We present 24 \micron photometry of the intermediate-age open cluster Praesepe .
We assemble a catalog of 193 probable cluster members that are detected in optical databases , the Two Micron All Sky Survey ( 2MASS ) , and at 24 \micron , within an area of \sim 2.47 square degrees .
Mid-IR excesses indicating debris disks are found for one early-type and for three solar-type stars .
Corrections for sampling statistics yield a 24 \micron excess fraction ( debris disk fraction ) of 6.5 \pm 4.1 % for luminous and 1.9 \pm 1.2 % for solar-type stars .
The incidence of excesses is in agreement with the decay trend of debris disks as a function of age observed for other cluster and field stars .
The values also agree with those for older stars , indicating that debris generation in the zones that emit at 24 \micron falls to the older 1-10 Gyr field star sample value by roughly 750 Myr .

We discuss our results in the context of previous observations of excess fractions for early- and solar-type stars .
We show that solar-type stars lose their debris disk 24 \micron excesses on a shorter timescale than early-type stars .
Simplistic Monte Carlo models suggest that , during the first Gyr of their evolution , up to 15-30 % of solar-type stars might undergo an orbital realignment of giant planets such as the one thought to have led to the Late Heavy Bombardment , if the length of the bombardment episode is similar to the one thought to have happened in our Solar System .

In the Appendix , we determine the cluster ’ s parameters via boostrap Monte Carlo isochrone fitting , yielding an age of 757 Myr ( \pm 36 Myr at 1 \sigma confidence ) and a distance of 179 pc ( \pm 2 pc at 1 \sigma confidence ) , not allowing for systematic errors .