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* May to meet business chiefs in New York
* Britain wants to reassure and hear U.S. investors (Adds quote from British prime minister, details on economy)
By Guy Faulconbridge
NEW YORK, Sept 19 (Reuters) - British Prime Minister Theresa May will meet business chiefs from firms including Goldman Sachs , IBM and Amazon on Monday in an attempt to reassure investors after her country's shock vote to leave the European Union.
The June 23 vote took many investors and chief executives by surprise, triggering the deepest political and financial turmoil in Britain since World War Two and the biggest ever one-day fall in sterling against the dollar.
"There's something like a million people in the UK wake up each morning and then go to work for an American company in the UK," said May, who is in New York to attend the United Nations General Assembly. She told reporters that she wanted to hear what issues they wanted addressed in the Brexit negotiations.
Chief executives from AECOM, Morgan Stanley, BlackRock, Merck & Co, Sony Pictures and United Technologies Corp will also be at the meeting, a spokeswoman for May said.
Representatives from Thomson Reuters, the parent company of Reuters News, would attend, the spokeswoman said.
Despite warnings before the vote that Brexit would shatter economic confidence, some positive economic data and Softbank's $32 billion takeover of Britain's technology company ARM have stoked the perception that Britain could prosper outside the EU.
Still, May and her ministers admit they need to reassure investors from the United States, Japan, China and India that the United Kingdom and London, the only financial capital to rival New York, are still good places to make money.
Some investors have called for clarity about how much access foreign companies based or operating out of Britain will have to the European market, a concern for some U.S. banks and manufacturers which sell into the EU from Britain.
May said she wanted to encourage trade and investment between the United States and Britain.
Before the vote, some U.S. companies had warned that Brexit would complicate their lives and could cost jobs. Those included JPMorgan Chase Chief Executive Jamie Dimon, who has 16,000 staff based in Britain.
British companies reduced their investment plans in the month after Britain voted to leave the EU, a survey by Lloyds Bank showed on Monday, a further sign the decision is likely to have a lasting impact on the economy. (Reporting by Guy Faulconbridge; Editing by Chizu Nomiyama and Grant McCool)