Intertemporal arbitrage pricing theory

It is shown that the arbitrage pricing theory holds in eachinfinitesimal period of a continuous trading model under theassumption that dividend payoffs are functionals of factor andidiosyncratic uncertainty. This generalizes the one- periodmodel's result that the arbitrage pricing theory holds underthe assumption that price changes in a given period satisfya factor structure. Since instantaneous returns in a multiperiodmodel are endogenously determined, the theory is derived underassumptions that may be viewed as restricting more primitivecharacteristics of the economy than the assumptions made forthe one-period model.     

Measuring the pricing error of the arbitrage pricing theory

This article provides an exact Bayesian framework for analyzingthe arbitrage pricing theory (APT). Based on the Gibbs sampler,we show how to obtain the exact posterior distributions forfunctions of interest in the factor model. In particular, wepropose a measure of the APT pricing deviations and obtain itsexact posterior distribution. Using monthly portfolio returnsgrouped by industry and market capitalization, we find thatthere is little improvement in reducing the pricing errors byincluding more factors beyond the first one.     

Liquidity risk and arbitrage pricing theory

Classical theories of financial markets assume an infinitely liquid market and that all traders act as price takers. This theory is a good approximation for highly liquid stocks, although even there it does not apply well for large traders or for modelling transaction costs. We extend the classical approach by formulating a new model that takes into account illiquidities. Our approach hypothesizes a stochastic supply curve for a securitys price as a function of trade size. This leads to a new definition of a self-financing trading strategy, additional restrictions on hedging strategies, and some interesting mathematical issues.Received: 1 November 2003, Mathematics Subject Classification: 60G44, 60H05, 90A09JEL Classification: G11, G12, G13Umut Çetin: This work was performed while Dr. Çetin was at the Center for Applied Mathematics, Cornell UniversityPhilip Protter: Supported in part by NSF grant DMS-0202958 and NSA grant MDA-904-03-1-0092 The authors wish to thank M. Warachka and Kiseop Lee for helpful comments, as well as the anonymous referee and Associate Editor for numerous helpful suggestions, which have made this a much improved paper.     

Preferences, continuity, and the arbitrage pricing theory

This article investigates the structure on preferences requiredto derive Ross's arbitrage pricing theory (APT). It is shownthat only ordinal preferences are required. In particular, theAPT does not require that agents possess preferences representableas risk-averse expected utility functions. This characteristicof the APT is not shared by the standard equilibrium-based capitalasset pricing models.     

Option pricing under short-lived arbitrage: theory and tests

Models in financial economics derived from no-arbitrage assumptions have found great favour among theoreticians and practitioners. We develop a model of option prices where arbitrage is short lived. The arbitrage process is Ornstein–Uhlenbeck with zero mean and rapid adjustment of deviations. We find that arbitrage correlated with the underlying can have sizeable impact on option prices. We use data from five large capitalization firms to test implications of the model. Consistent with the existence of arbitrage, we find that idiosyncratic factors significantly effect arbitrage model parameters.     

A note on factor analysis and arbitrage pricing theory

This paper examines some theoretical and empirical properties of factor analysis and spells out their implications for Arbitrage Pricing Theory (APT). Doubts on the appropriateness of conventional factor analytic procedures for testing APT are raised on theoretical as well as empirical grounds.     

Deriving the arbitrage pricing theory when the number of factors is unknown

This paper examines the use of proxies (or reference variables) for the true factors in the arbitrage pricing theory (APT). It generalizes other authors' existing work and shows that, when there are more reference variables than the true factors, the APT still holds. The possibility of fewer reference variables than the true factors is also considered, but the APT is not shown to hold, in the same sense, for this case. This work builds on an earlier paper by Ingersoll (Ingersoll J 1984 J. Finance 39 1021-39), and our propositions can be thought of as specializations of his theorems. Similar to Nawalkha (Nawalkha S 1997 J. Financial Economics 46 357-81), our work does not use the mathematics of Hilbert and Banach spaces and, thus, is open to a much wider audience. The practical implication of our results is that model builders should be generous with the number of factors they use, as excessively parsimonious models suffer from inaccuracy.     

Multivariate regression tests of the arbitrage pricing theory: The instrumental-variables approach

This article expands the theoretical basis upon which empirical testing of the arbitrage pricing theory (APT) rests. Specifically, it specifies linear restrictions for worlds in which the APT holds. These restrictions may, in principle, be tested. Since the regressors in the model are only “noisy” proxies for a specific linear transformation of the factors or mimicking portfolios, testing regressions suffer from an errors-in-variables problem. The standard econometric treatment for this problem is the instrumental-variables approach. A size-based example is employed to compare the test results derived from the instrumental-variables approach to those obtained via the ordinary least squares (OLS) method. The results from both methods cannot reject a two-factor APT for the size-sorted portfolio sample. The authors appreciate the helpful comments of Edwin Burmeister, Raymond Chiang, Steve Pruitt, participant at the 1989 Western Finance Association annual meetings, Indiana University, and University of Miami, and especially Shmuel Kandel.     

An empirical examination of the effect of dividend taxation on asset pricing and returns in Germany

This research finds evidence that required pretax returns on German stocks are unchanged as a result of the enactment of a law in Germany providing shareholders with tax credits for dividends received. In the most recent time interval, higher risk-adjusted pretax returns are discovered on high-yielding German stocks. These findings imply that the effect of the tax credits has been more than offset by other factors.     

Exchange risk and universal returns: A test of international arbitrage pricing theory

According to the international arbitrage pricing theory (IAPT) posited by Solnik (1983), currency movements affect assets' factor loadings and associated risk premiums. Based on a novel universal return decomposition, we propose an empirical model to test this proposition and perform tests using U.S. stock returns in the period 1975–2008. Our results confirm that currency movements significantly affect the market betas of a large proportion of stocks. Further cross-sectional tests indicate that currency movements affecting the market factor are significantly priced in stock returns. Based on these and other findings, we conclude that Solnik's IAPT is supported. An important implication of our findings is that exchange rate risk can broadly affect stock returns through both factor loading and residual factor channels.     

Exchange risk and universal returns: A test of international arbitrage pricing theory

According to the international arbitrage pricing theory (IAPT) posited by Solnik (1983), currency movements affect assets' factor loadings and associated risk premiums. Based on a novel universal return decomposition, we propose an empirical model to test this proposition and perform tests using U.S. stock returns in the period 1975–2008. Our results confirm that currency movements significantly affect the market betas of a large proportion of stocks. Further cross-sectional tests indicate that currency movements affecting the market factor are significantly priced in stock returns. Based on these and other findings, we conclude that Solnik's IAPT is supported. An important implication of our findings is that exchange rate risk can broadly affect stock returns through both factor loading and residual factor channels.     

An empirical investigation of international asset pricing

We investigate several asset pricing models in an internationalsetting. We use data on a large number of assets traded in theUnited States, Japan, the United Kingdom, and France. The modeltogether with the hypothesis of capital market integration implytestable restrictions on multivariate regressions relating assetreturns to various benchmark portfolios. We find that multifactormodels tend to outperform single-index models in both domesticand international forms especially in their ability to explainseasonality in asset returns. We also find that the behaviorof the models is affected by change in the regulatory environmentin international markets.     

Rating model arbitrage in CDO markets: An empirical analysis

We analyze whether information asymmetry between issuers and investors leads to rating model arbitrage in Collateralized Debt Obligation markets. Rating model arbitrage is defined as the issuer's deliberate capitalization of information asymmetry at the investor's cost on the basis of different rating processes. Using data from CDO transactions grouped by both rating agencies and underlying rating methodologies, we test for homogeneity of characteristic transaction features within the group and heterogeneity between the different groups. We find that the hypothesis stating non-existence of rating model arbitrage on the basis of information asymmetry does not hold as individual patterns of transaction characteristics within each group could be identified.     

An empirical comparison of GARCH option pricing models

Recent empirical studies have shown that GARCH models can be successfully used to describe option prices. Pricing such contracts requires knowledge of the risk neutral cumulative return distribution. Since the analytical forms of these distributions are generally unknown, computationally intensive numerical schemes are required for pricing to proceed. Heston and Nandi (2000) consider a particular GARCH structure that permits analytical solutions for pricing European options and they provide empirical support for their model. The analytical tractability comes at a potential cost of realism in the underlying GARCH dynamics. In particular, their model falls in the affine family, whereas most GARCH models that have been examined fall in the non-affine family. This article takes a closer look at this model with the objective of establishing whether there is a cost to restricting focus to models in the affine family. We confirm Heston and Nandi's findings, namely that their model can explain a significant portion of the volatility smile. However, we show that a simple non affine NGARCH option model is superior in removing biases from pricing residuals for all moneyness and maturity categories especially for out-the-money contracts. The implications of this finding are examined. JEL Classification G13     

An empirical test of the variance gamma option pricing model

In this paper, we test the three-parameter symmetric variance gamma (SVG) option pricing model and the four-parameter asymmetric variance gamma (AVG) option pricing model empirically. Prices of the Hang Seng Index call options, which are of European style, are used as the data for the empirical test. Since the variance gamma option pricing model is developed for the pricing of European options, the empirical test gives a more conclusive answer than previous papers, which used American option data to the applicability of the VG models. The present study uses a large number of intraday option data, which span over a period of 3 years. Synchronous option and futures data are used throughout the study. Pairwise comparisons between the accuracy of model prices are carried out using both parametric and nonparametric methods.The conclusion is that the VG option pricing model performs marginally better than the Black–Scholes (BS) model. Under the historical approach, the VG models can moderately iron out some of the systematic biases inherent in the BS model. However, under the implied approach, the VG models continue to exhibit predictable biases and its overall performance in pricing and hedging is still far less than desirable.     

An empirical examination of jump risk in asset pricing and volatility forecasting in China's equity and bond markets

Understanding jump risk is important in risk management and option pricing. This study examines the characteristics of jump risk and the volatility forecasting power of the jump component in a panel of high-frequency intraday stock returns and four index returns from Shanghai Stock Exchange. Across portfolio indexes, jump returns on average account for 45% to 64% of total returns when jumps occur. Market systematic jump risk is an important pricing factor for daily returns. The average jump beta is 62% of the average continuous beta for individual stocks. However, the contribution of jump risk to total risk is limited, indicating that statistically significant jumps in the stochastic process of asset price are rare events but have tremendous impacts on the prices of common stocks in China. We further document that accounting for jump components improves the performance of volatility forecasting for some equity and bond portfolios in China, which is confirmed by in-the-sample and out-of-sample forecasting performance analysis.     

An empirical examination of the benefits of international diversification

We examine the benefits of international portfolio diversification for U.K. investors between January 1985 and December 2000 using the approach of Wang [Wang, Z., 1998. Efficiency loss and constraints on portfolio holdings. Journal of Financial Economics 48, 359–375] and Li et al. [Li, K., Sarkar, A., Wang, Z., 2003. Diversification benefits of emerging markets subject to portfolio constraints. Journal of Empirical Finance 10, 57–80]. We find significant increases in the Sharpe [Sharpe, W.F., 1966. Mutual fund performance. Journal of Business 39, 119–138] and certainty equivalent return (CER) performance in moving from a domestic strategy to an international strategy that includes either global industry or country equity portfolios, even in the presence of short selling restrictions. We also find significant diversification benefits using U.K. unit trusts with international equity objectives. However, U.K. international unit trusts do not capture all the diversification benefits provided by either global industry or country equity portfolios.     

Nonlinear market liquidity: An empirical examination

We offer novel indicators of market-wide liquidity. Previous literature uses averages of individual liquidity indicators to track the evolution of market-wide liquidity. Instead, we focus on the tails of the market liquidity distribution. First, we construct aggregate liquidity indicators using low and high quantiles of six liquidity measures (total volume, number of trades, effective spread, realized spread, price impact and lambda). Our results show that market conditions have an asymmetric impact on the tails of the liquidity distribution. In the second part of the study, we test for nonlinearity of the effects of market determinants on market liquidity.     

An empirical analysis of the determinants and pricing of corporate bond clawbacks

This paper presents empirical analysis of the factors that affect a firm's decision to use a clawback provision in debt and the yield impact of including the clawback provision. The results show that relatively smaller firms with low credit rating and low profitability favor the usage of clawback provisions. We also find that debt with clawback provisions have the highest yield spread followed by callable bonds and straight debt. Convertible bonds that offer investors the option to convert to equity have lower yield spread. This implies that issuers can trade off flexibility for higher interest cost and that the clawback feature may be a significant financial innovation which reduces information asymmetry and creates an entry point for small firms to gain access to the public bond markets.     

An empirical study of voluntary transfer pricing disclosures in China

This paper empirically investigates the factors that affect the management’s voluntary disclosures of the transfer pricing details of related-party transactions. Using Chinese data from 2004 and 2005, we hypothesize and find that firms that make voluntary disclosures of the pricing methods of related-party transactions are negatively associated with (i) a higher level of earnings management (as captured by abnormal related-party transactions) and (ii) its underlying incentives (as captured by the management’s performance-linked bonuses and the firm’s incentives to achieve earnings targets); further, they are positively associated with (i) a higher percentage of independent directors and (ii) a higher percentage of government ownership. Overall, our findings suggest that earnings management and its incentives, board composition, and ownership structure significantly influence the voluntary disclosure decisions of managers.