the pricing of currency risk in japan abstract previous work on the pricing of exchange rate risk has primarily focused on us firms and surprisingly found stock returns were not significantly affected by exchange rate fluctuations in this paper we conduct an in depth investigation that examines whether exchange rate risk is priced in the equity market of japan using an intertemporal asset pricing testing procedure that allows risk premia to change through time in response to changes in macroeconomic conditions our multiperiod asset pricing tests show that the foreign exchange rate risk premium is a significant component of japanese stock returns specifically the results suggest that currency risk exposure commands a significant risk premium for multinationals and high exporting japanese firms the currency risk factor is found to be less influential in explaining the behavior of average returns for low exporting and domestic firms however it is shown to exhibit large return volatility that is likely to be perceived by investors who wish to control portfolio risk as an important underlying source of risk furthermore japanese stock returns are found to be related to the relative distress and size factors above and beyond the covariation explained by the currency risk factor

on the exclusion of assets from tests of the mean variance efficiency of the market portfolio this paper presents an analysis of the testability of the mean variance efficiency of a market index when the returns on some components of the index itself are not perfectly observable the results are basically not supportive of the notion that mean variance efficiency is testable on a subset of the assets bounding the market share of the missing asset and its expected return is not sufficient to produce a valid test when the variance of the missing asset is bounded and the amount of wealth that might be missing is small it is possible in principle to reject correctly the mean variance efficiency of a market index in his famous critique of the asset pricing theory tests roll 7 concludes that the only testable hypothesis associated with the generalized two parameter asset pricing model of black 1 is that the market portfolio is mean variance efficient it has been emphasized by ross 10 and roll 7 that the mean variance efficiency of the market portfolio is mathematically equivalent to a positive linear relation between expected returns and the betas calculated against such a portfolio roll 7 deduces that the theory capm is not testable unless the exact composition of the market portfolio is known and used in the tests this implies that the theory is not testable unless all individual assets are included in the sample errors of type one or two might occur when a market proxy is used instead of the true market portfolio even if the ex ante true expected returns and the covariance variance matrix of the returns on all the assets are used these errors are the result of the choice of the portfolio and as roll puts it even a small misspecification of the proxy s composition can lead to the wrong conclusion the market proxy might be mean variance efficient while the true market portfolio is not and vice versa in principle however there are cases in which the above two conditions are not both necessary to reject the theory one such exception presented by roll 7 is the case in which no totally positive portfolio is efficient if any totally positive market proxy is used a large sample would reject the null hypothesis unambiguously while the market portfolio identification problem constitutes a severe limitation to the testability of the theory the question of the mean variance efficiency of a particular market index with respect to a subset of assets is a typical problem of statistical inference the mean variance efficiency can be tested directly or by

a nonparametric copula based test for conditional independence with applications to granger causality this article proposes a new nonparametric test for conditional independence that can directly be applied to test for granger causality based on the comparison of copula densities the test is easy to implement because it does not involve a weighting function in the test statistic and it can be applied in general settings since there is no restriction on the dimension of the time series data in fact to apply the test only a bandwidth is needed for the nonparametric copula we prove that the test statistic is asymptotically pivotal under the null hypothesis establishes local power properties and motivates the validity of the bootstrap technique that we use in finite sample settings a simulation study illustrates the size and power properties of the test we illustrate the practical relevance of our test by considering two empirical applications where we examine the granger noncausality between financial variables in a first application and contrary to the general findings in the literature we prov

the federal funds rate and the channels of monetary transmission the authors show that the interest rate on federal funds is extremely informative about future movements of real macroeconomic variables then they argue that the reason for this forecasting success is that the funds rate sensitively records shocks to the supply of bank reserves that is the funds rate is a good indicator of monetary policy actions finally using innovations to the funds rate as a measure of changes in policy the authors present evidence consistent with the view that monetary policy works at least in part through credit i e bank loans as well as through money i e bank deposits copyright 1992 by american economic association

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

answering the skeptics yes standard volatility models do provide accurate forecasts a voluminous literature has emerged for modeling the temporal dependencies in financial market volatility using arch and stochastic volatility models while most of these studies have documented highly significant in sample parameter estimates and pronounced intertemporal volatility persistence traditional ex post forecast evaluation criteria suggest that the models provide seemingly poor volatility forecasts contrary to this contention we show that volatility models produce strikingly accurate interdaily forecasts for the latent volatility factor that would be of interest in most financial applications new methods for improved ex post interdaily volatility measurements based on high frequency intradaily data are also discussed

local market and national components in house price appreciation abstract we analyze real home price appreciation using a long time series 1971 1989 and large cross section 56 metro areas our findings yield important new insights into two outstanding issues in real estate finance and economics the first deals with the implications for investment opportunities in housing across metro areas a striking result is that we cannot reject the null hypothesis of equal appreciation rates across locales a priori the results are suggestive of equal expected appreciation across the different local markets however it is noteworthy that we find significant serial correlation in some local appreciation series this is consistent with previous findings by case and shiller 6 and suggests that prescient market timers might have been able to make money in selective markets we then consider the potential implications of equal appreciation rates across cities for housing market equilibrium in light of the fact that price levels do materially differ across metro areas we argue that equal real appreciation rates starting from different price levels imply increasingly divergent prices of local traits in terms of foregone consumption without special assumptions with respect to income and productivity differentials across locations or to local trait income elasticities of demand the appreciation rates in high housing price level areas ultimately have to fall below those in low price level areas preliminary evidence indicates that higher priced areas tend to have significantly lower appreciation rates controlling for local fixed effects and a common time varying effect

using generalized method of moments to test mean variance efficiency this paper develops tests of unconditional mean variance efflciency under weak distributional assumptions using a generalized method of moments framework these tests are potentially more robust than commonly employed tests which rely on the assumption that asset returns are normally distributed and temporarily i i d using returns for size based portfolios from 1926 to 1988 we show that the conclusion concerning the mean variance effilciency of market indexes can be sensitive to the test considered the application of multivariate statistical techniques in financial economics has become common practice in recent years much of the development has been in the area of testing asset pricing models the assumption that asset returns follow a time invariant multivariate normal distribution permits tests of restrictions on model parameters in a pooled time series cross section framework these tests can be interpreted as tests of the mean variance efficiency of a portfolio or combination of portfolios gibbons 1982 jobson and korkie 1982 stambaugh 1982 shanken 1985 1987 kandel and stambaugh 1987 mackinlay 1987 and gibbons ross and shanken 1989 are examples of work presenting multivariate tests of the capital asset pricing model connor and korajczyk 1988 and lehmann and modest 1988 present multivariate tests of the arbitrage pricing model breeden gibbons and litzenberger 1989 present multivariate tests of the consumption based capm although these papers assume the normality of asset returns little analysis has been conducted to understand the sensitivity of the inferences to violations of this assumption 2 3

the mean variance efficiency of benchmark portfolios uk evidence abstract this paper examines the ex ante mean variance efficiency of four alternative benchmark portfolios within a uk context each of the benchmark portfolios is shown to be mean variance inefficient over the period january 1980 to december 1989 additionally the gibbons et al test statistic of efficiency appears to be fairly robust to violations in the distributional assumptions gibbons m r s a ross and j shanken 1989 test of the efficiency of a given portfolio econometrica 57 1121 1152

portfolio rebalancing and the turn of the year effect this paper finds that for the 1935 1986 period the market s risk return relation does not have a january seasonal the findings differ from those of other studies due to the use of value weighted rather than equally weighted portfolios inferences are sensitive to the weighting procedure because of the small firm return patterns in january in particular even in those januaries for which the market return is negative small firm returns are positive and they are more positive the higher is beta this is consistent with the portfolio rebalancing explanation of the turn of the year effect since at least 1926 the average return on small firms in january has been unusually high a phenomenon known as the turn of the year effect in this paper we present new evidence regarding the risk return characteristics of small firms in january we find that for small firms there is a positively sloped riskreturn relation in both up and down markets this pattern is difficult to reconcile with the belief that the high return on small firms in january is equilibrium compensation for risk bearing we show how these patterns in small firms returns have led others to conclude that the market s risk return relation has a january seasonal in particular rozeff and kinney 21 and tinic and west 22 23 among others using equally weighted portfolios formed on the basis of historical betas have found a steeper slope for the capm s risk return relation in january than in other months we demonstrate that this pattern exists only for small firms consequently statistical inferences about the risk return relation are heavily dependent upon whether equally weighted or value weighted portfolio returns are used in the estimation we show that for 1935 86 when monthly cross sectional regressions are estimated using value weighted portfolio returns there is no more of a statistically significant difference in the estimated return to risk bearing in january than in the other eleven months of the year the notion that there is a january seasonal in the capm s risk return relation for the us has rapidly become accepted knowledge for example corhay hawawini and michel 6 accept this conclusion and investigate whether other

further international evidence on asset pricing the case of the spanish capital market abstract a multivariate framework is used in order to study the price formation of risky assets in the spanish capital market issues regarding the efficiency of the spanish value weighted stock market index the validity of equilibrium considerations the size effect and the nature of the return generating process during january are analyzed

multivariate tests of the zero beta capm abstract a cross sectional regression test csrt of the capm is developed and its connection to the hotelling t2 test of multivariate statistical analysis is explored algebraic relations between the csrt the likehood ratio test and the langrange multiplier test are derived and a useful small sample bound on the distribution function of the csrt is obtained an application of the csrt suggests that the crsp equally weighted index is inefficient but that the inefficiency is not explained by a firm size effect from february to december

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

exact arbitrage pricing and the minimum variance frontier the author examines the relationship between the arbitrage pricing theory of ross and mean variance analysis in particular conditions are derived on the vector of the factor risk premia that are equivalent to the existence of a strictly positively weighted portfolio on the minimum variance frontier also a sufficient condition is given under which the existence of a positive minimum variance portfolio of all the assets in the economy will imply the existence of a positive minimum variance portfolio on a subset this means that rejection of the hypothesis of the existence of a positive minimum variance portfolio on a subset satisfying this condition implies rejection for the whole set a growing body of literature explores the relationship between the arbitrage pricing theory apt of ross 13 14 and the mean variance model among the early work in this direction were the papers of chamberlain and rothschild 2 and chamberlain 1 these papers examine a sequence of economies and characterize the relationship in the limit between the mean and portfolio cost functionals and the minimum variance frontier chamberlain 1 also gives a condition under which exact arbitrage pricing will hold dybvig 4 and grinblatt and titman 7 examine equilibrium models in an apt context for a finite economy they derive sharp bounds on the deviation from exact arbitrage pricing recent papers by huberman kandel and stambaugh 9 and grinblatt and titman 8 explore the relationship between the apt and the mean variance model by studying portfolios that can be used as proxies for the factors and examining the relationship these portfolios bear to the minimum variance frontier these two papers also deal with equilibrium models in spite of the number and variety of equilibrium apt models the question of the pricing of factor risk in equilibrium remains largely unexplored this paper makes some progress in addressing that issue by looking at a given equilibrium restriction and studying the constraints it imposes on the vector of factor premia itself the most familiar equilibrium restriction we might study is the central implication of the capital asset pricing model capm that the market portfolio is efficient in particular no portfolio with the same expected return as the market portfolio has a smaller variance the restriction we actually study is weaker than

hedonic wages and labor market search this article investigates the consequences of labor market search for the theory of hedonic wages we find that the introduction of search has surprising consequences for the theory of hedonic wages in particular we demonstrate that the equilibrium distribution of wage and nonwage amenity bundles generally bears little resemblance to workers underlying preferences a consequence of this analysis is that estimates of workers marginal willingness to pay derived from the conventional hedonic wage methodology are biased in addition we demonstrate that search generates differences between firm level and employee level data that can cause substantial deviations in the estimates of hedonic wage equations

sensitivity of multivariate tests of the capital asset pricing model to the return measurement interval the capital asset pricing model s capm primary empirical implication is a positively sloped linear relation between a security s expected rate of return and its relative risk beta recent research indicates that inferences about the riskreturn relation are sensitive to the choice of the return measurement interval we perform multivariate tests of the sharpe lintner capm using monthly and annual returns on market value ranked portfolios the capm is rejected using monthly returns a result consistent with previous research in contrast we fail to reject the capm when annual holding period returns are used the capital asset pricing model s capm primary empirical implication is a positively sloped linear relation between a security s expected rate of return and its relative risk beta

on multivariate tests of the capm abstract this paper evaluates the power of multivariate tests of the capital asset pricing model the results indicate that when employing an unspecified alternative hypothesis the ability of the tests to distinguish between the capm and other pricing models is poor an upper bound is derived for the distance the alternative distribution of the test statistic can be from the null distribution when the deviations from the capm are due to missing factors this upper bound explains the low power of the tests

wage differentials employer size and unemployment the unique equilibrium solution to a game in which a continuum of individual employers choose permanent wage offers and a continuum of workers search by sequentially sampling from the set of offers is characterized wage dispersion is a robust outcome provided that workers search while employed as well as when unemployed the unique nondegenerate equilibrium distribution of wage offers is constructed for three cases 1 identical workers and employers 2 identical employers and an atomless distribution of worker supply prices and 3 identical workers and an atomless distribution of job productivities copyright 1998 by economics department of the university of pennsylvania and the osaka university institute of social and economic research association

a note on the geometry of shanken s csr t2 test for mean variance efficiency abstract shanken 1985 derives a test for the zero beta capital asset pricing model capm which as he points out is equivalent to a test of the mean variance efficiency of the market portfolio this note illustrates the geometry of shanken s test in the mean variance space

spillovers across european sovereign credit markets and role of surprise and uncertainty we identify the network structure of spillovers and time varying spillover intensities across european sovereign credit markets proposing a novel copula granger causality based structural vector au

small sample tests of portfolio efficiency abstract this paper presents an eigenvalue test of the efficiency of a portfolio when there is no riskless asset complementing the test of gibbons ross and shanken 1989 besides optimal upper and lower bounds an easily implented numerical method is provided for computing the exact p value our approach makes it possible to draw statistical inferences on the efficiency of a given portfolio both in the context of the zero beta capm and with respect to other linear pricing models as an application using monthly data for every consecutive five year period from 1926 to 1986 we reject the efficiency of the crsp value weighted index for most periods

nonnormalities and tests of asset pricing theories the robustness of the multivariate test of gibbons ross and shanken 1986 to nonnormalities in the residual covariance matrix is examined after considering the relative performance of various tests of normality simulation techniques are used to determine the effects of nonnormalities on the multivariate test it is found that where the sample nonnormalities are severe the size and or power of the test can be seriously misstated however it is also shown that these extreme sample values may overestimate the population parameters hence we conclude that the multivariate test is reasonably robust with respect to typical levels of nonnormality in traditional hypothesis testing a nonrandom test maps the values of a random variable into a sample space dichotomized into regions where a hypothesis is either accepted or rejected there are three possible outcomes from this process 1 a correct decision 2 a false rejection type i error or 3 failure to reject the hypothesis when it is false type ii error of the latter two types of error an error of the first kind is usually considered less desirable so typically a level of significance is selected with low probability of type i error e g 0 05 or 0 01 and a test is chosen so as to maximize power minimize probability of type ii error for the specified level of type i error knowledge of the relative level of these two errors is critical in assimilating the results of an experiment for example if the power of a test is equal to its significance level i e a weak test rejection of the null contains zero information 2 additionally in constructing parametric tests of hypotheses it is necessary to assume some distribution for the underlying data consequently when using parametric tests rejection of the null is only equivalent to rejection of at least one of the underlying hypotheses i e the null hypothesis or the distributional assumption interestingly the size significance level and power of procedures used to test

the efficiency of search under competition and monopsony this paper compares monopsonistic and competitive search equilibria while the competitive equilibrium is efficient the monopsonistic equilibrium is not there is too much search and the employment rate is too low

a critique of latent variable tests of asset pricing models abstract latent variable tests of asset pricing models make assumptions about the joint distribution of observable returns and unobservable benchmark returns these tests can falsely accept models when a mean variance efficient portfolio other than the benchmark satisfies the distributional assumptions imposed on the benchmark portfolio also because the assumptions are untestable there is no way to discover whether a model is being rejected because the assumptions are false without these assumptions however latent variable tests can be viewed only as tests of distributional hypotheses about mean variance efficient portfolios of unknown composition

search and nonwage job characteristics this paper quantifies the importance of nonwage job characteristics to workers by estimating a structural on the job search model the model generalizes the standard search framework by allowing workers to search for jobs based on both wages and job specific nonwage utility flows within the structure of the search model data on accepted wages and wage changes at job transitions identify the importance of nonwage utility through revealed preference the estimates reveal that utility from nonwage job characteristics plays an important role in determining job mobility the value of jobs to workers and the gains from job search

the likelihood ratio test statistic of mean variance efficiency without a riskless asset abstract the question whether a given porfolio is mean variance efficient is a basic problem of investment analysis mean variance efficiency is also the basis of the capital asset pricing model this paper presents the explicit form of the likelihood ratio test of the hypothesis that a given portfolio or a particular market index is ex ante mean variance efficient in the case where there is no riskless asset geometric relations are illustrated to provide intuition about the constrained maximum likelihood estimators and the test statistic and two simple economic interpretations of the test are given

subperiod aggregation and the power of multivariate tests of portfolio efficiency abstract when testing portfolio efficiency empiricists usually perform tests using subperiods and aggregate the results in some manner although the power of individual subperiod tests has been studied previously little is known about the power of the aggregate test power is evaluated here through simulations using two different aggregation techniques aggregate power is substantially higher than that for a single subperiod for example in one scenario the aggregate power is 0 77 over a sixty year period but only 0 17 for each five year subperiod in addition the level of power depends on the method of aggregation

on the exclusion of assets from tests of the mean variance efficiency of the market portfolio an extension this paper extends kandel s 3 analysis of the testability of the mean variance efficiency of a market index when the return on some component of the index is not perfectly observable in addition to information about the mean and variance of the missing asset considered by kandel we explore the usefulness of information about the beta of the missing asset on the observed sub portfolio in an economy with a riskless asset the results are somewhat more supportive of the notion that mean variance efficiency is testable on a subset of the assets in his important critique of tests of the capital asset pricing model roll 4 emphasizes that empirical results obtained with market proxies need not be indicative of the results that would be obtained in testing the efficiency of the true market portfolio were it observable more recently kandel 3 has analyzed the testability of the mean variance efficiency of a market portfolio when the return on some component of the portfolio is not perfectly observable but partial information about its characteristics is available he finds that knowledge of the market share and expected return of the missing asset is not sufficient to permit a test however bounding the variance of return on the missing asset does make it possible in principle to correctly reject the efficiency of the portfolio provided that the market share of the missing asset is not too large building on the analytical framework established by kandel we explore the value of information about the riskless rate of return and the covariance betwen the return on the missing asset and the observed sub portfolio given a riskless asset the question we address is whether the unobservable market portfolio of risky assets is equal to the tangency portfolio of the efficient frontier we find that knowledge of the market share and expected return of the missing asset is still not sufficient to permit a test of this more restrictive efficiency condition as in the no riskless asset case given a bound on the variance of the missing asset it is sometimes possible to correctly infer that the unobserved portfolio is inefficient this occurs when the market share of the missing asset or the variance of its return is small and the sub portfolio is sufficiently far from the linear

fiscal policy driven bond risk premia abstract fiscal policy matters for bond risk premia empirically government spending level and uncertainty predict bond excess returns as well as term structure level and slope movements shocks to government spending level and uncertainty are also priced in the cross section of bond and stock portfolios theoretically government spending level shocks raise inflation when marginal utility is high thus generating positive inflation risk premia term structure level effect uncertainty shocks steepen the yield curve slope effect producing positive term premia these effects are consistent with evidence from a structural vector autoregression asset pricing tests using model simulated data corroborate our empirical findings

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

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

potential performance and tests of portfolio efficiency abstract the potential performance of an asset set may be obtained by choosing the portfolio proportions to maximize the sharpe 1966 performance measure if a portfolio has a sharpe measure equivalent to the potential performance of the underlying set of assets then it is efficient multivariate statistical procedures for comparing potential performance and testing portfolio efficiency are developed and then evaluated using simulations two likelihood ratio statistics are then used to compare stock and bond indices against sets of 20 and 40 portfolios the procedures are also compared to the gibbons 1982 methodology for testing financial models

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

a new approach to international arbitrage pricing this paper uses a nonlinear arbitrage pricing model a conditional linear model and an unconditional linear model to price international equities bonds and forward currency contracts unlike linear models the nonlinear arbitrage pricing model requires no restrictions on the payoff space allowing it to price payoffs of options forward contracts and other derivative securities only the nonlinear arbitragepricing model does an adequate job of explaining the time series behavior of a cross section of international returns the idea that a few relevant state variables explain expected returns is the main driving force of the seminal papers of merton 1973 and ross 1976 these seminal ideas have been extended to the pricing of international assets by ikeda 1991 ross and walsh 1983 solnik 1974 1983 and stulz 1981 among others the key implication of these arbitrage pricing models is that only risks related to these factors state variables are relevant in determining asset prices testable implications of these international asset pricing models have been derived either by placing restrictions on the payoff structure i e payoffs are linear in factors as in ikeda 1991 ross and walsh 1983 and solnik 1983 or on the joint distributions of the payoffs and state variables as in constantinides 1989 these restrictions lead to the testable implication that expected asset returns are linear in the conditional covariances with the factor payoffs in what follows we refer to these models as linear arbitrage models or linear models

stock prices and volume the authors undertake a comprehensive investigation of price and volume co movement using daily new york stock exchange data from 1928 to 1987 they adjust the data to take into account well known calendar effects and long run trends to describe the process they use a seminonparametric estimate of the joint density of current price change and volume conditional on past price changes and volume four empirical regularities are found 1 positive correlation between conditional volatility and volume 2 large price movements are followed by high volume 3 conditioning on lagged volume substantially attenuates the leverage effect and 4 after conditioning on lagged volume there is a positive risk return relation article published by oxford university press on behalf of the society for financial studies in its journal the review of financial studies

multivariate proxies and asset pricing relations abstract a framework is developed in which inferences can be made about the validity of an equilibrium asset pricing relation even though the central aggregate in this relation is unobservable a multivariate proxy for the true market portfolio consisting of an equal weighted stock index and a long term government bond index is employed in an investigation of the sharpe lintner capm the empirical evidence suggests that we can reject the joint hypothesis that a capm is valid and b multiple correlation between the true market portfolio and proxy assets exceeds 0 7 connections to the equilibrium factor pricing literature are also explored

the analytics of performance measurement using a security market line security market line sml analysis while an important tool has never been fully justified from a theoretical standpoint assuming symmetric information and an inefficient index we show that sml analysis can be grossly misleading since in general efficient and inefficient portfolios can plot above and below the sml on a more positive note if sml analysis uses the return on a marketed riskless asset for the zero beta rate efficient portfolios must plot above the sml nonetheless arbitrarily inefficient portfolios also plot above the sml mean variance theory is still the premier theory in finance it continues to survive theoretical criticism and empirical rejection2 and it does so in no small part because of the popularity of using deviations from the security market line sml in performance measurement of portfolio managers and in event studies of the price impact of information the sml is the relationship between risk and return predicted by the mean variance model namely that risk as measured by beta and expected return are linearly related sml analysis interprets deviations in expected return from the sml as abnormal returns above or below what is appropriate or warranted for the amount of risk taken on however in the mean variance model all assets and portfolios lie on the sml ex ante and any ex post deviations from the sml are attributable solely to statistical measurement errors it is for this reason that roll 22 25 has argued that justification for sml analysis must lie outside the original mean variance model the purpose of this paper and its companion paper dybvig and ross 8 is to study whether sml analysis is valid in several plausible theoretical frameworks i e whether theory justifies intuition specifically in this article we examine the validity of using sml analysis when the index portfolio is inefficient in the companion paper we look at performance yale school of management the authors appreciate especially helpful comments from michael brennan gregory conner mike gibbons mark grinblatt jon ingersoll paul pfeiderer and richard roll the first author is grateful for support under the batterymarch fellowship program and the second author is grateful for support from the national science foundation this paper and its campanion paper dybvig and ross 8 evolved from dybvig and ross 7

testing for linear and nonlinear granger causality in the stock price volume relation linear and nonlinear granger causality tests are used to examine the dynamic relation between daily dow jones stock returns and percentage changes in new york stock exchange trading volume we find evidence of significant bidirectional nonlinear causality between returns and volume we also examine whether the nonlinear causality from volume to returns can be explained by volume serving as a proxy for information flow in the stochastic process generating stock return variance as suggested by clark s 1973 latent common factor model after controlling for volatility persistence in returns we continue to find evidence of nonlinear causality from volume to returns

event studies in economics and finance the event study is an important research tool in economics and finance the goal of an event study is to measure the effects of an economic event on the value of firms event study methods exploit the fact that given rationality in the marketplace the effects of an event will be reflected immediately in security prices thus the impact can be measured by examining security prices surrounding the event in this paper event study methods are described including some of the potential complications an example is included to illustrate the approach

consumption volatility production volatility spot rate volatility and the returns on treasury bills and bonds abstract the study documents a relation between the expected holding period premiums on treasury bills and the ex ante conditional volatilities of consumption spot one month interest rate and industrial production a model portraying the relation as a risk and return phenomenon is presented and tested consistent with the model the coefficients of the relation appear to depend on the sensitivity of the realized premium to the ex post shocks in consumption industrial production and the spot rate the model fits the data better than the traditional term premium models

a markov model of heteroskedasticity risk and learning in the stock market abstract we examine a variety of models in which the variance of a portfolio s excess return depends on a state variable generated by a first order markov process a model in which the state is known to economic agents is estimated it suggests that the mean excess return moves inversely with the level of risk we then estimate a model in which agents are uncertain of the state the estimates indicate that agents are consistently surprised by high variance periods so there is a negative correlation between movements in volatility and in excess returns

estimating quadratic variation using realized variance this paper looks at some recent work on estimating quadratic variation using realised variance rv that is sums of m squared returns this econometrics has been motivated by the advent of the common availability of high frequency financial return data when the underlying process is a semimartingale we recall the fundamental result that rv is a consistent as m estimator of quadratic variation qv we express concern that without additional assumptions it seems difficult to give any measure of uncertainty of the rv in this context the position dramatically changes when we work with a rather general sv model which is a special case of the semimartingale model then qv is integrated variance and we can derive the asymptotic distribution of the rv and its rate of convergence these results do not require us to specify a model for either the drift or volatility functions although we have to impose some weak regularity assumptions we illustrate the use of the limit theory on some exchange rate data and some stock data we show that even with large values of m the rv is sometimes a quite noisy estimator of integrated variance

risk inflation and the stock market most explanations for the decline in share values over the past two decades have focused on the concurrent increase in inflation this paper considers an alternative explanation a substantial increase in the riskiness of capital investments we show that the variance of firms real gross marginal return on capital has increased significantly increasing the relative riskiness of investors returns on equity and that this can explain a large part of the market decline we also assess the effects of increase in the mean and variance of the inflation rate and a decline in firms expected return on capital this abstract was borrowed from another version of this item this abstract was borrowed from another version of this item this abstract was borrowed from another version of this item this abstract was borrowed from another version of this item this abstract was borrowed from another version of this item this abstract was borrowed from another version of this item this abstract was borrowed from another version of this item this abstract was borrowed from another version of this item this abstract was borrowed from another version of this item this abstract was borrowed from another version of this item this abstract was borrowed from another version of this item this abstract was borrowed from another version of this item this abstract was borrowed from another version of this item this abstract was borrowed from another version of this item this abstract was borrowed from another version of this item this abstract was borrowed from another version of this item this abstract was borrowed from another version of this item this abstract was borrowed from another version of this item

positively weighted portfolios on the minimum variance frontier duality theory is employed to provide necessary and sufficient conditions for portfolios on the minimum variance frontier to have positive investment proportions in all assets these conditions involve the feasibility of portfolios that have non negative correlation with all assets and positive correlation with at least one using these results several qualitative results concerning the signs of investment proportions in efficient portfolios are proved it is argued that the conditions that ensure all positive weights in efficient portfolios are intuitively compelling and are not unique to the capm with large numbers of assets however the signs of weights in minimum variance portfolios can be very sensitive to slight departures from these conditions due to for example sampling error the behavior of the minimum variance frontier is of general concern to portfolio theory and plays a central role in the study of asset pricing an unresolved question in the theory of the minimum variance frontier involves when it will contain portfolios with positive weights on all assets this paper addresses that question we show that the conditions that ensure positive investment proportions in efficient portfolios have by farkas lemma a simple dual this dual or alternative system of inequalities puts conditions directly on the variances covariances and means of the returns and these conditions can be interpreted intuitively this contrasts with simply considering the first order conditions for variance minimization since these involve the inverted covariance matrix with a large number of assets it can be difficult to translate one s intuitive sense about how assets covary into statements about the inverse of the covariance matrix the duality conditions we derive involve the existence of portfolios that are positively or negatively correlated with all assets indeed we show that a necessary and sufficient condition for no portfolio on the frontier to have all positive weights is the feasibility of an arbitrage or hedge portfolio with weights that sum to zero that has an expected payoff of zero and has non negative correlation with all assets the duality conditions also make it easy to construct examples of the types of covariability that permit or preclude positive investment proportions on all assets in frontier portfolios there are at least three apparent reasons for interest in the signs of weights

an empirical comparison of alternative models of capital asset pricing in germany abstract in an empirical investigation this research finds that the capm is a better explanatory model of risk return relationships in the german stock market than the ccapm

an international capm for bonds and equities abstract previous empirical studies of international capm models have not found much supporting evidence in this paper we suggest reasons why this might have happened and perform new tests using improved models and data a range of monthly capm models are estimated for 1973 1987 for aggretate equities and bonds in germany japan the us and uk the models are an improvement on earlier work in that we integrate equity markets into the analysis instead of focusing exclusively on government bond stocks and we carefully measure the rates of return for both bonds and equities in particular bond returns reflect changes in the price of bonds as well as coupons despite this wider portfolio and the introduction of arch effects in the conditional covariance matrix of errors our model still yields unlikely estimates of the coefficient of relative risk aversion and provides very little explanatory power for expected relative rates of return correcting the icapm for these major deficiencies does not reverse earlier conclusions in the literature a close examination of the residuals of the estimated equations suggest that garch models are not required for our new data set jel fh

the relation between price changes and trading volume a survey this paper reviews previous and current research on the relation between price changes and trading volume in financial markets and makes four contributions first two empiri cal relations are established volume is positively related to the magnitude of the price change and in equity markets to the price change per se second previous theoretical research on the price volume relation is summarized and critiqued and major insights are emphasized third a simple model ofthe price volume relation is proposed that is consis tent with several seemingly unrelated or contradictory observations and fourth several directions for future research are identified

a unified beta pricing theory abstract this paper derives ross s mutual fund separation theory and a new equilibrium version of ross s arbitrage pricing theory as special cases of a general theory the paper also reveals that the two theories are identical in their predictions of asset prices and portfolio returns the capital asset pricing model a restricted case of the mutual fund separation theory receives special treatment

a monte carlo investigation of the accuracy of multivariate capm tests abstract in a multivariate regression model relating individual returns to the market return capm implies non linear restrictions on the parameters several asymptotically valid tests of these restrictions have been suggested the existing monte carlo evidence shows that some of these tests are unreliable for reasonable sample sizes but does not indicate well which tests are reliable this paper reports the results of an extensive monte carlo experiment shanken s csr test and jobson and korkie s corrected likelihood ratio test are quite accurate in all cases we consider

reference variables factor structure and the approximate multibeta representation the arbitrage pricing theory apt implies that if asset returns have a factor structure then an approximate multibeta representation holds with respect to the factors as reference variables this paper assumes that asset returns satisfy a factor structure and derives a condition under which the approximate multibeta representation holds with respect to a set of reference variables which may not be the factors this condition is that the regression matrix of the reference variables on the factors is nonsingular implications for the testability of the apt are also discussed

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

asset trading transaction costs and the equity premium summary a model is developed that attempts to explain the historical size of the us equity premium by distinguishing between gross and net returns accruing to agents the model derived by mehra and prescott 1985 is augmented with a bid ask spread calibrated and simulated equity premia in the order of 3 4 are generated for plausible values of the transactions parameters this contrasts with mehra and prescott who find a maximum equity premium of 0 4 while the historic equity premium has been about 6 2 estimates of the bid ask spread are obtained using gmm and tests of the overidentifying restrictions are not rejected for several lists of instrumental variables

the current state of the arbitrage pricing theory this paper provides a simple proof of a recent theorem presented by reisman 1992 concerning the use of proxies for the factors in the return generating process of the arbitrage pricing theory apt in the single factor case the theorem asserts that any variable correlated with the factor can serve as the benchmark in an approximate apt expected return relation the significance of this result is considered and a new direction for empirical work on arbitrage pricing is outlined given a factor model for an infinite sequence of asset returns ross 1976 showed that the absence of arbitrage implies an approximate linear relation between expected returns and the factor betas ross assumed that returns conform to a strict factor structure i e a factor model with uncorrelated disturbances but noted that this condition could be weakened in deriving the arbitrage pricing theory apt nonetheless statistical methods based on the strict factor model assumption dominated the early empirical work on the apt at first glance the requirement of a strict factor structure appeared to impose a strong restriction on the sets of factors that could be used as a benchmark for measuring systematic risk shanken 1982 demonstrated though that virtually any variables could serve as the factors in a welldefined strict factor model one need only repackage an initial finite set of assets into an equivalent set of portfolios in order to fundamentally alter the associated factor space 2 thus the statistical assumptions underlying the apt cannot by themselves characterize the economically relevant components of returns chamberlain and rothschild 1983 shifted attention away from strict factor structures by proving that the apt holds more generally if returns conform to an approximate factor model 3 in this case the disturbances need

on correlations and inferences about mean variance efficiency a framework is presented for investigating the mean variance efficiency of an unobservable portfolio based on its correlation with a proxy portfolio a sensitivity analysis derives the highest correlation between the proxy and a portfolio that reverses the inference of a test of sharpe lintner tangency for example the maximum correlation between the value weighted nyse amex portfolio and a portfolio inferred tangent ranges from 0 76 to 0 48 we also test whether the correlation between the proxy and the tangent portfolio exceeds a given level this hypothesis is often rejected for the nyse amex proxy at a correlation of 0 7

orthogonal frontiers and alternative mean variance efficiency tests this paper catalogues properties of minimum norm orthogonal portfolios portfolios which minimize a quadratic objective function and have returns uncorrelated with those of a candidate portfolio that is not mean variance efficient the analysis shows that the dollar versions of these portfolios correspond to estimators of zero beta rates based on alternative statistical criteria and grouping procedures while costless orthogonal portfolios represent candidate mean variance efficiency tests it also develops inference procedures for zero and unit net investment portfolios of individual securities instead of grouped portfolios that have zero expected betas the resulting mean variance efficiency tests are reasonably insensitive to the underlying statistical assumptions i introduction most mean variance efficiency tests follow from the following simple intuition if a given portfolio p is mean variance efficient all portfolios that cost a dollar and have returns uncorrelated with those of p i e zero beta portfolios have identical expected returns hence all costless zero beta portfolios have expected returns of zero when p is mean variance efficient however the situation is altered considerably when p is not a mean variance efficient portfolio in this case roll 1980 has shown that there are portfolios that cost a dollar and have returns uncorrelated with those ofp at all levels of mean return as a consequence there are costless zero beta portfolios at all levels of expected return as well when p is inefficient mean variance efficiency tests typically involve asking whether particular costless zero beta portfolios have zero expected returns the translation of this intuition into operational test statistics is a problem in sampling theory for example when tests are based on costless portfolios with zero sample betas appropriate allowance must be made for the impact of sampling error in the sample betas on the distribution of its mean return such analysis is extremely complicated when the number of assets included in such portfolios exceeds the number of time series observations on asset returns hence previous investigations have restricted their attention to the special case where the number of assets is taken to be smaller than the number of time series observations an enormous amount has been learned about both the statistical properties and economic interpretation of two such tests in these circumstances shanken s 1985 csr test and the related likelihood ratio test of kandel 1984 a partial list of relevant papers includes roll 1979 1985 gibbons 1982 stambaugh

an explicit bound on individual assets deviations from apt pricing in a finite economy abstract ross s arbitrage pricing theory apt is a tractible and reasonable alternative to the mean variance model nonetheless understanding of the theory has been obscured by the complexity of the sequence economy models used for motivation by contrast we give a simple and direct derivation of the apt in a finite economy using an explicit bound on the deviations from apt prices across assets a coarse calculation shows that theoretical deviations from apt pricing are negligible in our economy

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

multivariate tests of asset pricing the comparative power of alternative statistics this paper examines estimation issues associated with multivariate tests of asset pricing two issues are considered 1 the constraint that the sample size n must be less than the time series t and 2 the relative effect on power of using the multivariate statistic versus a univariate counterpart we find that an alternative statistic that allows for large n does not dominate the usual portfolio tests more notably we find that the power of a simple diagonal statistic usually dominates the multivariate statistic for cases considered inthis study

on the job search with match specific amenities we construct an equilibrium on the job search model in which workers value wages and amenities we show by example that in a standard burdett mortensen model with a distribution of worker tastes over amenities worker mobility need not imply equilibrium wage dispersion

block holding and keiretsu in japan the effects of capital markets liberalization measures on the stock market abstract long term block holding among large industrial corporations and financial institutions is prevalent in japan little is known about the implications of such business practice on portfolio returns we document the portfolio relationships of parent firms sub firms and specific industry portfolios and we hypothesize that these relationships have changed substantially in japan using certain measures for evaluating portfolios and mean variance spanning we test the hypothesis our empirical results suggest that market efficiency and integration of the japanese stock market may have been greatly enhanced by the japanese government s capital markets liberalization measures implemented in the 1970s and early 1980s

a nonparametric test for granger causality in distribution with application to financial contagion this article introduces a kernel based nonparametric inferential procedure to test for granger causality in distribution this test is a multivariate extension of the kernel based granger causality test in tail event the main advantage of this test is its ability to examine a large number of lags with higher order lags discounted in addition our test is highly flexible because it can be used to identify granger causality in specific regions on the distribution supports such as the center or tails we prove that the test converges asymptotically to a standard gaussian distribution under the null hypothesis and thus is free of parameter estimation uncertainty monte carlo simulations illustrate the excellent small sample size and power properties of the test this new test is applied to a set of european stock markets to analyze spillovers during the recent european crisis and to distinguish contagion from interdependence effects

portfolio analysis with a large universe of assets covariance matrix optimization algorithms are applied to a large number of assets a previous paper by burgess and bey 1988 suggests that attempting to optimize a large number of securities with the traditional covariance matrix model is not practical an alternative approach ranks the securities with the reward to volatility reward to beta ratio and then optimizes a smaller subset of securities with the covariance matrix model this study proposes additional screening methods such as stochastic dominance reward to variability r v ratios reward to lower partial moment r lpm ratios and the optimization of subgroups and provides an empirical test of the various screening methodologies the results indicate that the full covariance critical line optimization algorithm is surprisingly robust compared to the other techniques

the pervasive absence of compensating differentials we study the relation between individual preferences for job amenities e g type of work job security and compensating wage differentials in cross section to this end we estimate a partial equilibrium job search model on panel data from eight european countries there are five non wage job characteristics and two sources of job to job mobility on the job search and reallocation shocks we also allow for two types of unobserved heterogeneity we find strong preferences for amenities especially job security yet these preferences do not translate into significant wage differentials in cross section counterfactual experiments show that one would need extremely low levels of search frictions for compensating differentials to arise lastly a similar exercise on the distribution of job change outcomes reveals the role of constrained job to job mobility in the absence of compensating wage differentials copyright 2009 john wiley sons ltd

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

making inefficient market indices efficient this paper uses the concept of marginal conditional stochastic dominance and a generalization of the 50 portfolio rule to develop a tractable and parsimonious methodology for constructing a second degree stochastic dominance ssd efficient portfolio from a given inefficient index because the ssd approach considers the entire probability distributions of asset returns the resulting portfolios are efficient with respect to all risk averse utility maximizing investors regardless of the form of their utility functions or the distributions of asset returns