Research Database

Suppose firms are subject to decreasing returns and permanent idiosyncratic productivity shocks. Suppose also firms can only stay in business by continuously paying a fixed cost. New firms can enter. Firms with a history of relatively good productivity shocks tend to survive and others are forced to exit. This paper identifies assumptions about entry that guarantee a stationary firm size distribution and lead to balanced growth. The range of technology diffusion mechanisms that can be considered is greatly expanded relative to previous work. High entry costs slow down the selection process and imply slow aggregate growth. They also push the firm size distribution in the direction of Zipf’s law.

The possibility of regime shifts in monetary policy can have important effects on rational agents’ expectation formation and equilibrium dynamics. In a DSGE model where the monetary policy rule switches between a dovish regime that accommodates inflation and a hawkish regime that stabilizes inflation, the expectation effect is asymmetric across regimes. Such an asymmetric effect makes it difficult, but still possible, to generate substantial reductions in the volatilities of inflation and output as the monetary policy switches from the dovish regime to the hawkish regime.

We analyze changes in the gender structure at the top of the earnings distribution in the United States over the last 30 years using a 10% sample of individual earnings histories from the Social Security Administration. Despite making large inroads, females still constitute a small proportion of the top percentiles: the glass ceiling, albeit a thinner one, remains. We measure the contribution of changes in labor force participation, changes in the persistence of top earnings, and changes in industry and age composition to the change in the gender composition of top earners. A large proportion of the increased share of females among top earners is accounted for by the mending of, what we refer to as, the paper floor – the phenomenon whereby female top earners were much more likely than male top earners to drop out of the top percentiles. We also provide new evidence at the top of the earnings distribution for both genders: the rising share of top earnings accruing to workers in the Finance and Insurance industry, the relative transitory status of top earners, the emergence of top earnings gender gaps over the life cycle, and gender differences among lifetime top earners.

This study examines common stock prices around ex-dividend dates. Such price data usually contain a mixture of observations—some with and some without arbitrageurs and/or dividend capturers active. Our theory predicts that such mixing will result in a nonlinear relation between percentage price drop and dividend yield—not the commonly assumed linear relation. This prediction and another important prediction of theory are supported empirically. In a variety of tests, marginal price drop is not significantly different from the dividend amount. Thus, over the last several decades, one-for-one marginal price drop has been an excellent (average) rule of thumb.

Thinking regarding the privatization of state industries and enterprises in the former Comecon countries has tended to focus on the efficiency gains that would occur in the privatized sector. Based on the comparatively good performance and the rather rigid configuration of Comecon production institutions, the scope for such productivity gains seems small. Rather, productivity and innovation in the post-Comecon economies are likely to depend greatly on the emergence of new, initially small, entrepreneurial firms. The extent and form of privatization may affect these firms' prospects for success. How the privatized-firm and entrepreneurial sector will interact depends on public-finance considerations as well as on considerations of industrial organization.

A current U.S. policy is to introduce a new style of currency that is harder to counterfeit, but not immediately to withdraw from circulation all of the old-style currency. This policy is analyzed in a random-matching model of money, and its potential to decrease counterfeiting in the long run is shown. For various parameters of the model, three types of equilibria are found to occur. In only one does counterfeiting continue at its initial high level. In the other two, both genuine and counterfeit old-style money go out of circulation—immediately in one and gradually in the other. There are objectives and expectations that can reasonably be imputed to policymakers, under which the policy that they have chosen can make sense.

The goal of this paper is to probe the validity of the fiscal theory of the price level by modeling explicitly the market structure in which households and the governments make their decisions. I describe the economy as a game, and I am thus able to state precisely the consequences of actions that are out of the equilibrium path. I show that there exist government strategies that lead to a version of the fiscal theory, in which the price level is determined by fiscal variables alone. However, these strategies are more complex than the simple budgetary rules usually associated with the fiscal theory, and the government budget constraint cannot be merely viewed as an equilibrium condition.

We show that the desirability of fiscal constraints in monetary unions depends critically on the extent of commitment of the monetary authority. If the monetary authority can commit to its policies, fiscal constraints can only impose costs. If the monetary authority cannot commit, there is a free-rider problem in fiscal policy, and fiscal constraints may be desirable.

The generation and implementation of ideas, or knowledge, is crucial for economic performance. We study this process in a model of endogenous growth with frictions. Productivity increases with knowledge, which advances via innovation, and with the exchange of ideas from those who generate them to those best able to implement them (technology transfer). But frictions in this market, including search, bargaining, and commitment problems, impede exchange and thus slow growth. We characterize optimal policies to subsidize research and trade in ideas, given both knowledge and search externalities. We discuss the roles of liquidity and financial institutions, and show two ways in which intermediation can enhance efficiency and innovation. First, intermediation allows us to finance more transactions with fewer assets. Second, it ameliorates certain bargaining problems, by allowing entrepreneurs to undo otherwise sunk investments in liquidity. We also discuss some evidence, suggesting that technology transfer is a significant source of innovation and showing how it is affected by credit considerations.

Game theory addresses a problem which is central to economics. Yet, according to the folklore of economics, game theory has failed. This paper argues that this is an incorrect interpretation of the game theory literature. When faced with a well-posed problem, game theory provides a solution. Procedures for facing game theory with well-posed problems are suggested, and examples of economic applications provided. The applications are Samuelson's fiat money model, Phelps' capital overaccumulation problem, multiple rational expectations equilibria, and a bargaining problem.

The classic example of a privately created and well-functioning interbank payments system is the Suffolk Banking System that existed in New England between 1825 and 1858. This System, operated by the Suffolk Bank, was the first regionwide net-clearing system for bank notes in the United States. While it operated, notes of all New England banks circulated at par throughout the region. The achievements of the System have led some to conclude that unfettered competition in the provision of payments services can produce an efficient payments system. In this paper, we reexamine the history of the Suffolk Banking System and present some facts that call this conclusion into question. We find that the Suffolk Bank earned extraordinary profits and that note clearing may have been a natural monopoly. There is no consensus in the literature about whether unfettered operation of markets in the presence of natural monopolies produces an efficient allocation.

We evaluate the ability of models with putty-clay capital and stochastic energy prices to account for the dynamics of energy use and output. Economists have noted a close relationship between changes in the price of energy and changes in output. Moreover, they have documents that this relationship is asymmetric: energy price increases are associated with large output charges while energy prices decreases are associated with small output changes. Finally, following energy price changes, energy use adjusts slowly over time. Standard models with putty-putty capital fail to reproduce the features of the data. In our study of putty-clay models, we first develop a simple characterization of equilibrium. We apply these results to solve a prototype model. Preliminary results suggest that models with putty-clay capital improve on putty-putty models in accounting for the data.

Previous authors have argued that the optimal monetary policy is contractionary. If buyers value consumption substantially more than sellers, there is some randomness and informational constraints make asset trading useful, we show that there is an incentive compatible expansionary policy that dominates all incentive compatible contractionary policies.

This paper develops and estimates a model of indivisibilities in shipping and economies of scale in consolidation. It uses highly detailed data on imports where it is possible to observe the contents of individual containers. In the model, firms are able to adapt to indivisibility constraints by using consolidation strategies and by making adjustments to shipment size. The firm determines the optimal number of domestic ports to use, taking into account that adding more ports lowers inland freight cost, at the expense of a higher indivisibility cost. The estimated model is able to roughly account for Walmart’s port choice behavior. The model estimates are used to evaluate how mergers or dissolutions of firms or countries, and changes in variety, affect indivisibility costs and inland freight costs.

This paper adds imitation by incumbent firms, and not just by new entrants, to the model of selection and growth developed in Luttmer [2007]. Noisy firm-level innovation and imitation give rise to a long-run growth rate that exceeds the average rate at which individual firms innovate. It can be shown, in simple examples, that the economy converges to a long-run balanced growth path from compactly supported initial productivity distributions. The right tail of the stationary distribution of de-trended productivity is approximately Pareto. The tail index of this distribution depends on the rate at which incumbents are able to imitate only indirectly, through general equilibrium effects of this parameter on the equilibrium growth rate.

This paper studies efficient allocation of resources in an economy in which agents are initially heterogeneous with regard to their wealth levels and whether they have ideas or not. An agent with an idea can start a business that generates random returns. Agents have private information about (1) their initial types, (2) how they allocate their resources, and (3) the realized returns. The unobservability of returns creates a novel motive for subsidizing agents who have ideas but lack resources to invest in them. To analyze this motive in isolation, the paper assumes that agents are risk-neutral and abstracts away from equality and insurance considerations. The unobservability of initial types and actions implies that the subsidy that poor agents with ideas receive is limited by incentive compatibility: the society should provide other agents with enough incentives so that they do not claim to be poor and have ideas. The paper then provides an implementation of the constrained-efficient allocation in an incomplete markets setup that is similar to the U.S. Small Business Administration’s Business Loan Program. Finally, the paper extends the model in several dimensions to show that the results are robust to these generalizations of the model.

This paper investigates the effects of changes in a country's monetary policies on its economy and the welfare of its citizens and those of other countries. Each country is populated by two-period lived overlapping agents who reside in either a home service sector or a world-traded good sector. Policy effects are transmitted through changes in the real interest rate, relative prices, and price levels. Welfare effects are sometimes dominated by relative price movements and can thus be opposite of those found in one-good models. Simulation of dynamic paths also reveals that welfare effects for some types of agents reverse between those born in immediate post-shock periods and those born later.

This paper develops a model of small business failure and sale that is motivated by recent evidence concerning how the failure and sale of small businesses vary with the age of the business and the tenure of the manager. This evidence motivates two key features of the model: A match between the manager and the business, and characteristics of businesses that survive beyond the current match. The parameters of the model are estimated, and the properties of this parametric model are studied. This analysis results in a simple characterization of the workings of the small business sector.

People are having longer retirement periods, and population growth is slowing and has even stopped in some countries. In this paper we determined the implications of these changes for the needed amount of government debt. The needed debt is near zero if there are high tax rates and the transfer share of gross national income (GNI) is high. But, with such a system there are huge dead-weight losses as the result of the high tax rate on labor income. With a savings system, a large government debt to annual GNI ratio is needed, as large as 5 times GNI, and welfare is as much as 24 percent higher in terms of lifetime consumption equivalents than the tax-and-transfer system.

In the data, a sizable fraction of price changes are temporary price reductions referred to as sales. Existing models include no role for sales. Hence, when confronted with data in which a large fraction of price changes are sales related, the models must either exclude sales from the data or leave them in and implicitly treat sales like any other price change. When sales are included, prices change frequently and standard sticky price models with this high frequency of price changes predict small effects from money shocks. If sales are excluded, prices change much less frequently and a standard sticky price model with this low frequency of price changes predict much larger effects of money shocks. This paper adds a motive for sales in a parsimonious extension of existing sticky price models. We show that the model can account for most of the patterns of sales in the data. Using our model as the data generating process, we evaluate the existing approaches and find that neither well approximates the real effects of money in our economy in which sales are explicitly modeled.

Antitrust regulators often attempt to prevent proposed corporate market-extension mergers or acquisitions by arguing that doing so will result in the proposer entering the market as an additional, smaller, independent competitor. In cases where this so-called doctrine of probable future competition is valid, regulators still need guidance in ranking the priority of cases to pursue. This paper modifies the approach of Dansby and Willig to compute measures of the gross benefits arising from valid regulation. Such measures relate the change in consumer plus producer surplus caused by regulation, to measures of market concentration, firm conduct assumptions, small firm profits, and market demand data.

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.

Prior to 1861, several U.S. states established bank liability insurance schemes. One type was an insurance fund. Member banks paid into a state-run fund that paid bank creditors’ losses. A second scheme was a mutual guarantee system. Member banks were legally responsible for the liabilities of any insolvent bank. This paper’s hypothesis is that the moral hazard problem was controlled under a scheme to the degree that member banks had the power and incentive to control or modify others’ risk-taking behavior. Schemes that gave member banks both strong incentives and power were able to control the moral hazard problem better than schemes in which one or both features were weak. Empirical evidence on bank failures and losses on banks’ asset portfolios is consistent with this hypothesis.

Many claims have been made about the potential benefits and the potential costs of adopting a system of universal banking in the United States. We evaluate these claims using a model where there is a moral hazard problem between banks and "borrowers," a moral hazard problem between banks and a deposit insurer, and a costly state verification problem. Under conditions we describe, allowing banks to take equity positions in firms strengthens their ability to extract surplus, and exacerbates problems of moral hazard. The incentives of universal banks to take equity positions will often be strongest when these problems are most severe.

Using an existing random matching model of money, I show that a once-for-all change in the quantity of money has short-run effects that are predominantly real and long-run effects that are in the direction of being predominantly nominal provided (i) the quantity of money is random and (ii) people learn about what happened to it only with a lag. The change in the quantity of money comes about through a random process of discovery that does not permit anyone to deduce the aggregate amount discovered when the change actually occurs.

In 1985–86 the authors were members of a team that constructed a static applied general equilibrium model that was used to analyze the impact on the Spanish economy of the 1986 fiscal reform, which accompanied Spain’s entry into the European Community. This paper compares the results obtained to recently published data for 1985–87; we find that the model performed well in predicting the changes in relative prices and resource allocation that actually occurred, particularly if we incorporate exogenous shocks that affected the Spanish economy in 1986. We also analyze the sensitivity of the results to alternative specifications of the labor market and macroeconomic closure rules; we find that the central results are robust.

This paper demonstrates a connection between failure of Walras’ Law and nonoptimal equilibria in a quite general overlapping generations model. Consider the following implication of Walras’ Law in finite economies. Suppose that all prices are positive and that all agents are on their budget lines. Then, no matter how the set of goods is partitioned, there cannot be an excess supply (in value terms) for some other set in the partition with excess demand (in value terms) for some other set in the partition. We use the Cass (1972), Benveniste (1976, 1986), Balasko and Shell (1980), and Okuno and Zilcha (1980) price characterization of optimality of equilibria in pure exchange overlapping generations models to show the following link between the above implication of Walras’ Law and optimality of a competitive equilibrium. A competitive equilibrium is nonoptimal if and only if the above implication of Walras’ Law fails in its neighborhood.

We consider an environment in which risk-neutral firms must obtain external finance. They have access to two kinds of linear, stochastic investment opportunities. For one, return realizations are costlessly observed by all agents. For the other, return realizations are costlessly observed only by the investing firm; however, they can be (privately) observed by outsiders who bear a fixed verification cost. Thus, the second investment opportunity is subject to a standard costly state verification (CSV) problem of the type considered by Townsend (1979), Gale and Hellwig (1985), or Williamson (1986, 1987).

We examine the optimal allocations of investment between the two kinds of projects, as well as the optimal contract used to finance it. We show that the optimal contractual outcome can be supported by having firms issue appropriate (and determinate) quantities of debt and equity securities to outside investors.

The optimal debt-equity ratio necessarily depends (in part) on the firm’s asset structure. Investments in projects subject to CSV problems are associated (in a sense to be made precise) with the use of debt—as might be expected from the existing CSV literature. Investments in projects with publicly observable returns are associated with the use of external equity.

We examine in detail the relationship between the optimal asset and liability structure of the firm. We also describe conditions under which an increase in the cost of state verification shifts the composition of investment towards projects with observable returns, and reduces the optimal debt-equity ratio. Interestingly, the optimal debt-equity ratio is also shown to depend on factors that are irrelevant to asset allocations.

Finally, a large part of the interest in CSV environments has been due to the fact that they may result in equilibrium credit rationing. Our analysis has strong implications for the possibility of equilibrium credit rationing in more general CSV models.

In an overlapping generations model with borrowing and lending, uncertainty, and asymmetric information, fiat money may be essential to the existence of a competitive equilibrium. It may also serve to enhance the information of economic agents in a well-defined sense. In addition, the model presented provides suggestions about why the presence of valued fiat currency is essential to existence of equilibrium, even though in equilibrium perfect substitutes for money may exist.

A model of credit rationing based on asymmetrically informed borrowers and lenders is developed. In this context, sufficient conditions are derived for an appropriate government policy response to credit rationing to be a continuously open discount window. It is also demonstrated that such a policy can be deflationary, and that given a commitment to operate in this way, the monopoly issue of liabilities can Pareto dominate their competitive issuance.

For a wide class of dynamic models, Chamley (1986) has shown that the optimal capital income tax rate is zero in the long run. Lucas (1990) has argued that for the U.S. economy there is a significant welfare gain from switching to this policy. We show that for the Bewley (1986) class of models with heterogeneous agents and incomplete markets (due to uninsured idiosyncratic shocks), and borrowing constraints the optimal tax rate on capital income is positive even in the long run. Quantitative analysis of a parametric version of such a model suggests that one cannot dismiss the possibility that the observed tax rates on capital and labor income for the U.S. economy are fairly close to being (long run) optimal. We also provide an existence proof for the dynamic Ramsey optimal tax problem in this environment.

Micro data over the life cycle shows two different patterns of consumption of housing and non-housing goods: the consumption profile of non-housing goods is hump-shaped while the consumption profile for housing first increases monotonically and then flattens out. These patterns hold true at each consumption quartile. This paper develops a quantitative, dynamic general equilibrium model of life cycle behavior, which generates consumption profiles consistent with the observed data. Borrowing constraints are essential in explaining the accumulation of housing assets early in life, while transaction costs are crucial in generating the slow downsizing of the housing assets later in life. The bequest motives play a role in determining total life time wealth, but not the housing profile.

We propose a definition of time consistent policy for infinite horizon economies with competitive private agents. Allocations and policies are defined as functions of the history of past policies. A sustainable equilibrium is a sequence of history-contingent policies and allocations that satisfy certain sequential rationality conditions for the government and for private agents. We provide a complete characterization of the sustainable equilibrium outcomes for a variant of Fischer's (1980) model of capital taxation. We also relate our work to recent developments in the theory of repeated games.

This paper examines the extent to which the equity premium puzzle can be resolved by taking account of the fact that stockholders bear a disproportionate share of output uncertainty. We do this in the context of a non-Walrasian RBC model where risk reallocation is justified by borrowing restrictions. The risk shifting mechanism we propose has the same effect as would arise from a substantial increase in the risk aversion parameter of the representative agent. As with more standard RBC models, it remains that our model is unable to replicate key financial statistics. In particular, the observation that the equity return is more variable than national product cannot be accounted for under standard technology assumptions.

This article describes how and why official U.S. estimates of the growth in real economic output and inflation are revised over time, demonstrates how big those revisions tend to be, and evaluates whether the revisions matter for researchers trying to understand the economy’s performance and the contemporaneous reactions of policymakers. The conclusion may seem obvious, but it is a point ignored by most researchers: To have a good chance of understanding how policymakers make their decisions, researchers must use not the final data available, but the data available initially, when the policy decisions are actually made.

A Beckerian model of household production is developed to study the allocation of capital and time between market and home activities over the business cycle. The adopted framework treats the business and household sectors symmetrically. In the market, labor interacts with business capital to produce market goods and services, and likewise at home the remaining time, leisure, is combined with household capital to produce home goods and services. The theoretical model presented is parameterized, calibrated, and simulated to see whether it can rationalize the observed allocation of capital and time, as well as other stylized facts, for the postwar U.S. economy.

Models of low-frequency behavior of time series may have strongly conflicting substantive implications while fitting the data nearly equally well. We should develop methods which display the resulting uncertainty rather than adopt modeling conventions which hide it. One step toward this goal may be to consider “overparameterized” stationary ARMA models.

In the specification of linear regression models it is common to indicate a list of candidate variables from which a subset enters the model with nonzero coefficients. This paper interprets this specification as a mixed continuous-discrete prior distribution for coefficient values. It then utilizes a Gibbs sampler to construct posterior moments. It is shown how this method can incorporate sign constraints and provide posterior probabilities for all possible subsets of regressors. The methods are illustrated using some standard data sets.

The determination of the mechanism for ordering strategies in a game theoretic conflict is the keystone of economic science, at least insofar as economics is to remain an outgrowth of that (otherwise relatively minor) school of English philosophy, Utilitarianism. A method for the solution of the general game is presented in this paper, and the implications for economic theorizing discussed.

One purpose of this article is to exposit the relationship between life cycle models (with constructive immortality) and infinitely lived agents models. We use this to point out problems in interpreting data, especially with regard to the use of interest rates in the class of representative agent models when growth in population and per capita variables is taken into account. We also point out some common misconceptions regarding the "volume of trade" in representative agent models and show how to reconcile the savings profile of the representative agent with the life cycle savings profile in a life cycle model.

Game theory is both at the heart of economics and without a definitive solution. This paper proposes a solution. It is argued that a dominance criterion generates a, and perhaps the, generalized equilibrium solution for game theory. First we provide a set theoretic perspective from which to view game theory, and then present and discuss the proposed solution.

The consequences of a straightforward monetary targeting scheme are examined for a simple dynamic macro model. The notion of "targeting" used below is the strategic one introduced by Rogoff (1985). Numerical simulations are used to demonstrate that for the model under consideration, monetary targeting is likely to lead to a deterioration of policy performance. These examples cast doubt upon the general efficacy of simple targeting schemes in dynamic rational expectations models.

We explore the long-run demand for M1 based on a data set that has comprised 32 countries since 1851. In many cases, cointegration tests identify a long-run equilibrium relationship between either velocity and the short rate or M1, GDP, and the short rate. Evidence is especially strong for the United States and the United Kingdom over the entire period since World War I and for moderate and high-inflation countries. With the exception of high-inflation countries–for which a “log-log” specification is preferred–the data often prefer the specification in the levels of velocity and the short rate originally estimated by Selden (1956) and Latané (1960). This is especially clear for the United States and other low-inflation countries.

No abstract available.

We prove the general existence of steady states with positive consumption in an N goods and fiat money version of the Kiyotaki-Wright (“On money as a median of exchange,” Journal of Political Economy 1989, 97 (4), 927–54) model by admitting mixed strategies. We also show that there always exists a steady state in which everyone accepts a least costly-to-store object. In particular, if fiat money is one such object, then there always exists a monetary steady state. We also establish some other properties of steady states and comment on the relationship between steady states and (incentive) feasible allocations.

A simple extension of the traditional analysis of human capital accumulation is considered in a general equilibrium context. When real wages are equated to marginal products in the presence of human capital investment, resulting equilibria are almost never efficient even by very weak criteria. This is true even though labor is not a quasi-fixed factor, and informational asymmetries are excluded from the model. It is shown that human capital investment generates externalities, and has associated with it a “free-rider problem.” This, in turn, explains the common practice of employers requiring minimum levels of human capital accumulation for some employees, and refusing to hire “overqualified” workers for other positions.

Using optimal control theory and a vector autoregressive representation of the relationship between money and interest rates one can derive a feedback control procedure which defines the best possible tradeoff between interest rate volatility and money supply fluctuations and which could be used to reduce both from their current levels.

This appendix contains additional results on using scanner data to estimate inflation rates at the household level. There are three sections. Section 1 shows cross-sectional distributions of Fisher and Paasche inflation rates. Section 2 shows the evolution over time of measures of dispersion of Fisher and Paasche inflation rates. Section 3 shows cross-sectional distributions of two-year inflation rates measured with Fisher and Paasche indexes.

A classic question in international economics is whether it is better to use the exchange rate or the money growth rate as the instrument of monetary policy. A common argument is that the exchange rate has a natural advantage since exchange rates provide signals of policymakers’ actions that are easier to monitor than those provided by money growth rates. We formalize this argument in a simple model in which the government chooses which instrument it will use to target inflation. In it, the exchange rate is more transparent than the money growth rate in that the exchange rate is easier for the public to monitor. We find that the greater transparency of the exchange rate regime makes it easier to provide the central bank with incentives to pursue good policies and hence gives this regime a natural advantage over the money regime.

This paper shows that the inability to use monetary policy for macroeconomic stabilization leaves a government more vulnerable to a rollover crisis. We study a sovereign default model with self-fulfilling rollover crises, foreign currency debt, and nominal rigidities. When the government lacks monetary independence, lenders anticipate that the government would face a severe recession in the event of a liquidity crisis, and are therefore more prone to run on government bonds. In a quantitative application to the Eurozone debt crisis, we find that the lack of monetary autonomy played a central role in making Spain vulnerable to a rollover crisis. Finally, we argue that a lender of last resort can go a long way towards reducing the costs of giving up monetary independence.

There is a large amount of intermediated borrowing and lending between households. Some of it is intergenerational, but most is between older households. The average difference in borrowing and lending rates is over 2 percent. In this paper, we develop a model economy that displays these facts and matches not only the returns on assets but also their quantities. The heterogeneity giving rise to borrowing and lending and differences in equity holdings depends on differences in the strength of the bequest motive. In equilibrium, the lenders are annuity holders and the borrowers are those who have equity holdings, who live off its income when retired, and who leave a bequest. The borrowing rate and return on equity are the same in the absence of aggregate uncertainty. The divergence between borrowing and lending rates can thus give rise to an equity premium, even in a world without aggregate uncertainty.

This paper describes a simple model of aggregate and firm growth based on the introduction of new goods. An incumbent firm can combine labor with blueprints for goods it already produces to develop new blueprints. Every worker in the economy is also a potential entrepreneur who can design a new blueprint from scratch and set up a new firm. The implied firm size distribution closely matches the fat tail observed in the data when the marginal entrepreneur is far out in the tail of the entrepreneurial skill distribution. The model produces a variance of firm growth that declines with size. But the decline is more rapid than suggested by the evidence. The model also predicts a new-firm entry rate equal to only 2.5% per annum, instead of the observed rate of 10% in U.S. data.

This paper briefly recounts several of the key financial developments of 1974, describes the contingency planning exercise developed by the Minneapolis Federal Reserve Bank to encourage planning by large member banks, and then discusses some of the comments received in a trial run. The Appendix contains a copy of the exercise together with an illustrative example.

We use a model of pure, intertemporal exchange with spatially and information-ally separated markets to explain the existence of private securities which circulate and, hence, play a prominent role in exchange. The model, which utilizes a perfect foresight equilibrium concept, implies that a Schelling-type coordination problem can arise. It can happen that the amounts of circulating securities that are required to support an equilibrium and that are issued at the same time in informationally separated markets must satisfy restrictions not implied by individual maximization and market clearing in each market separately.

Previous work on discrete time portfolio selection models encompassed (a) transaction's costs, and (b) uncertainty about cash flows during the first (and only) period. This paper extends these models by considering uncertainty about asset yields in the second period and the optimal strategy for portfolio selection over a two-period horizon. Among the implications are i) the optimal initial portfolio is, in general, diversified and contains more short-term assets than the myopic investor's portfolio, and ii) the shape of the mean-variance locus ensures diversification for all (two-moment) types of investors, except certain forms of risk lovers. Other partial derivatives are investigated.

Most firms begin very small, and large firms are the result of typically decades of persistent growth. This growth can be understood as the result of some form of capital accumulation-organization capital. In the US, the distribution of firm size k has a right tail only slightly thinner than 1/k. This means that most capital accumulation must be accounted for by incumbent firms. This paper describes a range of circumstances in which this implies aggregate convergence rates that are only about half of what they are in the standard Cass-Koopmans economy. Through the lens of the models described in this paper, the aftermath of the Great Recession of 2008 is unsurprising if the events of late 2008 and early 2009 are interpreted as a destruction of organization capital.