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A source familiar with the matter was quoted by The Wall Street Journal as saying that the bank is currently negotiating a settlement with the Federal Housing Finance Agency (FHFA).
The final amount of any agreement remains fluid, the source added.
Both Goldman Sachs and the FHFA refused to comment on the report.
FHFA had filed 18 lawsuits against Goldman and other banks in the US District Court for the Southern District of New York in 2011 accusing them of mis-selling about $200bn in mortgage-backed securities.
Goldman is accused of selling nearly $11.1bn in mortgage-backed securities to Fannie and Freddie, while projecting a false picture of the loans, Bloomberg reported citing FHFA’s lawsuit.
The agency has so far recovered $16.1bn in agreements with some of the banks, including Morgan Stanley, which agreed to pay $1.25bn to resolve the claims in February.
However, Goldman, along with HSBC, Nomura and Royal Bank of Scotland Group, is yet to settle FHFA mortgage-related lawsuits.
While Goldman Sachs and HSBC are scheduled to face trial on 29 September, a trial in the Nomura case is due on 26 January 2015.
Image: Goldman is accused of mis-selling nearly $11.1bn in mortgage-backed securities to Fannie and Freddie. Photo: courtesy of Ricardo630.