  We report the electronic and magnetic properties of stoichiometric
CeAuBi$_{2}$ single crystals. At ambient pressure, CeAuBi$_{2}$ orders
antiferromagnetically below a N\'{e}el temperature ($T_{N}$) of 19 K. Neutron
diffraction experiments revealed an antiferromagnetic propagation vector
$\hat{\tau} = [0, 0, 1/2]$, which doubles the paramagnetic unit cell along the
$c$-axis. At low temperatures several metamagnetic transitions are induced by
the application of fields parallel to the $c$-axis, suggesting that the
magnetic structure of CeAuBi$_{2}$ changes as a function of field. At low
temperatures, a linear positive magnetoresistance may indicate the presence of
band crossings near the Fermi level. Finally, the application of external
pressure favors the antiferromagnetic state, indicating that the 4$f$ electrons
become more localized.
