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

Reveal answer →

No — it has a nonzero drift term 3W dt

Want the full step-by-step worked solution? It's part of Premium — along with a worked solution for every question in the bank.

Asked at: Jane Street, Citadel

Related questions