Before revision: Given a finite honest time, we derive representations for the additive and multiplicativedecomposition of it's Az\'ema  supermartingale in terms of optional supermartingales and its running supremum.
After revision: Given a finite honest time, we derive representations for the additive and multiplicativedecomposition of it's Az\'ema supermartingale in terms of the draw-down (the relative draw-down) of some optional supermartingales with continuous running supremum.