medium · Quantitative Finance stochastic

If you are using the Feynman-Kac formula to price an option where the underlying S_t has a dividend yield q, how does this affect the SDE used in the expectation?

  1. The volatility σ is reduced by q.
  2. The discount factor becomes e^-(r+q)(T-t).
  3. The drift of S_t becomes (r - q)S_t.
  4. The terminal payoff h(S_T) is multiplied by e^qT.

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