Instead of simply looking at the absolute value of the cost per employee, compare it to the time lost to the current method of accounting. Do you lose $9/month in work per employee on expense processing?
If it takes employees an average of 5 minutes per month, you don't have a problem. If it takes them 2 hours per month, investing $9/employee/month is a net win.
If it takes employees an average of 5 minutes per month, you don't have a problem. If it takes them 2 hours per month, investing $9/employee/month is a net win.