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I can relate as this calculation confused me quite a bit during my revision for ICWIM too. That is such a brilliant shortcut to remember, thank you kindly for sharing!
Use the table. The ICWIM curriculum lists the exact tiers. Stop trying to derive logic where there is none.
I certainly understand the exhaustion from these sliding scale calculations, treating the inflection point as a two-stage process is a brilliant shortcut and I thank you profusely for saving my revision time.
There is absolutely no shortcut to avoid reading the actual regulations; these tiered fees are designed to confuse clients and auditors. Stop trying to optimise your brain against a rigid rulebook. If you really want to master the AUM side of the hedge fund business model rather than panic over brackets, run this syllabus here /certifications/cisi-icwim/
Artificial shortcuts on fee gradations are the kind of vague memory that leads to full regulatory reviews. Never rely on mental arithmetic for legally binding fee structures; memorize the exact brackets provided in the source material. Download the UAE FRR syllabus to avoid regulatory traps: /certifications/cisi-uae-frr/
I find shortcuts are dangerous for regulation because the specific percentages in the UAE FRR are often changed by government decrees so I just relied on rote learning the table to ensure I didn't lose vital marks I basically bookmarked /certifications/cisi-uae-frr/ while revising at 3am.
The 40m inflection point is the cheat code, just treat the first chunk as one rate and the remainder as another to avoid sliding scale headaches.