Nerdy. Often when doing growth in Economics, we use change in natural logs. For a change to y from x, the log point change = 100*ln(y/x). So a change of 1 in the natural logs, which we often call "1%" is 100 log points.
If a dataseries rises from 100 to 100.5, then:
a. the % change is 0.5%
b. the change in the natural log is 0.0049875
c. the change in log points is 0.49875
If a dataseries rises from 100 to 101, then:
a. the % change is 1%
b. the change in the natural log is 0.00995
c. the change in log points is 0.995
A basis point is defined as: 1bp is 0.0001 = 1/100th of 1%. Or 100bps are 0.01 = 1%. One might be tempted to say 0.995 log points are 99.5 basis points, but that's not often done.
