2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/109078We describe a new, surprisingly simple algorithm, that simulates exact sample paths of a class of stochastic differential equations. It involves rejection sampling and, when applicable, returns the location of the path at a random collection of time instances. The path can then be completed without further reference to the dynamics of the target process.Published at http://dx.doi.org/10.1214/105051605000000485 in the Annals of Applied Probability (http://www.imstat.org/aap/) by the Institute of Mathematical Statistics (http://www.imstat.org)Probability60J60, 65C05 (Primary)text