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重构波动率:粗糙波动率下的指数期权定价

Reconstructing volatility: Pricing of index options under rough volatility

Mathematical Finance · 2023
被引 2
人大 BABS 3

中文导读

扩展了Avellaneda等人的指数期权定价方法,使其适用于非马尔可夫动力学,特别是粗糙波动率情形,对依赖隐含波动率和相关性假设的指数期权产品定价与对冲有参考价值。

Abstract

Abstract Avellaneda et al. (2002, 2003) pioneered the pricing and hedging of index options – products highly sensitive to implied volatility and correlation assumptions – with large deviations methods, assuming local volatility dynamics for all components of the index. We present an extension applicable to non‐Markovian dynamics and in particular the case of rough volatility dynamics.

金融经济学期权定价波动率建模随机波动率