基于贝叶斯方法的股票收益波动率建模及其在期权定价中的应用

A Bayesian Approach to Modeling Stock Return Volatility for Option Valuation

Journal of Financial and Quantitative Analysis · 1993
被引 53
人大 AFT50ABS 4

中文导读

用贝叶斯方法估计股票收益波动率,利用公司规模、财务杠杆和交易量等先验信息,提高了看涨期权定价的预测准确性,并纠正了标准方法对高/低波动率股票期权的系统性定价偏差。

Abstract

New measures of stock return volatility are developed to increase the precision of stock option price estimates. With Bayesian statistical methods, volatility estimates for a given stock are developed using prior information on the cross-sectional patterns in return volatil? ities for groups of stocks sorted on size, financial leverage, and trading volume. Call option values computed with the Bayesian procedure generally improve prediction accuracy for market prices of call options relative to those computed using implied volatility, standard historical volatility, or even the actual ex post volatility that occurred during each option's life. Although the Bayesian methods produce biased call price estimators, they do reduce the systematic tendency of standard pricing approaches to overprice (underprice) options on high (low) volatility stocks. Little bias improvement is observed with respect to the time to maturity and moneyness of the call options.

贝叶斯方法股票收益波动率期权定价波动率估计