We analyze the Galactic bulge microlensing event MOA 2003-BLG-37 . Although the Einstein timescale is relatively short , t _ { E } = 43 days , the lightcurve displays deviations consistent with parallax effects due to the Earth ’ s accelerated motion . We show that the \chi ^ { 2 } surface has four distinct local minima that are induced by the “ jerk-parallax ” degeneracy , with pairs of solutions having projected Einstein radii , \tilde { r } _ { E } = 1.76 { AU } and 1.28 { AU } , respectively . This is the second event displaying such a degeneracy and the first toward the Galactic bulge . For both events , the jerk-parallax formalism accurately describes the offsets between the different solutions , giving hope that when extra solutions exist in future events , they can easily be found . However , the morphologies of the \chi ^ { 2 } surfaces for the two events are quite different , implying that much remains to be understood about this degeneracy .