Someone who is composed is calm and collected—they have their feelings under control in a given moment. Someone who is unflappable is utterly unshakable or imperturbable, especially in a crisis. Someone with an unflappable demeanor, for instance, is remarkable for their even-keeled conduct and deportment, even when it might seem perfectly reasonable to the rest of us to make a flap!
To predict something is foretell it, often but not always with precision of calculation, knowledge, or shrewd inference from facts or experience. To augur something is to divine or predict it, as from omens. Augur also means to bode, as in the case of a consumer trend that augurs well for a company. Augur is easy enough to find in contemporary writing and speech, but it is rooted in ancient mysteries: the noun augur, which predates the verb in English, refers to one of a group of Roman officials charged with observing and interpreting omens for guidance in public affairs.
The word disappointment refers to a feeling of being let down, or to something that produces that feeling by failing to fulfill expectations or wishes. The noun chagrin is more pointed: this word refers to a feeling of vexation or irritation marked by disappointment or humiliation—or both!