We have observed a field in Baade's Window using the Wide Field Camera
of the Hubble Space Telescope (HST) and obtain V- and I-band photomet
ry down to V approximately 22.5. These data go several magnitudes fain
ter than previously obtained from the ground. The location of the brea
k in the luminosity function suggests that there are a significant num
ber of intermediate age (< 10 Gyr) stars in the Galactic bulge. This c
onclusion rests on the assumptions that the extinction towards our fie
ld is similar to that seen in other parts of Baade's Window, that the
distance to the bulge is approximately 8 kpc, and that we can determin
e fairly accurate zero points for the HST photometry. Changes in any o
ne of these assumptions could increase the inferred age, but a conspir
acy of lower reddening, a shorter distance to the bulge, and/or photom
etric zero-point errors would be needed to imply a population entirely
older than 10 Gyr. We infer an initial mass function slope for the ma
in-sequence stars, and find that it is consistent with that measured i
n the solar neighborhood; unfortunately, the slope is poorly constrain
ed because we sample only a narrow range of stellar mass and because o
f uncertainties in the observed luminosity function at the faint end.