Research Database

This appendix contains eight sections. Section 1 gives technical details of how we calculate standard errors in the CPS data. Section 2 discusses changes in the ACS procedures before 2005. Section 3 examines demographic and economic patterns in migration over the past two decades, in more detail than in the main paper. Section 4 examines the cross-sectional variance of location-occupation interactions in earnings when we define locations by MSAs instead of states. Section 5 describes alternative methods to estimate the variance of location-occupation interactions in income. Section 6 measures the segregation of industries across states and of occupations and industries across MSAs. Section 7 gives technical details on the use of SIPP and census data to calculate repeat and return migration rates. Section 8 discusses transition dynamics in the model.

The key question asked by standard monetary models used for policy analysis is, How do changes in short-term interest rates affect the economy? All of the standard models imply that such changes in interest rates affect the economy by altering the conditional means of the macroeconomic aggregates and have no effect on the conditional variances of these aggregates. We argue that the data on exchange rates imply nearly the opposite: the observation that exchange rates are approximately random walks implies that fluctuations in interest rates are associated with nearly one-for-one changes in conditional variances and nearly no changes in conditional means. In this sense, standard monetary models capture essentially none of what is going on in the data. We thus argue that almost everything we say about monetary policy using these models is wrong.

This study systematically examines the distribution of the wealth of nations and how it has evolved over time. A nation's wealth is measured by its real per-capita gross domestic product. The study documents the following key economic development facts that a theory of economic development must be consistent with: There is a great disparity in wealth between the richest and poorest countries. This disparity has changed little in the postwar period. There was an upward shift in the distribution of the wealth of nations. There has been considerable relative wealth mobility, with some spectacular changes for individual countries in the distribution.

Economic activity in the United States has been growing more slowly than average for the past three years, and it is not likely to speed up soon. The slow growth has been due primarily to pessimism among consumers about their long-run personal income. That pessimism—and its extension to the U.S. economy as a whole—is confirmed by data on real estate prices and labor force participation and by the 1992–93 forecast of a Bayesian vector autoregression model.

Much economic activity takes place within the home. Unfortunately, it is difficult to assess the cyclical properties of home production because the available data are too sporadic. Under the assumption that each observation of historical U.S. data on consumption, investment, and hours worked is consistent with optimal behavior on the part of a representative agent, we construct quarterly data on three variables that would otherwise be unobservable at a quarterly frequency: hours worked in the home sector, hours spent in leisure, and the consumption of goods produced in the home sector. Three results emerge: leisure is highly countercyclical while nonmarket hours are acyclical; there has been a large decrease in hours spent in home production since the 1970s; fluctuations in market output are a good measure of fluctuations in individual utility as long as home consumption and market consumption are either extreme complements or extreme substitutes in the production of utility. The sensitivity of results to the parametric assumptions is examined.

The way many dictators have been deposed in the 20th century resembles the way a parliamentary form of government emerged in 13th-century England. This medieval example is worth examining because the features that led to its political reform are particularly clear. Despite what many think, that reform cannot be understood simply as a shift in military power from ruler to subjects. Rather, understanding the reform requires understanding that the English king had recently acquired private information crucial to his subjects. Such private information became important after England lost Normandy to France, just before the king issued the Magna Carta (and publicly agreed to consult his subjects before taxing them). Under circumstances like these—when a threat to a society arises and significant private information about the threat develops—the society may need an arrangement for communication like parliament in order to attain economic efficiency.

This study establishes several facts about medieval monetary debasements: they were followed by unusually large minting volumes and by increased seigniorage; old and new coins circulated concurrently; and, at least some of the time, coins were valued by weight. These facts constitute a puzzle because debasements provide no additional inducements to bring coins to the mint. On theoretical and empirical grounds, the authors reject explanations based on by-tale circulation, nominal contracts, and sluggish price adjustment. They conclude that debasements pose a challenge to monetary economics.

This paper studies the time series and cross-sectional behavior of tariffs during the prewar period in a manner that recognizes their dual role: as an instrument of commercial policy and as an important source of government revenue. The fact that these objectives may be reinforcing or conflicting has made a critical difference in the choice of tariff rates across commodities and over time. Another interesting feature of prewar tariffs is that most import duties were specific, charging a nominal amount of domestic currency per physical unit imported. Existing historical accounts focus on dates of legislative change and miss the cyclical variation in tariff rates that results from the impact of changing prices on the real value of specific duties. These price effects are quantitatively important during the 1900 to 1940 period. For example, the Fordney-McCumber Act of 1922 which has been interpreted as very protectionist simply corrected the erosion of real tariff rates occurring during the inflation of World War I. The opposite is true of the infamous Smoot-Hawley Tariff Act; the deflation of the 1930s added considerably to the legislated increases. The implications of these findings for modelling the role of Smoot-Hawley in the Great Depression is also discussed.

This study argues that the delegation of monetary policy control by one country to another can reduce inflation in the delegating country. Hyperinflation is common in a divided society, one in which special interest groups can pressure a weak central government to issue money to finance their own demands while neglecting the country’s overall welfare. A commitment device like dollarization or a currency board, which gives control of the divided country’s money supply to another country, can eliminate this inflation bias. This is illustrated by Argentina’s experience with inflation and a currency board which, in effect, gave control of Argentina’s money supply to the United States. This argument is made precise using a two-country overlapping generations model to study the effects of delegation. The study also finds that a dollarization treaty between the two countries can be welfare-improving for both.

This paper presents a simple model of search and matching between consumers and firms. The firm size distribution has a Pareto-like right tail if the population of consumers grows at a positive rate and the mean rate at which incumbent firms gain customers is also positive. This happens in equilibrium when entry is sufficiently costly. As entry costs grow without bound, the size distribution approaches Zipf’s law. The slow rate at which the right tail of the size distribution decays and the 10% annual gross entry rate of new firms observed in the data suggest that more than a third of all consumers must switch from one firm to another during a given year. A substantially lower consumer switching rate can be inferred only if part of the observed firm entry rate is attributed to factors outside the model. The realized growth rates of large firms in the model are too smooth.

To illustrate the use of social accounting matrices (SAMs) in applied general equilibrium (GE) modeling, we use an aggregated SAM for the Spanish economy to calibrate a simple applied GE model. The idea is to construct artificial people—households, government, and a foreign sector—who make the same transactions in the equilibrium of the model economy as do their counterparts in the data. This calibration procedure can be augmented, or partially substituted for, by statistical estimation of key parameters. We show the usefulness of such a model by presenting the results of a comparative exercise that mimics the policy changes that took place in Spain during its 1986 integration into the European Community. Sub-sequent data shows the model results to be remarkably accurate, especially if we account for other major shocks affected the Spanish economy in 1986.

Why do some sellers set nominal prices that apparently do not respond to changes in the aggregate price level? In many models, prices are sticky by assumption; here it is a result. We use search theory, with two consequences: prices are set in dollars, since money is the medium of exchange; and equilibrium implies a nondegenerate price distribution. When the money supply increases, some sellers may keep prices constant, earning less per unit but making it up on volume, so profit stays constant. The calibrated model matches price-change data well. But, in contrast with other sticky-price models, money is neutral.

This paper puts forward a method for improving the forecasting accuracy of an existing macroeconometric model without changing its policy response characteristics. The procedure is an extension and formalization of the practice of additive adjustments currently used by most forecasters. The method should be of special interest to forecasters who use models built by other investigators because it does not involve reestimation of the original model and uses only information routinely included in the documentation available to model users. The paper ends with a demonstration of the prediction improvement realized by application of this method to a version of the MIT-Penn-SSRC (MPS) model.

Current approaches to monetary theory and policy owe much to the "quantity theory of money." However, recent theoretical developments suggest that the manner in which money is introduced is more important, even for price level movements, than the quantity of money. Colonial American experience provides a laboratory for discriminating between these views. It is shown here that the nature of backing, rather than the quantity of money, determined its value. Large secular inflations were ended by changing the nature of backing despite the continuance of large note issues (and despite the absence of a metallic standard). Extremely large note issues and note withdrawals are shown not to have produced inflation (currency depreciation) or deflation (currency appreciation).

Three economic environments are reviewed, and in each organizations play an essential role. For an adverse selection insurance economy, we find that when mutual insurance arrangements are permitted an equilibrium necessarily exists and is optimal. This example, and the two others, illustrate the problems that may result from imposing organizational structure on an environment rather than permitting the structure to be determined endogenously.

Doan, Litterman, and Sims have described a method for estimating Bayesian vector autoregressive (BVAR) forecasting models. The method has been successfully applied to the U.S. macroeconomic dataset, which is relatively long and stable. Despite the brevity and volatility of the post-1976 Chilean macroeconomic dataset, this paper shows that a straightforward application of the DLS method to this dataset, with simple modifications to allow for delays in the release of data, also appears to satisfy at least one criterion of relative forecasting accuracy suggested by Doan, Litterman, and Sims. However, the forecast errors of the Chilean BVARs are still large in absolute terms.Also, the model's coefficients change sharply in periods marked by policy shifts, such as the floating of the peso in 1982.

A model of a labor market is developed in which agents possess private information about their marginal products. As a result, involuntary unemployment may arise as a consequence of attempts by firms to create appropriate self-selection incentives. Moreover, employment lotteries may arise for the same reason despite the fact that, in equilibrium, there is no uncertainty in the model. When employment is random, this is both privately and socially desirable. Finally, it is shown that the unemployment that arises is consistent with (a) pro-cyclical aggregate real wages and productivity, (b) employment that fluctuates (at individual and aggregate levels) much more than real wages.

This paper characterizes the behavior of investment expenditures, optimal capital stocks, and real interest rates in the time-to-build model of investment. These results are used to show that the delivery lag model of investment fails to account for time lags in investment when constructing the cost of capital variable and hence, misspecifies the effects of interest rates on investment expenditures. Second, this paper derives equilibrium pricing relationships involving the prices of existing capital and uses these relationships to obtain simple tests of the underlying investment technology. Despite the widespread use of 'q' in the empirical investment literature, it is shown that the relationship between current investment and an appropriately defined measure of Tobin's 'q' contains no such testable implications. Finally, it is shown that the practice of using stock market data to measure the price of existing capital is invalid when time lags exist in the investment process.

The Diamond-Dybvig model of banking (Journal of Political Economy, 1983) is amended by introducing communication barriers - these being implicit in their model and in most explanations of why people hold so-called liquid assets. These barriers imply the sequential-service constraint that Diamond and Dybvig imposed on private intermediation and have other implications: infeasibility of the policy that Diamond and Dybvig identify with deposit insurance and desirability of dependence of the realized return on deposits on the random order of withdrawals.

This paper is about a useful way of taking account of frictions in asset pricing and macroeconomics. I start by noting that complete frictionless markets models have a number of empirical deficiencies. Then I suggest an alternative class of models with incomplete markets and heterogenous agents which can also accommodate a variety of other frictions. These models are quantitatively attractive and computationally feasible and have the potential to overcome many or all of the empirical deficiencies of complete frictionless markets models. The incomplete markets model can also differ significantly from the complete frictionless markets model on some important policy questions.

Empirical studies quantifying the benefits of increased foreign direct investment (FDI) have been unable to provide conclusive evidence of a positive impact on the host country’s economic performance. I show that the lack of robust evidence is not inconsistent with theory, even if the gains to FDI openness are large. Anticipated welfare gains to increased inward FDI should lead to immediate declines in domestic investment and employment and eventual increases. Furthermore, since part of FDI is intangible investment that is expensed from company profits, gross domestic product (GDP) and gross national product (GNP) should decline during periods of abnormally high FDI investment. Using the model of McGrattan and Prescott (2009) and data from the IMF Balance of Payments to parameterize the time paths of FDI openness for each country in the sample, I do not find an economically significant relationship between the amount of inward FDI a country did over the period 1980—2005 and the growth in real GDP predicted by the model. This finding rests crucially on the fact that most of these countries are still in transition to FDI openness.

The consequences of costly divisibility of assets are studied using a model with the following features. The demand for assets is generated from an overlapping generations model with a continuum of agents in each generation and with intra-generation trade (intermediation) ruled out. There is a once-for-all supply of a stock of nonnegative-dividend assets in a large size, and there is a costly technology for dividing them into smaller sizes. Stationary equilibria are shown to exist. In contrast with similar models with costless divisibility of assets, competitive equilibria are not necessarily desirable; there can be Pareto-ordered equilibria.

A popular method of investigating the market effects of multibank holding company (MBHC) affiliation involves regression of banks' local market share on a dummy variable for MBHC affiliation. The usefulness of this procedure is called into question by means of a theoretical counterexample.

We make three comparisons relevant for the business cycle accounting approach. We show that in theory representing the investment wedge as a tax on investment is equivalent to representing this wedge as a tax on capital income as long as the probability distributions over this wedge in the two representations are the same. In practice, convenience dictates that the underlying probability distributions over the investment wedge are different in the two representations. Even so, the quantitative results under the two representations are essentially identical. We also compare our methodology, the CKM methodology, to an alternative one used in Christiano and Davis (2006) as well as by us in early incarnations of the business cycle accounting approach. We argue that the CKM methodology rests on more secure theoretical foundations. Finally, we show that the results from the VAR-style decomposition of Christiano and Davis reinforce the results of the business cycle decomposition of CKM.

The behavior of interest rates under the U.S. National Banking System is puzzling because of the apparent presence of persistent and large unexploited arbitrage opportunities for note issuing banks. Previous attempts to explain interest rate behavior have relied on the cost or the inelasticity of note issue. These attempts are not entirely satisfactory. Here we propose a new rationale to solve the puzzle. Inelastic note issuance arises endogenously because the marginal cost of issuing notes is an increasing function of circulation. We build a spatial separation model where some fraction of agents must move each period. Banknotes can be carried between locations; deposits cannot. Taking the model to the data on national banks, we find it matches the movements in long-term interest rates well. It also predicts movements in deposit rates during panics. However, the model displays more inelasticity of notes issuance than is in the data.

In this paper we analyze the constraints imposed by dynamic consistency in a model of optimal taxation. We assume that only distorting taxes are available to finance government consumption. Optimal fiscal policy requires the use of debt to smooth distortions over time. Dynamic consistency requires that governments at each point in time not have an incentive to default on the inherited debt. We consider policy functions which map the history of the economy including the actions of past governments into current decisions. A sustainable plan is a sequence of history-contingent policies which are optimal at each date given that future policies will be selected according to the plan. We show that if agents discount the future sufficiently little and if government consumption fluctuates then optimal sustainable plans yield policies and allocations which are identical to those under full commitment. We contrast our notion of dynamic consistency with other definitions.

In the postwar period velocity has risen so sharply in the U.S. that the ratio of money to nominal output has fallen by a factor of three. We analyze the implications of shrinking money for the real effects of a monetary shock in two classes of equilibrium monetary business cycle models: limited participation (liquidity) models and predetermined (sticky) price models. We show that the liquidity model predicts that a rise in velocity leads to a substantial reduction in the real effects of a monetary shock. In sharp contrast, we show that the real effects of a monetary shock in the sticky price model are largely invariant to changes in velocity. We provide evidence that suggests that the real effects of monetary shocks have fallen over the postwar period.