Research Database

We show that optimal monetary and fiscal policies are time consistent for a class of economies often used in applied work, economies appealing because they are consistent with the growth facts. We establish our results in two steps. We first show that for this class of economies, the Friedman rule of setting nominal interest rates to zero is optimal under commitment. We then show that optimal policies are time consistent if the Friedman rule is optimal. For our benchmark economy in which the time consistency problem is most severe, the converse also holds: if optimal policies are time consistent, then the Friedman rule is optimal.

This paper studies the impact of cross-country variation in financial market development on firms’ financing choices and growth rates using comprehensive firm-level datasets. We document that in less financially developed economies, small firms grow faster and have lower debt to asset ratios than large firms. We then develop a quantitative model where financial frictions drive firm growth and debt financing through the availability of credit and default risk. We parameterize the model to the firms’ financial structure in the data and show that financial restrictions can account for the majority of the difference in growth rates between firms of different sizes across countries.

Between 2007 and 2013, U.S. households experienced a large and persistent decline in net worth. The objective of this paper is to study the business cycle implications of such a decline. We first develop a tractable monetary model in which households face idiosyncratic unemployment risk that they can partially self-insure using savings. A low level of liquid household wealth opens the door to self-fullfilling fluctuations: if wealth-poor households expect high unemployment, they have a strong precautionary incentive to cut spending, which can make the expectation of high unemployment a reality. Monetary policy, because of the zero lower bound, cannot rule out such expectations-driven recessions. In contrast, when wealth is sufficiently high, an aggressive monetary policy can keep the economy at full employment. Finally, we document that during the U.S. Great Recession wealth-poor households increased saving more sharply than richer households, pointing towards the importance of the precautionary channel over this period.

We use a simple random growth model to study the role of changing dynamics of family firms in shaping the evolution of top wealth shares in the United States over the course of the past century. Our model generates a time path for top wealth shares. The path is remarkably similar to those found by Saez and Zucman (2016) and Gomez (2019) when the volatility of idiosyncratic shocks to the value of family firms is similar to that found for public firms by Herskovic, Kelly, Lustig, and Van Nieuwerburgh (2016). We also show that consideration of family firms contributes not only to overall wealth inequality but also to considerable upward and downward mobility of families within the distribution of wealth. We interpret our results as indicating that improving our understanding of how families found new firms and eventually diversify their wealth is central to improving our understanding of the distribution of great wealth and its evolution over time.

This paper by Baxter and Kouparitsas is an ambitious attempt to explore which variables are robust in explaining the correlations of bilateral GDP between countries at business cycle frequencies. Most of the variables turned out to be fragile. The main contribution is to show that countries with large amounts of bilateral trade tend to have robustly higher business cycle correlations. Another interesting finding is that neither currency unions nor industrial structure are robustly related to business cycle correlations.

It is well documented that on average, stock prices drop by less than the value of the dividend on ex-dividend days. This has commonly been attributed to the effect of tax clienteles. We use data from the Hong Kong stock market where neither dividends nor capital gains are taxed. As in the U.S.A. the average stock price drop is less than the value of the dividend; specifically, in Hong Kong the average dividend was HK $0.12 and the average price drop was HK $0.06. We are able to account for this both theoretically and empirically through market microstructure based arguments.

During the financial crisis, life insurers sold long-term policies at deep discounts relative to actuarial value. The average markup was as low as −19 percent for annuities and −57 percent for life insurance. This extraordinary pricing behavior was due to financial and product market frictions, interacting with statutory reserve regulation that allowed life insurers to record far less than a dollar of reserve per dollar of future insurance liability. We identify the shadow cost of capital through exogenous variation in required reserves across different types of policies. The shadow cost was $0.96 per dollar of statutory capital for the average company in November 2008.

There is an old wisdom that reductions in tariffs force changes on producers that lead to costless, or nearly so, increases in productivity. We construct a technology-ladder model that captures this wisdom. As in other technology-ladder models, time spent in research helps propel an industry up a technology-ladder. In contrast to the literature, we include another activity that plays a role in determining an industry's position on the technology-ladder: attempts to obstruct the research program of rivals (through regulations, for example). In this world, reductions in tariffs between countries lead producers to spend more time in research and less in obstruction of rivals.

We study the U.S. sugar manufacturing cartel that was created during the New Deal. This was a legal-cartel that lasted 40 years (1934-74). As a legal-cartel, the industry was assured widespread adherence to domestic and import sales quotas (given it had access to government enforcement powers). But it also meant accepting government-sponsored cartel-provisions. These provisions significantly distorted production at each factory and also where the industry was located. These distortions were reflected in, for example, a declining industry recovery rate, that is, the pounds of white sugar produced per ton of beets. It declined from about 310 pounds in 1934 to 240 pounds in 1974. The cartel provisions also distorted the location of industry. For example, it kept production in California and the Far West. Since the cartel ended in 1974, California's share of sugar production has dropped dramatically.

How big are the welfare losses from severe economic downturns, such as the U.S. Great Recession? How are those losses distributed across the population? In this paper we answer these questions using a canonical business cycle model featuring household income and wealth heterogeneity that matches micro data from the Panel Study of Income Dynamics (PSID). We document how these losses are distributed across households and how they are affected by social insurance policies. We find that the welfare cost of losing one’s job in a severe recession ranges from 2% of lifetime consumption for the wealthiest households to 5% for low-wealth households. The cost increases to approximately 8% for low-wealth households if unemployment insurance benefits are cut from 50% to 10%. The fact that welfare losses fall with wealth, and that in our model (as in the data) a large fraction of households has very low wealth, implies that the impact of a severe recession, once aggregated across all households, is very significant (2.2% of lifetime consumption). We finally show that a more generous unemployment insurance system unequivocally helps low-wealth job losers, but hurts households that keep their job, even in a version of the model in which output is partly demand determined, and therefore unemployment insurance stabilizes aggregate demand and output.

We present a 2-country model with heterogeneous agents in which changes in a country’s monetary policy affect real interest rates, relative prices of traded and nontraded goods and real exchange rates. Nontransitory real effects of monetary policy stem solely from a friction (country-specific reserve requirements) that generates separate demands for a country’s money and bonds. Without violating the classical assumptions of individual rationality and flexible prices, the model’s implications seem qualitatively in accord with the U.S. experience of the 1980s: a monetary policy tightening leading to a rise in the real interest rate and to an initial rise in the real value of the dollar which is subsequently reversed. In the model a monetary policy change leads to different welfare effects for agents born at different times, living in different countries, or participating on different sides of a market. The welfare of some agents can be affected more by relative price changes than by real interest rate changes.

This paper presents a dynamic, stochastic general equilibrium study of the causes of the international Great Depression. We use a fully articulated model to assess the relative contributions of deflation/monetary shocks, which are the most commonly cited shocks for the Depression, and productivity shocks. We find that productivity is the dominant shock, accounting for about 2/3 of the Depression, with the monetary shock accounting for about 1/3. The main reason deflation doesn’t account for more of the Depression is because there is no systematic relationship between deflation and output during this period. Our finding that a persistent productivity shock is the key factor stands in contrast to the conventional view that a continuing sequence of unexpected deflation shocks was the major cause of the Depression. We also explore what factors might be causing the productivity shocks. We find some evidence that they are largely related to industrial activity, rather than agricultural activity, and that they are correlated with real exchange rates and non-deflationary shocks to the financial sector.

No abstract available.

Applied general equilibrium models with imperfect competition and economies of scale have been extensively used for analyzing international trade and development policy issues. They offer a natural framework for testing the empirical relevance of propositions from the industrial organization and new trade theoretical literature. This paper warns model builders and users that considerable caution is needed in interpreting the results and deriving strong policy conclusions from these models: in this generation of applied general equilibrium models, nonuniqueness of equilibria is not a theoretical curiosum, but a potentially serious problem. Disregarding this may lead to dramatically wrong policy appraisals.

This paper quantitatively tests the “new trade theory” based on product differentiation, increasing returns, and imperfect competition. We employ a standard model, which allows both changes in the distribution of income among industrialized countries, emphasized by Helpman and Krugman (1985), and nonhomothetic preferences, emphasized by Markusen (1986), to effect trade directions and volumes. In addition, we generalize the model to allow changes in relative prices to have large effects. We test the model by calibrating it to 1990 data and then “backcasting” to 1961 to see what changes in crucial variables between 1961 and 1990 are predicted by the theory. The results show that, although the model is capable of explaining much of the increased concentration of trade among industrialized countries, it is not capable of explaining the enormous increase in the ratio of trade to income. Our analysis suggests that it is policy changes, rather than the elements emphasized in the new trade theory, that have been the most significant determinants of the increase in trade volume.

The magnitude of and heterogeneity in systematic earnings risk has important implications for various theories in macro, labor, and financial economics. Using administrative data, we document how the aggregate risk exposure of individual earnings to GDP and stock returns varies across gender, age, the worker’s earnings level, and industry. Aggregate risk exposure is U-shaped with respect to the earnings level. In the middle of the earnings distribution, aggregate risk exposure is higher for males, younger workers, and those in construction and durable manufacturing. At the top of the earnings distribution, aggregate risk exposure is higher for older workers and those in finance. Workers in larger employers are less exposed to aggregate risk, but they are more exposed to a common factor in employer-level earnings, especially at the top of the earnings distribution. Within an employer, higher-paid workers have higher exposure to employer-level risk than lower-paid workers.

Inflation expectations have recently received increased interest because of the uncertainty created by the Federal Reserve’s unprecedented reaction to the Great Recession. The effect of this reaction on the real economy is also an important topic. In this paper I use various surveys to produce a term structure of inflation expectations – inflation expectations at any horizon from 3 to 120 months – and an associated term structure of real interest rates. Inflation expectations extracted from this model track actual (ex-post) realizations of inflation quite well, and in terms of forecast accuracy they are at par with or superior to some popular alternatives obtained from financial variables. Looking at the period 2008–2013, I conclude that the unconventional policies of the Federal Reserve kept long-run inflation expectations anchored and provided a large level of monetary stimulus to the economy.

This paper argues that the comovement between inflation and economic activity is an important determinant of real interest rates over time and across countries. First, we show that for advanced economies, periods with more procyclical inflation are associated with lower real rates, but only when there is no risk of default on government debt. Second, we present a model of nominal sovereign debt with domestic risk-averse lenders. With procyclical inflation, nominal bonds pay out more in bad times, making them a good hedge against aggregate risk. In the absence of default risk, procyclical inflation yields lower real rates. However, procyclicality implies that the government needs to make larger (real) payments when the economy deteriorates, which could increase default risk and trigger an increase in real rates. The patterns of real rates predicted by the model are quantitatively consistent with those documented in the data.

This paper studies optimal taxation of earnings when the degree of tax progressivity is allowed to vary with age. The setting is an overlapping-generations model that incorporates irreversible skill investment, flexible labor supply, ex-ante heterogeneity in the disutility of work and the cost of skill acquisition, partially insurable wage risk, and a life cycle productivity profile. An analytically tractable version of the model without intertemporal trade is used to characterize and quantify the salient trade-offs in tax design. The key results are that progressivity should be U-shaped in age and that the average marginal tax rate should be increasing and concave in age. These findings are confirmed in a version of the model with borrowing and saving that we solve numerically.

In standard approaches to monetary policy, interest rate rules often lead to indeterminacy. Sophisticated policies, which depend on the history of private actions and can differ on and off the equilibrium path, can eliminate indeterminacy and uniquely implement any desired competitive equilibrium. Two types of sophisticated policies illustrate our approach. Both use interest rates as the policy instrument along the equilibrium path. But when agents deviate from that path, the regime switches, in one example to money; in the other, to a hybrid rule. Both lead to unique implementation, while pure interest rate rules do not. We argue that adherence to the Taylor principle is neither necessary nor sufficient for unique implementation with pure interest rate rules but is sufficient with hybrid rules. Our results are robust to imperfect information and may provide a rationale for empirical work on monetary policy rules and determinacy.

For the 1990s, the basic neoclassical growth model predicts a depressed economy, when in fact the U.S. economy boomed. We extend the base model by introducing intangible investment and non-neutral technology change with respect to producing intangible investment goods and find that the 1990s are not puzzling in light of this new theory. There is micro and macro evidence motivating our extension, and the theory’s predictions are in conformity with U.S. national accounts and capital gains. We compare accounting measures with corresponding measures for our model economy. We find that standard accounting measures greatly understate the 1990s boom.

This paper describes the continuous time stochastic process for money and inflation under which Cagan’s adaptive expectations model is optimal. It then analyzes how data formed by sampling money and prices at discrete points in time would behave.

Innovations and their adoption are the keys to growth and development. Innovations are less socially useful, but more profitable for the innovator, when they are adopted slowly and the innovator remains a monopolist. For this reason, rent-seeking, both public and private, plays an important role in determining the social usefulness of innovations. This paper examines the political economy of intellectual property, analyzing the trade-off between private and public rent-seeking. While it is true in principle that public rent-seeking may be a substitute for private rent-seeking, it is not true that this results always either in less private rent-seeking or in a welfare improvement. When the public sector itself is selfish and behaves rationally, we may experience the worst of public and private rent-seeking together.

The implications of a dynamic coalition production technology are explored. With this technology, coalitions produce the current period consumption good as well as coalition-specific capital which is embodied in young coalition members. The equilibrium allocation is efficient and displays constant growth rates, even though exogenous technological change is not a feature of the environment. Unlike the neoclassical growth model, policies which influence agents’ investment-consumption decisions affect not only the level of output, but also its constant growth rate. In addition to these growth entailments, the theory has equally important industrial organization implications. Specifically, in equilibrium there is no tendency for coalition (firm) size to regress to the mean or for the distribution of coalition sizes to become more disparate.

The idea that cartels might reduce industry productivity by misallocating production from high to low productivity producers is as old as Adam. However, the study of the economic consequences of cartels has almost exclusively focused on the losses from higher prices (i.e., Harberger triangles). Yet, as the old idea suggests, we show that the rules for quotas and side payments in the New Deal sugar cartel led to significant misallocation of production. The resulting productivity declines essentially destroyed the entire cartel profit. The magnitude of the deadweight losses (relative to value added) was large: we estimate a lower bound for the losses equal to 25 percent and 42 percent in the beet and cane industries, respectively.

In simple one-good international macro models, the presence of non-diversifiable labor income risk means that country portfolios should be heavily biased toward foreign assets. The fact that the opposite pattern of diversification is observed empirically constitutes the international diversification puzzle. We embed a portfolio choice decision in a frictionless two-country, two-good version of the stochastic growth model. In this environment, which is a workhorse for international business cycle research, we derive a closed-form expression for equilibrium country portfolios. These are biased towards domestic assets, as in the data. Home bias arises because endogenous international relative price fluctuations make domestic stocks a good hedge against non-diversifiable labor income risk. We then use our theory to link openness to trade to the level of diversification, and find that it offers a quantitatively compelling account for the patterns of international diversification observed across developed economies in recent years.

We study a model with heterogeneous producers that face collateral and cash-in-advance constraints. A tightening of the collateral constraint results in a credit-crunch-generated recession that reproduces several features of the financial crisis that unraveled in 2007 in the United States. The model can be used to study the effects of the credit-crunch on the main macroeconomic variables and the impact of alternative policies. The policy implications regarding forward guidance are in contrast with the prevalent view in most central banks, based on the New Keynesian explanation of the liquidity trap.

Under mild assumptions, the data indicate that fluctuations in nominal interest rate differentials across currencies are primarily fluctuations in time-varying risk. This finding is an immediate implication of the fact that exchange rates are roughly random walks. If most fluctuations in interest differentials are thought to be driven by monetary policy, then the data call for a theory which explains how changes in monetary policy change risk. Here we propose such a theory based on a general equilibrium monetary model with an endogenous source of risk variation—a variable degree of asset market segmentation.

Beginning in the early 1900s, Puerto Rican sugar has entered the U.S. mainland tariff free. Given this new status, the Puerto Rican sugar industry grew dramatically, soon far outstripping Louisiana’s production. Then, in the middle 1960s, something amazing happened. Production collapsed. Manufacturing sugar in Puerto Rico was no longer profitable. Louisiana, in contrast, continued to produce and grow sugar. We argue that local economic policy was responsible for the industry’s demise. In the 1930s and 1940s, the local Puerto Rican government enacted policies to stifle the growth of large cane-farms. As a result, starting in the late 1930s, farm size fell, mechanization of farms essentially ceased, and the Puerto Rican sugar industry’s productivity (relative to Louisiana) rapidly declined until the industry collapsed. The overall Puerto Rican economy also began to perform poorly in the late 1930s. In particular, Puerto Rico’s per capita income was converging to that of the poorest U.S. states until the late 1930s, but since then it has lost ground to these states. One naturally wonders: was the poor overall performance of the Puerto Rican economy also the result of policy? We show that Puerto Rico embarked on other economic policies in the early 1940s that proved to be major setbacks to its economic development.

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) and 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.

No abstract available.

This paper presents a simple coherent general equilibrium example in which optimal provision of a public good implies counter-cyclical government expenditure.

This paper describes trends in average weekly hours of market work per person and per family in the United States between 1950 and 2005. We disaggregate married couple households by skill level to determine if there is a pattern in the hours of work by wives and husbands conditional on either husband’s wages or husband’s educational attainment. The wage measure of skill allows us to compare our findings to those of Juhn and Murphy (1997), who report on trends in family labor using a different data set. The educational measure of skill allows us to construct a longer time series. We find several interesting patterns. The married women with the largest increase in market hours are those with high-skilled husbands. When we compare households with different skill mixes, we also find dramatic differences in the time paths, with higher skill households having the largest increase in average hours over time.

We show that in a dynamic Heckscher-Ohlin model the timing of a country’s development relative to the rest of the world affects the path of the country’s development. A country that begins the development process later than most of the rest of the world—a late-bloomer—ends up with a permanently lower level of income than the early-blooming countries that developed earlier. This is true even though the late-bloomer has the same preferences, technology, and initial capital stock that the early-bloomers had when they started the process of development. This result stands in stark contrast to that of the standard one-sector growth model in which identical countries converge to a unique steady state, regardless of when they start to develop.

We assess the economic value of screening testing programs as a policy response to the ongoing COVID-19 pandemic. We find that the fiscal, macroeconomic, and health benefits of rapid SARS-CoV-2 screening testing programs far exceed their costs, with the ratio of economic benefits to costs typically in the range of 2-15 (depending on program details), not counting the monetized value of lives saved. Unless the screening test is highly specific, however, the signal value of the screening test alone is low, leading to concerns about adherence. Confirmatory testing increases the net economic benefits of screening tests by reducing the number of healthy workers in quarantine and by increasing adherence to quarantine measures. The analysis is undertaken using a behavioral SIR model for the United States with 5 age groups, 66 economic sectors, screening and diagnostic testing, and partial adherence to instructions to quarantine or to isolate.

With a monetary union in place, many European countries are now debating if and how to coordinate their tax policies. Of particular interest to EU ministers is taxation of mobile factors like capital. Mendoza and Tesar (MT) use a game-theoretic approach to address the question, What is the outcome of tax competition and tax coordination when countries choose the tax on capital income and adjust other tax rates to keep revenues constant? MT predict very large welfare gains (losses) to tax competition for European countries that had high (low) tax rates prior to financial integration. In particular they predict a large gain for the United Kingdom and a large loss for countries in continental Europe. A second finding is that the welfare gains of tax coordination relative to that of tax competition are small. I discuss these findings in light of current policy debates and possible future extensions of this work.

Mehra and Prescott (1985) found the difference between average equity and debt returns puzzling because it was too large to be a premium for bearing nondiversifiable aggregate risk. Here, we re-examine this puzzle, taking into account some factors ignored by Mehra and Prescott—taxes, regulatory constraints, and diversification costs—and focusing on long-term rather than short-term savings instruments. Accounting for these factors, we find the difference between average equity and debt returns during peacetime in the last century is less than 1 percent, with the average real equity return somewhat under 5 percent, and the average real debt return almost 4 percent. As theory predicts, the real return on debt has been close to the 4 percent average after-tax real return on capital. Similarly, as theory predicts, the real return on equity is equal to the after-tax real return on capital plus a modest premium for bearing nondiversifiable aggregate risk.

Banks' ratio of the market value to book value of their equity was close to 1 until the 1990s, then more than doubled during the 1996-2007 period, and fell again to values close to 1 after the 2008 financial crisis. Sarin and Summers (2016) and Chousakos and Gorton (2017) argue that the drop in banks' market-to-book ratio since the crisis is due to a loss in bank franchise value or profitability. In this paper we argue that banks' market-to-book ratio is the sum of two components: franchise value and the value of government guarantees. We empirically decompose the ratio between these two components and find that a large portion of the variation in this ratio over time is due to changes in the value of government guarantees.

We investigate, by Monte Carlo methods, the finite sample properties of GMM procedures for conducting inference about statistics that are of interest in the business cycle literature. These statistics include the second moments of data filtered using the first difference and Hodrick-Prescott filters, and they include statistics for evaluating model fit. Our results indicate that, for the procedures considered, the existing asymptotic theory is not a good guide in a sample the size of quarterly postwar U.S. data.

During the downturn of 2008–2009, output and hours fell significantly while labor productivity rose. These facts have led many to conclude that there is a significant deviation between observations and current macrotheories that assume business cycles are driven, at least in part, by fluctuations in total factor productivities of firms. We show that once investment in intangible capital is included in the analysis, there is no inconsistency. Measured labor productivity rises if the fall in output is underestimated; this occurs when there are large unmeasured intangible investments. Microevidence suggests that these investments are large and cyclically important.

We study the optimal design of unemployment insurance for workers sampling job opportunities over time. We focus on the optimal timing of benefits and the desirability of allowing workers to freely access a riskless asset. When workers have constant absolute risk aversion preferences, it is optimal to use a very simple policy: a constant benefit during unemployment, a constant tax during employment that does not depend on the duration of the spell, and free access to savings using a riskless asset. Away from this benchmark, for constant relative risk aversion preferences, the welfare gains of more elaborate policies are minuscule. Our results highlight two largely distinct roles for policy toward the unemployed: (a) ensuring workers have sufficient liquidity to smooth their consumption; and (b) providing unemployment benefits that serve as insurance against the uncertain duration of unemployment spells.

We propose a methodology for studying changes in bilateral commodity trade due to goods not exported previously or exported only in small quantities. Using a panel of 1,900 country pairs, we find that increased trade of these “least-traded goods” is an important factor in trade growth. This extensive margin accounts for 10 percent of the growth in trade for NAFTA country pairs, for example, and 26 percent in trade between the United States and Chile, China, and Korea. Looking at country pairs with no major trade policy change or structural change, however, we find little change in the extensive margin.

Does macroeconomic volatility/uncertainty affect accumulation of net foreign assets? In OECD economies over the period 1970-2012, changes in country specific aggregate volatility are, after controlling for a wide array of factors, significantly positively associated with net foreign asset position. An increase in volatility (measured as the standard deviation of GDP growth) of 0.5% over period of 10 years is associated with an increase in the net foreign assets of around 8% of GDP. A standard open economy model with time varying aggregate uncertainty can quantitatively account for this relationship. The key mechanism is precautionary motive: more uncertainty induces residents to save more, and higher savings are in part channeled into foreign assets. We conclude that both data and theory suggest uncertainty/volatility is an important determinant of the medium/long run evolution of external imbalances in developed countries.

It is often argued that with a positively skewed income distribution (median less than mean) majority voting would result in higher tax rates than maximizing average welfare and, hence, lower aggregate savings. We reexamine this view in a capital accumulation model, in which distorting redistributive taxes provide insurance against idiosyncratic shocks and income distributions evolve endogenously. We find small differences of either sign between the tax rates set by a majority voting and a utilitarian government, for reasonable parametric specifications, despite the fact that model simulations produce positively skewed distributions of total income across agents.

The financialization view is that increased trading in commodity futures markets is associated with increases in the growth rate and volatility of commodity spot prices. This view gained credence be-cause in the 2000s trading volume increased sharply and many commodity prices rose and became more volatile. Using a large panel dataset we constructed, which includes commodities with and with-out futures markets, we find no empirical link between increased futures market trading and changes in price behavior. Our data sheds light on the economic role of futures markets. The conventional view is that futures markets provide one-way insurance by allowing outsiders, traders with no direct interest in a commodity, to insure insiders, traders with a direct interest. The data are not consistent with the conventional view and we argue that they point to an alternative mutual insurance view, in which all participants insure each other. We formalize this view in a model and show that it is consistent with key features of the data.

This paper explores the extent to which the Mexican government's inability to roll over its debt during December 1994 and January 1995 can be modeled as a self-fulfilling debt crisis. In the model there is a crucial interval of debt for which the government, although it finds it optimal to repay old debt if it can sell new debt, finds it optimal to default if it cannot sell new debt. If government debt is in this interval, which we call the crisis zone, then we can construct equilibria in which a crisis can occur stochastically, depending on the realization of a sunspot variable. The size of this zone depends on the average length of maturity of government debt. Our analysis suggests that for a country, like Mexico, with a very short maturity structure of debt, the crisis zone is large and includes levels of debt as low as that in Mexico before the crisis.

No abstract available.

Previous work has had difficulty generating household saving behavior that makes the distribution of wealth much more concentrated than that of labor earnings, and that makes the richest households hold onto large amounts of wealth, even during very old age. I construct a quantitative, general equilibrium, overlapping-generations model in which parents and children are linked by accidental and voluntary bequests and by earnings ability. I show that voluntary bequests can explain the emergence of large estates, while accidental bequests alone cannot, and that adding earnings persistence within families increases wealth concentration even more. I also show that the introduction of a bequest motive generates lifetime savings profiles more consistent with the data.

As part of compensation, municipal employees typically receive promises of future benefits. Motivated by the recent bankruptcy of Detroit, we develop a model of the equilibrium size of a city and use it to analyze how pay-with-promises schemes interact with city growth. The paper examines the circumstances under which a death spiral arises, where cutbacks of city services and increases in taxes lead to an exodus of residents, compounding financial distress. The model is put to work to analyze issues such as the welfare effects of having cities absorb pension risk and how unions affect the likelihood of a death spiral.

Financial crises are widely argued to be due to herd behavior. Yet recently developed models of herd behavior have been subjected to two critiques which seem to make them inapplicable to financial crises. Herds disappear from these models if two of their unappealing assumptions are modified: if their zero-one investment decisions are made continuous and if their investors are allowed to trade assets with market-determined prices. However, both critiques are overturned—herds reappear in these models—once another of their unappealing assumptions is modified: if, instead of moving in a prespecified order, investors can move whenever they choose.

In January 2015, in the face of sustained capital inflows, the Swiss National Bank abandoned the floor for the Swiss Franc against the Euro, a decision which led to the appreciation of the Swiss Franc. The objective of this paper is to present a simple framework that helps to better understand the timing of this episode, which we label a “reverse speculative attack". We model a central bank which wishes to maintain a peg, and responds to increases in demand for domestic currency by expanding its balance sheet. In contrast to the classic speculative attacks, which are triggered by the depletion of foreign assets, reverse attacks are triggered by the concern of future balance sheet losses. Our key result is that the interaction between the desire to maintain the peg and the concern about future losses, can lead the central bank to first accumulate a large amount of reserves, and then to abandon the peg, just as we have observed in the Swiss case.

The optimal choice of a monetary policy instrument depends on how tight and transparent the available instruments are and on whether policymakers can commit to future policies. Tightness is always desirable; transparency is only if policymakers cannot commit. Interest rates, which can be made endogenously tight, have a natural advantage over money growth and exchange rates, which cannot. As prices, interest and exchange rates are more transparent than money growth. All else equal, the best instrument is interest rates and the next-best, exchange rates. These findings are consistent with the observed instrument choices of developed and less-developed economies.

How much discretion should the monetary authority have in setting its policy? This question is analyzed in an economy with an agreed-upon social welfare function that depends on the randomly fluctuating state of the economy. The monetary authority has private information about that state. In the model, well-designed rules trade off society’s desire to give the monetary authority discretion to react to its private information against society’s need to guard against the time inconsistency problem arising from the temptation to stimulate the economy with unexpected inflation. Although this dynamic mechanism design problem seems complex, society can implement the optimal policy simply by legislating an inflation cap that specifies the highest allowable inflation rate. The more severe the time inconsistency problem and the less important is private information, the smaller is the optimal degree of discretion. As either the time inconsistency problem becomes sufficiently severe or private information becomes sufficiently unimportant, the optimal degree of discretion is none.

This chapter is structured in three parts. The first part outlines the methodological steps, involving both theoretical and empirical work, for assessing whether an observed allocation of resources across countries is efficient. The second part applies the methodology to the long-run allocation of capital and consumption in a large cross section of countries. We find that countries that grow faster in the long run also tend to save more both domestically and internationally. These facts suggest that either the long-run allocation of resources across countries is inefficient, or that there is a systematic relation between fast growth and preference for delayed consumption. The third part applies the methodology to the allocation of resources across developed countries at the business cycle frequency. Here we discuss how evidence on international quantity comovement, exchange rates, asset prices, and international portfolio holdings can be used to assess efficiency. Overall, quantities and portfolios appear consistent with efficiency, while evidence from prices is difficult to interpret using standard models. The welfare costs associated with an inefficient allocation of resources over the business cycle can be significant if shocks to relative country permanent income are large. In those cases partial financial liberalization can lower welfare.

We conduct a systematic empirical study of cross-sectional inequality in the United States, integrating data from the Current Population Survey, the Panel Study of Income Dynamics, the Consumer Expenditure Survey, and the Survey of Consumer Finances. In order to understand how different dimensions of inequality are related via choices, markets, and institutions, we follow the mapping suggested by the household budget constraint from individual wages to individual earnings, to household earnings, to disposable income, and, ultimately, to consumption and wealth. We document a continuous and sizable increase in wage inequality over the sample period. Changes in the distribution of hours worked sharpen the rise in earnings inequality before 1982, but mitigate its increase thereafter. Taxes and transfers compress the level of income inequality, especially at the bottom of the distribution, but have little effect on the overall trend. Finally, access to financial markets has limited both the level and growth of consumption inequality.

The difference between average borrowing and lending rates in the United States is over 2 percent. In spite of this large difference, there is over 1.7 times GNP in 2007 of intermediated borrowing and lending between households. In this paper a model is developed consistent with these facts. The only difference within an age cohort is preferences for bequests. Individuals with little or no bequest motive are lenders, while individuals with strong bequest motive are borrowers and owners of productive capital. Given no aggregate uncertainty, the return on equity is the same as the household borrowing rate. The government can borrow at the household lending rate, so there is a 2 percent equity premium in our world with no aggregate uncertainty. We examine the distribution and life cycle patterns of asset holding and consumption and find there is large dispersion in asset holdings and little in consumption.

This paper was subsequently published as Working Paper 685 under the title "Costly Financial Intermediation in Neoclassical Growth Theory."

This paper presents a welfare analysis of monetary policy rules that differ as regards the extent to which monetary policy accommodates an exogenous, stochastic deficit. Examples show that a nonaccommodating rule, one involving a higher ratio of bonds to currency the higher the deficit, is not necessarily better than rules that accommodate: either a rule involving a constant ratio of bonds to currency or one involving a lower ratio of bonds to currency the higher the deficit. Moreover, the nonaccommodating rule can imply more variation in the price level than the accommodating rules.

Our suggestion consists of three postulates: assets are valued only in terms of their payoffs, perfect foresight, and complete and costless markets under laissez-faire. Together these postulates imply that the crucial anomaly, rate-of-return dominance of “money,” is to be explained by legal restrictions.

Our defense of these postulates is two-fold. First we compare them with existing alternative theories. Second, we provide an illustrative model which : (a) is consistent with the postulates, (b) implies rate-of-return dominance under suitable legal restrictions, and (c) addresses monetary policy questions with standard welfare economics and, in particular, rationalizes in terms of price discrimination a debt management policy that “tailors debt issues to the needs of the market.”

This paper studies the quantitative properties of fiscal and monetary policy in business cycle models. In terms of fiscal policy, optimal labor tax rates are virtually constant and optimal capital income tax rates are close to zero on average. In terms of monetary policy, the Friedman rule is optimal—nominal interest rates are zero—and optimal monetary policy is activist in the sense that it responds to shocks to the economy.

This paper considers whether short-period deterministic cycles can exist in a class of stationary overlapping generations models with long- (but finite-) lived agents. It shows that if agents discount the future positively, then as life spans get large, nonmonetary cycles will disappear. Further, neither constant monetary steady states nor stationary monetary cycles can exist. It also shows that if agents discount the future negatively, then there are robust examples in which constant monetary steady states as well as stationary monetary cycles (with undiminished amplitude) can occur no matter how long agents live.

The recent debt crises in Europe and the U.S. states feature similar sharp increases in spreads on government debt but also show important differences. In Europe, the crisis occurred at high government indebtedness levels and had spillovers to the private sector. In the United States, state government indebtedness was low, and the crisis had no spillovers to the private sector. We show theoretically and empirically that these different debt experiences result from the interplay between differences in the ability of governments to interfere in private external debt contracts and differences in the flexibility of state fiscal institutions.

An economic experiment consists of the act of placing people in an environment desired by the experimenter, who then records the time paths of their economic behavior. Performing experiments that use actual people at the level of national economies is obviously not practical, but constructing a model economy and computing the economic behavior of the model’s people is. We refer to such experiments as computational experiments because the economic behavior of the model’s people is computed. In this essay, we specify the steps in designing a computational experiment to address some well posed quantitative question. We emphasize that the computational experiment is an econometric tool used in the task of deriving the quantitative implications of theory.

I document that cross-country productivity differences in retail trade, which employs around 20% of workers, are accounted for in large part by compositional differences. In richer countries, most retailing is done in modern stores, with high measured output per worker, whereas in developing countries, retail trade is dominated by less-productive traditional stores. I hypothesize that developing countries rationally adopt few modern stores since car ownership rates are low. A simple quantitative model of home production supports the role of cars in determining the composition of retail technologies used and retail-sector productivity differences across countries.

Previous studies of the U.S. Great Depression find that increased government spending and taxation contributed little to either the dramatic downturn or the slow recovery. These studies include only one type of capital taxation: a business profits tax. The contribution is much greater when the analysis includes other types of capital taxes. A general equilibrium model extended to include taxes on dividends, property, capital stock, and excess and undistributed profits predicts patterns of output, investment, and hours worked that are more like those in the 1930s than found in earlier studies. The greatest effects come from the increased taxes on corporate dividends and undistributed profits.

Wage inequality has been significantly higher in the United States than in continental European countries (CEU) since the 1970s. Moreover, this inequality gap has further widened during this period as the US has experienced a large increase in wage inequality, whereas the CEU has seen only modest changes. This paper studies the role of labor income tax policies for understanding these facts. We begin by documenting two new empirical facts that link these inequality differences to tax policies. First, we show that countries with more progressive labor income tax schedules have significantly lower before-tax wage inequality at different points in time. Second, progressivity is also negatively correlated with the rise in wage inequality during this period. We then construct a life cycle model in which individuals decide each period whether to go to school, work, or be unemployed. Individuals can accumulate skills either in school or while working. Wage inequality arises from differences across individuals in their ability to learn new skills as well as from idiosyncratic shocks. Progressive taxation compresses the (after-tax) wage structure, thereby distorting the incentives to accumulate human capital, in turn reducing the cross-sectional dispersion of (before-tax) wages. We find that these policies can account for half of the difference between the US and the CEU in overall wage inequality and 76% of the difference in inequality at the upper end (log 90-50 differential). When this economy experiences skill-biased technological change, progressivity also dampens the rise in wage dispersion over time. The model explains 41% of the difference in the total rise in inequality and 58% of the difference at the upper end.

No abstract available.

No abstract available.

A prediction formula for geometrically declining sums of future forcing variables is derived for models in which the forcing variables are generated by a vector autoregressive-moving average process. This formula is useful in deducing and characterizing cross-equation restrictions implied by linear rational expectations models.

This paper illustrates how to use instrumental variables procedures to estimate the parameters of a linear rational expectations model. These procedures are appropriate when disturbances are serially correlated and the instrumental variables are not exogenous.

A unified growth theory is developed that accounts for the roughly constant living standards displayed by world economies prior to 1800 as well as the growing living standards exhibited by modern industrial economies. Our theory also explains the industrial revolution, which is the transition from an era when per capita incomes are stagnant to one with sustained growth. We use a standard growth model with one good and two available technologies. The first, denoted the Malthus technology, requires land, labor, and reproducible capital as inputs. The second, denoted the Solow technology, does not require land. We show that in the early stages of development, only the Malthus technology is used, and, due to population growth, living standards are stagnant despite technological progress. Eventually, technological progress causes the Solow technology to become profitable, and both technologies are employed. In the limit, the economy behaves like a standard Solow growth model.

We explore monetary policy in a world without currency. In our world, money is a form of government debt that bears interest, which can be negative as well as positive. Services of money are a factor of production. We show that the national accounts must be revised in this world. Using our baseline economy, we determine the balanced growth paths for a set of money interest rate target policy regimes. Besides this interest rate, the only policy variable that differs across regimes is either the labor income tax rate or the inflation rate. We find that Friedman monetary satiation without deflation is possible. We also examine a set of inflation rate targeting regimes. Here, the only other policy variable that differs across policy regimes is the tax rate. There is a sequence of markets with outcome in each market being a Debreu valuation equilibrium, which determines the vector of assets and liabilities households take into the subsequent period. Evaluating a policy regime is an advanced exercise in public finance. Monetary satiation is not optimal even though money is costless to produce. A preliminary version of this paper circulated under the title “Monetary Policy with 100 Percent Reserve Banking: An Exploration.”

Although the role of financial constraints on entrepreneurial choices has received considerable attention, the effects of these constraints on aggregate capital accumulation and wealth inequality are less known. Entrepreneurship is an important determinant of capital accumulation and wealth concentration and, conversely, the distribution of wealth affects entrepreneurial choices in the presence of borrowing constraints. We construct a model that matches wealth inequality very well, for both entrepreneurs and non-entrepreneurs, and find that more restrictive borrowing constraints generate less wealth concentration, but also reduce average firm size, aggregate capital, and the fraction of entrepreneurs. We also find that voluntary bequests are an important channel that allows some high-ability workers to establish or enlarge an entrepreneurial activity: with accidental bequests only, there would be fewer large firms, fewer entrepreneurs, and less aggregate capital, but also less wealth concentration.

In this paper, we build a model of the transition following large-scale economic reforms that predicts both a substantial drop in output and a prolonged pause in physical investment as the initial phase of the optimal transition following the reform. We model reform as a change in policy which induces agents to close existing enterprises using old technologies of production and to open up new enterprises adopting new technologies of production. The central idea of our paper is that it is costly to close old enterprises and open new enterprises because, in doing so, information capital built up about old enterprises is lost and time must pass before information capital about new enterprises can be acquired. Thus, an acceleration of the pace of industry evolution leads in the short run to a net loss of information capital, a drop in productivity, a recession, and a fall in physical investment. We calibrate our model of industry evolution, information capital, and transition to match micro data on industry evolution in the United States and macro data from the United States, Japan, and the former communist countries of Europe. We find that the loss of information capital that accompanies a major acceleration in the pace of industry evolution in an economy leads initially to a decade of recession and a five year pause in physical investment before the benefits of reform are realized.

This paper reviews selected studies in the theory of macroeconomic stabilization policy and summarizes their key findings. A simple model is constructed which includes all surveyed models as special cases. All solutions are derived and described step by step.

In the 1970s, U.S. asset markets witnessed (i) a 25% dip in the ratio of aggregate household wealth relative to GDP and (ii) negative comovement of house and stock prices that drove a 20% portfolio shift out of equity into real estate. This study uses an overlapping generations model with uninsurable nominal risk to quantify the role of structural change in these events. We attribute the dip in wealth to the entry of baby boomers into asset markets, and to the erosion of bond portfolios by surprise inflation, both of which lowered the overall propensity to save. We also show that the Great Inflation led to a portfolio shift by making housing more attractive than equity. Apart from tax effects, a new channel is that disagreement about inflation across age groups drives up collateral prices when credit is nominal.

This paper is an extension of Monika Piazzesi's and Martin Schneider's work while they were in the Research Department of the Federal Reserve Bank of Minneapolis.

Our objective is to understand how fundamental uncertainty can affect the long-run growth rate and what factors determine the nature of the relationship. Qualitatively, we show that the relationship between volatility in fundamentals and policies and mean growth can be either positive or negative. We identify the curvature of the utility function as a key parameter that determines the sign of the relationship. Quantitatively, we find that when we move from a world of perfect certainty to one with uncertainty that resembles the average uncertainty in a large sample of countries, growth rates increase, but not enough to account for the large differences in mean growth rates observed in the data. However, we find that differences in the curvature of preferences have substantial effects on the estimated variability of stationary objects like the consumption/output ratio and hours worked.

Trade protection remains a prominent feature of the current world economy and likely has significant effects on industries and macroeconomies. In this paper a particular type of policy, price supports, is analyzed in a two-country, dynamic, general equilibrium model. This model brings new perspectives to the analysis in that it is monetary and has labor mobility within countries between the traded-goods and non–traded-goods sectors. It is found that: (1) The introduction of price supports in an economy benefits only the agents currently working in the traded-goods sector. (2) Cooperation among countries in setting policies results in a higher level of price supports than does noncooperation. (3) Price-support policies can importantly affect the transmission of monetary policy effects, introducing permanent changes in real variables where there were none before and even reversing the signs of changes in some variables.

To understand how best to combat COVID-19, we must understand how deadly is the disease. There is a substantial debate in the epidemiological literature as to whether the fatality rate is 1% or 0.1% or somewhere in between. In this note, I use an SIR model to examine why it is difficult to estimate the fatality rate from the disease and how long we might have to wait to resolve this question absent a large-scale randomized testing program. I focus on uncertainty over the joint distribution of the fatality rate and the initial number of active cases at the start of the epidemic around January 15, 2020. I show how the model with a high initial number of active cases and a low fatality rate gives the same predictions for the evolution of the number of deaths in the early stages of the pandemic as the same model with a low initial number of active cases and a high fatality rate. The problem of distinguishing these two parameterizations of the model becomes more severe in the presence of effective mitigation measures. As discussed by many, this uncertainty could be resolved now with large-scale randomized testing.

This paper studies an environment in which the investment opportunities of agents are private information and shows that financial intermediaries arise endogenously within that environment. It establishes that financial intermediaries are part of an efficient arrangement in the sense that they are needed to support the authors’ private information core allocations. These intermediaries, which are coalitions of agents, exhibit the following characteristics in equilibrium: they borrow from and lend to large groups of agents; they produce information about investment projects; and they issue claims that have different state contingent payoffs than claims issued by ultimate borrowers.

When credit markets to finance investment in human capital are missing, the competitive equilibrium allocation is inefficient. When generations overlap, this failure can be mitigated by properly designed social arrangements. We show that public financing of education and public pensions can be designed to implement an intergenerational transfer scheme supporting the complete market allocation. Neither the public financing of education nor the pension scheme we consider resemble standard ones. In our mechanism, via the public education system, the young borrow from the middle aged to invest in human capital. They pay back the debt via a social security tax, the proceedings of which finance pension payments. When the complete market allocation is achieved, the rate of return implicit in this borrowing-lending scheme should equal the market rate of return.

The marginal cost of plant capacity, measured by the price of equity, is significantly procyclical. Yet, the price of a major intermediate input into expanding plant capacity, investment goods, is countercyclical. The ratio of these prices is Tobin's q. Following convention, we interpret the fact that Tobin's q differs from unity at all, as reflecting that there are diminishing returns to expanding plant capacity by installing investment goods ("adjustment costs"). However, the phenomenon that interests us is not just that Tobin's q differs from unity, but also that its numerator and denominator have such different cyclical properties. We interpret the sign switch in their covariation with output as reflecting the interaction of our adjustment cost specification with the operation of two shocks: one which affects the demand for equity and another which shifts the technology for producing investment goods. The adjustment costs cause the two prices to respond differently to these two shocks, and this is why it is possible to choose the shock variances to reproduce the sign switch. These model features are incorporated into a modified version of a model analyzed in Boldrin, Christiano and Fisher (1995). That model incorporates assumptions designed to help account for the observed mean return on risk free and risky assets. We find that the various modifications not only account for the sign switch, but they also continue to account for the salient features of mean asset returns. We turn to the business cycle implications of our model. The model does as well as standard models with respect to conventional business cycle measures of volatility and comovement with output, and on one dimension the model significantly dominates standard models. The factors that help it account for prices and rates of return on assets also help it account for the fact that employment across a broad range of sectors moves together over the cycle.

Businesses hold large quantities of cash reserves, which have average returns well below their investments in tangible capital. Businesses do this because these monetary assets provide services. One implication is that money services is a factor of production in capital theoretic valuation equilibrium models. Our aggregate production function is consistent with both the classical demand for money function relationship and with extended periods of near zero short-term nominal interest rates. In our model economy, there is a 100 percent reserve requirement on all demand deposits. Demand deposits are legal tender. We find (i) money services in the production function necessitates revisions in the national accounts; (ii) monetary and fiscal policy cannot be completely separated; (iii) for a given policy, equilibrium is either unique or does not exist; and (iv) Friedman’s monetary satiation is not optimal. We make quantitative comparisons between interest rate targeting regimes and between inflation rate targeting regimes. The best inflation rate target was 2 percent.

This is a note on the analysis of inflation and taxation in Cooley and Hansen’s cash-in-advance economy described in their paper “The Welfare Costs of Moderate Inflations.” Basic issues concerning the costs and consequences of inflation are considered, their results are assessed, and some directions for extensions are suggested.

Time consistent optimal plans are defined within the context of a simple, discrete time optimal control framework. Three possible sources of inconsistency are identified and discussed with reference to the literature.

Recent advances in duality theory have made it easier to discover relationships between asset prices and the portfolio choices based on them. But this approach to arbitrage-free securities markets has yet to be extended and applied to economies with transactions costs. This paper does so, within the context of a general state-preference model of securities markets. Several applications are developed to illustrate the nature of the theory and its potential to resolve a host of issues surrounding the effects of transactions costs on securities markets.

This online appendix accompanies Staff Report 620: Star Wars at Central Banks.

Supplemental data and code for replication.

We ask whether a two-country real business cycle model can account simultaneously for domestic and international aspects of business cycles. With this question in mind, we document a number of discrepancies between theory and data. The most striking discrepancy concerns the correlations of consumption and output across countries. In the data, outputs are generally more highly correlated across countries than consumptions. In the model we see the opposite.

We investigate the consequences of demographic change for business cycle analysis. We find that changes in the age composition of the labor force account for a significant fraction of the variation in business cycle volatility observed in the U.S. and other G7 economies. During the postwar period, these countries experienced dramatic demographic change, although details regarding extent and timing differ from place to place. Using panel-data methods, we exploit this variation to show that the age composition of the workforce has a large and statistically significant effect on cyclical volatility. We conclude by relating these findings to the recent decline in U.S. business cycle volatility. Using both simple accounting exercises and a quantitative general equilibrium model, we find that demographic change accounts for a significant part of this moderation.

Japan is facing the problem of how to finance retirement, health care, and long-term care expenditures as the population ages. This paper analyzes the impact of policy options intended to address this problem by employing a dynamic general equilibrium overlapping generations model, specifically parameterized to match both the macro- and microeconomic level data of Japan. We find that financing the costs of aging through gradual increases in the consumption tax rate delivers better macroeconomic performance and higher welfare for most individuals relative to other financing options, including raising social security contributions, debt financing, and a uniform increase in health care and long-term care copayments.

The goal of this chapter is to study how, and by how much, household income, wealth, and preference heterogeneity amplify and propagate a macroeconomic shock. We focus on the U.S. Great Recession of 2007-2009 and proceed in two steps. First, using data from the Panel Study of Income Dynamics, we document the patterns of household income, consumption and wealth inequality before and during the Great Recession. We then investigate how households in different segments of the wealth distribution were affected by income declines, and how they changed their expenditures differentially during the aggregate downturn. Motivated by this evidence, we study several variants of a standard heterogeneous household model with aggregate shocks and an endogenous cross-sectional wealth distribution. Our key finding is that wealth inequality can significantly amplify the impact of an aggregate shock, and it does so if the distribution features a sufficiently large fraction of households with very little net worth that sharply increase their saving (i.e. they are not hand-to mouth) as the recession hits. We document that both these features are observed in the PSID. We also investigate the role that social insurance policies, such as unemployment insurance, play in shaping the cross-sectional income and wealth distribution, and through it, the dynamics of business cycles.

This paper explores the consequences of new information technologies, such as bar codes and computer-tracking of inventories, for the optimal organization of retail. The first result is that there is a complementarity between the new information technology and frequent deliveries. This is consistent with the recent move in the retail sector toward higher-frequency delivery schedules. The second result is that adoption of the new technology tends to increase store size. This is consistent with recent increases in store size and the success of the superstore model of retail organization.

In this paper, we consider an environment in which agents’ skills are private information, are potentially multi-dimensional, and follow arbitrary stochastic processes. We allow for arbitrary incentive-compatible and physically feasible tax schemes. We prove that it is typically Pareto optimal to have positive capital taxes. As well, we prove that in any given period, it is Pareto optimal to tax consumption goods at a uniform rate.

Optimal linear regulator methods are used to represent a class of models of endogenous equilibrium seasonality that has so far received little attention. Seasonal structure is built into these models in either of two equivalent ways: periodically varying the coefficient matrices of a formerly nonseasonal problem or embedding this periodic-coefficient problem in a higher-dimensional sparse system whose time-invariant matrices have a special pattern of zero blocks. The former structure is compact and convenient computationally; the latter can be used to apply familiar convergence results from the theory of time-invariant optimal regulator problems. The new class of seasonality models provides an equilibrium interpretation for empirical work involving periodically stationary time series.

The founding fathers of the Econometric Society defined econometrics to be quantitative economic theory. A vision of theirs was the use of econometrics to provide quantitative answers to business cycle questions. The realization of this dream required a number of advances in pure theory—in particular, the development of modern general equilibrium theory. The econometric problem is how to use these tools along with measurement to answer business cycles questions. In this essay, we review this econometric development and contrast it with the econometric approach that preceded it.

This appendix contains the pre-registered analysis for our comment on “Star Wars: The Empirics Strike Back” by Brodeur et al (2016). To structure the analysis, we reproduce the pre-registration; our results appear in red under each of the relevant parts. The time-stamped version of the pre-registration is available from the Open Science Framework website at the address https://doi.org/10.17605/OSF.IO/58MNJ.

To understand this appendix deeply, we recommend carefully reading Brodeur et al (2016). The body of our comment paper outlines only the intuition of their method. In some of the figures presented in this appendix, we use labels that differ from those in Brodeur et al. (2016), and we do so to more clearly connect to the intuition we offer.

The interplay between competition and trust as efficiency-enhancing mechanisms in the private provision of money is studied. With commitment, trust is automatically achieved and competition ensures efficiency. Without commitment, competition plays no role. Trust does play a role but requires a bound on efficiency. Stationary inflation must be non-negative and, therefore, the Friedman rule cannot be achieved. The quality of money can be observed only after its purchasing capacity is realized. In this sense, money is an experience good.

The question of the existence and uniqueness of a stationary equilibrium for distorted versions of the standard neoclassical growth model is addressed in this paper. The conditions presented guaranteeing the existence and uniqueness of nontrivial equilibrium for the class of economies under study are simple and intuitively appealing, while the existence and uniqueness proof developed is elementary. Examples are presented illustrating that economies with distortional taxation, endogenous growth with externalities, and monopolistic competition can all fit into the framework developed.

Brazil has had a long period of high inflation. It peaked around 100 percent per year in 1964, decreased until the first oil shock (1973), but accelerated again afterward, reaching levels above 100 percent on average between 1980 and 1994. This last period coincided with severe balance of payments problems and economic stagnation that followed the external debt crisis in the early 1980s. We show that the high-inflation period (1960-1994) was characterized by a combination of fiscal deficits, passive monetary policy, and constraints on debt financing. The transition to the low-inflation period (1995-2016) was characterized by improvements in all of these features, but it did not lead to significant improvements in economic growth. In addition, we document a strong positive correlation between inflation rates and seigniorage revenues, although inflation rates are relatively high for modest levels of seigniorage revenues. Finally, we discuss the role of the weak institutional framework surrounding the fiscal and monetary authorities and the role of monetary passiveness and inflation indexation in accounting for the unique features of inflation dynamics in Brazil.