mimicking portfolios and exact arbitrage pricing we characterize the sets of mimicking positions with returns that can serve in place of factors in an exact k factor arbitrage pricing relation for a set of n assets all of the sets are k dimensional nonsingular linear transformations of each other we interpret three examples of such transformations and discuss empirical considerations we provide conditions under which the mimicking positions can be expressed as portfolios and we characterize the relation between mimicking portfolios and the minimumvariance frontier

measuring the pricing error of the arbitrage pricing theory this article provides an exact bayesian frame work for analyzing the arbitrage pricing the ory apt based on the gibbs sampler we show how to obtain the exact posterior distributions for functions of interest in the factor model in particular we propose a measure of the apt pricing deviations and obtain its exact posterior distribution using monthly portfolio returns grouped by industry and market capitalization we find that there is little improvement in reduc ing the pricing errors by including more factors beyond the first one as an important extension of the asset pricing model of sharpe 1964 and lintner 196 5 ross 1976 1977 derived the arbitrage pricing theory apt which addresses a fundamental problem in finance to char acterize the expected return on a security the apt implies that the expected return is approximately a

risk and return in an equilibrium apt application of a new test methodology abstract we use an asymptotic principal components technique to estimate the pervasive factors influencing asset returns and to test the restrictions imposed by static and intertemporal equilibrium versions of the arbitrage pricing theory apt on a multivariate regression model the empirical techniques allow for fairly arbitrary time variation in risk premiums we find that the apt provides a better description of the expected returns on assets than the capital asset pricing model capm however some statistically reliable mispricing of assets by the apt remains

approximate factor structures interpretations and implications for empirical tests this paper provides some new insights about approximate factor structures as defined by chamberlain and rothschild 2 and their implications for empirical tests first we show that any economy that satisfies an approximate factor structure can be transformed in a manner that does not alter the characteristics of investor portfolios into an economy that satisfies an exact factor structure as defined by ross 9 second we show that principal components analysis represents just one of many methods of forming groups of well diversified portfolios with no idiosyncratic risk in large samples correct factor loadings will be obtained by regressing security returns on any group of these portfolios our interpretations of the chamberlain and rothschild results also provide additional insights into the testability of the arbitrage pricing theory we show that securities cannot be repackaged to hide factors in the manner suggested by shanken 10 without the variance of some of the repackaged securities approaching infinity in large economies

the arbitrage pricing theory macroeconomic and financial factors and expectations generating processes abstract empirical tests of the arbitrage pricing theory apt using prespecified observed variables rely on the construction of unexpected components of the variables in this paper we show that traditional techniques employed in this area may lead to false inferences regarding the statistical significance or otherwise of estimated risk premia we put forth an alternative methodology to generate the unexpected components which treats expectations formation as a learning process in the light of given criteria that the unexpected components should satisfy this technique leads to more reliable inferences regarding tests and applications of the apt

on the number of factors in the arbitrage pricing model recent theory has demonstrated that the arbitrage pricing model with k factors critically depends on whether k eigenvalues dominate the covariance matrix of returns as the number of securities grows large the purpose of this paper is to test whether sample covariance matrices can be characterized as having k large eigenvalues using all available data on the 1983 crsp tapes we compute sample covariance matrices of returns in sequentially larger portfolios of securities analyzing their eigenvalues we find evidence that one eigenvalue dominates the covariance matrix indicating that a one factor model may describe security pricing we also find that for values of k larger than one there is no obvious way to choose the number of factors nevertheless we find that while only the first eigenvalue dominates the matrix the first five eigenvalues are growing more distinct arbitrage pricing theory apt as originally developed by ross 22 23 is built on the twin assumptions of no arbitrage opportunities in the capital market and a linear relationship between actual returns and k common factors the principal hypothesis of the model is that expected returns should be linearly related to the weights of the common factors in the assumed linear process in every test of the model the focus has been to use factor analysis to extract k factors from sample covariance matrices and then to test the hypothesis by regressing returns or average returns against the factor loadings of the common factors most previous tests have either assumed that the number of factors is equal to some predetermined number or have estimated k simultaneously with estimation of the factor loadings thus existing tests of the apt are joint tests of the apt pricing result and an assumed or estimated number of factors the question of how many factors are important has not been addressed separately from the pricing tests because the apt pricing result is the significant prediction of a theory which has little to say about the value of k nevertheless crosssection linear models have been a central part of financial economics and it is clearly important to know at least the approximate number of factors which will be significant in such regressions particularly given the computational difficulties of large scale factor analysis furthermore dhrymes friend and gultekin 6 report that the number of factors needed for standard chi squared tests increases university at buffalo suny i am in debt to donald bosshardt gary chamberlain thomas ho richard roll lemma senbet mark zmijewski and the participants in finance workshops at the universities of michigan wisconsin and buffalo for their extensive comments nevertheless i am solely responsible for what remains this paper would not have been started without the unselfish cooperation of jay leavitt director of academic computing university at buffalo suny who designed the eigenvalue algorithm which i used i am also grateful for partial financial support and lavish computer funds from the school of management and for the expert programming assistance provided by ravi shukla

assessing the financial performance of forestry related investment vehicles capital asset pricing model vs arbitrage pricing theory capital asset pricing model capm and arbitrage pricing theory apt are used to assess the financial performance of eight forestry related investment vehicles although results from apt support previous findings from capm about timberland investments three bodies of evidence show that apt findings are more robust the major conclusions are a institutional timberland investments and timberland limited partnerships have a low risk level and excess returns b forestry industry companies have not earned risk adjusted returns and the performance of medium forest industry firms is worse than that of large firms c stumpage price does not resemble the return generation process of timberland investments and d lumber futures have little excess return copyright 2001 oxford university press

some results in the theory of arbitrage pricing this paper derives a stronger version of huberman s recent preference free pricing theorem this pricing result relates the expected return on an asset to its factor responses and the covariance structure of the residuals from a linear factor model it must characterize any infinite asset economy in which no arbitrage opportunities are present whether or not the factor model has uncorrelated residuals this result provides the intuition for the role of residual risk in the pricing model and eliminates some classes of arbitrage opportunities still present under huberman s bound some applications to empirical tests and performance measurement are also discussed the arbitrage pricing theory is one of several financial pricing models which attempts to explain the cross sectional variation in expected returns on assets in certain respects it is similar to the capital asset pricing model but there are both substantive and subtle differences one of the key advantages of the apt is that it derives a simple linear pricing relation approximating that in the capm without some of the latter s objectionable assumptions perhaps the key disadvantage of the apt is that it provides no clues as to what might be important factors nor as to how to interpret the factor premiums which appear in the pricing equation this paper serves several purposes after reviewing the linear factor model formulation in section i it derives in section ii a stronger version of huberman s 9 recent preference free pricing theorem this pricing result relates the expected return on an asset to its factor responses and the covariance structure of the residuals this relation must characterize any infinite asset economy in which no arbitrage opportunities are present whether or not a linear factor model with uncorrelated residuals is the appropriate returns generating mechanism section iii specializes this result by eliminating the effects of residual covariances and compares the results here to those of previous apt models when applied to the standard linear factor model with uncorrelated residuals this new pricing bound eliminates arbitrage opportunities which remain under huberman s bound this result also provides for the first time the intuition for the role of residual risk in the approximate pricing relation section v provides an interpretation of the factor premiums and gives a valid asset pricing model interpretation to the apt which is consistent with merton s

the capm and equity return regularities differential returns on dividend and capital gains income systematic abnormal returns surrounding ex dividend dates excess returns on small versus large capitalization stocks excess returns on low versus high price earnings ratio stocks these are among the recent findings that cast doubt on the traditional capital asset pricing model and tease investors with the promise of systematic excess returns some of these effects are undoubtedly related tests indicate for example that the higher a portfolio s price to book ratio the higher the corresponding values of market capitalization pie and stock price furthermore p e dividend yield price and pie effects all experience significant january seasonals what has not been conclusively determined is whether the effects are additive so far it appears that the dividend yield and size effects are not mnutually exclusive investors may want to use a strategy employing several of these characteristics rather than one efforts to explain the size effect have focused on january because the effect is concentrated in that month the most common hypothesis attributes this to year end tax loss selling but the evidence is less than conclusive evidence strongly suggests however that among small firms those with the largest abnormal returns tend to be the firms that have recently become small that either don t pay dividends or have higher dividend yields and that have lower prices and low pie ratios

economic and demographic determinants of household energy use in turkey this paper analyzes several economic and socio demographic factors which affect households energy choices in turkey the data is obtained from the household budget surveys hbs conducted by the turkish statistics institute tuik the multinomial logit model is used to identify households energy choices the most important finding of the study is that monthly income of households or household welfare in general has significant effect on energy choices it is also important to note that ages of persons have influence on energy choices indeed health concerns easiness in use was found as criteria referred to particularly by household heads at age 50 and over when making energy choices as far as settlements are concerned the most salient characteristic of urban dwellers vis a vis rural dwellers is their dominant preference for natural gas while rural dwellers have their choice for more conventional fuels

consumption benefits of national hockey league game trips estimated from revealed and stated preference demand data this paper examines the demand for hockey game trips among metropolitan and nonmetropolitan residents of alberta canada using data on both revealed and stated preference game trip behavior from a telephone survey conducted throughout alberta we estimate the effect of ticket prices team quality arena amenities and capacity on the latent demand for national hockey league hockey games we nd that lower ticket prices higher team quality and additional capacity encourage attendance in the status quo scenario consumer surplus per game is 50 for those who had attended hockey games and about 50 less for those who had not attended games exploiting the stated preference data we develop a number of other consumer surplus estimates we also include travel costs in the estimation of the demand function and estimate the full value of the game trip considering both ticket prices and travel costs sold out arenas in calgary and edmonton generate annual consumption bene ts of 40 and 35 million when only ticket prices are used to calculate consumer surplus i e excluding travel costs considering the full price consumer surplus for the calgary flames of 103 per game trip the annual consumption bene ts may be as high as 82 million jel r22 l83 d61

stable factors in security returns identification using cross validation recent papers in financial research focus on identifying a stable factor structure for security returns the likelihood ratio test typically is used to determine the number of factors from exploratory factor analysis models in this article we consider the use of cross validation to identify a stable factor structure in security returns when applied to actual stock return data cross validation identifies a smaller number of stable factors than the likelihood ratio test in groups of 30 60 randomly selected securities cross validation suggests one dominant factor whereas the likelihood ratio test identifies from four to six factors furthermore when groups are designed to highlight industry or size effects the discovery of more than one dominant factor is problematic even if there are multiple economic factors generating stock returns they may be difficult to disentangle if the underlying factors tend to be correlated

an empirical investigation of international asset pricing we investigate several asset pricing models in an international setting we use data on a large number of assets traded in the united states japan the united kingdom and france the models together with the hypothesis of capital market integration imply testable restrictions on multivariate regressions relating asset returns to various benchmark portfolios we find that multifactor models tend to outperform single index models in both domestic and international forms especially in their ability to explain seasonality in asset returns we also find that the behavior of the models is affected by changes in the regulatory environment in international markets

the relation between mean variance efficiency and arbitrage pricing the mean standard deviation diagram has proven to be a valuable tool for understanding equilibrium asset pricing theory first introduced by markowitz 1952 1959 and tobin 1958 the diagram helps students and researchers alike to develop intuition about the capital asset pricing model capm its properties are useful for analyzing the conditions under which the market portfolio is mean variance efficient and for linking the location of the market portfolio in the diagram with the validity of the capm in addition its simple geometry seems to be the critical inspiration for roll s 1977 argument that the capm cannot feasibly be tested because the market portfolio is unobservable and because of a mathematical equivalence between the individual return beta linearity relation and the market portfolio s mean variance efficiency p 129 recent research on equilibrium asset pricing both theoretical and empirical has tended to focus on multibeta pricing models especially the arbitrage pricing theory apt this paper will show that the simple intuition derived from the

joint estimation of factor sensitivities and risk premia for the arbitrage pricing theory the apt is represented as a multivariate regression model with across equations restrictions both observed and unobserved latent macroeconomic factors are included thus generalizing and unifying two previous strands of literature large portfolios representing unobserved factors are treated as endogenous and nonlinear 3sls estimates are shown to differ sharply from estimates that ignore this endogeneity using monthly stock returns and six factors we cannot reject january effects the following results are invariant with respect to the inclusioh of january effects we reject the capm in favor of the apt however we cannot reject the apt restrictions on the linear factor model most empirical work on the arbitrage pricing theory apt has followed a factor analysis approach papers by burmeister and wall 5 chan chen and hsieh 7 chen roll and ross 9 and mcelroy and burmeister 22 represent some exceptions in which measured macroeconomic factors such as unexpected inflation are used to explain asset prices in an apt or multifactor model both the factor analysis approach and the measured macroeconomic factor approach have their merits the primary advantages of using measured economic factors are 1 the factors and their apt prices in principle can be given economic interpretations while with a factor analysis approach it is unknown what factors are being priced and 2 rather than using only asset prices to explain asset prices measured macroeconomic factors introduce additional information linking asset price behavior to macroeconomic events in this exploratory paper we investigate an apt or multifactor model in which there are both measured macroeconomic factors and other nonobserved factors we impose the nonlinear across equation apt pricing restrictions exactly by using three multivariate estimation methods iterated nonlinear weighted least squares itnlwls iterated nonlinear seemingly unrelated regressions itnlsur and iterated nonlinear three stage least squares itnl3sls see gallant 13 and discussion below the appropriate estimation method depends upon alternative assumptions about the error terms nonsystematic risk in the asset returns equations the primary objective of this work is to investigate whether or not certain apt tests are sensitive to these alternative error assumptions the details of which are given in the text our focus is on the interrelation

on testing the arbitrage pricing theory inter battery factor analysis this paper tests the arbitrage pricing theory apt by estimating the factor loadings that are consistent between two industry groups of securities one of the pitfalls in the study by roll and ross is that the factors estimated in one group may not be the same with the factors estimated in another group this raises some concerns on the acceptability of their conclusions for our study we employ inter battery factor analysis which enables us to estimate factor loadings by constraining the factors to be the same between two different groups our results show that there seem to be five or six inter group common factors that generate daily returns for two industry groups of securities and these inter group common factors do not seem to depend on the size of groups also based on our cross sectional tests on the risk premia we conclude that the apt should not be rejected the arbitrage pricing theory apt introduced by ross 35 36 provides another model for explaining the relationship between return and risk the apt may be conceived as an alternative to the well known capital asset pricing model capm introduced by sharpe 39 lintner 27 and mossin 29 and later modified by black 1 both models assert that every asset must be compensated only according to its systematic risk one of the major differences is that in the capm the systematic risk of an asset is defined to be the covariability of the asset with the market portfolio whereas in the apt the systematic risks are defined to be the covariability with not only one factor but also possibly with several economic factors another difference is that the capm requires the economy to be in equilibrium whereas the apt requires only that the economy has no arbitrage opportunities note that the absence of arbitrage condition is necessary but not sufficient for the economy to be in equilibrium thus the apt is a more fundamental relationship than the capm in the sense that a rejection of the apt implies the rejection of the capm but not vice versa despite numerous attempts the capm has not been satisfactorily tested and furthermore roll s critique 32 33 casts serious doubts on the testability of the capm itself roll argues that the linear relationship between return and risk will hold for any efficient portfolio thus unless the market portfolio is observed a test of the capm using ex post data is ambiguous it results only in testing the

some empirical tests in the arbitrage pricing theory macro variables vs derived factors abstract this study investigates the ability of two models based on the arbitrage pricing theory apt to predict portfolio returns over the period 1971 1986 the difference between the two models lies in the factors used in the factor loading model flm the factors are produced by factor analysis and are thus unspecified in the macroeconomic variable model mvm the factors are defined as innovations in a set of macrovariables the two approaches are compared in several different ways observed differences in test results between the two models are generally relatively small given some attractive features of the mvm such as economically interpretable factors this finding is encouraging and suggests that factor analysis may be unnecessary in implementing the apt

misspecification of capital asset pricing this study documents empirical anomalies which suggest that either the simple one period capital asset pricing model capm is misspecified or that capital markets are inefficient in particular portfolios based on firm size or earnings price e p ratios experience average returns systematically different from those predicted by the capm furthermore the abnormal returns persist for at least two years this persistence reduces the likelihood that these results are being generated by a market inefficiency rather the evidence seems to indicate that the equilibrium pricing model is misspecified however the data also reveals that an e p effect does not emerge after returns are controlled for the firm size effect the firm size effect largely subsumes the e p effect thus while the e p anomaly and value anomaly exist when each variable is considered separately the two anomalies seem to be related to the same set of missing factors and these factors appear to be more closely associated with firm size than e p ratios

a new approach to testing asset pricing models the bilinear paradigm we propose a new approach to estimating and testing asset pricing models in the context of a bilinear paradigm introduced by kruskal 18 this approach is both simple and at the same time quite general as an illustration we apply it to the special case of the arbitrage pricing model where the number of factors is pre specified the data appear to be generally in conflict with a five or seven factor representation of the model used by roll and ross 30 when we consider the number of replications of our test and the large number of observations on which it is performed the frequency with which we reject the three factor apm does not lead us to conclude that this model is unrepresentative of security returns further the rejection of the five and seven factor versions is to be expected if the three factor version is correct the paradigm gives insight into the appropriate specification of the model and suggests that there may be a small number of economy wide factors that affect security returns tests of asset pricing models on the basis of observed stock market data have represented a staple of the financial economics literature of the past twenty years the early work is reviewed in the famous paper by jensen 12 and papers by fama and macbeth 6 rosenberg and marathe 31 and roll and ross 30 there has been a great deal of confusion regarding what testable propositions are implied by these models see discussion in roll 29 in this paper we show that at a minimum all asset pricing models yet proposed imply a simple easily testable hypothesis which we refer to as the bilinear hypothesis while specific models may imply further testable propositions if the bilinear hypothesis is rejected the model is inconsistent with the data and should be rejected our test exploits the fact that the economic content of any equilibrium asset pricing model can be expressed in the form of a potentially refutable constraint on the set of parameters of the process generating security returns this constraint specifies that given a set of security specific characteristics there exists a linear relationship common across securities relating expected returns to these

a critical reexamination of the empirical evidence on the arbitrage pricing theory this paper demonstrates that the roll and ross rr and other previously published tests of the apt are subject to several basic limitations there is a general nonequivalence of factor analyzing small groups of securities and factor analyzing a group of securities sufficiently large for the apt model to hold it is found that as one increases the number of securities the number of factors determined increases this increase in the number of factors with larger groups of securities cannot readily be explained by a distinction between priced and nonpriced risk factors as it is impermissible to carry out tests on whether a given risk factor is priced using factor analytic procedures the apt model as exposited by ross 17 18 and extended by huberman 9 has provided the basis of an extensive literature as for example brown and weinstein 1 chen 3 hughes 10 ingersoll 11 jobson 12 reinganum 15 roll and ross rr 16 and shanken 17 to mention but a few it has also been treated in a more general context by chamberlain and rothschild 2 our purpose here is not to comment on this collection of papers many of which are unpublished but to reexamine the evidence presented by rr and point out major pitfalls involved in the empirical methodology employed by them and others who have followed their lead rr claim that on theoretical and more importantly on empirical grounds arbitrage pricing theory apt is an attractive alternative to the capital asset pricing model capm the apt it is argued requires less stringent and presumably more plausible assumptions is more readily testable since it does not require the measurement of the market portfolio and may be better able to explain the anomalies found in the application of the capm to asset returns the acceptability of the apt like that of the capm or any other theory ultimately depends on its ability to explain the relevant empirical evidence our subsequent discussion will show that many of the prqblems associated with the capm are also present in the apt context and that its ability to explain the relevant empirical evidence is not markedly superior moreover it raises questions not only about the rr and related empirical investigations of the apt but also about the testability of that theory in the present state of the art a major part of the problem results from the necessity to break down the universe being analyzed through the apt model this is forced upon the investigator by the fact

on the relation between reschedulings and bank value the effect of developing country loan reschedulings on large u s banks is investigated using an event study methodology the major finding concerns the evolving nature of the impact of loan reschedulings during 1978 80 reschedulings had a positive effect on bank returns in contrast to the negative impact found for the 1981 83 period an explanation for these results is provided by a model of the rescheduling process that recognizes the noncompetitive aspects of rescheduling negotiation copyright 1989 by american economic association

the empirical foundations of the arbitrage pricing theory abstract this paper uses maximum likelihood factor analysis of large cross sections to examine the validity of the arbitrage pricing theory apt we are unable to explain the expected returns on firm size portfolios although we do explain the expected returns on portfolios formed on the basis of dividend yield and own variance where risk adjustment using the usual capm market proxies fails we also compare alternate versions of the apt and sharply reject the hypothesis that basis portfolios formed to mimic the factors span the mean variance frontier of the individual assets

a comparison of single and multifactor portfolio performance methodologies a comparison of single and multifactor portfolio performance methodologies using value line and size ranked portfolios indicates that although both methodologies provide unbi ased estimates of portfolio performance there are systematic differences in the power of the two methodologies the predictive power of the multifactor methodology is superior for well diversified portfolios but inferior for less diversified portfolios

factor pricing in a finite economy abstract prior theoretical derivations of the arbitrage pricing theory apt bound an aggregate measure of the deviation of mean asset returns from that predicted by a linear pricing equation it is conceivable given this bound that some assets might be badly mispriced by the model in this paper a more intuitive derivation of the factor pricing equation is presented which describes the deviation on an asset by asset basis the deviation is shown to be small for assets in a realistic finite economy and is arbitrarily close to zero for those assets with arbitrarily small size relative to aggregate wealth it follows that the linear pricing equation provides a good approximation for the mean returns of all traded assets

innovations in interest rates duration transformation and bank stock returns this paper studies the cross sectional variation in the sensitivity of bank stock returns to interest rate innovations an econometric framework is developed to estimate the mismatch between asset and liability durations the innovation sensitivity is then related to duration transformation the results indicate that banks are exposed to interest rate risk and that the innovation sensitivity is positively related to duration transformation copyright 1992 by ohio state university press

the number of factors in security returns both factor analysis of security returns and the analysis of eigenvalues seem to indicate that a market factor explains the major part of security returns we find that such evidence is consistent with an economy where there are in fact k equally important priced factors eigenvalue analysis in the context of such an economy will lead an investigator to the false inference that the one important factor is the return on an equally weighted market index this paper examines a particular exact k factor economy where each of the k factors is priced and contributes equally on average to the variance of returns we show analytically that for such an economy the approximate factor solution identifies the first factor as the return on an equally weighted market index and would lead to the inference that the remaining h 1 factors are not priced using a cross section regression technology our particular model is consistent with existing empirical work that has studied the number of factors in security markets these results suggest an important caveat to the interpretation of approximate factor solutions in an apt or multibeta pricing context one might also infer a capm bias in tests of the apt using the factor analysis technology on a more positive note the results suggest a simple rotation of the factor analysis solution that will lead to more powerful tests of the asset pricing relations to motivate this study consider the fact that the single factor market model suggested by markowitz 1959 and developed by sharpe 1963 remains one of the most popular empirical models of the return generating process the widespread acceptance of this model owes much to the work of king 1966 through a seven factor analysis of return data he concludes that one factor explains a large percentage of the variance of stock prices a factor on which each security tends to weight positively he interpreted this result to mean that there exists a basic market factor in operation which has a major effect on all securities this work supported the development of empirical research into the capital asset pricing model the model has been extensively applied in the event study context

some empirical tests of the theory of arbitrage pricing we estimate the parameters of ross s arbitrage pricing theory apt using daily return data during the 1963 78 period we compare the evidence on the apt and the capital asset pricing model capm as implemented by market indices and find that the apt performs well the theory is further supported in that estimated expected returns depend on estimated factor loadings and variables such as own variance and firm size do not contribute additional explanatory power to that of the factor loadings

tests of asset pricing with time varying expected risk premiums and market betas tests of asset pricing models are developed that allow expected risk premiums and market betas to vary over time these tests exploit the relation between expected excess returns and current market values using weekly data for 1963 through 1982 on ten common stock portfolios formed according to equity capitalization a single risk premium model is not rejected if the expected premium is time varying and is not constrained to correspond to a market factor conditional mean variance efficiency of a value weighted stock index is rejected and the rejection is insensitive to how much variability of expected risk premiums is assumed financial economists have studied valuation models in which securities expected returns are related to the covariances of unanticipated returns with the return on the market portfolio or with other risk factors empirical tests of such models typically have employed unconditional sample moments of returns recent studies provide mounting evidence that expected returns change over time with information such evidence presents an opportunity to develop new approaches for evaluating and implementing asset pricing models that exploit this time variation this paper presents new tests of financial valuation models in which expected returns are allowed to vary over time time series of relative

exchange rate and foreign inflation risk premiums in global equity returns abstract we test for the pricing of exchange rate and foreign inflation risk in equities our tests are motivated by the empirical implications of the models of solnik 1974b solnik b 1974b the international pricing of risk an empirical investigation of the world capital market structure journal of finance 365 377 as revised by sercu 1980 sercu p 1980 a generalization of the international asset pricing model revue de l association francaise de finance 1 91 135 grauer et al 1976 grauer f litzenberger r stehle r 1976 sharing rules and equilibrium in an international capital market under uncertainty journal of financial economics 3 233 256 and adler and dumas 1983 adler m dumas b 1983 international portfolio choice and corporation finance a synthesis journal of finance 38 925 984 both exchange rate and foreign inflation risk factors can explain part of the within country cross sectional variation in returns our results have important implications for hedging exchange rate risk they also demonstrate that home bias at least in us equity portfolios cannot be the result of us investors efforts to hedge their domestic inflation

on the impact of infrequent trading on the apt systematic risk components evidence from a thin security market abstract the purpose of this note is to analyze the effects of infrequent trading on the apt systematic risk components using finnish data infrequent trading is reported to influence especially the first systematic risk component produced by factor analysis on stock returns

vector forecasting and dynamic portfolio selection empirical efficiency of recursive multiperiod strategies abstract in the paper we present a dynamic portfolio selection system the system combines recent results from the domains of time series analysis portfolio theory and multiperiod linear programming under uncertainty the performance of the decision support system is tested empirically against a dynamic super criterion defined in the study we demonstrate that suitable combination of ex ante and ex post information with initial balances for the planning horizon yields better portfolio efficiency through time than a strategy relying purely on ex ante information the system was programmed on abo academy s vax 8800 computer mainly in fortran with access to the imsl library and ifps optimum

a simple approach to arbitrage pricing theory the following sections are included introductionarbitrage pricingdiscussionreferencesdiscussion notes on the arbitrage pricing theorypure arbitrage pricing theoryapproximate arbitrage and the aptapproximate factor modelsthe competitive equilibrium version of the aptconclusionnotereferences this abstract was borrowed from another version of this item

cost of capital to the hospital sector this paper provides estimates of the cost of equity and debt capital to for profit and non profit hospitals in the u s for the years 1972 83 the cost of equity is estimated using alternatively the capital asset pricing model and arbitrage pricing theory we find that the cost of equity capital using either model substantially exceeded anticipated inflation the cost of debt capital was much lower accounting for the corporate tax shield on debt and capital paybacks by cost based insurers lowered the net cost of capital to hospitals

posterior predictive and utility based approaches to testing the arbitrage pricing theory abstract to provide a framework for judging the economic significance of departures from the arbitrage pricing theory we adopt a utility based metric based on optimal portfolio choices this measure is examined using both predictive and posterior analysis our predictive analysis shows very large and economically significant departures from the model restrictions however the high level of parameter uncertainty suggests that we cannot conclusively either affirm or reject the apt our conclusions differ markedly from other studies which employ traditional significance testing procedures and in many instances fail to reject the apt restrictions

arbitrage pricing theory as a restricted nonlinear multivariate regression model iterated nonlinear seemingly unrelated regression estimates by replacing the unknown random factors of factor analysis with observed macroeconomic variables the arbitrage pricing theory apt is recast as a multivariate nonlinear regression model with across equation restrictions an explicit theoretical justification for the inclusion of an arbitrary well diversified market index is given using monthly returns on 70 stocks iterated nonlinear seemingly unrelated regression techniques are employed to obtain joint estimates of asset sensitivities and their associated apt risk prices without the assumption of normally distributed errors these estimators are strongly consistent and asymptotically normal with the additional assumption of normal errors they are also full information maximum likelihood estimators classical asymptotic nonlinear nested hypothesis tests are supportive of the apt with measured macroeconomic factors

the seasonal stability of the factor structure of stock returns this paper investigates the month by month stability of a daily returns and correlation coefficients of stock returns b correlation and covariance matrices c number of return generating factors and d the apt pricing relationship the results show that there is a january effect and a small firm effect in stock returns correlation matrices are more stable than covariance matrices but both types of matrices are not stable across months and across the sample groups the number of return generating factors is rather stable most of the time and for most of the sample groups but there is some significant instability that is related to the average correlation coefficients among stocks the apt pricing relationship does not seem to be supported by the two stage process using the maximum likelihood factor analysis the seasonality of common stock returns has received considerable attention in financial economics research studies by officer 23 rozeff and kinney 29 gultekin and gultekin 11 and others have investigated the stock returns of the u s and other countries on a monthly basis they generally have found that on average january returns are significantly higher than the returns for other months banz 1 and reinganum 25 26 have found abnormally high returns in small market value firms and keim 17 has related this to the first few trading days of january schwert 30 points out the current difficulty of explaining these empirical regularities and the need for further investigations several studies have examined seasonality in risk premiums rozeff and kinney 29 found that seasonality appeared in the risk premiums obtained from a twoparameter capm and that january displayed a relatively large risk premium compared with the other months keim 16 also found seasonality in the risk premiums more recently tinic and west 32 examined the risk premiums of the two parameter capm and observed the previously reported seasonality and high january premium they also found that january is the only month in which there is a consistently positive statistically significant relationship between expected return and risk very recently using the two stage procedure with the

general factor models and the structure of security returns based on markowitz s pioneering study 40 sharpe 56 and lintner 38 advanced the first positivist formulations of the capital asset pricing model capm their models were subsequently refined by mossin 45 fama 15 black 1 and others even though the capm has been studied extensively it has not been empirically validated according to roll 48 the capm cannot be tested in an unambiguous fashion because of a number of intractable measurement and computational difficulties and the joint nature of the hypotheses to be tested

diversification and the optimal construction of basis portfolios nontrivial diversification possibilities arise when a factor model describes security returns this paper catalogs the merits of alternative strategies for constructing basis portfolios to mimic the common factors we show how to use the 2 statistic for the joint significance of mean basis portfolio returns to rank alternative procedures and the bootstrap to perform inferences on the disparity between 2 statistics across portfolio formation procedure estimation method cross section size and number of factors our main conclusion is that maximum likelihood factor analysis coupled with minimum idiosyncratic risk portfolio formation yields economically and statistically superior basis portfolios compared with those derived from asymptotic principal components

arbitrage pricing theory and utility stock returns this paper presents some new evidence that arbitrage pricing theory may lead to different and better estimates of expected return than the capital asset pricing model particularly in the case of utility stock returns results for monthly portfolio returns for 1971 1979 lead to the conclusion that regulators should not adopt the single factor risk approach of the capm as the principal measure of risk but give greater weight to apt whose multiple factors provide a better indication of asset risk and a better estimate of expected return notwithstanding initial skepticism and recent challenges the capital asset pricing model capm has been used to develop project screening rates value companies measure the impact of policy change on risk and construct portfolios recently the federal energy regulatory commission ferc proposed it as the principal measure of risk for the electric utilities it regulates it would be ironic for acceptance of capm by policymakers to occur just as arbitrage pricing theory apt threatens to replace it as an explanation of the relationship between return and risk and it would be a pity if ferc were to adopt the single risk factor approach of capm when it could be demonstrated that the multiple factors of apt provide a better indication of asset risk and a better estimate of expected return this paper presents some new evidence that apt may lead to different and better estimates of expected return than capm and that it may be more helpful to policymakers as a result we describe capm and apt note work done by others show how estimates of required returns for utilities developed by applying each model may differ and finally report the evidence that convinces us that if one model is to be relied upon for policy purposes apt would be the better choice

excess returns of industrial stocks and the real estate factor 1 introduction for more than three decades numerous studies have been devoted to capital asset pricing issues identifying key factors influencing returns on capital assets remains the major focus of the studies according to the first important asset pricing theory the capital asset pricing model capm of sharpe 1964 and lintner 1965 there is a positive linear relationship between expected stock returns and market betas this single factor model is theoretically challenged by the arbitrage pricing theory apt developed by ross 1976 the apt provides a theoretical framework to identify more macro factors that have significant explanatory power for stock returns roll and ross 1980 chen 1983 bower bower and logue 1984 and chen roll and ross 1986 in order to be included in a multifactor model a factor must represent a source of nondiversifiable or systematic risk in addition to theoretical challenges the evidence of many empirical studies casts doubts on the adequacy of the long existing capm for example the findings of fama and french 1996 suggest that ps alone cannot explain expected returns on common stocks meantime other macro factors related to the bond market such as unanticipated changes in the term structure chen roll and ross 1986 are used to explain stock returns in recent years more risk factors have been suggested in the literature for example in their time series study about common risk factors in the returns on common stocks fama and french 1993 argue that there are three stock market factors an overall market factor a size factor stock price times number of shares and a book to market equity factor that have a significant impact on stock returns in addition two bond market factors the term structure and risk factors can capture common variation in stock and bond returns fama and french 1993 similar to fama and french s 1993 multifactor models the present study uses all three stock market factors an overall stock market factor a size factor and a book to market equity factor two bond market factors related to maturity and default risks and a real estate market factor the reason for introducing a new risk factor real estate market factor although not so obvious is engendered by the theoretical spirit of the apt real estate is a major asset class and as almost all firms have operating expenses under this category it does not matter if the properties are acquired or rented according to zeckhauser and silverman 1983 a significant portion of corporate assets on average as high as 25 is real estate related changes in real estate market value therefore potentially have a direct impact on the value of corporate assets and operating expenditures if this impact is significant as are other systematic risk factors the real estate market factor must play an important role in stock pricing in addition the real estate market risk is a macro factor therefore results about this factor do not have any interpretation problems that are associated with firm specific variables in order to identify significant factors in explaining returns for industrial stocks this study estimates various models based on the following six risk factors an overall stock market factor a size factor a book to market equity factor a term structure factor a default risk factor and an unsecuritized real estate market factor results of this study provide some empirical evidence about the significance of the six risk factors on excess returns for industrial stocks in addition this study also investigates how the inclusion of additional risk factors for example the inclusion of the bond market factors or the real estate market factor in the single market factor model increases the explanatory power of the model the remainder of this study is organized as follows section 2 describes the data and methodology section 3 presents the empirical results and section 4 contains the conclusions

yes the apt is testable the arbitrage pricing theory apt has been proposed as an alternative to the meanvariance capital asset pricing model capm this paper considers the testability of the apt and points out the irrelevance for testing of the approximation error we refute shanken s objections including his assertion that roll s critique of the capm is applicable to the apt we also explain the testability of the apt on subsets and we explore the relationship between the apt and the capm the arbitrage pricing theory apt has been the subject of extensive research efforts since it was introduced by ross 36 37 the research has included theoretical papers and a growing empirical literature 2 nonetheless there seems to be some confusion in the literature about the relation between the theoretical underpinnings of the apt and its empirical tests this paper is an attempt to alleviate the confusion to illustrate the issues and to provide a focus section i of this paper is devoted to examining and refuting some points raised in shanken 40 which considers the testability of the apt the underlying premise of the apt is that asset returns ri are generated by a factor model of the form

the impact of the return interval on common factors in stock returns evidence from a thin security market abstract the purpose of this paper is to analyze the effect of the return interval on common factors estimated in finnish stock returns firstly common factors are identified by factor analysis using daily weekly and monthly return intervals the similarity of these factors is then studied applying transformation analysis it is discovered that the factors produced by alternative return intervals significantly differ from each other an exception is the first factor representing the market index of securities

multi beta capm or equilibrium apt a reply in their influential empirical paper roll and ross 11 state we think that in many discussions of the capm scholars were actually thinking of the apt and of process 1 the factor model with just a single factor in light of recent developments in the asset pricing literature i think it can now meaningfully be suggested that in many discussions of the apt scholars may have actually been thinking of a multi beta interpretation of the capm indeed much can be said in support of each of these perspectives for a single paradigm is emerging which integrates fundamental aspects of both the capm and the apt broadly speaking the equilibrium capm paradigm emphasizes the role of covariance between asset returns and an endogenous preference based aggregate while the arbitrage apt paradigm focuses on the covariance between asset returns and factors in the return generating process the emerging equilibrium factor paradigm encompasses each of these relations as well as a third covariance between the factors and the equilibrium aggregate my thesis in shanken 17 was that i the arbitrage paradigm has not produced a refutable hypothesis and that ii recognition of the role of the factor aggregate covariance relation appears to be essential if positive economic significance is to be attributed to asset pricing empirical work dybvig and ross d r attempt to resolve the empirical indeterminacy of the arbitrage paradigm by appealing to the condition that residual variance should not be too large i explain in section ii that this condition is inherently ambiguous from an empirical perspective and does not permit the formulation of a precise testable implication the equilibrium factor models which d r discuss do yield testable restrictions on parameters in the return generating process however consistent with my second point above these restrictions involve joint hypotheses that cannot be verified without observing the entire universe of assets thus contrary to their claim considerations similar to those in roll s 10 critique are indeed relevant to the testing of these models this and other similarities between the equilibrium apt and the capm are discussed in section iii i begin by clarifying some basic terminology

a super criterion for testing portfolio efficiency empirical evidence on finnish stock data abstract in this paper a markovian super criterion is formulated for testing the portfolio efficiency of competing capital market theories the portfolio efficiency of the arbitrage pricing theory apt and the capital asset pricing model capm is tested on finnish weekly price index data over the 1970 1983 time frame the efficiency test results imply that the apt dominates the capm a considerable deviation between the expected pareto frontier and the best expectational frontier according to the apt is observed

seasonal and size anomalies in the japanese stock market little attention has been paid by the academic community in the united states to the japanese stock market and its structure japan has the second largest economy in the western world and the tokyo stock exchange tse is second only to the new york stock exchange nyse in terms of aggregate market values and sales volume analysis of the japanese stock market is useful given its relative importance but in addition examination of the japanese market may offer insights into controversies surrounding u s markets this study focuses on two such current controversies the january and size anomalies