American option valuation: Implied calibration of GARCH pricing models

This study analyzes the issue of American option valuation when the underlying exhibits a GARCH‐type volatility process. We propose the usage of Rubinstein's Edgeworth binomial tree (EBT) in contrast to simulation‐based methods being considered in previous studies. The EBT‐based valuation approach makes an implied calibration of the pricing model feasible. By empirically analyzing the pricing performance of American index and equity options, we illustrate the superiority of the proposed approach. © 2010 Wiley Periodicals, Inc. Jrl Fut Mark     

Mergers and Acquisitions and Market Volatility of Brazilian Banking Stocks: An Application of GARCH Models

The main objective of this research was to investigate the impacts caused by announcements of mergers and acquisitions (M&As) on the volatility of the returns of Brazilian bank stocks from 1994 to 2015. In order to achieve the proposed objective, this study applied Generalized Autoregressive Conditional Heteroscedastic (GARCH) class models to the series to model their volatility. Our results confirmed the impact of the announcement of M&As on volatility. They suggest that M&A announcements are expected to cause a negative reaction if related to an expansion or a deal involving a less-well known bank, and a positive reaction if it involves well-known bank with good reputation—a higher level of confidence and a lower level of information asymmetry for investors.     

The Information Content of Model‐Free Implied Volatility

This study examines the information content of model‐free implied volatility (MFIV) estimates with respect to the options and futures markets in Hong Kong. In this study, the volatility forecasting performance of MFIV is compared, using different prediction horizons, to IV estimates based on Black's futures option pricing model (BIV) and time‐series forecasts based on historical volatility (TS‐HV). The results show that the BIV prediction is unbiased for different horizon forecasts. MFIV outperforms TS‐HV forecasts and, most importantly, BIV subsumes the information content of both MFIV and TS‐HV forecasts. The results are largely maintained for next‐day forecasts but the forecasting quality of the two IV measures declines as expiration day approaches. The information contents of MFIV and TS‐HV forecasts are complementary. © 2012 Wiley Periodicals, Inc. Jrl Fut Mark 32:792‐806, 2012     

隐含波动率的信息含量及其在我国的应用

国内现有关于波动率的研究多集中于时间序列模型,忽略了另一类预测波动率的方法即隐含波动率法。文章在回顾、评述了国内关于波动率的研究后,对国外关于隐含波动率的研究进行了梳理,为在我国大陆地区发展股指期权市场、通过提高期权市场的效率,以运用隐含波动率法更好地预测波动率提供了理论基础和政策建议。     

权证定价中基于GARCH模型族的波动率研究

传统的权证定价方法假定标的证券收益率服从对数正态分布。但现实世界中标的证券收益率却具有尖峰厚尾分布,波动率的聚集性,证券市场的"杠杆作用"等特征,因而传统定价结果可能导致偏差较大。为此,本文以随机波动率代替历史波动率的假设,消除金融时间序列的异方差性的影响;运用GARCH模型族中的3种模型(GARCH,EGARCH,GJR-GARCH)对其进行参数估计,及权证定价对比;还分别就历史与随机波动率的差别、对称型与非对称型GARCH模型的差别,以及理论与实际的差别进行了比较分析。结论得出这种差别的来源,并对此进行了探讨。     

基于跳跃、好坏波动率的混频已实现EGARCH模型的波动率预测与风险度量

为探究资产价格的跳跃行为和收益波动的非对称效应对波动率预测的影响,以高频数据建模为视角,基于跳跃、好坏波动率将Realized EGARCH-MIDAS模型进行拓展,以提升模型的波动率预测能力与风险度量效果。运用拓展后的模型,以沪深300指数价格高频数据为样本进行实证分析,探究中国股票市场的波动性规律,并采用似然函数、信息准则和基于损失函数的DM与MCS等检验方法,综合比较了改进前后的模型对波动率及风险值的预测效果。实证结果显示：(1)沪深300指数收益的长期波动主要来源于连续波动而非跳跃波动,且受正连续波动影响更大,而负跳跃对波动具有明显的负向冲击;(2)文章提出的拓展模型均能更好地捕捉波动率的长记忆性,在样本内估计和样本外预测上也都有更好的表现,其中同时考虑跳跃与非对称影响的Realized EGARCH-MIDAS-RSJ拓展模型拥有最优的估计及预测效果。     

基于GARCH族模型的深证指数波动性研究

GARCH族模型是对金融数据波动性进行描述的有效方法。本文采用Eviews软件,选取2018年1月2日—2019年12月31日的深圳综指数共465个日收盘价,对数据预处理并转化为平稳的对数收益率序列,检验出ARCH效应之后对其定阶,最后基于建立GARCH和TGARCH模型分析其波动的特征,得出深证指数具有较高的波动集群性特征和杠杆效应,存在极端价格的变动情况,即股票市场还不够成熟并根据变动特征提出相应的政策建议,以供参考。     

Conditional Volatility and the GARCH Option Pricing Model with Non‐Normal Innovations

On the basis of the theory of a wedge between the physical and risk‐neutral conditional volatilities in Christoffersen, P., Elkamhi, R., Feunou, B., & Jacobs, K. (2010), we develop a modification of the GARCH option pricing model with the filtered historical simulation proposed in Barone‐Adesi, G., Engle, R. F., & Mancini, L. (2008). The one‐day‐ahead conditional volatilities under physical and risk‐neutral measures are the same in the previous model, but should have been allowed to be different. Using extensive data on S&P 500 index options, our approach, which employs one‐day‐ahead risk‐neutral conditional volatility estimated from the cross‐section of the option prices (in contrast to the existing GARCH option pricing models), maintains theoretical consistency under conditional non‐normality, and improves the empirical performances. Remarkably, the risk‐neutral volatility dynamics are stable over time in this model. In addition, the comparison between the VIX index and the risk‐neutral integrated volatility economically validates our approach. © 2011 Wiley Periodicals, Inc. Jrl Fut Mark 33:1–28, 2013     

A Comparison of Consensus and BVAR Macroeconomic Forecasts

This paper provides a one-month-ahead, macroeconomic, Bayesian Vector Autoregressive (BVAR) forecasting approach that offers several advantages over conventional short-term forecasting procedures. In particular, it produces more accurate forecasts than the Bloomberg consensus forecasts, on average, for 20 major macroeconomic variables. In addition to a quantitative comparison of BVAR and Bloomberg consensus forecast, the paper focuses on five important areas of macroeconomic forecasting: the role of short-term macroeconomic forecasting, the importance of a robust forecasting approach, the importance of timing of data releases, forecast evaluation criteria, and the importance of changing model specifications as conditions warrant.     

Hours of Work and Advertising: An International Comparison

A cross-sectional analysis over 24 different countries tests the hypothesis that advertising increases aggregate demand. The method adopted regressed hours worked on advertising and on other relevant independent variables. The notion that advertising increases people's acquisitive instincts and hence desire to work at wage rates lower than would otherwise hold received scant support.