statistical analysis of shapes in macroeconomic time series is there a business cycle burns and mitchell considered business cycles as recurrent patterns in macroeconomic time series this article develops formal ways of identifying the occurrence of such patterns and testing their significance in particular it calculates the probability that a linear time series model that fits the data well can generate the patterns observed in macroeconomic time series

portfolio choice under transitory price impact abstract we consider a portfolio optimization problem for a short term investor who faces an illiquid stock market the illiquidity of this market results from a transitory price impact that is captured by the transaction costs that are convex in the number of shares traded by an investor the linear component in these costs defines a no trading zone while the nonlinear component does not allow trading the stock at an arbitrary rate the portfolio choice problem is solved when the stock path is continuous and when the stock may crash we find that an economy could be in states where the conditional liquidity premium is of the same order of magnitude as the historical risk premium of the stock market if the illiquid stock undergoes crashes then in many states an investor demands a premium for crashes that is much higher than that in the liquid market finally we study the shape of the no trading zone when the nonlinearity in the transitory price impact is strong or moderate we find that this shape is significantly different from that when the transitory price impact is linear

further evidence on the asymmetric behavior of economic time series over the business cycle evidence has recently been presented by salih neftci to support the hypothesis that recessions in economic activity tend to be steeper and more short lived than recoveries in economic activity that evidence however was confined to the behavior of the unemployment rate in the united states in this paper it is shown that when neftci s methods are applied to analyze the behavior of real gross national product investment and productivity in the united states or when they are used to analyze industrial production abroad the asymmetry hypothesis seems to be less compelling

the role of free entry in an oligopolistic heckscher ohlin model retaining the basic properties of the heckscher ohlin trade model namely free entry and exit fully integrated international commodity markets and the same number of sectors with that of factors the authors develop a two country model with cournot oligopoly in this economy factor price equalization and the standard heckscher ohlin theorem on comparative advantage hold between two countries which are identical except for size however autarkic prices are different even though the level of trade is zero under the free trade regime nevertheless free trade reduces the oligopoly price and increases welfare copyright 1995 by economics department of the university of pennsylvania and the osaka university institute of social and economic research association

ownership dynamics and asset pricing with a large shareholder we analyze the optimal trading and ownership policy of a large shareholder who must trade off diversification and monitoring incentives without commitment the problem is similar to durable goods monopoly the share price today depends on expected future trades we show that the large shareholder ultimately trades to the competitive price taking allocation even though it entails inefficient monitoring with continuous trading the large shareholder trades immediately to this allocation if moral hazard is weak enough that her private valuation of a share is decreasing in her stake otherwise the large shareholder adjusts her stake gradually we consider implications for asset pricing ipo underpricing and lockup provisions

multivariate detrending under common trend restrictions implications for business cycle research abstract this paper outlines a methodology to detrend multiple time series under common trend restrictions the same filters used to construct the estimated trend in univariate exercises are shown to be appropriate in multivariate studies with a single common trend however to estimate the common trend in the multivariate case the filter is applied to a linear combination of series rather than to each series individually an empirical example and simulation exercises illustrate the implications of common trend detrending for measurement of business cycle properties

tax disturbances and real economic activity in the postwar united states abstract this paper investigates the macroeconomic effects of cyclical fluctuations in marginal tax rates it finds that systematically including tax variables in a standard real business cycle model substantially improves the model s ability to reproduce basic facts about postwar u s business cycle fluctuations in particular modeling fluctuations in personal and corporate income tax rates increases the model s predicted relative variability of hours and decreases its predicted correlation between hours and average productivity fluctuations in tax rates produce large substitution effects that alter the leisure labor supply decision

productivity growth consumer confidence and the business cycle abstract the objective of this paper is to provide in the context of a dynamic general equilibrium model an answer to the following five questions 1 to what extent does an economy subject to regular variations in labor productivity growth differ from one where labor productivity is constant 2 what is the impact on major macro indicators of a one time change in labor productivity growth 3 what are the business cycle implications of autonomous non falsifiable changes in growth expectations 4 what is the potential of such expectation changes for explaining the volatility of consumption to output ratio 5 can autonomous changes in growth expectations help us understand recent business cycle episodes

resource allocation in a general equilibrium model of production under uncertainty the case of variable supply of labor abstract this paper examines the effects of a marginal change in uncertainty on resource allocation and factor rewards by relaxing the assumption of factor inelasticity we demonstrate that integrating a variable labor supply into batra s two sector uncertainty model can mitigate or reverse many of the earlier results specifically a marginal increase in uncertainty may trigger the resource to move from the certainty sector to the uncertainty sector in the presence of a backward bending labor supply curve

a new approach to decomposition of economic time series into permanent and transitory components with particular attention to measurement of the business cycle abstract this paper introduces a general procedure for decomposition of non stationary time series into a permanent and transitory component allowing both components to be stochastic the permanent component is shown to be a random walk with drift and the transitory or cyclical component is a stationary process with mean zero the decomposition methodology which depends only on past data and therefore is computable in real time is applied to the problem of measuring and dating business cycles in the portwar u s economy we find that measured expansions and contractions are of roughly equivalent duration and that our dating of cyclical episodes tends to lead the traditional nber dating and to a lesser extent the growth cycle chronology of zarnowitz and boschan 1977

family labor supply and aggregate fluctuations abstract this paper considers an economy which is populated by a continuum of identical families consisting of two members the two members have different productivities and the family faces a fixed utility cost if both members supply labor simultaneously although both family members have the same preferences they display very different elasticities of labor supply a real business cycle model is calibrated and it is seen that this cross sectional heterogeneity results in interesting forms of aggregation bias

current real business cycle theories and aggregate labor market fluctuations hours worked and the return to working are weakly correlated traditionally the ability to account for this fact has been a litmus test for macroeconomic models existing real business cycle models fail this test dramatically we modify prototypical real business cycle models by allowing government consumption shocks to influence labor market dynamics this modification can in principle bring the models into closer conformity with the data our empirical results indicate that it does

output effects of government purchases the theoretical analysis focuses on the distinction between temporary and permanent movements in government purchases under plausible conditions the temporary case involves an output response that is positive less than one to one with the change in government purchases and larger than that generated by an equal sized but permanent shift in purchase the equilibrium real rate of return rise in the temporary case but changes little in the permanent one defense purchases are divided empirically into permanent and temporary components by considering the role of temporary wars no temporary shifts in nondefense purchases were isolated empirical results verify an expansionary output effect for temporary purchases that exceeds that of permanent purchases the results for some other expectational hypotheses are found to be generally supportive of the theory

explaining the absence of international factor price convergence abstract as capital markets have become integrated factor prices have not converged as expected this paper provides an explanation the key observation is that non specific output risks are borne by capital making international portfolio diversification a dominant strategy capital market integration can elicit many patterns of factor price response under this circumstance factor prices will move in parallel if countries are identical when countries differ factor prices may diverge or even have their relative sizes reversed the integration of capital markets affects welfare through changes in risk and in overall returns to savings welfare need not improve

irreversibility and the behavior of aggregate stochastic growth models abstract this paper examines the effects of capital restrictions on aggregate stochastic growth models in a one sector model irreversibility of investment reduces the response of investment to positive shocks to the economy in real business cycle models irreversibility lowers the variation of output investment and hours worked the magnitude of the effects depends on the variance and autocorrelation of productivity shocks in a two sector model constraints on the movement of capital across sectors are more important than depreciation constraints there is evidence that immobility of capital has a significant impact on the sectoral variability of production and hours worked

indivisible labor lotteries and equilibrium abstract this paper considers an economy where labor is indivisible and agents are identical although the discontinuity in labor supply at the individual level disappears as a result of aggregation it is shown that indivisible labor has strong consequences for the aggregate bahavior of the economy it is also shown that optimal allocations involve lotteries over employment and consumption

robust control of forward looking models abstract this paper shows how to formulate and compute robust ramsey aka stackelberg plans for linear models with forward looking private agents the leader and the followers share a common approximating model and both have preferences for robust decision rules because both doubt the model since their preferences differ the leader s and followers decision rules are fragile to different misspecifications of the approximating model we define a stackelberg equilibrium with robust decision makers in which the leader and follower have different worst case models despite sharing a common approximating model to compute a stackelberg equilibrium we formulate a bellman equation that is associated with an artificial single agent robust control problem the artificial bellman equation contains a description of implementability constraints that include euler equations that describe the worst case analysis of the followers as an example the paper analyzes a model of a monopoly facing a competitive fringe

are business cycles asymmetric a correction neftci 1984 proposed a nonparametric test procedure for determining whether business cycles are asymmetric in the sense that contractions are steeper than expansions he found evidence of this type of asymmetry in postwar quarterly u s unemployment variables this comment identifies a probable error in neftci s empirical work that reverses the significance of his results for the unemployment rate and it suggests that this test may have low power and be sensitive to measurement error

indivisible labor and the business cycle abstract a growth model with shocks to technology is studied labor is indivisible so all variability in hours worked is due to fluctuations in the number employed we find that unlike previous equilibrium models of the business cycle this economy displays large fluctuations in hours worked and relatively small fluctuations in productivity this finding is independent of individuals willingness to substitute leisure across time this and other findings are the result of studying and comparing summary statistics describing this economy an economy with divisible labor and post war u s time series

uncertainty and the theory of international trade in long run equilibrium abstract we consider a country with two factors and two industries each of which faces technical and price uncertainty entrepreneurs choose outputs in order to maximize the expected utility of profits they also draw factor payments and purchase consumption goods after the uncertainty isresolved they enter and exit from an industry according to whether participation there increases their expected utility within this model the validity of the propositions of neoclassical trade theory depends on how the entrepreneurs entry decisions are affected by parameter changes via their roles as risk bearers consumers and factor owners

wage distortion and resource allocation under uncertainty the effects of uncertainty on resource allocation have been examined in a two sector general equilibrium model of production constructing a model in which firms are risk indifferent and face uncertainty regarding the use of capital rothenberg and smith 9 considered the implications of uncertainty for welfare resource allocation and income distribution their model was refined by batra 3 to permit uncertainty in production to influence the firms decisions to hire both capital and labor batra s approach appears to be more general in that producers are assumed to be risk averse in lieu of risk neutral the writing of this paper is inspired by batra s contributions 2 3 batra s well known intermediate run equilibrium model is reformulated to allow for wage distortion utilizing the model several issues regarding the effects of changes in factor supplies in commodity prices and in the degree of wage distortion will be examined factor market distortions in the absence of uncertainty have been studied extensively in literature 2 their impacts on resource allocation in stochastic environment have not been explored however we argue that the introduction of the wage differential has a major impact on batra s results first relative value factor intensities generally replace relative physical factor intensities in determining signs of

are economic time series asymmetric over the business cycle it has long been argued that major cyclical variables such as the unemployment rate display an asymmetric behavior over various phases of the business cycle the paper provides a statistical test for this hypothesis using the framework of finite state markov processes i implement a test to see if the behavior of the unemployment rate is characterized by sudden jumps and slower drops it is argued that the framework provided in the paper can also be used to test other sample path properties of economic time series

optimal liquidation strategies and their implications abstract this paper studies optimal liquidation when the selling price depends on the rate of liquidation transaction time volume and the asset s intrinsic value a generic closed form solution for maximizing the discounted liquidation proceeds is derived to obtain financial insights three parametric specifications that proxy for increasingly realistic market conditions are examined in our framework maximizing liquidation proceeds and minimizing liquidity costs are equivalent the optimal strategies imply more rapid liquidations in less liquid markets we also show that volatility is stochastic when market liquidity is unpredictable

dynamic stability and international trade under uncertainty in the presence of output or price uncertainty the heckscher ohlin samuelson h o s model with incomplete risk markets has been shown to exhibit a wide range of perverse comparative statics responses which contradict the predictions d la stolper samuelson and rybczynski and opens up the possibility of perverse price output responses this paper revisits the question raised by neary 1978 and examines the dynamic stability properties of an h o s model under uncertainty in relation to the conditions under which these perverse responses emerge the findings suggest that once the risk attitudes of the representative entrepreneur is appropriately accounted for in the specification of value factor intensities dynamic stability with respect to a marshallian adjustment process is necessary and sufficient for the normality of all of the standard comparative statics responses except for the rybczynski result the basic analytics are then applied to various existing setups of the h o s model under uncertainty in each case the applicability of the stability condition in precluding comparative static responses that violate standard predictions is examined

average marginal tax rates from social security and the individual income tax we extend previous estimates of the average marginal tax rate from the federal individual income tax to include social security our computations consider the tax rates on employers employees and the self employed the income that accrues to persons with earnings below the ceiling and the effective deductibility of employers social security contributions from workers taxable income the next effect of social security on the average marginal tax rate is below 02 until 1966 but then rises to 03 in 1968 04 in 1973 05 in 1974 06 in 1979 and 07 in 1982 this abstract was borrowed from another version of this item

the relative adjustment of wages and prices direct tests within a multiple equation system in order to assess the relative rigidity of the aggregate price level and the nominal wage rate most researchers have focused on the implied behaviour of the real wage rate in response to a purely demand disturbance the present work examines the explicit behaviour of the two variables and is therefore able to analyse the variables short run responses within the context of their defined long run behaviour while the paper reports evidence of long run stability in the real wage rate additional evidence is presented which supports both sticky price and sticky wage models the determining factor is the choice of lag

straight time and overtime in equilibrium abstract we formulate an equilibrium model of straight time and overtime wages by imposing restrictions on agents consumption sets and using a commodity space that includes employment lotteries we extract some time series implications from a linear quadratic approximation to our model evaluated at particular parameter values we use our model informally to interpret some features of observed time series for wages and employment

recessions and recoveries in real business cycle models i introduction do general equilibrium business cycle models generate business cycles that look like the business cycles observed in a modern industrial economy the early real business cycle literature as exemplified by kydland and prescott 1982 hansen 1985 and the papers in the march may 1988 issue of the journal of monetary economics evaluated the ability of dynamic general equilibrium models to generate business cycles by comparing selected second moments of the data generated by the models with those generated by actual detrended data specifically this literature considers the deviations of various macroeconomic aggregates from trend as the cyclical movement that needs to be explained by a model of the business cycle a model is judged to be successful if the second moments generated by the model are close in some informal sense to the second moments found in the data in this paper rather than examine whether real business cycle models can mimic the autocorrelation and cross correlation properties of the data we ask whether a representative model of this class is able to generate cyclical behavior consistent with the traditional nber conception of business cycles the traditional nber definition of a business cycle defines the cycle in terms of periods of absolute increases and decreases in economic activity rather than fluctuations about some trend below we examine whether a real business cycle model can produce business cycles in this more traditional sense that are of appropriate duration and shape there are several reasons for considering this alternative method of evaluating real business cycle models there is a large and old literature including among many others mitchell 1927 burns and mitchell 1946 eckstein and sinai 1986 and zarnowitz 1992 that examines fluctuations in economic activity in terms of a nber type chronology of business cycle peaks and troughs furthermore it is business cycles in the traditional nber sense that policymakers the press and the general public are typically concerned with while periods of sub par growth do receive attention and are a source of concern to policymakers it is nonetheless the case that the qualitative nature of policy deliberations seems to change when the economy experiences absolute declines in economic activity finally by examining the nature of business cycles in light of a nber type chronology one may be able to uncover relationships that otherwise would be undetected if only auto or cross correlations of the data were used using the concept of business cycle time introduced by burns and mitchell 1946 we divide recessions and expansions in calendar time into separate business cycle phases based on this framework we show that for real gnp expansions tend to be concave and recessions linear that is growth tends to be faster earlier in the expansion and slower later in the expansion while the rate of decline is not significantly different over the course of the recession furthermore output tends to have rounded peaks and pointed troughs in addition to aggregate output we consider the shape of consumption of nondurables and services fixed investment hours and real wages while not every variable displays concave expansions round peaks and pointed troughs are present in most of these variables a simple real business cycle model considered in king plosser and rebelo 1988a a variant of the hansen 1985 and rogerson 1988 models is used to generate artificial economic histories the algorithm developed by bry and boschan 1971 to mimic the business cycle dating procedure of the nber is used to date business cycle peaks and troughs in the artificial data we then compare the nature of business cycles implied by these simple real business cycle models to that of actual business cycles we find that while these models are adequate at capturing the duration and the amplitude of actual business cycles they do not capture the entire shape of the business cycle

production growth and business cycles ii new directions abstract this paper outlines new directions for investigations of real business cycle models consideration of stochastic growth of exogenous and endogenous forms analysis of suboptimal outcomes arising due to externalities of distorting taxes and implications of labor market heterogeneity

input choices and uncertain demand the theory of the firm under demand uncertainty has to date assumed that the firm s input decisions are unaffected by the stochastic nature of demand this assumption is not usually made explicitly but it is implied by the assumption that the firm s cost function presumably derived by finding the minimum cost combination of inputs for any given level of output is unaffected by the uncertainty however if firms must choose some of their inputs before the uncertainty regarding demand is resolved then different input decisions may involve different levels of risk since firms decisions regarding price and output are affected by demand uncertainty and non linear risk preferences as previous authors have shown it seems reasonable to suspect that their input decisions will also be affected but if input decisions are affected then firms cost functions are not invariant to uncertainty and the results of previous studies must be reexamined three different types of firms are considered in this paper the competitive firm the quantity setting imperfect competitor and the price setting imperfect competitor input decisions of the competitive firm and the quantity setting imperfect competitor are shown to be unaffected by demand uncertainty and hence the assumption of an unchanging cost function is appropriate in these cases for the price setting imperfect competitor however input decisions are influenced by demand uncertainty and an unchanging cost function is therefore not appropriate this case is considered in some detail and conditions under which results can differ from those previously reported in the literature are examined

the economic crisis from a neoclassical perspective abstract this paper assesses the 2007 2009 recession using neoclassical business cycle theory i find that the 2007 2009 u s recession differs substantially from other postwar u s recessions and also from the 2008 recession in other countries in that lower labor input accounts for virtually all of the decline in income and output in the united states while lower productivity accounts for much of other u s recessions and the 2007 2009 recession in other countries i also find that existing classes of models including financial market imperfections models do not explain the u s recession this is because the 2007 2009 recession is almost exclusively related to what appear to be labor market distortions that drive a wedge between the marginal product of labor and the marginal rate of substitution between consumption and leisure a topic about which current classes of financial imperfection models are largely silent i discuss future avenues for developing this class of models and i consider alterna

a reexamination of the neoclassical trade model under uncertainty abstract this paper presents a model that pinpoints the exact places and reasons that the propositions of the heckscher ohlin samuelson model break down under uncertainty within the model if preferences exhibit decreasing absolute risk aversion i a capital poor country tends to obtain lower revenues from its resources than the same resources would yield in capital rich countries ii if there is one riskless and one risky sector a capital abundant country tends to have a comparative advantage in the risky sector and iii the pattern of trade depends on the intra national as well as the inter national distribution of endowments

dynamic trading policies with price impact abstract in this paper we analyze the optimal policy for a risk averse agent who wants to sell a large block of shares of a risky security in the presence of price impact and transactions costs our framework reduces to the standard merton portfolio problem in the absence of any market frictions optimal liquidation results in revenue distributions which are substantially different from those generated by a naive strategy the main tradeoff involves choosing between revenue distributions which have high means versus those which have low variances furthermore our results suggest that the effective liquidity of a security depends on its return distribution and on the characteristics of the agent carrying out the trade as well as on the price impact function

the plucking model of business fluctuations revisited the recent surge of renewed interest in business cycles in general and real business cycles in particular brought to mind a plucking model of business fluctuations that i suggested some twenty five years ago but that has since sunk into complete oblivion 1 i was led to the model in the course of investigating the direction of influence between money and income did the common cyclical fluctuations in money and income reflect primarily the influence of money on income or of income on money one of the five kinds of evidence that i examined was the serial correlation of amplitudes of cycle phases 2 as i wrote is the magnitude of an expansion related systematically to the magnitude of the succeeding contraction does a boom tend on the average to be followed by a large contraction p 271 to find out i calculated rank difference correlations between measures of the amplitudes of expansions and successive contractions in three different series for the period 1879 to 1961 the three series were rate of change of the stock of money a physical index of general business and clearing debits as an indicator of dollar value change in general business similarly i asked the same question except starting with a contraction in the given series and correlating its amplitude with the amplitude of the succeeding expansion 3 the results were striking for all three series the correlation was trivial between the amplitude of an expansion and the amplitude of the succeeding contraction on the other hand for both the rate of change of the money stock and the physical index of general business the correlation was high and statistically significant between the amplitude of a contraction and the amplitude of the succeeding expansion for clearing debits this correlation too was low i concluded there appears to be no systematic connection between the size of an expansion and of the succeeding contraction whether size is measured by physical volume or by dollar value pp 272 73 on the other hand a large contraction in output tends to be followed on the average by a large business expansion a mild contraction by a mild expansion p 273 though that is not so for the dollar value of the expansion and contraction i went on this phenomenon if it should be confirmed by a fuller analysis of data for the united states and other countries would have important implications for the analysis of business cycles in general not solely for our monetary studies for one thing it would cast grave doubt on those theories that see as the source of a deep depression the excesses of the prior expansion the mises cycle theory is a clear example 4 for another it would raise serious questions about both the analytical models in terms of which most of us have come to approach the analysis of cycles and the statistical methods we use to analyze them our analytical models generally involve a conception of a self generating cycle in which each phase gives rise to the next and which may be kept going by a sequence of random shocks each giving rise to a series of damped perturbations the corresponding physical analogy is of an electrical network in which responses are described by sine waves the asymmetric serial correlation patter suggests that this analogy may be misleading that a better one is what can be termed a plucking model consider an elastic string stretched taut between two points on the underside of a rigid horizontal board and glued lightly to the board let the string be plucked at a number of points chosen more or less at random with a force that varies at random and then held down at the lowest point reached the result will be to produce a succession of apparent cycles in the string whose amplitudes depend on the force used in plucking the string the cycles are symmetrical about their troughs each contraction is of the same amplitude as the succeeding expansion

estimating and testing rational expectations models when the trend specification is uncertain abstract this paper explores various strategies for estimating and testing rational expectations models when the trend specification is uncertain one approach seeks to make estimators and tests robust to trend misspecification by reducing the influence of low frequency dynamics however contrary to intuition the effects of trend specification errors are not confined to low frequencies but are spread across the entire frequency domain thus operations that damp low frequency components do not remove trend specification errors and are not sufficient for constructing robust estimators and tests another approach seeks representations of approximating models that do not condition on a specification of the trend and it uses gmm to estimate parameters and test over identifying restrictions because these methods do not condition on assumptions about trends they are robust to errors in that part of the approximating model

are deep recessions followed by strong recoveries abstract we examine the hypothesis that deep recessions are followed by strong recoveries using a monthly data set for industrial production covering the period 1884 1990 there is a statistically significant relationship between growth in the first twelve months of a recovery and the peak to trough decline in industrial activity this effect is still found when we exclude the great depression from our sample we find no evidence that the length of the recession affects the strength of the subsequent recovery

measuring business cycle time the business cycle analysis of arthur f burns and wesley c mitchell and the national bureau of economic research presumed that aggregate economic variables evolve on a time scale defined by business cycle turning points rather than by months or quarters do macroeconomic variables appear to evolve on an economic rather than a calendar time scale evidence presented here suggests that they do however the estimated economic time scales are only weakly related to business cycle time scales providing evidence against the view underlying traditional business cycle analysis copyright 1987 by university of chicago press

large traders and illiquid options hedging vs manipulation abstract in this article we study the effects on derivative pricing arising from price impacts by large traders when a large trader issues a derivative and partially hedges his risk by trading in the underlying he influences both his hedge portfolio and the derivative s payoff in a black scholes model with a price impact on the drift we analyze the resulting trade off by explicitly solving the utility maximization problem of a large investor endowed with an illiquid contingent claim we find several interesting phenomena which cannot occur in frictionless markets first the indifference price is a convex function of the contingent claim and not concave as in frictionless markets implying that for any claim the buyer s indifference price is larger than the seller s indifference price second the seller s indifference prices of large positions in derivatives are smaller than the black scholes replication costs therefore a large trader might have an incentive to issue options if they are traded at black scholes prices furthermore he hedges option positions only partly if he has a negative price impact and thus exploits his ability to manipulate the option s payoff for a positive price impact he overhedges the option position leading to an extra profit from the stock position exceeding a perfect hedge finally we also study a model where the large shareholder has a price impact on both drift and volatility

animal spirits through creative destruction we show how a schumpeterian process of creative destruction can induce rational herd behavior by entrepreneurs across diverse sectors as if fueled by animal spirits consequently a multisector economy in which productivity improvements are made by independent profit seeking entrepreneurs exhibits regular booms slowdowns and downturns as part of the long run growth process our cyclical equilibrium has higher average growth but lower welfare than the corresponding acyclical one we show how a negative relationship can emerge between volatility and growth across cycling economies and assess the extent to which our model matches several features of actual business cycles

are deep recessions followed by strong recoveries results for the g 7 countries the hypothesis is examined that the severity of a recession favourably affects the rate of growth of output during the period immediately after the recession our empirical analysis is based on the behaviour of industrial output in the g 7 countries during the period 1960 to 1985 the depth of a recession defined as the cumulative output loss between the peak and trough dates is shown to be negatively correlated with growth in the first 12 months of the subsequent expansion

optimal consumption choices for a large investor abstract this paper examines the optimal consumption and investment problem for a large investor whose portfolio choices affect the instantaneous expected returns on the traded assets alternatively our analysis can be interpreted in terms of an optimal growth problem with nonlinear technologies existence of optimal policies is established using martingale and duality techniques under general assumptions on the securities price process and the investor s preferences as an illustration of our characterization result explicit solutions are provided for specific examples involving an agent with logarithmic utilities and a generalized two factor version of the ccapm is derived the analogy of the consumption problem examined in this paper to the consumption problem with constraints on the portfolio choices is emphasized

information constrained insurance the revelation principle extended abstract private information induced incentive constraints can cause allocations to diverge from full information optimal allocations often in the direction of limited insurance but can bring unanticipated anomalies related plausible contract exclusion restrictions can be damaging in welfare terms more generally private information optimal allocations can be sensitive to the information structure suggesting that the latter be specified with an eye toward realism as well as tractability in an effort to make tractability less of a constraint the paper shows how two apparently difficult information structures a costly state verification environment and a multiperiod multilateral private information environment can be handled theoretically by revelation principle methods the paper also shows how solutions can be generated numerically

cyclical uncertainty precautionary saving and economic growth this paper studies the interaction between cyclical uncertainty precautionary saving and economic growth in a stochastic endogenous growth model the analysis provides insight into the potential connection between technological uncertainty of the sort popularized in real business cycle models and the determinants of economic growth in a stochastic version of a popular model of endogenously determined economic growth the magnitude of the link between cyclical uncertainty and growth is quantified and found to be small in terms of its effect on the growth rate but possibly large in terms of its effect on levels of macroeconomic variables moreover the welfare costs of reduced cyclical uncertainty can be substantial owing to the lower historical rate of capital accumulation induced by a decrease in precautionary saving the chief implications of the model are found to be roughly consistent with the postwar experience of several countries although the predictions of the model with regard to growth rates are too small to explain much of the variation in growth rates across time or across countries

can non linear time series models generate us business cycle asymmetric shape abstract fifteen univariate non linear time series models of us output are evaluated by their ability to reproduce the asymmetric shape of the us business cycle two models account for the growth being faster after a trough and slower before a peak

business cycle asymmetry a deeper look this paper distinguishes two types of asymmetry in business cycles deepness and steepness deepness is defined as the characteristic that troughs are further below trend than peaks are above most previous research has focused exclusively on steepness which refers to cycles in which contractions are steeper than expansions a test for deepness is proposed and applied to u s post war quarterly unemployment real gnp and industrial production evidence of deepness is found for unemployment and industrial production while the evidence for real gnp is weaker previous evidence of steepness in unemployment is confirmed

the workweek of capital and its cyclical implications abstract the neoclassical growth model studied in the kydland and prescott time to build paper is modified to permit the capital utilization rate to vary the effect of this modification is to increase the amplitude of the aggregate fluctuations predicted by theory as the equilibrium response to technological shocks if following solow the changes in output not accounted for by changes in the labor and tangible capital inputs are interpreted as being the technology shocks the statistical properties of the fluctuations in the postwar united states economy are close in magnitude and nature to those predicted by theory

real business cycles in this paper we demonstrate how certain very ordinary economic principles lead maximizing individuals to choose consumption production plans that display many of the characteristics commonly associated with business cycles our explanation is entirely consistent with i rational expectations ii complete current information iii stable preferences iv no technological change v no long lived commodities vi no frictions or adjustment costs vii no government viii no money and ix no serial dependence in the stochastic elements of the environment we also provide a completely worked out example of the type of artificial economy we have in mind the time series properties of the example exhibit some major features of observed business cycles although this type of model may not be capable of explaining all of the regularities in actual business cycles we believe that it provides a useful well defined benchmark for assessing the relative importance of factors e g monetary disturbances

constant returns to scale and competitive equilibrium under uncertainty abstract this paper considers the implications of the assumption of constant returns to scale in expected utility maximizing models of the competitive firm or industry in which markets for risk are absent under widely used assumptions about risk preferences it is shown that with constant returns to scale average profits are more than necessary to cover the implicit costs of risk bearing when the free entry of identical firms is possible this assumption about technology is shown to be incompatible with the assumption that entrepreneurs are risk averse