FOREX-Dollar, yen fall versus euro as stocks rebound

* Dollar, yen falls versus euro as equities rebound

* Stock markets end higher in choppy trade

* RBA slashes rates, ECB, BOE to cut later this week

* For up-to-the-minute market news, click on FXNEWS (Updates prices, adds quotes, changes byline)

By Wanfeng Zhou

NEW YORK, Dec 2 (Reuters) - The U.S. dollar and the yen fell against the euro on Tuesday as a stock market rebound reduced demand for safe havens.

Shares on Wall Street rose sharply in the last hour of trading after Monday's sell-off. The foreign-exchange market has closely eyed equity performance for direction in recent weeks, with rising stocks boosting risk appetite and hurting demand for the U.S. and Japanese currencies.

Overall, moves in major currencies were modest, with investors cautious ahead of monetary policy decisions from the European Central Bank and the Bank of England later in the week. Both are expected to slash rates aggressively to spur growth.

"The market is in a little bit of a wait-and-see mode," said Stephen Malyon, senior currency strategist at Scotia Capital in Toronto. "We have a lot of event risk later this week with various central bank decisions and (U.S.) nonfarm payrolls on Friday.  Continued...