Unfortunately, I made an error. I did not notice that your example was
\(\displaystyle 0.04\% - 0.03\% = 0.01\%.\) Why did I not notice that? I have no clue.You were clear enough.
That is a difference of one basis point, not one percentage point.
\(\displaystyle 4\% - 3\% = 1\% = 1\ percentage\ point.\)
\(\displaystyle 0.04\% - 0.03\% = 0.01\% = a\ hundredth\ of\ a\ percentage\ point = 1\ basis\ point.\)
Sorry for my mistake.