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📜 SIDE QUEST · DEEP DIVE · ◆◆◆ · ~12 min

Itô's Lemma, Derived

Build Itô's lemma from scratch — and see why a correction term appears.

"The chain rule, rewritten for randomness."

quadratic variationItô multiplication tableTaylor expansionItô correctionlognormal
🚀 You're jumping ahead. This builds on Stochastic Calculus I — but play it now and you'll still earn full XP. If it feels steep, those make a gentler on-ramp.

A short lesson, then a quiz. ❤️×3 — a wrong answer costs a heart; finish with at least one left and the level is yours. Lose all three and you'll have to try again. Replay any time — XP and cleared levels are never lost.