  OGLE-2014-BLG-0962 (OB140962) is a stellar binary microlensing event that was
well-covered by observations from the Spitzer satellite as well as ground-based
surveys. Modelling yields a unique physical solution: a mid-M+M-dwarf binary
with $M_{\rm prim} = 0.20 \pm 0.01 M_\odot$ and $M_{\rm sec} = 0.16 \pm 0.01
M_\odot$, with projected separation of $2.0 \pm 0.3$ AU. The lens is only
$D_{\rm LS} = 0.41 \pm 0.06$ kpc in front of the source, making OB140962 a
bulge lens and the most distant Spitzer binary lens to date. In contrast,
because the Einstein radius ($\theta_{\rm E} = 0.143 \pm 0.007$ mas) is
unusually small, a standard Bayesian analysis, conducted in the absence of
parallax information, would predict a brown dwarf binary. We test the accuracy
of Bayesian analysis over a set of Spitzer lenses, finding overall good
agreement throughout the sample. We also illustrate the methodology for probing
the Galactic distribution of planets by comparing the cumulative distance
distribution of the Spitzer 2-body lenses to that of the Spitzer single lenses.
