Please cite the location of specific requirement(s)...
As Pierre noted above, technically all that is req'd from new to old (or vice-versa) is one neutral conductor... provided it is appropriately sized. It is only when you run smaller conductors that you must separate them.
Technically speaking, this is all that is required, as long as it is properly sized.
Most people in our industry have a hard time wrapping the mind around this concept. But if ampacity adjustment is an issue, the can reduce the number of current carrying conductor under certain circumstances.
To properly size the neutral in a conduit situation with several branch circuits, do I determine the size of the neutral based on the calculated load of the circuits?