Optimal monetary policy with durable consumption goods

We document that the durable goods sector is much more interest-sensitive than the nondurables sector, and then investigate the implications of these sectoral differences for monetary policy. We formulate a two-sector general equilibrium model that is calibrated both to match the sectoral responses to a monetary shock derived from our empirical VAR and to imply an empirically realistic degree of sectoral output volatility and comovement. While the social welfare function involves sector-specific output gaps and inflation rates, the performance of the optimal policy rule can be closely approximated by a simple rule that targets a weighted average of aggregate wage and price inflation. In contrast, a rule that stabilizes a more narrow measure of final goods price inflation performs poorly in terms of social welfare.     

Intersectoral Labor Immobility,Sectoral Comovement,and News Shocks

Sectoral comovement of output and hours worked is a prominent feature of business cycle data. However, most two‐sector neoclassical models fail to generate this sectoral comovement. We construct and estimate a two‐sector neoclassical Dynamic Stochastic General Equilibrium (DGSE) model generating sectoral comovement in response to both anticipated and unanticipated shocks. The key to our model's success is a significant degree of intersectoral labor immobility, which we estimate using data on sectoral hours worked. Furthermore, we demonstrate that imperfect intersectoral labor mobility provides a better explanation for the sectoral comovement than an alternative model emphasizing the role of labor‐supply wealth effects.     

Sticky Price Models,Durable Goods,and Real Wage Rigidities

The standard two‐sector New Keynesian model with durable goods is at odds with conventional wisdom and vector autoregression (VAR) evidence: Following a monetary shock, the model generates (i) either negative or no comovement across sectoral outputs and (ii) aggregate neutrality of money when durable goods' prices are flexible. We reconcile theory with evidence by incorporating real wage rigidities into the standard model: As long as durable goods' prices are more flexible than nondurable goods' prices, we obtain positive sectoral comovement and, thus, aggregate nonneutrality of money.     

Durable Goods,Investment Shocks,and the Comovement Problem

Sticky‐price models suggest that capital investment shocks are an important driver of business cycle fluctuations. Despite quantitative importance in explaining business cycles, a comovement problem emerges because the shocks generate intertemporal substitution effects away from consumption toward investment. This paper resolves the problem by extending the standard sticky‐price model to a two‐sector model with consumer durable services. When durable goods are used as investment in capital and consumer durables, positive capital investment shocks also generate intratemporal substitution effects away from consumer durable services toward nondurable consumption that dominates intertemporal effects. Consequently, consumption increases, and the comovement problem is resolved.     

A Tale of Two Rigidities: Sticky Prices in a Sticky‐Information Environment

Macroeconomic models with microeconomic foundations allow for comparisons with macro and micro empirical evidence. This paper proposes a model wherein firms: (i) acquire information infrequently, generating sticky information ( Mankiw and Reis 2002 ) and (ii) face menu costs, producing state‐dependent sticky prices. I estimate parameters via indirect inference and show that under considerable real rigidity, sticky prices in a sticky‐information environment are consistent with micro and macro evidence. Sticky prices not only help match micro data on price changes’ size and durations between adjustments; they also improve the model's fit with the macro data, as embodied in an empirical Phillips curve.     

Intermediate inputs and sectoral comovement in the business cycle

The post-war US business cycle is characterized by positive comovement of employment and output across sectors. It has been argued that multi-sector growth models are inconsistent with this observation when changes in relative productivities are the main source of fluctuations. We suggest that the input-output structure of an economy, in particular the pervasive use of intermediate inputs, can induce positive comovement in sectoral employment and output following changes in relative productivities. We calibrate a model of the US economy for the durable and nondurable goods producing sectors, and show that sectoral employment and output move together if intermediate inputs are used in production. The model is also consistent with the observation that the relative price of nondurable goods is procyclical.     

The Role of Durables Replacement and Second‐Hand Markets in a Business‐Cycle Model

Transactions of used durables are large and cyclical, but their interaction with purchases of new durables has been neglected in business‐cycle studies. I fill this gap by introducing a new business‐cycle model of consumer durables where households resell their goods on the second‐hand market and the production of new durables is affected by the supply of used goods. The model delivers three conclusions: Markups are smaller for goods that are more durable and more frequently replaced; markups are countercyclical for durables, resolving the comovement puzzle of Barsky, House, and Kimball (2007); and procyclical replacement demand amplifies durables spending.     

Sectoral price data and models of price setting

In the median sector, 100 percent of the long-run response of the sectoral price index to a sector-specific shock occurs in the month of the shock. The standard Calvo model and the standard sticky-information model can match this finding only under extreme assumptions concerning the profit-maximizing price. The rational-inattention model of Ma?kowiak and Wiederholt [2009a. Optimal sticky prices under rational inattention. American Economic Review 99, 769–803] can match this finding without an extreme assumption concerning the profit-maximizing price. Furthermore, there is little variation across sectors in the speed of response of sectoral price indexes to sector-specific shocks. The rational-inattention model matches this finding, while the Calvo model predicts too much cross-sectional variation.     

Optimal fiscal and monetary policy with sticky prices

In this paper I consider the role of state-contingent inflation as a fiscal shock absorber in an economy with nominal rigidities. I study the Ramsey equilibrium in a monetary model with distortionary taxation, nominal non-state-contingent debt, and sticky prices. With sticky prices, the Ramsey planner must balance the shock absorbing benefits of state-contingent inflation against the associated resource misallocation costs. For government spending processes resembling post-war experience, introducing sticky prices generates striking departures in optimal policy from the case with flexible prices. For even small degrees of price rigidity, optimal policy displays very little volatility in inflation. Tax rates display greater volatility compared to the model with flexible prices. With sticky prices, tax rates and real government debt exhibit behavior similar to a random walk. For government spending processes resembling periods of intermittent war and peace, optimal policy displays extreme inflation volatility even when the degree of price rigidity is large. As the variability in government spending increases, smoothing tax distortions across states of nature becomes increasingly important, and the shock absorber role of inflation is accentuated.     

How Sticky Is Sticky Enough? A Distributional and Impulse Response Analysis of New Keynesian DSGE Models

In this paper, we add to the literature on the assessment of how well data simulated from new-Keynesian dynamic stochastic general equilibrium (DSGE) models reproduce the dynamic features of historical data. In particular, we evaluate sticky price, sticky price with dynamic indexation, and sticky information models using impulse response and correlation measures and via implementation of a distribution based approach for comparing (possibly) misspecified DSGE models using simulated and historical inflation and output gap data. One of our main findings is that for a standard level of stickiness (i.e., annual price or information adjustment), the sticky price model with indexation dominates other models. We also find that when a lower level of information and price stickiness is used (i.e., bi-annual adjustment), there is much less to choose between the models (see Bils and Klenow 2004 , for evidence in favor of lower levels of stickiness). This finding is due to the fact that simulated and historical densities are "much" closer under bi-annual adjustment.     

Endogenous Price Stickiness,Trend Inflation,and Macroeconomic Stability

Previous studies show that higher trend inflation is more likely to induce indeterminacy of equilibrium in sticky‐price models based on micro evidence that each period a fraction of prices is kept unchanged. This paper demonstrates that when the degree of price stickiness is endogenously determined in a Calvo model, indeterminacy caused by higher trend inflation is less likely. A key factor for determinacy is the long‐run inflation elasticity of output implied by the New Keynesian Phillips curve. This elasticity declines substantially with higher trend inflation in the case of exogenously given price stickiness, whereas in the case of endogenous price stickiness the decline in the elasticity is mitigated because higher trend inflation leads to a higher probability of price adjustment.     

Durables, nondurables, down payments and consumption excesses

We examine a model that generalizes the standard buffer-stock model of saving to accommodate durables, nondurables, down payment requirements, and adjustment costs in the durables market. We find that nondurable consumption becomes more volatile relative to income as down payments decrease at the individual and at the aggregate level. Moreover, for plausible parameter values, the model can explain the excess smoothness and excess sensitivity observed in U.S. aggregate data. The result follows from a gradual adjustment of consumption to permanent income shocks when agents attempt to spread out the burden of down payments over time, compounded by slow adjustment due to transaction costs.     

Liquidity effects on price and return co-movements in commodity futures markets

Commodity price comovement is an important research area in finance, and previous studies have investigated the determinants of price comovement using low-frequency (monthly or quarterly) macroeconomic data. In comparison, our paper attempts to scrutinize the liquidity effect on commodity prices and return movements based on daily data. Our findings contribute to the literature in three ways. First, we find significant positively correlated price movements across different commodity markets on a daily basis, and such comovement is driven by the cross-sectional liquidity spillover effect. Second, we observe that a cointegration relationship between individual commodity prices and the global price index can be established only if the liquidity effect is controlled. Finally, instantaneous daily liquidity shocks (i.e., innovation) exert a negative impact on daily commodity returns. However, liquidity shocks do not have a significant impact on monthly returns. Our findings are robust and have significant implications for macroeconomic policymaking, such as managing inflation risk.     

Mixed Integer Programming Revealed Preference Tests of Utility Maximization and Weak Separability of Consumption,Leisure, and Money

Swofford and Whitney (1987, 1988, 1994) investigated the validity of two key assumptions underlying representative agent models of macroeconomics. These assumptions are utility maximization and weak separability. Using mixed integer programming, we check revealed preference conditions for these assumptions. We find that M1, money defined by Friedman and Schwartz (1963), and a broad aggregate are weakly separable. We find that consumption goods and leisure and nondurables and services are weakly separable. We find that M2, M3, and MZM are not weakly separable. Finally, we find three categories of consumption, durables, nondurables and services, do not form an aggregate.     

Monetary Policy in a Forward-Looking Input–Output Economy

This paper examines the implications for monetary policy of sticky prices in both final and intermediate goods in a New Keynesian model. Both optimal policy under commitment and discretionary policy under simple loss functions are studied. Household utility losses under alternative loss functions are compared; additionally, the robustness of policy performance to model and shock misperceptions and parameter uncertainty is examined. Targeting inflation in both consumer and intermediate goods performs better than targeting inflation in one sector; targeting price levels of both final and intermediate goods performs significantly better. Moreover, targeting price levels in both sectors yields superior robustness properties.     

Demand and productivity components of business cycles: Estimates and implications

Standard stochastic growth models provide theoretical restrictions on output decomposition which can be used to investigate whether productivity shocks played a major role in observed business cycles. Applying these restrictions to US data leads to the following findings: (i) Business cycles implied by productivity shocks are mildly correlated to overall fluctuations and help account for a few episodes of US postwar recessions. However, only 20% of US fluctuations can be explained by these shocks. (ii) Most fluctuations seem instead to be due to “nominal demand” shocks, i.e. shocks which move output and prices in the same direction, but whose effects on output are ultimately transitory. (iii) Canonical sticky price models in the new-neoclassical synthesis tradition can account for the cyclical comovements of output and prices, but canonical, frictionless, RBC models cannot.     

The Response of Equity Prices to Movements in Long‐Term Interest Rates Associated with Monetary Policy Statements: Before and After the Zero Lower Bound

Monetary policy actions since 2008 have influenced long‐term interest rates through forward guidance and quantitative easing. I propose a strategy to identify the comovement between interest rate and equity price movements induced by monetary policy when an observable representing policy changes is not available. A decline in long‐term interest rates induced by monetary policy statements has a larger positive effect on equity prices prior to 2009 than in the subsequent period. This change appears to reflect the impact of the zero lower bound on short‐term interest rates.     

In search of the liquidity effect in a modern monetary model

This paper examines the impact of a monetary policy shock in a dynamic stochastic general equilibrium model with sticky prices and financial market frictions. First, we examine the shortcomings of monetary models emphasizing these frictions individually. The model then is specified to limit the response of prices and savings to a current period monetary disturbance. Our results show that this model can account for the following key responses to an expansionary monetary policy shock: a fall in the nominal interest rate; a rise in output, consumption, and investment; and a gradual increase in the price level. Finally, a detailed sensitivity analysis shows the model's results depend on the parameters assigned to critical structural features.     

On the Intertemporal Elasticity of Substitution under Nonhomothetic Utility

In this note, we use a model with nonseparable and nonhomothetic preferences to estimate the intertemporal elasticity of substitution (IES). We show that, while the homothetic utility model may induce a bias that increases the elasticity of substitution between nondurables and durables, the estimated IES remains positive and significant.     

Aggregate Implications of Heterogeneous Households in a Sticky‐Price Model

This paper analyzes the role of heterogeneous households in propagating shocks over the business cycle by generalizing a basic sticky‐price model to allow for imperfect risk sharing between households that differ in labor incomes. I show that imperfectly insured household consumption distorts household incentive to supply labor hours through an idiosyncratic income effect, which in turn generates strategic complementarities in price setting and thus amplifies business cycle fluctuations. This mechanism diminishes the role of nominal rigidities and makes sticky‐price models more consistent with microeconomic evidence on the frequency of price changes.