall in the rupee since August 3, 2016
Bucking a strong trend in share market, the Indian rupee on Monday gave up all its initial gains and slipped 18 paise to close at 61.94 against the Greenback on rising dollar demand from importers.
Unwinding of long-dollar positions by speculative traders and the currency's strong underlying fundamentals buoyed the home unit
The rupee weakened even as the dollar fell against major global currencies
After three sessions of weakness, the rupee strengthened by 50 paise against the dollar.
Further outperformance hinges on pickup in industrial activity, buying by local investors.
Going ahead iGate will have to maintain a healthy order book to sustain growth.
After a day's respite, the rupee on Wednesday fell by 29 paise, its biggest single day fall in a week, to end at 56.73 today due to heavy dollar demand from importers amid renewed concerns over withdrawal of US monetary stimulus.
Planning Commission deputy chairperson Montek Singh Ahluwalia talks about reorganising central loans to the states, in the second of a two-part interview with Mamata Singh.
In its first bi-monthly policy, the RBI, in order to enhance hedging facilities for foreign investors in debt instruments, proposed to allow them to hedge the coupon receipts falling due during the next 12 months.
Nifty continued to register successive new highs as it crossed the 9,200 mark on Friday
Frantic dollar demand from corporates along with an aggressive hedging strategy adopted by importers in the wake of the currency volatility predominately took a toll on the domestic unit despite moves by the central bank to stabilise the currency.