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We use three-dimensional distributions of classical Cepheids and RR~Lyraestars in the Small Magellanic Cloud (SMC) to model the stellar densitydistribution of a young and old stellar population in that galaxy. We use thesemodels to estimate the microlensing self-lensing optical depth to the SMC,which is in excellent agreement with the observations. Our models areconsistent with the total stellar mass of the SMC of about 1.0 x 10^9 MSununder the assumption that all microlensing events toward this galaxy are causedby self-lensing. We also calculate the expected event rates and estimate thatfuture large-scale surveys, like the Large Synoptic Survey Telescope (LSST),will be able to detect up to a few dozen microlensing events in the SMCannually. If the planet frequency in the SMC is similar to that in the MilkyWay, a few extragalactic planets can be detected over the course of the LSSTsurvey, provided significant changes in the SMC observing strategy are devised.A relatively small investment of LSST resources can give us a unique probe ofthe population of extragalactic exoplanets.

New Self-lensing Models of the Small Magellanic Cloud: Can Gravitational Microlensing Detect Extragalactic Exoplanets?