Liquidity biases in asset pricing tests

Microstructure noise in security prices biases the results of empirical asset pricing specifications, particularly when security-level explanatory variables are cross-sectionally correlated with the amount of noise. We focus on tests of whether measures of illiquidity, which are likely to be correlated with the noise, are priced in the cross-section of stock returns, and show a significant upward bias in estimated return premiums for an array of illiquidity measures in Center for Research in Security Prices (CRSP) monthly return data. The upward bias is larger when illiquid securities are included in the sample, but persists even for NYSE/Amex stocks after decimalization. We introduce a methodological correction to eliminate the biases that simply involves weighted least squares (WLS) rather than ordinary least squares (OLS) estimation, and find evidence of smaller, but still significant, return premiums for illiquidity after implementing the correction.     

The unintended consequences of grouping in tests of asset pricing models

We identify a number of unintended consequences of grouping when the capital asset pricing model is true and when it is false. When the model is true, grouping may cause fundamental problems with the most basic capital asset pricing and cross-sectional regression relationships. For example, with traditional grouping, the market portfolio is super-efficient––unless securities in each group are value weighted. Yet, when the model is grossly false, grouping may cause the model to appear to be absolutely correct. Ironically, the only way this can occur is when securities in each group are value weighted. To make matters worse, when the model is false, the slope of a cross-sectional regression of expected returns on betas fitted to grouped data may be either steeper or flatter than when the regression is fitted to ungrouped data. In other words, grouping may exacerbate the very problem it was meant to alleviate.     

The characteristics of informed trading: Implications for asset pricing

This paper investigates the linkage of microstructure, accounting, and asset pricing. We determine the relationship between firm characteristics as captured by accounting and market data and a firm's probability of private information-based trade (PIN) as estimated from trade data. This allows us to determine what types of firms have high information risk. We then use these data to create an instrument for PIN, the PPIN, which we can estimate from firm-specific data. We show that PPINs have explanatory power for the cross-section of asset returns in long sample tests. We also investigate whether information risk vitiates the influence of other variables on asset returns. We develop a PPIN factor and show that it dominates the Amihud factor in asset returns. Our results provide strong support for information risk affecting asset returns in long sample tests.     

Heterogeneous time varying transaction costs and asset pricing in international equity markets

In this paper, we examine the time variation in transaction costs relative to excess returns, in a panel consisting of 10 international equity indices over the time period 1984–2005. This is undertaken by extending the consumption CAPM (CCAPM) model proposed by Campbell and Shiller (Rev. Financ. Stud. 1:195–228, 1988) to incorporate time varying proportional transaction costs. We rigorously address both the cross-country heterogeneity in the estimated model and endogeneity. We find strong evidence that suggests transaction costs should be included as an additional explanatory variable in the CCAPM. This leads to the conclusion that transaction costs should be included in asset pricing models as their stochastic process impacts directly on private consumption expenditure.

Extending the capital asset pricing model: the reward beta approach

This paper offers an alternative method for estimating expected returns. The proposed reward beta approach performs well empirically and is based on asset pricing theory. The empirical section compares this approach with the capital asset pricing model (CAPM) and the Fama–French three‐factor model. In out‐of‐sample testing, both the CAPM and the three‐factor model are rejected. In contrast, the reward beta approach easily passes the same test. In robustness checks, the reward beta approach consistently outperforms both the CAPM and the three‐factor model.     

Tax liens: a novel application of asset pricing theory

Although relatively obscure, the market for distressed real estate tax liens exists in over 30 U.S. states, with a market size estimated to be around 20 billion dollars. While this niche asset class is relatively unknown to academics, internet advertising hypes tax liens to the populace as providing extraordinary returns. Not yet scientifically studied, this market provides a fertile and untouched arena for the application of asset pricing theory. Using insights from several areas of asset pricing, we formulate and test a pricing model for tax liens. The empirical evidence supports the pricing model, the (increasing) competitiveness of the tax lien market, and an unfair tax auction bidding mechanism for property owners that may provide extraordinary returns to investors, lending some credibility to the industry claims. We suggest avenues for extensions and further research.     

Shaking the tree: an agency-theoretic model of asset pricing

Summary. In this paper, we develop an agency-theoretic extension of the Lucas asset pricing model and examine the resulting asset price dynamics. In the model, an agent of the firm can expand or contract the firms output and dividend payments in response to exogenous shocks, although expansions become increasingly costly for the agent to maintain. Analysis of numerical simulations shows that the time-series of equilibrium asset prices exhibits both significant time-varying conditional heteroskedasticity, and longer memory persistence.We would like to thank Beth Shorish for her patience and guidance during this project, as well as conference participants at the 1998 North American Econometric Society Summer Meetings, Montreal, and the 53rd Econometric Society European Meetings, Berlin for their many useful comments.     

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.

A best choice among asset pricing models? The Conditional Capital Asset Pricing Model in Australia

We use Australian data to test the Conditional Capital Asset Pricing Model (Jagannathan and Wang, 1996). Our results are generally supportive: the model performs well compared with a number of competing asset pricing models. In contrast to the study by Jagannathan and Wang, however, we find that the inclusion of the market for human capital does not save the concept of the time‐independent market beta (it remains insignificant). We find support for the role of a small‐minus‐big factor in pricing the cross‐section of returns and find grounds to disagree with Jagannathan and Wang's argument that this factor proxies for misspecified market risk.     

Tangibility and investment irreversibility in asset pricing

Zhang (2005) and Cooper (2006) provide a theoretical risk‐based explanation for the value premium by suggesting a nexus between firms’ book‐to‐market ratio and investment irreversibility. They argue that unproductive physical capacity is costly in contracting conditions but provides growth opportunities during economic expansions, resulting in covariant risk between firms’ investment in tangible assets and market‐wide returns. This article uses the Australian accounting environment to empirically test this theory – a test that is not possible using US data. Consistent with the theoretical argument, tangibility is priced in equity returns, and augmenting the Fama and French three‐factor model with a tangibility factor increases model explanatory power.     

Investment barriers and international asset pricing

In this article a multicountry model of international asset pricing is developed. This model incorporates a more general representation of the degree of segmentation in the international capital market. Specifically,N types of investors andN classes of securities are postulated. In general, thenth (n=1, 2, 3, ...N) type of investor has access to all security markets up to and including thenth class. Using the standard mean-variance framework, closed form equilibrium risk return relationships are obtained for all classes of securities. It is also shown that class 1 securities are priced as if markets are integrated, classn (n=2, 3 ...N) securities commandn different risk premia. Finally, the nature of the model specification allows us to investigate the effects of partial integration on investor welfare. It is shown that, in general, all investors prefer full integration to any form of partial integration.     

Cash, investments and asset returns

We use an investment-based asset pricing model to examine the effect of firms’ investments relative to cash holdings on stock returns, assuming holding cash lowers transaction costs. We find that mimicking portfolios based on investments relative to non-cash capital and based on investments relative to cash capital are priced for various testing portfolios. On average, momentum stocks and growth stocks are more sensitive to the factor constructed using investment relative to cash.     

Asset pricing under information with stochastic volatility

Based on a general specification of the asset specific pricing kernel, we develop a pricing model using an information process with stochastic volatility. We derive analytical asset and option pricing formulas. The asset prices in this rational expectations model exhibit crash-like, strong downward movements. The resulting option pricing formula is consistent with the strong negative skewness and high levels of kurtosis observed in empirical studies. Furthermore, we determine credit spreads in a simple structural model.      

Capital gains tax and the capital asset pricing model

This paper develops a version of the Capital Asset Pricing Model that views dividend imputation as affecting company tax and assumes differential taxation of capital gains and ordinary income. These taxation issues aside, the model otherwise rests on the standard assumptions including full segmentation of national capital markets. It also treats dividend policy as exogenously determined. Estimates of the cost of equity based on this model are then compared with estimates based on the version of the CAPM typically applied in Australia, which differs only in assuming equality of the tax rates on capital gains and ordinary income. The differences between the estimates can be material. In particular, with a high dividend yield, allowance for differential taxation can result in an increase of two to three percentage points in the estimated cost of equity. The overall result obtained here carries over to a dividend equilibrium, in which firms choose a dividend policy that is optimal relative to the assumed tax structure.     

The spirit of capitalism, asset pricing and growth in a small open economy

Conventional models of economic behavior have failed to account for a number of observed empirical regularities in macroeconomics and international economics. This may be due to preference specifications in conventional models. In this paper, we consider preferences with the “spirit of capitalism” (the desire to accumulate wealth as a way of acquiring status). We analyze a number of potential effects of international catching-up and the spirit of capitalism on savings, growth, portfolio allocation and asset pricing. Moreover, we obtain a multi-factor Capital Asset Pricing Model (CAPM). Our results show that status concerns have non-trivial effects on savings, growth, portfolio allocation, asset prices and the foreign exchange risk premium.     

Information and capital asset pricing

Investors in a market frequently update their diverse perceptions of the values of risky assets, thus invalidating the classic capital asset pricing model's (CAPM) assumption of complete agreement among investors. To accommodate information asymmetry and belief updating, we have developed an empirically testable information-adjusted CAPM, which states that the expected excess return of a risky asset/portfolio is solely determined by the information-adjusted beta rather than the market beta. The model is then used to analyze empirical anomalies of the classic CAPM, including a flatter relation between average return and the market beta than the CAPM predicts, a non-zero Jensen's alpha, insignificant explanatory power of the market beta, and size effect.     

Production-based measures of risk for asset pricing

A stochastic discount factor for asset returns is recovered from equilibrium marginal rates of transformation inferred from producers’ first-order conditions. The marginal rate of transformation implies a novel macro-factor asset pricing model that does a reasonable job explaining the cross-sectional variation in average stock returns with plausible parameter values. Using a flexible representation of firms’ production technology, producers’ ability to transform output across states of nature is estimated to be high, in contrast with what is typically assumed in standard aggregate representations of firms’ production technology.     

Size and book to market effects and the Fama French three factor asset pricing model: evidence from the Australian stockmarket

The present study adds to the sparse published Australian literature on the size effect, the book to market (BM) effect and the ability of the Fama French three factor model to account for these effects and to improve on the asset pricing ability of the Capital Asset Pricing Model (CAPM). The present study extends the 1981–1991 period examined by Halliwell, Heaney and Sawicki (1999) a further 10 years to 2000 and addresses several limitations and findings of that research. In contrast to Halliwell, Heaney and Sawicki the current study finds the three factor model provides significantly improved explanatory power over the CAPM, and evidence that the BM factor plays a role in asset pricing.     

Explaining asset pricing puzzles associated with the 1987 market crash

The 1987 market crash was associated with a dramatic and permanent steepening of the implied volatility curve for equity index options, despite minimal changes in aggregate consumption. We explain these events within a general equilibrium framework in which expected endowment growth and economic uncertainty are subject to rare jumps. The arrival of a jump triggers the updating of agents' beliefs about the likelihood of future jumps, which produces a market crash and a permanent shift in option prices. Consumption and dividends remain smooth, and the model is consistent with salient features of individual stock options, equity returns, and interest rates.     

A computational study on general equilibrium pricing of derivative securities

This paper analyses the accuracy of replicating portfolio methods in predicting asset prices. In a two-period, general equilibrium model with incomplete financial markets and heterogeneous agents, a computational study is conducted under various distributional assumptions. The focus is on the price of a call option on an underlying risky asset. There is evidence that the value of the (approximate) replicating portfolio is a good approximation for the general equilibrium price for CRRA preferences, but not for CARA preferences. Furthermore, there is strong evidence that the introduction of the call option reduces market incompleteness, but that the price of the underlying asset is unchanged. There is, however, inconclusive evidence on the welfare effects of the option. The author thanks Dolf Talman, Andrew Somerville, an anonymous referee, and an Associate Editor for helpful comments. Research funding from the Irish Research Council for the Humanities and Social Sciences is gratefully acknowledged.