You could put a boring head in the headstock taper and use that rather than your homemade tool. The tool would be a bit long at 100mm but several light cuts should do it.
If you have any spare length on the bar then hold it in the 3jaw and support the far end beyond the carrage with a fixed steady then turn down from the chuck for 100mm, finally saw off the bit that was in the chuck
J
Edited By JasonB on 14/07/2013 15:37:16