统计研究 ›› 2024, Vol. 41 ›› Issue (3): 115-128.doi: 10.19343/j.cnki.11–1302/c.2024.03.009

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无模型隐含波动率的信息含量与定价能力——基于上证50ETF期权的实证研究

黄金波 王天娇   

  • 出版日期:2024-03-25 发布日期:2024-03-25

The Information Content and Pricing Power of Model-free Implied Volatility: Empirical Research on SSE 50 ETF Options

Huang Jinbo Wang Tianjiao   

  • Online:2024-03-25 Published:2024-03-25

摘要: 本文从上证50ETF期权价格中提取无模型隐含波动率并检验其信息含量,基于随机折现因子理论推导波动率风险的系统性与正负性判定公式,从波动率风险溢酬和相关性两方面验证波动率是否为系统性风险,进而基于A股市场的个股数据检验波动率风险在股票截面收益上的定价能力。研究结果表明:无模型隐含波动率包含BS隐含波动率中的所有信息和历史波动率中的大部分信息,是未来已实现波动率的有效估计;市场波动率为系统性风险因子且存在显著为负的风险溢酬;组合分析表明,对市场波动率暴露较大的股票组合在未来的收益较低,且暴露最大与最小股票组合的收益率之差显著为负,该结论在控制经典风险因子和改变交易策略之后依然稳健;Fama-MacBeth两步法结果表明波动率风险被定价且风险价格显著为负。

关键词: 波动率风险, 无模型隐含波动率, 已实现波动率, 资产定价

Abstract: This paper extracts the model-free implied volatility from the SSE 50 ETF option prices and verifies its information content. Based on the stochastic discount factor theory, we derive the formula to judge whether the volatility is a positive or negative systematic risk, and verify it from the aspects of volatility risk premium and correlation. Furthermore, we examine the pricing power of volatility in the cross-section stock returns in A-share market. The results show that: The model-free implied volatility subsumes all information contained in the BS implied volatility and most of the information contained in the historical volatility, thus is a more efficient predictor for future realized volatility; The volatility is a systematic risk factor, and there is a significant negative volatility risk premium; The portfolio analysis indicates that the stocks with high sensitivities to market volatility have lower returns in the future, the high-minus-low hedge portfolio returns are negative, and this negative relationship remains significant after controlling classical risk factors and changing the trading strategy; The Fama-MacBeth two-step method shows that the volatility risk is priced with a significantly negative value.

Key words: Volatility Risk, Model-free Implied Volatility, Realized Volatility, Asset Pricing