Arithmetic vs geometric grid spacing, and why it matters more than it sounds

Two ways to space the levels of a grid. Arithmetic, fixed dollar step. Levels at 100, 98, 96, 94. Simple, and the percentage move between levels grows as price falls: 98→96 is 2.0%, but 20→18 would be 10%. Geometric — fixed percentage step. Levels at 100, 98, 96.04, 94.12. Every level is the same percentage apart, which means every completed round trip earns the same percentage return. For anything that can move a long way from where you started. Most crypto, small caps. Geometric is the honest choice, because your profit per round trip stays consistent instead of quietly shrinking near the top and exploding near the bottom. The mistake I made: arithmetic spacing on something that fell 60%. Near the bottom my levels were 5% apart in percentage terms, so I was buying enormous relative dips with the same fixed size. That's not a grid anymore, that's averaging down with extra steps.
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HalfKelly
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RiskFirstRita· Jul 2026 ago
"That's not a grid anymore, that's averaging down with extra steps" should be pinned somewhere.
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QuietVol· Jul 2026 ago
The geometric version also makes the arithmetic of expected return per cycle actually tractable, which the arithmetic version does not.
GrandpaGrizzly· Jul 2026 ago· edited Aug 2026 ago
Learned that one the hard way in the 90s with a fixed-step ladder on a stock that went from 40 to 6. By the end each rung was a fifth of the remaining price and I was still buying the same lot size. Grid on the way down turns into conviction whether you asked for it or not.
SlowSwing_Sam· Jul 2026 ago
Fixed dollar steps only really behave if the thing stays in a range you already understand, and most things don't stay anywhere.
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MomoQueen· Aug 2026 ago
YES on the same-percent-per-round-trip point!! That's the whole reason to bother! If your bottom cycles pay 5% and your top cycles pay 2% you're not running one system, you're running two and only one of them ever gets tested!
CryptoKarl· Aug 2026 ago
geometric is basically the only way i can sleep in crypto lol, stuff halves and doubles like it's nothing. arithmetic on a coin that went -60% is just a slow leveraged long with a spreadsheet attached, been there, did not enjoy it
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