The quality or state of being able to be assigned, transferred, or given to someone else.
From 'assignable' (able to be assigned) plus the noun suffix '-ity'. The root 'assign' comes from Old French 'assigner' and Latin 'assignare' (to allot or appoint to).
Assignability is crucial in modern commerce—a contract's assignability determines whether you can sell your rights to someone else, which is why banks care deeply about whether mortgages can be traded.
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