> Productivity is for other people asking you to achieve a goal
Productivity is a measurement for any work, independent of the season why one executes this work. You can be productive for your own tasks, or the tasks for someone else, it still could be measured and evaluated.
> and you measure this productivity with money earned
No, you do not. Money can be a viable metric, but most often wage and productivity have not direct correlation in most jobs today. This is a typical misconception.