Is W(t)³ a martingale?

Applying Itô's lemma to f=W(t)3f = W(t)^3, is the resulting process a martingale?

Show hints (2)+
  1. Apply Itô: watch the second-order term.
  2. A martingale must have zero drift.

Answer

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No - it has a nonzero drift term 3W dt

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Asked at: Probability & Market-Making, Multi-Strategy Quant

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