The bank will pay $1.25 billion dollars (£777 million) in forfeiture, the largest ever in a case involving a bank, and $655 million (£407 million) in civil penalties, the American sources said.
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The Chancellor will promise to fix a glitch, which means repayments continue to be taken for up to 12 months after the loan is paid off.
The proposal will see the introduction of a discounted railcard for 26-30-year-olds, as the government looks to lessen the cost of living.
The vessel went missing last week with 44 sailors on board.