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in·cum·bent
–adjective
1. holding an indicated position, role, office, etc., currently: the incumbent officers of the club.
2. obligatory (often fol. by on or upon): a duty incumbent upon me.
3. Archaic. resting, lying, leaning, or pressing on something: incumbent upon the cool grass. –

noun
4. the holder of an office: The incumbent was challenged by a fusion candidate.
5. British. a person who holds an ecclesiastical benefice.

Incumbent doesn't really mean 'existing' :s (but in that particular 'government' context I guess so)