  We present the results of a systematic search for transiting planets in a ~5
Myr open cluster, NGC 2362. We observed ~1200 candidate cluster members, of
which ~475 are believed to be genuine cluster members, for a total of ~100
hours. We identify 15 light curves with reductions in flux that pass all our
detection criteria, and 6 of the candidates have occultation depths compatible
with a planetary companion. The variability in these six light curves would
require very large planets to reproduce the observed transit depth. If we
assume that none of our candidates are in fact planets then we can place upper
limits on the fraction of stars with hot Jupiters (HJs) in NGC 2362. We obtain
99% confidence upper limits of 0.22 and 0.70 on the fraction of stars with HJs
(f_p) for 1-3 and 3-10 day orbits, respectively, assuming all HJs have a
planetary radius of 1.5R_Jup. These upper limits represent observational
constraints on the number of stars with HJs at an age <~10 Myr, when the vast
majority of stars are thought to have lost their protoplanetary discs. Finally,
we extend our results to the entire Monitor Project, a survey searching young,
open clusters for planetary transits, and find that the survey as currently
designed should be capable of placing upper limits on f_p near the observed
values of f_p in the solar neighbourhood.
