Present Indicative: Contract Verbs

Why contract? Because, if the stem ends in α, ε or ο, for reasons of fluency of speech, that stem α, ε or ο combines with the ending. In Attic Greek anyway.
Look at English: We say things like "doesn't, won't, he's gone, they've left, the're not here". Why? Because it's easier - for us! That's elision, the Greeks do that too. But they found out that for them, contracting action verbs was also easier. For them!
 
 
  shouts, is shouting 
  
βο ω   becomes  βο  
βο εις   becomes  βο ς 
βο ει   becomes  βο  
βο ομεν   becomes  βο μεν 
βο ετε   becomes  βο τε 
βο ουσιν   becomes  βο σιν 

 
 Note 
 
All the endings are regular, only the stem has changed: it has lost its end vowel, α in this case. And that vowel has combined with the regular endings, lenghtening them. But this α was an accented and the accent has remained with it, changing to a circumflex to let us know that it really is 2 syllables fused into one.
 
Contraction Rules
unaccented accented
  α + ε     becomes      α        + ε     becomes          
  α + ει     becomes            + ει     becomes        
  α + ω     become      ω        + ω     become          
  α + ο       + ο   
  α + ου       + ου