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 first derive a representation of the additive (the multiplicative) decomposition of its Az\'ema supermartingale in terms of optional supermartingales and its running supremum.