FOREX-US dollar hits 1-month highs on bank woes,stock fall

* Euro falls; dollar index hits one-month high

* Stocks down on bank worries, hitting risk appetite

* UK bank shake-up stings sterling; Aussie down after RBA

* Federal Reserve rate announcement, payroll data, awaited (Adds quotes, updates prices)

By Wanfeng Zhou

NEW YORK, Nov 3 (Reuters) - The U.S. dollar rose to a one-month high against a basket of currencies on Tuesday as concerns about the global banking sector and weaker equity markets boosted the greenback's safe-haven appeal.

European shares fell and Wall Street stocks traded lower after disappointing results from UBS UBSN.VS and a shake-up of UK banks Lloyds (LLOY.L: Quote, Profile, Research) and Royal Bank of Scotland (RBS.L: Quote, Profile, Research) prompted investors to cut back on risk.

"We saw investors focus once again on the health of the banking sector," said Omer Esiner, senior market analyst at Travelex Global Business Payments in Washington. "Stocks were generally lower and that has rekindled demand for safe-haven, low-yielding assets like the dollar and the Japanese yen."

In midday trading, the ICE Futures U.S. dollar index .DXY, a measure of the greenback against a basket of six major currencies, rose 0.4 percent to 76.580, after earlier climbing as high as 76.817, its highest since early October.