NEW YORK (MarketWatch) -- The dollar strengthened against major counterparts early on Thursday, rebounding mostly against the yen, after plunging to a 13-year low against the Japanese currency after the Federal Reserve cut interest rates to historic lows. The U.S. unit received a slight boost after a report showed jobless claims fell in the latest week. The dollar index ($DXY:
78.04, -0.87, -1.1%) , which measures the U.S. unit against a basket of six major currencies, stood at 78.498, compared with 78.584 in late trade Wednsday.