预测波动率与定价选择权:印度股票市场的实证评估

Sunaina Kanojia, Neeraj Jain
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引用次数: 0

摘要

本文对7种波动率预测模型进行了实证研究,即无条件标准差(也称为长期移动波动率)、标准GARCH(广义自回归条件异方差)模型、GJR-GARCH模型、指数GARCH模型(eGARCH)、非对称功率GARCH模型(apGARCH)、成分标准GARCH模型(csGARCH)、和期权隐含波动率模型来衡量最合适的波动率预测模型在Nifty成分股公司。资产类别的风险评估和价格确定主要依赖于为资产类别计算的波动率。为了在确定期权价格的过程中获得精度,使套期保值最有效,必须有最合适的波动率计算方法。本研究发现期权隐含波动率是表现最好的模型,除了少数类别的期权数据,其中VIX表现优于。同样,在Black-Scholes (BS)模型的实证表现上,本研究发现不同期限的表现并不相同,这表明波动性并不像BS模型在印度市场研究期间所假设的那样是恒定的。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Forecasting Volatility and Pricing Option: An Empirical Evaluation of Indian Stock Market
The present study empirically investigates and examine seven models of volatility forecasting, namely unconditional standard deviation (also written as Long Term Moving Volatility), Standard GARCH (Generalized Autoregressive Conditional Heteroscedasticity) model, GJR-GARCH model, Exponential GARCH model (eGARCH), Asymmetric Power GARCH model (apGARCH), Component Standard GARCH model (csGARCH) , and Option Implied Volatility model to gauge the most appropriate model of volatility forecasting in Nifty constituent companies. The assessment of risk and determination of price of the asset class is primarily dependent on the volatility calculated for the class of asset. In view of obtaining precision in the process of determining the price of the option and making hedging most effective, it’s imperative to have the most appropriate method of calculating the volatility. The present study finds option implied volatility as the best performing model except in few categories of option data where VIX outperformed. Similarly on empirical performance of Black-Scholes (BS) model the present study finds that performance is not same across various maturities which indicate volatility is not constant as assumed by BS model during the tenure of the study in Indian market.
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