英文文献：Testing the local volatility assumption: a statistical approach-检验局部波动率假设:一种统计方法
英文文献作者：Mark Podolskij,Mathieu Rosenbaum
英文文献摘要：
In practice, the choice of using a local volatility model or a stochastic volatility model is made according to their respective ability to fit implied volatility surfaces. In this paper, we adopt an opposite point of view. Indeed, based on historical data, we design a statistical procedure aiming at testing the assumption of a local volatility model for the price dynamics, against the alternative of a stochastic volatility model.

在实际应用中，根据局部波动率模型和随机波动率模型拟合隐含波动率曲面的能力，选择了局部波动率模型和随机波动率模型。在本文中，我们采用一种相反的观点。事实上，基于历史数据，我们设计了一个统计程序，旨在测试假设的局部波动模型的价格动态，以替代随机波动模型。