Finance & Options

Black Scholes PDE for Dummies

Hedge away all the risk, and the option’s value must satisfy one equation.

What to remember

  • Delta-hedging removes the randomness, so the portfolio earns r.
  • The PDE contains no μ.
  • ATM call ≈ 0.4 σ√T S; long gamma pays theta.
Read the lessonThe Black-Scholes PDE, with a checkpoint at the end.