Lutz Weinke

New perspectives on capital, sticky prices, and the Taylor principle

Abstract Our main result is that dynamic new-Keynesian (DNK) models with firm-specific capital feature a substantial amount of endogenous price stickiness. We use this insight to assess the desirability of alternative interest rate rules, and make the case for combining active monetary policy with interest rate smoothing and/or some responsiveness of the nominal interest rate to real economic activity. The key mechanism behind our results is also useful from a positive point of view: the feature of firm-specific capital increases the empirical appealingness of DNK models, as documented by a growing body of literature.

Firm-specific capital, nominal rigidities, and the Taylor principle

In the presence of firm-specific capital the Taylor principle can generate multiple equilibria. Sveen and Weinke (2005b) obtain that result in the context of a Calvo-tyle sticky price model. One potential criticism is that the price stickiness which is needed for our theoretical result to be relevant from a practical point of view is somewhat to the high part of available empirical estimates. In the present paper we show that if nominal wages are not fully flexible (which is an uncontroversial empirical fact) then the Taylor principle fails already for some minor degree of price stickiness. We use our model to explain the consequences of both nominal rigidities for the desirability of alternative interest rate rules.

Pitfalls in the modeling of forward-looking price setting and investment decisions

The present paper makes progress in explaining the role of capital for inflation and output dynamics. We followWoodford (2003, Ch. 5) in assuming Calvo pricing combined with a convex capital adjustment cost at the firm level. Our main result is that capital accumulation affects inflation dynamics primarily through its impact on the marginal cost. This mechanism is much simpler than the one implied by the analysis in Woodfords text. The reason is that his analysis suffers from a conceptual mistake, as we show. The latter obscures the economic mechanism through which capital affects inflation and output dynamics in the Calvo model, as discussed in Woodford (2004).

Inflation and Output Dynamics with Firm-owned Capital

We model firm-owned capital in a stochastic dynamic New-Keynesian general equilibrium model a la Calvo. We find that this structure implies equilibrium dynamics which are quantitatively di¤erent from the ones associated with a benchmark case where households accumulate capital and rent it to firms. Our findings therefore stress the importance of modeling an investment decision at the firm level–in addition to a meaningful price setting decision. Along the way we argue that the problem of modeling firm-owned capital with Calvo price-setting has not been solved in a correct way in the previous literature.

Firm-Specific Investment, Sticky Prices, and the Taylor Principle

According to the Taylor principle a central bank should adjust the nominal interest rate by more than one-for-one in response to changes in current inflation. Most of the existing literature supports the view that by following this simple recommendation a central bank can avoid being a source of unnecessary fluctuations in economic activity. The present paper shows that this conclusion is not robust with respect to the modelling of capital accumulation. We use our insights to discuss the desirability of alternative interest rate rules. Our results suggest a reinterpretation of monetary policy under Volcker and Greenspan: The empirically plausible characterization of monetary policy can explain the stabilization of macroeconomic outcomes observed in the early eighties for the US economy. The Taylor principle in itself cannot.

The Taylor Principle in a Medium-Scale Macroeconomic Model

The Taylor Principle is often used to explain macroeconomic stability (see, e.g., Clarida et al. 2000). The reason is that this simple principle guarantees determinacy, i.e., local uniqueness of rational expectations equilibrium, in many New Keynesian models. However, analyses of determinacy are generally conducted in the context of highly stylized models. In the present paper we use a medium-scale model which combines features that have been shown to explain fairly well postwar U.S. business cycles. Our main result demonstrates that the stability properties of forward-looking interest rate rules are very similar to the corresponding outcomes under current-looking rules. This is in stark contrast with many findings that have been obtained in the context of models whose empirical relevance is limited.