In the BA market, an acceptance may be referred to as eligible because it is acceptable by the Fed as collateral at the discount window and/or because the accepting bank can sell it without incurring a reserve requirement.
ELIGIBLE BANKERS' ACCEPTANCES
Meaning of ELIGIBLE BANKERS' ACCEPTANCES in English
Campbell R. Harvey. Hypertextual finance English glossary. Английский словарь гипертекстовых финансов. 2012