medium · Quantitative Finance

A Heston stochastic volatility model is calibrated with parameters κ = 1.5, θ = 0.04, and ξ = 0.45.

Does this parameter set satisfy the Feller condition, and what is the implication for the variance process v_t?

  1. No, it violates the condition; the variance v_t can touch zero.
  2. Yes, it satisfies the condition; the stock price is guaranteed to be lognormal.
  3. Yes, it satisfies the condition; the variance v_t stays strictly positive.
  4. No, it violates the condition; the variance v_t will eventually drift to infinity.

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