Abstract

This note focuses on the Ornstein–Uhlenbeck process reflected at its long-run level (or long-run mean). The analytical closed-form of the transition density is obtained by virtue of the Skorokhod equation and the time-change for martingales. Our result is consistent with that presented by Linetsky (2005). Finally, an open problem concerning the general cases (reflected at an arbitrary level) is proposed.

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