Aggregate Hazard Function in Price-Setting: A Bayesian Analysis Using Macro Data

This paper presents an approach to identify aggregate price reset hazards from the joint dynamic behavior of inflation and macroeconomic aggregates. The identification is possible due to the fact that inflation is composed of current and past reset prices and that the composition depends on the price reset hazard function. The derivation of the generalized NKPC links those compostion effects to the hazard function, so that only aggregate data is needed to extract information about the price reset hazard function. The empirical hazard function is generally increasing with the age of prices, but with spikes at the 1st and 4th quarters. The implication of this finding for sticky price modeling is that the pricing decision is characterized by both time- and state-dependent aspects.Sticky prices, Aggregate hazard function, Bayesian estimation

Monetary Policy, Trend Inflation and Inflation Persistence

This paper presents a new mechanism through which monetary policy rules affect inflation persistence. When assuming that price reset hazard functions are not constant, backward- looking dynamics emerge in the NKPC. This new mechanism makes the traditional demand channel of monetary transmission have a long-lasting effect on inflation dynamics. The Calvo model fails to convey this insight, because its constant hazard function leads those important backward-looking dynamics to be canceled out. I first analytically show how it works in a simple setup, and then solve a log-linearized model numerically around positive trend inflation. With realistic calibration of trend inflation and the monetary policy rule, the model can account for the pattern of changes in inflation persistence observed in the post-wwii U.S. data. In addition, with increasing hazard functions, the "Taylor principle" is sufficient to guarantee the determinate equilibrium even under extremely high trend inflation.Intrinsic inflation persistence, Hazard function, Trend inflation, Monetary policy, New Keynesian Phillips curve

Time-dependent pricing and New Keynesian Phillips curve

This paper explores what can be lost when assuming price adjustment is a time - independent (memoryless) process.I derive a generalized NKPC in an optinizing model with the non- constant hazard function and trend inflation. Memory emerges in the resulting Phillips curve through the presence of lagged inflation and lagged expectations. It nests the Calvo NKPC as a limitting case in the sense that the effect of both terms are canceled out by one another under the constant-hazard assumption. Furthermore, I find lagged inflation always has negative coefficients, thereby making it impossible to interpret inflation persistence as intrinsic to the model. The numerical evaluation shows that introducing trend inflation strengthens the effects of the increasing hazard function on the inflation dynamics . The model can jointly account for persistent dynamics of inflation and output, hump-shaped impulse responses of inflation to monetary shocks, and the fact that high trend inflation leads to more persistence in inflation but not for real variables. --Intrinsic inflation persistance,Hazard function,New Keynesian Phillips Curve

Can the New Keynesian Phillips Curve Explain Inflation Gap Persistence?

Whelan (2007) found that the generalized Calvo-sticky-price model fails to replicate a typical feature of the empirical reduced-form Phillips curve - the positive dependence of inflation on its own lags. In this paper, I show that it is the 4-period-Taylor-contract hazard function he chose that gives rise to this result. In contrast, an empirically-based aggregate price reset hazard function can generate simulated data that are consistent with inflation gap persistence found in US CPI data. I conclude that a non-constant price reset hazard plays a crucial role for generating realistic inflation dynamics.Inflation gap persistence, Trend inflation, New Keynesian Phillips curve, Hazard function

The Cost of Tractability and the Calvo Pricing Assumption

This paper demonstrates that tractability gained from the Calvo pricing assumption is costly in terms of aggregate dynamics. I derive a generalized New Keynesian Phillips curve featuring a generalized hazard function, non-zero steady state inflation and real rigidity. An- alytically, I find that important dynamics in the NKPC are canceled out due to the restrictive Calvo assumption. I also present a general result, showing that, under certain conditions, this generalized Calvo pricing model generates the same aggregate dynamics as the gen- eralized Taylor model with heterogeneous price durations. The richer dynamic structure introduced by the non-constant hazards is also quantitatively important to the inflation dy- namics. Incorporation of real rigidity and trend inflation strengthen this effect even further. With reasonable parameter values, the model accounts for hump-shaped impulse responses of inflation to the monetary shock, and the real effects of monetary shocks are 2-3 times higher than those in the Calvo model.Hazard function, Nominal rigidity, Real rigidity, New Keynesian Phillips curve

Lumpy Labor Adjustment as a Propagation Mechanism of Business Cycles

This paper aims to study the quantitative significance of lumpy labor adjustment as a propagation mechanism for business cycles. In the baseline model, I introduce lumpy job turnover in the spirit of Taylor (1980) and Calvo (1983) in a DSGE framework and find that it performs as same as the quadratic-adjustment-cost model at the aggregate level, but different at firm’s level. In particular, It can capture lumpy labor adjustment at plant’s level through the ’front-loading effect’. Then I implement the Weibull distribution in the same framework to incorporate the increasing hazards of the labor adjustment process, which is supported by the evidence from micro data. This extension represents a substantial improvement over benchmark models. It can replicate high volatility of employment, low volatile labor productivity and persistent dynamics in output. Based on these results, I conclude that intratemporal substitution between the two production factors and the aggregation mechanism play an important role in the propagation mechanism.Business cycles, Lumpy labor adjustment, Weibull distribution, Increasing hazard function

Lumpy Labor Adjustment as a Propagation Mechanism of Business Cycles

I explore the aggregate effects of micro lumpy labor adjustment in a prototypical RBC model, which embeds a stochastic labor duration mechanism in the spirit of Calvo(1983), and it extends this approach by introducing a Weibull-distributed labor adjustment process to capture the increasing hazard function corroborated by the micro data. My principal findings are: The aggregate labor demand equation derived from the baseline Calvostyle model corresponds to the same reduced form as the quadratic-adjustment-cost model and deep parameters have a one-to-one mapping. However, this result does not hold in general. When introducing the Weibull labor adjustment, the aggregate dynamics vary with the extent of increasing hazard function, e.g., the volatility of aggregate labor is increasing, but the persistence is decreasing in degree of the increasing hazard of the labor adjustment.business cycles; heterogeneous labor rigidity; increasing hazard function; Weibull distribution

Real and Nominal Rigidities in Price Setting: A Bayesian Analysis Using Aggregate Data

This paper uses the Bayesian approach to solve and estimate a New Keynesian model augmented by a generalized Phillips curve, in which the shape of the price reset hazards can be identi…ed using aggregate data. My empirical result shows that a constant hazard function is easily rejected by the data. The empirical hazard function for post-1983 periods in the U.S. is consistent with micro evidence obtained using data from similar periods. The hazard for pre-1983 periods, however, exhibits a remarkable increasing pattern, implying that pricing decisions are characterized by both time- and state-dependent aspects. Additionally, real rigidity plays an important role, but not as big a role as found in empirical studies using limited information methods.Real rigidity, Nominal rigidity, Hazard function, Bayesian estimation

Non-constant Hazard Function and Inflation Dynamics

This paper explores implications of nominal rigidity characterized by a non-constant hazard function for aggregate dynamics. I derive the NKPC under an arbitrary hazard function and parameterize it with the Weibull duration model. The resulting Phillips curve involves lagged inflation and lagged expectations. It nests the Calvo NKPC as a limiting case in the sense that the effects of both terms are canceled out under the constant-hazard assumption. Furthermore, I find lagged inflation always has negative coefficients, thereby making it impossible to interpret inflation persistence as intrinsic. The numerical evaluation shows that the increasing hazard function leads to hump-shaped impulse responses of ination to monetary shocks, and output leads inflation.Hazard function, Weibull distribution, New Keynesian Phillips Curve