S. James Press's many contributions to statistical research, lecturing, mentoring students, the statistics profession, etc., are summarized. Then some new developments in Bayesian analysis are described and remarks on the future of Bayesian analysis are presented.

Recent literature on independent and conservative Central Banks has highlighted the possibility of achieving lower inflation for no increase in the volatility of output—especially when political influences are taken into account. We extend this idea to allow for political uncertainty, where political parties get elected with a probability that may vary over time. We find that it is no longer possible to guarantee lower inflation at no cost at all times. But it is possible to guarantee one or other property if the bank is very conservative or if the governments are always liberal. That implies a conventional inflation–output stability trade-off. However, it is also possible to have conditions in which neither property applies.

This paper explores the possible real effects of inflation within a two-sector neoclassical growth model of the Heckscher–Ohlin type with a cash-in-advance constraint on the purchases of consumption goods. The main findings are that the relative prices of both factors and of both goods, which are linked via a Stolper–Samuelson relation, depend only on the rate of time preference, not on any monetary variable; that the steady-state level of total capital can be influenced by inflation if the capital intensities and the cash requirements in both sectors differ, leading to Tobin effects or reversed Tobin effects; and that higher inflation unambiguously reduces total labor supply and leads to a reversed Tobin effect in most cases if the labor/leisure choice is endogenized.

Evolutionary game theory provides a fresh perspective on the prospect that agents with heterogeneous expectations might eventually come to agree on a single expectation corresponding to the efficient markets hypothesis. We establish conditions under which agreement on a unique forecast is stable, but also show that persistent heterogeneous expectations can arise if those conditions do not hold. The critical element is the degree of curvature in the payoff weighting functions agents use to value forecasting performance. We illustrate our results in the context of an asset pricing model where a martingale solution competes with the fundamental solution for agents' attention.

Credibility is elusive, but Blinder [(2000) American Economic Review 90, 1421–1431.] generated a consensus in the literature by arguing that “A central bank is credible if people believe it will do what it says.” To implement this idea, we first measure people’s beliefs by using survey data on inflation’s expectations. Second, we compare beliefs with explicit (or tacit) targets, taking into account the uncertainty in our estimate of beliefs (asymptotic 95% robust confidence intervals). Whenever the target falls into this interval we consider the central bank credible. We consider it not credible otherwise. We apply our approach to study the credibility of the Brazilian Central Bank (BCB) by using a world-class database—the Focus Survey of forecasts. Using monthly data from January 2007 until April 2017, we estimate people’s beliefs of inflation 12 months ahead, coupled with a robust estimate of its asymptotic 95% confidence interval. Results show that the BCB was credible 65% of the time, with the exception of a few months in the beginning of 2007 and during the interval between mid-2013 throughout mid-2016.

Why is a zero lower bound episode long-lasting and disruptive? This paper proposes the interruption of information flow from the central bank’s interest rate decision to the private sector as a channel by which the destabilizing effect of the zero lower bound constraint on the nominal interest rate is amplified. This mechanism is incorporated into the new Keynesian model by modifying its information structure. This paper shows that the information loss at the zero lower bound can increase (a) the duration of the zero lower bound episodes and (b) the size of deflation and output gap loss. The result in this paper demonstrates that enhanced information sharing by the central bank about the state of the economy can be effective at alleviating the cost of the zero lower bound.

We assess the responses of output and inflation to monetary policy shocks in the context of a Bayesian, monetary structural vector autoregressive model. We allow money supply and leverage measures to enter into the interest rate policy rule and use an identification approach that is by construction devoid of any price puzzles. We provide a comprehensive comparison between monetary policy shocks under a policy regime that follows a standard Taylor rule and those that augment the standard reaction function of the central bank with measures of leverage and the money supply. We find that contractionary monetary policy is more pronounced and persistent when the reaction function of the central bank is augmented with measures of money and leverage than when the reaction function follows a typical Taylor rule. Our results support the use and inclusion of monetary aggregates in monetary policy and business cycle analysis.

What determines the strength of the relationship between money growth and inflation? A large literature suggests that it has weakened since the 1980s, without a definitive explanation of the cause. I explore how population age structure explains changes in the pass through of money growth rates to inflation. I show that the quantity theory of money holds over long time horizons, with sizable estimates of the impact of money growth on inflation in the short to medium term. Various measures of population age structure have significant impact on the strength of this relationship. These demographics account for an increase in the transmission of money growth to prices in the 1970s and a weakening throughout the great moderation. The baby boomer cohort, now in the age groups around retirement, may exert upward pressure on this money transmission to prices at present, with ambiguous implications in the future as low fertility and rising longevity persist.

This paper investigates optimal capital taxation in an innovation-driven growth model. We examine how the optimal capital tax rate varies with externalities associated with R&D and innovation. Our results show that the optimal capital tax rate is higher when (i) the “stepping on toes effect” is smaller, (ii) the “standing on shoulders effect” is stronger, or (iii) the extent of creative destruction is smaller. The optimal capital tax rate is more likely to be positive when there is underinvestment in R&D. Moreover, the optimal capital tax rate and the monopolistic markup exhibit an inverted-U relationship. By calibrating our model to the US economy, we find that the optimal capital tax rate is positive, at a rate of around 6.6%. Finally, we consider a number of extensions and find that the result of a positive optimal capital tax is robust.

For previously identified weakly separable blockings of goods and assets, we construct aggregates using four superlative index numbers, the Fisher, Sato-Vartia, Törnqvist, and Walsh, two non-superlative indexes, the Laspeyres and Paasche, and the atheoretical simple summation. We conduct several tests to examine how well each of these aggregates “fit” the data. These tests are how close the aggregates come to solving the revealed preference conditions for weak separability, how often each aggregate gets the direction of change correct, and how well the aggregates mimic the preference ranking from revealed preference tests. We find that, as the number of goods and assets being aggregated increases, the problems with simple summation manifest.

We investigate the sectoral and the distributional effects of a food subsidy program, where food consumption in the economy is subsidized by taxing the manufacturing good producers. In a two-agent model comprising of farmer and industrialist households, agents consume food to accumulate health. Simulations indicate that while the subsidy program increases food output and agents’ health both in the short run and the long run, manufacturing output and aggregate real GDP appear to fall in the short run and increase only in the long run. The program does not make both agents better off and exhibits social welfare gains for a limited range of subsidies.

This paper estimates an enriched version of the mainstream medium-scale dynamic stochastic general equilibrium model, which features nonseparability between consumption and real money balances in utility and a systematic response of the policy rate to money growth. Estimation results show that money is a significant factor in the monetary policy rule. As a consequence, econometric analysis that omits money from Taylor rules may lead to biased estimates of the model parameters. In contrast to earlier studies that rely on small-scale models, the paper stresses the merits of using a sufficiently rich model. First, it delivers different results, such as the role of nonseparability between consumption and money in utility. Second, the rich dynamics embedded in the model allow us to explore the responses of a larger set of macroeconomic variables, making the model more informative on the effects of shocks and more useful for understanding the sources of business cycles. Third and most importantly, it reveals the possible pitfalls of relying on small-scale models when studying money’s role in business cycles.

This paper investigates the effects of a binding minimum wage in an economy which exhibits multiple unemployment equilibria. For this purpose, we develop a theoretical model based on the simple imperfectly competitive model of Manning [In Conference Papers, Economic Journal 100, 151–162 (1990)], in which we introduce labor heterogeneity and knowledge spillovers in the individual production technology. Then, using numerical simulations, we show that a binding minimum wage rules out the occurrence of an inefficient equilibrium. Last, we analyze the effects of a minimum wage increase on the labor market's outcomes.

We show that the introduction of a constant tariff or subsidy levied on foreign energy can lead to a rich set of endogenous fluctuations around the unique steady state, including stable 2-, 4-, 8-, and 15-cycles, quasiperiodic orbits, and chaos. This is demonstrated in a standard neoclassical growth model with social increasing returns to scale. Numerical exercises could be viewed from a methodological perspective as illustrating that capital income taxes and tariffs are equivalent in generating endogenous fluctuations because Guo and Lansing [Guo, J.T. and K.J. Lansing (2002) Fiscal policy, increasing returns and endogenous fluctuations. Macroeconomic Dynamics 6, 633–664] show that a constant capital tax or subsidy has the same effect on the model dynamics in a one-sector closed economy.

I embed a competitive search model of the labor market into a small open economy model with heterogeneous firms and workers. Search frictions generate equilibrium unemployment and income inequality between identical workers, in addition to income differences between skill groups. A quantitative evaluation of the U.S. trade experience suggests that the effect of the increase in goods trade since 1980 may have contributed to the increase in the college premium, but not to the increase in residual inequality.

We analyze how uncertainty about when information about future returns to a project may be revealed affects investment. Whereas good news about future returns boosts investment, good news about news (that is, news that information may arrive sooner) is shown to depress investment. We show that early revelation increases the value of an irreversible investment project to a risk-neutral investor. Our framework allows us to study irreversible investment projects whose value has a time-variable volatility. We also consider how heterogeneity of revelation information across firms may induce a better-informed firm to share its information with competitors.

This paper presents a theoretical and empirical investigation of the relationship between human capital composition and economic growth. In the theoretical analysis, we allow for nonconstant returns to scale in technological activities. Differently from previous literature, our results show that, under broad and plausible model parameterizations, the marginal growth effect of skilled workers is increasing with the distance to the frontier for sufficiently poor countries while it is decreasing (in agreement with the existing literature) only for countries close to the technological frontier. Our empirical analysis provides robust evidence for this theoretical prediction by using a 10-year panel of 85 countries for the years in between 1960 and 2000, as well as by using the System Generalized Methods of Moments (GMM) technique to address the problem of endogeneity. Results are robust to different proxies of human capital and different specifications.

We revisit the Friedman rule in a labor search model and extend Heer (2003), Cooley and Quadrini (2004), and Wang and Xie (2013) to one that allows for endogenous growth. We show that, even without a liquidity effect or a CIA constraint on firms’ wage payment, our model offers a different channel for moderate money growth to increase welfare. Intuitively, in a one-sector endogenous growth economy, the technology is of constant returns with respect to capital. When the labor market is frictional, a moderate increase in money growth induces an expansion in vacancy and employment. Labor and capital are complements in production. With an increase in employment, when the technology is neoclassical, the decreasing return in capital leads to a lower marginal product of labor. However, in an endogenous growth framework wherein the technology exhibits socially constant returns in capital, the marginal product of labor is constant. Due to a constant marginal product of labor, modest inflation raises employment, enlarges economic growth, and increases welfare. Moreover, the optimal long-run inflation rate departs from the Friedman rule, even when the Hosios rule holds. Finally, we find that our model with sustainable growth fits the data better than that without sustainable growth.

Wage dispersion is a critical factor in determining the impact of a minimum wage and severance payments on job creation and destruction in a general equilibrium model with search frictions. When wage dispersion is low, the minimum wage and severance payments behave as substitutes. However, as dispersion in wages increases, these policies become complements. The model is estimated using data from Chile and used to perform quantitative welfare analysis.