The rupee had gained 11 paise to end at one-week high of 54.84 against the US dollar in Wednesday's trade on sustained selling of the US dollar by exporters and capital inflows.
In New York market, the US dollar pared losses on Wednesday amid reports that cut into optimism that Washington lawmakers are close to a deal to avoid going over the fiscal cliff.
The rupee commenced higher at 55.07 a dollar at the Interbank Foreign Exchange market from last Friday's close of 55.16.
Dollar index was seen trading in a thin range ahead of unemployment claims and Fed Chairman Bernanke speech later on Thursday.
Fresh month-end dollar demand from importers, mainly oil companies, affected the rupee's value against the dollar, a forex dealer said.
The rupee on Tuesday again breached the 56-level by falling 12 paise to 56.05 against the US dollar in early trade on the Interbank Foreign Exchange on increased demand for the American currency from banks and importers.
Forex dealers said besides dollar's gains in the overseas markets, a weak opening in the stock market following capital ouflows, also put pressure on the local unit.
The ICE dollar index, which measures the dollar against a basket of six currencies, traded at 79.522 from 79.595 in the previous session.
A sharp fall in dollar overseas, triggered by US Fed's overnight announcement of a fresh round of quantitative easing, and sustained capital inflows into stock markets helped rupee stay in green all through the session.
In New York market, the US dollar fell against the euro on Wednesday pushing the shared currency to its highest level in more than two months, after European Central Bank President Mario Draghi said the ECB is prepared to buy sovereign bonds of countries.
The rupee had lost 13 paise to close at 55.66 on Tuesday because of fag-end dollar demand from importers.
The rupee had ended marginally down by 1 paise at 55.63 against the dollar on alternate bouts of buying and selling amid a fag-end recovery in equities in yesterday's session.
Selling of dollars by exporters helped the Indian currency appreciate.
In addition, dollar's weakness against other currencies overseas also supported the rupee.
The rupee on Wednesday declined by 16 paise to close at its fresh lifetime low of 77.60 against the US dollar amid unabated foreign fund outflows and a stronger greenback in overseas markets. At the interbank foreign exchange market, the rupee opened lower at 77.57 and later hit the day's low of 77.61 as the dollar rebounded in global markets following hawkish comments from US Federal Reserve chief Jerome Powell. Crude oil prices also surged over 1 per cent, which weighed on the rupee.
The domestic currency had ended 12 paise lower at Rs 55.80 against the dollar in Thursday's trade on fresh dollar demand from banks and importers amid a rise in May inflation.
The rupee had ended higher by 12 paise at 55.68 against the dollar in the previous session on fag-end selling of dollars by banks and exporters amid euro gaining strength overseas.
Weakening of the dollar against other currencies overseas, following disappointing economic data and a higher opening in the domestic equity market, supported the rupee.
The fall would have been much more pronounced, had there not been sustained capital inflows worth of over $100 million in equities, forex dealers said.
The US dollar bought 99.40 yen in Asian trade, compared with 99.21 in North American trade late on Monday.
The rupee resumed lower at 54.73 per dollar as against the last closing level of 54.69 on the Interbank Foreign Exchange Market.
The rupee's upward movement was aided by a good dose of dollar selling by exporters and some banks, amid a weak dollar overseas, said forex dealers.
While the rupee snapped a four-session downslide, it rupee could not cement intra-day gains as RBI kept short-term lending (repo) and cash reserve ratio unchanged, forex dealers said.
It moved in a range of 54.87 and 55.02 per dollar during the morning deals.
The rupee lost 37 paise to end at 62.60 against the dollar on Tuesday following demand for the US currency and a fall in local equities on further rate hike concerns.
Forex dealers said continued capital inflows and euro's gains against the dollar overseas on hopes that the European Central Bank may take action soon to ease the continent's debt crisis, kept the rupee's sentiment firm.
Forex dealers said rupee was under pressure throughout the session as dollar gained against rivals on hopes that European Central Bank will cut its main interest rate to a record low in a bid to support the region's economic growth.
This is the first time since June 27 that the domestic currency has fallen below the 60 level.
Besides, dollar's weakness against some Asian currencies supported the local unit, forex dealers said.
Crude oil prices rose in Asian trade on Friday after a brief dip as dealers digested upbeat US economic data and comments from a Federal Reserve official that its stimulus programme will not end soon, analysts said.
The rupee had lost 21 paise to end at new 10-month low of 56.38 against the dollar on Thursday on fag-end spurt in dollar demand after RBI Governor D Subbarao painted a dim macroeconomic picture.
The rupee depreciated 22 paise to a record low of 78.59 against the US dollar in opening trade on Tuesday as persistent foreign funds outflows weighed on investor sentiments. At the interbank foreign exchange, the rupee opened on a weak note at 78.53 against the American dollar, then lost ground to quote at 78.59 -- its all-time low level, registering a fall of 22 paise from the last close. On Monday, the rupee declined by 4 paise to close at its life-time low of 78.37 against the US dollar.
Forex dealers said besides dollar's gain against other currencies overseas, fresh demand for the American currency from importers put pressure on the rupee.
On a weekly basis, the rupee fell by 1.36 per cent or 75 paise as dollar demand outweighed supply and stocks fell.
Even as rupee fell below 56-level against dollar intra-day, Chief Economic Adviser in the Finance Ministry Raghuram Rajan said, there is no need to panic, and RBI takes decisions on whether to intervene in forex markets or not to stabilise the local currency.
This is rupee's lowest closing since 55.45 on November 27, 2012.
The Indian rupee continued to rule firm in the late morning session by improving five paise to 53.11 per dollar on selling of dollars by banks in view of persistent foreign capital inflows.
The dollar index was up by 0.04 per cent against a basket of six major global rivals.
The rupee commenced stable at its last closing level of 53.96 at the Interbank Foreign Exchange market.
Rupee fell to 45.03 in the Interbank Foreign Exchange Market against the dollar in morning trade today on worries of capital outflows which may increase because of equity sales by foreign investors.