FPI inflows have also resumed and should put an end to the $24.6 billion intervention by RBI
The domestic unit on Wednesday gained 27 paise to settle at 72.12 in line with a recovery in domestic equities.
The domestic unit on Thursday gained 28 paise to settle at 71.84 as investor sentiment revived after China and the United States said they will resume trade talks.
The domestic unit continued its winning momentum for a third session in a row on Friday, rising 12 paise to settle at 71.72.
The domestic unit on Friday appreciated by 38 paise to close at a two-week high of 71.42 on Friday led by a rally in domestic equities and renewed hopes of the US-China trade talks.
The currency settled at 72.02 to the US dollar, the lowest closing level since November 14, 2018, even as equities spurted more than 700 points at close on stimulus measures.
On Wednesday, the domestic currency rebounded from a six-month low to end at 71.27, up 13 paise.
On Friday, it had dived 54 paise to close at an over six-week low of 69.60 as soaring crude oil prices and a fresh flare up in US-China trade tensions weighed on emerging market currencies.
The record rally in domestic equities too helped the rupee
The RBI, meanwhile, fixed the reference rate for the dollar at 63.7375
The domestic unit on Friday marched higher for the seventh straight session to close at 70.92, up 22 paise.
The domestic unit on Monday recovered from day's low levels to close flat at 70.94 helped by foreign fund inflows into equities and lower global crude oil prices.
The domestic unit on Tuesday weakened by another 18 paise to settle at 71.78 against the US dollar as investors fretted over higher crude oil prices.
The domestic unit on Thursday strengthened by 16 paise to close at 70.88.
The domestic unit on Monday depreciated by 14 paise to close at 71.02 as profit booking in domestic equities and unabated foreign fund outflows kept investors edgy.
The domestic unit on Wednesday pared most of its initial losses and settled the day marginally down by 5 paise to 71.07.
The domestic currency on Friday closed almost flat at 71.14 per US dollar amid hardening crude oil prices and lacklustre global cues.
Extreme caution continued to grip forex market sentiment
The US Federal Reserve is expected to hike rates on Wednesday and the dollar has weakened marginally
The domestic unit on Monday plunged 68 paise to 71.60 against the US dollar amid concerns over soaring crude prices following drone attacks on Saudi Arabia's oil facilities.