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

competition between private and public schools vouchers and peer group effects a theoretical and computational model with tax financed tuition free public schools and competitive tuition financed private schools is developed students differ by ability and income achievement depends on own ability and on peers abilities equilibrium has a strict hierarchy of school qualities and two dimensional student sorting with stratification by ability and income in private schools high ability low income students receive tuition discounts while low ability high income students pay tuition premia tuition vouchers increase the relative size of the private sector and the extent of student sorting and benefit high ability students relative to low ability students

dynamic portfolio choice with parameter uncertainty and the economic value of analysts recommendations we derive a closed form solution for the optimal portfolio of a non myopic utility maximizer who has incomplete information about the alphas or abnormal returns of risky securities we show that the hedging component induced by learning about the expected return can be a substantial part of the demand using our methodology we perform an ex ante empirical exercise which shows that the utility gains resulting from optimal allocation are substantial in general especially for long horizons and an ex post empirical exercise which shows that analysts recommendations are not very useful

odd versus even comparative statics in multicommunity models abstract this paper examines the comparative statics properties of multicommunity models in which perfect sorting is not obtained because the number of types of individuals is greater than the number of communities in general equilibrium is inefficient and policy interventions can be pareto improving the paper shows that the welfare effects of a given policy depend critically on whether the number of communities is odd or even the same policy intervention that is pareto improving for an even number of communities can make all worse off if the number of communities is odd

non existence of equilibria in multicommunity models abstract this paper reconsiders equilibrium existence in models with migration and voting over local public goods we show that under some straightforward assumptions on preferences and income distributions the basic structure of multicommunity models i e perfect mobility majority rule single crossing property implies that no equilibrium with jurisdictions conducting different policies can exist stratification equilibria with sorting of the population according to income classes are therefore not as natural as is sometimes suggested mechanisms that can serve to support stratification i e tight housing markets returns to scale in the provision of publicly consumed goods are discussed

mobility and redistribution the ability of individuals to move freely from one jurisdiction to another is generally seen as a constraint on the amount of redistribution that each jurisdiction within a system of governments can undertake in this paper we look at this proposition by developing a positive analysis of income redistribution by local governments in a federal system we ask how much redistribution occurs when only local governments can have tax transfer instruments individuals can move freely among jurisdictions and voters in each jurisdiction are fully aware of the migration effects of redistributive policies local redistribution is shown to induce sorting of the population with the poorest households located in the communities that provide the most redistribution while the threat of out migration affects the potential for redistribution our results suggest that significant local redistribution is nonetheless feasible numerical computations indicate that the proportion of residents who are renters is a major factor affecting the local choice of level of redistribution

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

asymmetry loss aversion and forecasting conditional volatility models such as garch have been used extensively in financial applications to capture predictable variation in the second moment of asset returns however with recent theoretical literature emphasising the loss averse nature of agents this paper considers models which capture time variation in the second lower partial moment utility based evaluation is carried out on several approaches to modelling the conditional second order lower partial moment or semi variance including distribution and regime based models the findings show that when agents are loss averse

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

equity and efficiency in human capital investment the local connection a general model of community formation and human capital accumulation with social spillovers and decentralized school funding is used to analyse the causes of economic segregation and its consequences for equity and efficiency significant polarization arises from minor differences in endowments preferences or access to capital markets this makes income inequality more persistent across generations but the same need not be true for wealth equilibrium stratification tends to be excessive resulting in low aggregate surplus whether state equalization of school resources can remedy these problems hinges on how purchased social and family inputs interact in education and in mobility decisions

a utility based comparison of some models of exchange rate volatility abstract when estimates of variances are used to make asset allocation decisions underestimates of population variances lead to lower expected utility than equivalent overestimates a utility based criterion is asymmetric unlike standard criteria such as mean squared error to illustrate how to estimate a utility based criterion we use five bilateral weekly dollar exchange rates 1973 1989 and the corresponding pair of eurodeposit rates of homoskedastic garch autoregressive and non parametric models for the conditional variance of each exchange rate garch models tend to produce the highest utility on average a mean squared error criterion also favors garch but not as sharply

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

optimal binary prediction for group decision making we address the problem of optimally forecasting a binary variable for a heterogeneous group of decision makers facing various binary decision problems that are tied together only by the unknown outcome a typical example is a weather forecaster who needs to estimate the probability of rain tomorrow and then report it to the public given a conditional probability model for the outcome of interest e g logit or probit we introduce the idea of maximum welfare estimation and derive conditions under which traditional estimators such as maximum likelihood or nonlinear least squares are asymptotically socially optimal even when the underlying model is misspecified

equilibrium and inefficiency in a community model with peer group effects public service output depends on input expenditures on own personal characteristics and on the characteristics of the other residents in the community the peer group effect in a community model with public expenditures set by voting with migration between communities and with land price differentials capitalization it is shown that communities may become heterogeneous in composition and second best inefficient this equilibrium occurs when the peer group effect is neither too strong nor too weak the inefficiency arises because an externality is created by migration the land price differential does not play the part of the price of the better peer group but of a transfer payment

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

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

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

the impact of market liberalisation on food security in zambia abstract the main elements in agricultural market liberalisation have been the dismantling of the state institutions for marketing and distribution of agricultural produce the abolition of subsidies the liberalisation of import and export trade and the market determination of input and output prices economic policy reforms on the monetary fiscal and other fronts also impinged on the variables influencing production trade and consumption this paper highlights some of the undesirable offshoots of the previous policy regime and enumerates the specific policies that have been introduced since 1992 it describes the positive and negative outcomes witnessed so far finally it suggests what needs to be done to eliminate the prevailing major constraints to growth in food production and consumption

a critical reexamination of the empirical evidence on the arbitrage pricing theory a reply the paper by dhrymes friend and gultekin dfg in this issue criticizes empirical work on the arbitrage pricing theory apt conducted by ourselves rr 3 and by a number of others we are honored that such eminent professors as dfg have taken an interest in our work unfortunately the dfg paper contains analysis which might foster misconceptions in the casual reader our purpose here is to present a brief nontechnical comment we are confident that those who are inclined to study the dfg paper in detail will be able to discern its merit for themselves the introductory section and the concluding section viii of dfg stress three points first that the method of rr has major pitfalls and is seriously flawed second that individual factors should not be tested for their pricing influence and third that more than three to five factors can be found by increasing the size of the group analyzed we will comment on the reasonableness of the second and third point in some detail the first is a value judgment and as such cannot be disputed on logical grounds we would be the last to object to a reasoned opinion judiciously drawn by dispassionate and unbiased scholars but of course we do not agree with the particular opinion expressed by dfg in sections i and ii dfg repeat the standard development of the apt and make much of the argument that the apt as a null hypothesis in a statistical test is independent of any rotation of the factors they stress their view that the only meaningful tests are those of whether any factors are priced rather than those which test whether some of them are priced and others are not rr raise and analyze precisely this same point 1 and in fact our awareness of this issue led us to conduct f tests of the joint significance of all factor prices see our tables iv and vi despite the rotation problem tests of individual factor pricing have meaning since the factors are extracted in the order of their importance in explaining the covariance matrix of returns it is not only perfectly valid it is also interesting to ascertain if they each have an influence upon pricing the number of statistically significant estimated priced factors can be different than the number of true factors because of chance rotation in the

tiebout and redistribution in a model of residential and political choice abstract the paper considers a two community model with freely mobile individuals individuals differ not only in their incomes but also in their tastes for a local public good in each jurisdiction the amount of public services is determined by majority vote of the inhabitants and local spending is financed by a residence based linear income tax when making their residential and political choices individuals thus face a trade off between the provisionary and redistributive effects of policies we analyze this trade off and show that tiebout like sorting equilibria often exist if the spread in tastes among individuals is very large an almost perfect sorting according to preferences emerges otherwise a partial sorting prevails and stratification into rich and poor communities is more pronounced importantly we demonstrate that all these sorting equilibria exist whether or not individuals are allowed to relocate after voting

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