首先，我們目前最知名的和流行的所有隨機波動模型，Heston模型，並提供Heston歐式期權定價公式的詳細推導。 第二，對於一個模型是在實踐中是有用的，它需要返回的歐式期權當前的市場價格。這意味著，我們需要適合我們模型的參數來配對市場波動度，並解釋如何校準Heston模型市場資料。 ;First, we present the most well-known and popular of all stochastic volatility models, the Heston model, and provide a detailed derivation of the Heston European option valuation formula. Second, for a model to be useful in practice, it needs to return the current market price of European options. That implies that we need to fit the parameters of our model to market implied volatilities and explain how to calibrate the Heston model to market data.
