Both input and output inefficiencies are derived from a profit functio
n for US banks. These inefficiencies are decomposed into allocative an
d technical components in a new way using shadow prices. About half of
all potential variable profits are estimated to be lost to inefficien
cy. Most inefficiencies are from deficient output revenues, rather tha
n excessive input costs. Larger banks are found to be more efficient t
han smaller banks, which may offset scale diseconomies found elsewhere
. Tests of a new concept, 'optimal scope economies', suggest that join
t production is optimal for most banks, but that specialization is opt
imal for others.