The rupee today eased marginally by two paise against the US dollar on Monday in line with other weak Asian currencies amid a weak domestic equity market. At the Interbank Foreign Exchange (Forex) market, the Indian rupee fell by two paise to trade lower at 45.80 a dollar. Forex dealers said dollar's gains against other Asian currencies and foreign capital outflows from the local equity markets, mainly weighed on the Indian rupee's sentiment.