基于高频数据的波动率与成交量动态关系研究

传统的价量分析都是从低频数据来分析股票市场上波动率、收益率与成交量之间的关系。基于高频数据,利用分位数回归并结合高频数据的波动率估计方法对高频数据中所呈现出的价量关系进行研究,并分析了股票价格跳跃过程所带来的跳跃方差与成交量之间的关系。实证分析表明：指数及个股收益率与成交量之间的关系并不显著;波动率、跳跃与成交量之间存在着显著相关的关系,个股的波动率与成交量之间的关系显著并呈现出正向相关关系,而指数的波动率与成交量之间呈现出一种负向关系,并且关系比较微弱;个股的成交量的改变会导致股票价格的跳跃方差的减小,而指数的成交量的改变则使得指数的跳跃方差增大。     

Examining the Return–Volatility Relation for Foreign Exchange: Evidence from the Euro VIX

We compare the return–volatility relation for the euro currency to the equivalent relation for the equity market, examining the sign, symmetry, and strength of the relation. We employ the euro‐currency exchange‐traded fund (FXE) and its associated option implied volatility index (the EVZ), whereas previous studies only employ equities and/or realized volatility. The equity studies find a negative asymmetric return–volatility relation for implied volatility, with a strong relation when large market movements occur. We find that the euro return–volatility relation can possess either a positive or negative sign, is asymmetric, and has a weaker relation. Thus, the sign and strength of the euro relation differs from the equivalent equity relation. Our quantile regressions show that both the positive and negative contemporaneous returns of the euro result in increased volatility in the extreme quantiles of the conditional distribution, with the contemporaneous effect showing a stronger relation when the euro depreciates. We also find that the volume of the euro‐currency ETF options affects the return–volatility relation for the euro ETF. Overall, the results here expand the concept originally restricted to equities, with the surprising results that the return‐implied volatility relation is weaker and the asymmetric return sometimes is positive for the euro currency. © 2012 Wiley Periodicals, Inc. Jrl Fut Mark 34:74–92, 2014     

The Return‐Implied Volatility Relation for Commodity ETFs

We examine the return‐implied volatility relation by employing “commodity” option VIXs for the euro, gold, and oil. This relation is substantially weaker than for stock indexes. We propose several potential reasons for these unusually weak results. Also, gold possesses an unusual positive contemporaneous return coefficient, which is consistent with a demand volatility skew rather than the typical investment skew. Moreover, the euro and gold are not asymmetric. We relate the results to trading strategies, algorithmic trading, and behavioral theories. An important conclusion of the study is that important differences exist regarding implied volatility for certain types of assets that have not yet been explained in the literature; namely, the results in this study concerning commodity ETFs versus stock indexes, plus previous research on stock indexes versus individual stocks, and the pricing of stock index options versus individual stock options. © 2013 Wiley Periodicals, Inc. Jrl Fut Mark 34:261–281, 2014     

Dependence between the global gold market and emerging stock markets (E7+1): Evidence from Granger causality using quantile and quantile‐on‐quantile regression methods

This study examined the dependence between gold and stocks during 2002–18 in seven emerging countries. The study combined the bivariate cross‐quantilogram introduced recently with quantile‐on‐quantile regression (QQR) approaches to conduct comprehensive and complementary analyses. The QQR results for the full sample revealed a weak positive dependence in all the quantiles of gold and stock returns across all the countries selected during mild market conditions. The results for pre and post‐crisis periods largely were consistent with those obtained for the full sample, except for Turkey (pre‐crisis), and China and Indonesia (post‐crisis). The results of the causality test‐in‐mean (return) and that of the causality test‐in‐variance revealed no causal relation between stock and gold in the pre‐crisis period, while causality ran only from gold to some stocks in the post‐crisis period. Further, while there was volatility causality running only from gold to stocks during the pre‐crisis period, the volatility causality between the two markets was very high during the post‐crisis period. Therefore, we suggest that gold may have been a hedge for stocks during the pre‐crisis compared to the post‐crisis period. Further, international risk factors should be considered in optimal investment decisions between domestic and global markets' assets (stocks and gold).     

Turnover and return in global stock markets

I study how growth affects liquidity of global stock exchanges and how liquidity determines cross-sectional returns on those stock exchange index portfolios. I measure portfolio liquidity by turnover ratio computed as value of shares traded over the market capitalization. I obtain data from FIBV, an association of global stock exchanges. In a multiple regression model for turnover ratio, I find age, size, type of exchange, competition for order flow, and growth rate to be significant determinants of portfolio liquidity; however, exchange- and time-specific effects are more appropriate for modeling portfolio liquidity. The time effects yield to three distinct regimes, while the exchange-specific effects are surrogates for the legal systems, English common law, and Civil laws of the countries. I estimate the parameters of a multiple regression model in a two-stage GLS framework in which index return is a function of turnover. The GLS method is preferable since a turnover ratio may have a non-stationary, random component. The significant determinants of index return are turnover and volatility, although some of the volatility effect may be a spillover from a January effect. Investors expect higher return from high turnover markets. However, the positive turnover expected return relation is true only in emerging markets; in developed markets expected return is a function of volatility. This result confirms existing empirical evidence that high turnover stock portfolios generate superior returns and further the sources and pricing of risk in emerging and developed markets are different.     

Volatility spillover and hedging effectiveness among China and emerging Asian Islamic equity indexes

We study the volatility spillover between China and Asian Islamic stock markets. We use a sample of six Islamic MSCI indices from the Asian region, namely China, India, Malaysia, Indonesia, Korea and Thailand obtained from MSCI (Morgan Stanley Capital International). In this paper we analyze the importance of considering spillover effects between emerging Asian Islamic indexes based on the Bivariate VARMA-BEKK-AGARCH model of McAleer et al. (2009), which includes spillover and asymmetric effects. We compute after the effectiveness of portfolio diversification based on the conditional volatility of returns series. Results show a significant positive and negative return spillover from China to selected Asian Islamic stock market and bidirectional volatility spillovers between China, Korea and Thailand Islamic market showing evidence of short-term predictability on Islamic Chinese stock market movements. However there is no short term volatility persistence in India, Indonesia and Malaysia. GARCH results show no persistence in volatility spillover effect in long term from Chinese to Indian, Indonesian and Korean Islamic stock market. Our findings are beneficial for international portfolio diversification for policy makers and investors since the results of portfolio management and hedging effectiveness ratio are different to previous studies.     

Foreign Equity Trading and Average Stock‐return Volatility

We examine whether there is a relationship between foreign equity trading and average total volatility, measured as the value‐weighted average of stock‐return variance in the Istanbul Stock Exchange. We employ foreign equity purchase and sale data to track changes in foreign equity trading, which not only enable us to capture effective foreign investor participation but also to observe the potential asymmetric effects of incoming and outgoing funds on the average total volatility. Consistent with the implications of the asymmetric information hypothesis, we find that net equity flow is positively associated with average total volatility. Furthermore, we show that net equity flow affects the average total volatility through the local and idiosyncratic volatilities, suggesting that foreign investors engage in the production of firm specific and market wide information.     

A Dynamic Volume–Return Relation and Investors' Positive Feedback Trading

With individual stocks, a larger increase in trading volume indicates a stronger short‐term return persistence. A reason for this short‐horizon ‘volume–return relation’ is that it can signal the existence of fundamental news, which can be gradually incorporated into stock price. In this study, we present another plausible explanation by considering investors' short‐term positive feedback trading. First, through empirical analysis, we show that the volume–return relation remains strong among stocks for which there is little fundamental news. Through a model‐based analysis, we demonstrate that positive feedback trading can cause this relation even when there is no news. Our findings raise the possibility that the short‐horizon volume–return relation is also caused by short‐term positive feedback trading.     

沪深300指数的ARCH效应

股价指数的收益率序列具有时变波动性、厚尾特征、波动性群集等特点,传统的计量分析无法刻画这些特点。通过对即将推出的股指期货的标的指数-沪深300指数的收益率序列进行AR-CH效应分析．采用ARCH模型及其扩展形式对沪深300指数的波动性进行实证分析,结果表明沪深300指数的收益率序列是有偏的,并具有尖峰厚尾的特点。同时也具有波动的群集性和不对称性的特点。     

Stock index futures trading and volatility in international equity markets

This article examines stock market volatility before and after the introduction of equity‐index futures trading in twenty‐five countries, using various models that account for asynchronous data, conditional heteroskedasticity, asymmetric volatility responses, and the joint dynamics of each country's index with the world‐market portfolio. We found that futures trading is related to an increase in conditional volatility in the United States and Japan, but in nearly every other country, we found either no significant effect or a volatility‐dampening effect. This result appears to be robust to model specification and is corroborated by further analysis of the relationship between volatility, trading volume, and open interest in stock futures. An increase in conditional covariance between country‐specific and world returns at the time of futures listing is also documented. © 2000 John Wiley & Sons, Inc. Jrl Fut Mark 20:661–685, 2000     

Modeling the conditional mean and variance of the short rate using diffusion,GARCH, and moving average models

This article introduces a two‐factor‐discrete‐time‐stochastic‐volatility model that allows for departures from linearity in the conditional mean and incorporates serially correlated unexpected news, asymmetry, and level effects into the definition of conditional volatility of the short rate. The new class of econometric specifications nests many popular existing symmetric and asymmetric GARCH as well as diffusion models of the short‐term interest rate. This study attempts to determine the correct specification of conditional mean and variance of the short rate by developing a more general econometric framework that allows for nonlinear effects in the drift of the short rate, and that defines the conditional volatility as a nonlinear function of unexpected information shocks and interest rate levels. The existing and alternative models are compared in terms of their ability to capture the stochastic behavior of the short‐term riskless rate. The empirical results indicate that the relative performance of the two‐factor models in predicting the future level and variance of interest‐rate changes is superior to the nested models. © 2000 John Wiley & Sons, Inc. Jrl Fut Mark 20:717–751, 2000     

The Term Structure of VIX

In this study, we extend the Chicago Board Options Exchange volatility index, VIX, from 30‐day to any arbitrary time‐to‐maturity, and study the term structure of VIX. We propose new concepts of instantaneous and long‐term squared VIXs as the limits at the short and long ends of the term structure respectively. Modeling the volatility process with instantaneous and long‐term squared VIXs, we establish a parsimonious approach to capture information contained in the term structure of VIX. Our study provides an efficient setup to further study the pricing of VIX derivatives and their relation with S&P 500 options.     

Volatility index and the return–volatility relation: Intraday evidence from Chinese options market

We use unique intraday data to investigate the validity of the Shanghai Stock Exchange's the revised Chinese implied volatility index (iVX). We find that iVX is an effective barometer for the underlying exchange-traded fund (ETF) market and can be used as a valid “fear index” when there is anxiety over large drops. Furthermore, we use robust quantile regressions and document the asymmetric relation between returns and iVX changes. We also show that behavioral theories offer better explanations for this asymmetric relation than do fundamental theories. More important, we examine the role of iVX in selecting trading strategies.     

我国股市非对称反应影响因素的实证分析

本文运用T-Garch-M模型对我国股票市场的特征风格指数和不同样本期的综合指数进行了实证分析,结果表明,市道(牛市或熊市)、市盈率高低、盈利状况(绩优或绩差)、股价高低和股票风格特征(价值股或成长股)等因素对我国股票市场信息非对称反应有显著影响,股票规模大小(盘子大小和市值大小)对非对称性反应的影响不显著。     

Regime‐switching in stock index and Treasury futures returns and measures of stock market stress

We investigate bivariate regime‐switching in daily futures‐contract returns for the US stock index and ten‐year Treasury notes over the crisis‐rich 1997–2005 period. We allow the return means, volatilities, and correlation to all vary across regimes. We document a striking contrast between regimes, with a high‐stress regime that exhibits a much higher stock volatility, a much lower stock–bond correlation, and a higher mean bond return. The high‐stress regime is associated with higher average values of stock‐implied volatility, stock illiquidity, and stock and bond futures trading volume. The lagged implied volatility from equity‐index options is useful in modeling the time‐varying transition probabilities of the regime‐switching process. Our findings support the notions that: (1) stock market stress can have a material influence on Treasury bond pricing, and (2) the diversification benefits of combined stock–bond holdings tend to be greater during times with relatively high stock market stress. © 2009 Wiley Periodicals, Inc. Jrl Fut Mark 30:753–779, 2010     

Nonlinear asymmetric models of the short‐term interest rate

This study introduces a generalized discrete time framework to evaluate the empirical performance of a wide variety of well‐known models in capturing the dynamic behavior of short‐term interest rates. A new class of models that displays nonlinearity and asymmetry in the drift, and incorporates the level effect and stochastic volatility in the diffusion function is introduced in discrete time and tested against the popular diffusion, GARCH, and level‐GARCH models. Based on the statistical test results, the existing models are strongly rejected in favor of the newly proposed models because of the nonlinear asymmetric drift of the short rate, and the presence of nonlinearity, GARCH, and level effects in its volatility. The empirical results indicate that the nonlinear asymmetric models are better than the existing models in forecasting the future level and volatility of interest rate changes. © 2006 Wiley Periodicals, Inc. Jrl Fut Mark 26:869–894, 2006     

Asymmetric pricing of implied systematic volatility in the cross‐section of expected returns

Assuming a symmetric relation between returns and innovations in implied market volatility, Ang, A., Hodrick, R., Xing, Y., and Zhang, X. (2006) find that sensitivities to changes in implied market volatility have a cross‐sectional effect on firm returns. Dennis, P., Mayhew, S., and Stivers, C. (2006), however, find an asymmetric relation between firm‐level returns and implied market volatility innovations. We incorporate this asymmetry into the cross‐sectional relation between sensitivity to volatility innovations and returns. Using both portfolio sorting and firm‐level regressions, we find that sensitivity to VIX innovations is negatively related to returns when volatility is rising, but is unrelated when it is falling. The negative relation is robust to controls for other variables, suggesting only the increase in implied market volatility is a priced risk factor. © 2010 Wiley Periodicals, Inc. Jrl Fut Mark 31:34–54, 2011     

Intraday price discovery and volatility transmission in stock index and stock index futures markets: Evidence from China

Using high‐frequency data, this study investigates intraday price discovery and volatility transmission between the Chinese stock index and the newly established stock index futures markets in China. Although the Chinese stock index started a sharp decline immediately after the stock index futures were introduced, the cash market is found to play a more dominant role in the price discovery process. The new stock index futures market does not function well in its price discovery performance at its infancy stage, apparently due to high barriers to entry into this emerging futures market. Based on a newly proposed theoretically consistent asymmetric GARCH model, the results uncover strong bidirectional dependence in the intraday volatility of both markets. © 2011 Wiley Periodicals, Inc. Jrl Fut Mark     

Factors explaining movements in the implied volatility surface

This article explores the relationship of changes in the S&P 500 index implied volatility surface to economic state variables. Observable variables can explain some of the variation in implied volatility, with the majority of explanatory power from index returns. Although the contemporaneous return is most important for explaining changes in short dated volatility, the path of the index is important for explaining changes in long dated volatility. Other variables also display statistically significant relations to volatility changes. Shocks to the Nikkei 225, short‐term interest rates, and the corporate/government bond yield spread are correlated with small, systematic changes in implied volatility. The results suggest a multifactor model for market volatility, with factors other than index returns adding negligible explanatory ability. © 2002 Wiley Periodicals, Inc. Jrl Fut Mark 22:915–937, 2002     

Wealth‐to‐Income Ratio and Stock Market Movements: Evidence from a Nonparametric Causality Test

We use a nonparametric causality‐in‐quantile test to analyze the predictive ability of the wealth‐to‐income ratio (wy) for excess stock returns and their volatility. Our results reveal that the wy is nonlinearly related with excess stock returns, and hence, results from linear Granger causality tests cannot be deemed robust. When we apply the nonparametric causality‐in‐quantile test, we find that the wy can predict excess stock returns over the majority of the conditional distribution, with the exception being the extreme ends, that is, when the market is in deep bear or bull phases. However, the wy has no predictability for the volatility of excess stock returns.