On Sunday, Bank of Cyprus further limited cash machine withdrawals to 120 euros a day.
The "haircut" for such deposits in Bank of Cyprus is expected to be about 60%.
At Bank of Cyprus, about 22.5 percent of deposits over 100, 000 euros will attract no interest.
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Bank of Cyprus and Laiki were seen as more financially stable than the state.
Although it is not clear why, the Chairman of the Bank of Cyprus, Andreas Artemis, resigned today.
The consultancy's report on Bank of Cyprus has been leaked to Cypriot media, but not yet published.
Besides the Greek bond purchases the consultancy also scrutinised Bank of Cyprus operations in Romania and Russia.
Bank of Cyprus, which was also exposed to Greek debt, might also be involved in the restructuring.
The island's two largest banks, the Bank of Cyprus and Popular Bank, were bailed out following massive losses.
The programme money (up to 10bn Euros) will not be used to recapitalise Laiki and Bank of Cyprus.
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Most of the accounts considered worth saving from Laiki would find a new home at Bank of Cyprus.
Big depositors at Laiki now could face an even tougher "haircut" than those with the Bank of Cyprus.
Cyprus agreed last week to shut down Laiki and transfer deposits of under 100, 000 euros to Bank of Cyprus.
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Popular Bank will be broken up immediately, and its viable assets will be integrated into the Bank of Cyprus.
But Cyprus resisted pressure by creditors to also unwind the country's largest lender, Bank of Cyprus, the diplomat said.
Bank of Cyprus UK and Laiki Bank UK both confirmed on their websites that there would be no impact.
Bank of Cyprus will be recapitalized through the imposition of a swap of uninsured deposits for equity in the bank.
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"There is no effect on deposits with Bank of Cyprus UK Limited, which is a UK bank, " said a spokesman.
Meanwhile the island's largest bank, the Bank of Cyprus, appealed for a bailout deal to save the economy from ruin.
The rescue plan would turn Bank of Cyprus into "one of the best capitalised in the world", Mr Demetriades said.
The ratings firm downgraded Cyprus Popular Bank to D, equivalent of Default and Bank of Cyprus to "SD", "Selective Default".
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The rest would have come from Cyprus itself and from those large depositors in the Bank of Cyprus and Laiki (Popular) Bank.
The Cyprus Mail website says information provided by Bank of Cyprus was incomplete and data-deleting software was found on some computers there.
In 2012, Bank of Cyprus PCL, the largest Cypriot bank, converted its U.K. branch into a subsidiary under pressure from U.K. authorities.
"Good" parts of the bank are being transferred to Bank of Cyprus.
In return, the country is imposing extensive losses on deposits over 100, 000 euros at its two biggest banks, the Bank of Cyprus and Laiki.
Those with mortgages or loans from Laiki Bank will see them transferred to Bank of Cyprus, not in the UK, but in Cyprus itself.
The Bank of Cyprus (UK) is separately capitalised from its parent company and its customers are included within the UK Financial Services Compensation Scheme.
Bank of Cyprus depositors with more than 100, 000 euros could lose up to 60% of their savings as part of the bailout, officials say.
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