Modeling Conditional Skewness in Stock Returns

Abstract

In this paper, we propose a new GARCH-in-Mean (GARCH-M) model allowing for conditional skewness. The model is based on the so-called z distribution capable of modeling skewness and kurtosis of the size typically encountered in stock return series. The need to allow for skewness can also be readily tested. The model is consistent with the volatility feedback effect in that conditional skewness is dependent on conditional variance. Compared to previously presented GARCH models allowing for conditional skewness, the model is analytically tractable, parsimonious and facilitates straightforward interpretation.Our empirical results indicate the presence of conditional skewness in the monthly postwar US stock returns. Small positive news is also found to have a smaller impact on conditional variance than no news at all. Moreover, the symmetric GARCH-M model not allowing for conditional skewness is found to systematically overpredict conditional variance and average excess returns.     

The pricing of sentiment risk in European stock markets

This paper studies whether sentiment is rewarded with a significant risk premium in the European stock markets. We examine several sentiment proxies and identify the Economic Sentiment Indicator from the EU Commission as the most relevant sentiment proxy for our sample. The analysis is performed for the contemporaneous excess returns of EA-11 stock markets in the period from February 1999 to September 2015. We apply a conditional multi-beta pricing model in order to track the variation of the sentiment risk premium over time. The results demonstrate a positive significant relationship between sentiment and contemporaneous excess returns which is consistent with previous studies. The calculated sentiment risk premium is significant as well but negative implying that an investment in EA-11 countries over the examined time period – that is bearing sentiment risk – would have been unattractive to the investors on average.     

Financial Integration of Large- and Small-Cap Stocks in Emerging Markets

This study examines the financial integration of large- and small-cap stocks in twenty-three emerging markets to determine their degree of market integration with the world market. The international asset pricing model cannot be rejected for most large-cap stock portfolios, but it is rejected for small-cap stock portfolios. The findings also demonstrate that super-large-cap stocks have the fewest pricing errors and their global financial integration has increased in recent years. In sum, the empirical results indicate that global market integration is primarily associated with the super-large-cap stocks of large emerging markets.     

Does the Conditional CAPM Work? Evidence from the Istanbul Stock Exchange

Using a sample of common stocks traded on the Istanbul Stock Exchange from February 1997 to April 2008, we test whether the conditional capital asset pricing model (CAPM) accurately prices assets. In our empirical analysis, we closely follow the methodology introduced in Lewellen and Nagel (2006). Our results show that the conditional CAPM fares no better than the static counterpart in pricing assets. Although market betas do vary significantly over time, the intertemporal variation is not large enough to drive average conditional alphas to zero.     

Evaluating international consumption risk sharing gains: An asset return view

International consumption risk sharing studies often generate counterfactual implications for asset return behavior with potentially misleading results. We address this contradiction using data moments of consumption and asset returns to fit a canonical international consumption risk sharing framework. Introducing persistent consumption risk, we find that its correlation across countries is more important for risk sharing than that of transitory risk. To identify these risk components, we jointly exploit the comovement of equity returns and consumption. This identification implies high correlations in persistent consumption risk, suggesting a strong degree of existing risk sharing despite low consumption correlations in the data.     

资产定价:理论演进及应用研究

资产定价理论是现代金融理论的核心.本文通过对资产定价理论的综述,揭示了从传统资产定价理论到行为资产定价理论的演进脉络,并对各理论及相应模型的内涵和应用进行了描述,最后对传统资产定价理论和行为资产定价理论进行了比较,以期对我国金融理论和实践的发展有所帮助.     

Arbitrage violations and implied valuations: the option market

The ideas presented in this paper are those of the authors and not necessarily reflect the views of the National bank of Canada. Both authors thank the National Bank of Canada and the SSHRC of Canada for their help. Thanks are also due to Professor Y. Tian for his comments, and for participating, together with students of the Financial Engineering program at York University, in the data preparation and the execution of the Matlab programs. In this paper, we propose a necessary and sufficient condition for bid and ask prices of European options to be free of arbitrage, and derive from it an efficient numerical methodology to determine its satisfaction by a given set of prices. If the bid and ask prices satisfy the no-arbitrage (NA) condition, our methodology produces a vector of NA prices that lie between the bid and ask prices. Otherwise, our methodology generates a vector of arbitrage-free prices that is as close as possible, in some sense, to the bid–ask strip. The arbitrage-free prices detected by our methodology render the commonly used practice of using mid-points and then ‘cleaning’ arbitrage from them as unnecessary. Moreover, a vector of ‘cleaned’ prices obtained from mid-point prices may be outside the bid–ask spread even in an arbitrage-free market and, hence, in this case will not be representative of the current market. A new procedure of estimating implied valuation operators is also suggested here. This procedure is rooted in the economic properties of put and call prices and is based on Phillips and Taylor's approximation of a convex function. This approach is superior to common estimation techniques in that it produces an analytical expression for the implied valuation operator and is not data intensive as some other studies. Empirical findings for the new methods are documented and their economic implications are discussed.     

Common Volatility: An Empirical Investigation of Closed-End Country Funds

The study of international integration of equity markets has received a great deal of interest. This paper investigates whether returns of forty-one closed-end country funds share a common volatility process with three comparable return series: the underlying net asset value (NAV), U.S. stock market returns, and foreign stock market returns. Country funds are a natural setting to test for international market integration, as they are traded in the U.S. market, whereas their underlying assets are traded in foreign stock markets. Our results indicate that only a few emerging markets' country funds share common volatility processes with their comparable asset returns. This, in turn, suggests weak linkages through the second moment of related assets.     

Dual-listings on international exchanges: the case of emerging markets' stocks

This paper examines the effects on stock returns of dual-listing on an international exchange. My sample consists of 70 firms from 10 emerging markets that dual-listed on the NYSE, NASDAQ and SEAQ-I (London) over the period 1991–1995. I evaluate whether an international dual-listing has any significant effect on returns, for the particular case of emerging markets' firms, and I proceed to investigate whether there is evidence to support an International Asset Pricing based explanation. In addition I compare the impact of US and London SEAQ-I listings. My results confirm previous empirical findings on international listings: the firms in my sample experience significant positive abnormal returns before listing and a significant decline in returns following listing. Evidence seems to be supportive of the segmentation hypothesis: dual-listing effects are more pronounced for emerging markets' listings and that pattern is similar across exchanges.
G15     

Market segmentation and the valuation of closed-end country funds: An empirical analysis

This article examines the role of market segmentation on the valuation of the U.S. stock exchange-listed closed-end country funds and analyzes the determinants of net fund premia in a multivariate context. It is shown that fund returns are generally sensitive to both national and U.S. market factors, but only national factors are priced. Cross-section and time series estimation of net fund premia indicates the importance of market segmentation as a determinant of net fund premia. There is some evidence that exchange rate changes may exert an additional influence. However, market expectation variables such as economic growth of the country or relative capitalization rates are insignificant.     

Market Segmentation and Foreign Share Discount in China

In this paper, I formulate and test a one-period capital asset pricing model under ownership restrictions to explain the price differentials between the classes of shares that can be bought by Chinese citizens and by foreign investors, respectively. I find that time-series variability in the spread between domestic and foreign share returns is consistent with differences in risk exposures and expected risk premium, thus supporting the hypothesis of effective market segmentation and price discrimination. I also find that cross-sectional differences between domestic and foreign share returns are correlated with individual shares'; market betas. The result further supports the price discrimination hypothesis.     

Financial integration and the price of world covariance risk: Large- vs. small-cap stocks

We investigate whether recent country-level evidence of global pricing is particular to large-cap stocks. Specifically, we examine cross-country return correlations and conduct asset pricing tests on three size-based stock portfolios for nine developed countries over the period from 1980 to 2004. We find that large-cap stocks realize significant comovements across countries, whereas small-cap stocks realize smaller average correlations (relative to both large-cap stocks and small-cap stocks across countries). More important, asset pricing tests suggest that while large-cap stocks are priced globally, global pricing is rejected for most small-cap stocks. Finally, the evidence indicates that financial integration deepened in recent years primarily for large-cap stocks. Overall, the results suggest that the global pricing pertains chiefly to large-cap stocks.     

C-CAPM Refinements and the Cross-Section of Returns

This paper studies if the consumption-based asset pricing model can explain the cross-section of expected returns. The CRRA model and several refinements (habit persistence and idiosyncratic shocks) all imply that the conditional expected return is linearly increasing in the asset’s conditional covariance with consumption growth. Results from quarterly data on the 25 Fama-French portfolios suggest that the model has serious problems: there are large and systematic pricing errors. In addition, the estimated time-varying effective risk aversion coefficients appear implausible and are unrelated with most candidates for habit persistence and idiosyncratic risk.     

The impact of exchange rate risk on international asset pricing under various market structures

This article derives international equity pricing relations by taking into account inflationary exchange risk under various forms of market segmentation/integration. In a mean-variance framework, a two-country, two-period, two-goods model is analyzed under three different market structures: segmented, mildly segmented and integrated. It is found that as long as investors are consuming imported goods, in the presence of market frictions, inflationary exchange risk is an important determinant of real equity prices. This is the case because inflationary exchange rate affects the real purchasing power of investors.