The Inflation Bias under Calvo and Rotemberg Pricing.

New Keynesian models rely heavily on two workhorse models of nominal inertia - price contracts of random duration (Calvo, 1983) and price adjustment costs (Rotemberg, 1982) - to generate a meaningful role for monetary policy. These alternative descriptions of price stickiness are often used interchangeably since, to a first order of approximation they imply an isomorphic Phillips curve and, if the steady-state is efficient, identical objectives for the policy maker and as a result in an LQ framework, the same policy conclusions. In this paper we compute time-consistent optimal monetary policy in bench-mark New Keynesian models containing each form of price stickiness. Using global solution techniques we find that the inflation bias problem under Calvo contracts is significantly greater than under Rotemberg pricing, despite the fact that the former typically significant exhibits far greater welfare costs of inflation. The rates of inflation observed under this policy are non-trivial and suggest that the model can comfortably generate the rates of inflation at which the problematic issues highlighted in the trend inflation literature emerge, as well as the movements in trend inflation emphasized in empirical studies of the evolution of inflation. Finally, we consider the response to cost push shocks across both models and find these can also be significantly different. The choice of which form of nominal inertia to adopt is not innocuous.

A General and Intuitive Envelope Theorem

We present an envelope theorem for establishing first-order conditions in decision problems involving continuous and discrete choices. Our theorem accommodates general dynamic programming problems, even with unbounded marginal utilities. And, unlike classical envelope theorems that focus only on differentiating value functions, we accommodate other endogenous functions such as default probabilities and interest rates. Our main technical ingredient is how we establish the differentiability of a function at a point: we sandwich the function between two differentiable functions from above and below. Our theory is widely applicable. In unsecured credit models, neither interest rates nor continuation values are globally differentiable. Nevertheless, we establish an Euler equation involving marginal prices and values. In adjustment cost models, we show that first-order conditions apply universally, even if optimal policies are not (S,s). Finally, we incorporate indivisible choices into a classic dynamic insurance analysis.

Who Ultimately Bears the Burden of Greater Non-Wage Labour costs?

We investigate the effect of a rise in non-wage labour costs (NWLC) on real anufacturing labour costs in OECD countries, taking into account the degree of coordination in the wage bargaining process. We find that, in countries in which wage bargaining is not highly coordinated, 55% of an increase in NWLC appears to be shifted to workers in the long run, whereas in countries operating under a highly coordinated bargaining regime, full shifting occurs. Overall, our results suggest that high NWLC can be associated with a high equilibrium unemployment rate, but only in those OECD countries that do not have highly coordinated wage bargaining.

Discretionary Policy in a Monetary Union with Sovereign Debt

This paper examines the interactions between multiple national fiscal policy- makers and a single monetary policy maker in response to shocks to government debt in some or all of the countries of a monetary union. We assume that national governments respond to excess debt in an optimal manner, but that they do not have access to a commitment technology. This implies that national fi scal policy gradually reduces debt: the lack of a commitment technology precludes a random walk in steady state debt, but the need to maintain national competitiveness avoids excessively rapid debt reduction. If the central bank can commit, it adjusts its policies only slightly in response to higher debt, allowing national fiscal policy to undertake most of the adjustment. However if it cannot commit, then optimal monetary policy involves using interest rates to rapidly reduce debt, with signifi cant welfare costs. We show that in these circumstances the central bank would do better to ignore national fiscal policies in formulating its policy.

Transaction Costs and Institutions

This paper proposes a simple framework for understanding endogenous transaction costs - their composition, size and implications. In a model of diversification against risk, we distinguish between investments in institutions that facilitate exchange and the costs of conducting exchange itself. Institutional quality and market size are determined by the decisions of risk averse agents and conditions are discussed under which the efficient allocation may be decentralized. We highlight a number of differences with models where transaction costs are exogenous, including the implications for taxation and measurement issues.

Trade Costs, International Competition and Selection: The Effects of Unionisation on Market Size

Within a two-country model of international trade in which heterogeneous firms face firm-specific unions, we study the effects of different forms of trade liberalisation on market structure and competitive selection in the presence of inter-country asymmetries in size and labour market institutions. For given levels of trade openness, an increase in a country’s relative unions’ strength reduces the average productivity of its domestic producers but increases that of its exporters. Whilst an unfavourable union power differential, by increasing wages, weakens a country’s firms’ competitive position, the higher wages reinforce standard market access mechanisms to give rise to aggregate income effects. When the initial levels of trade openness are sufficiently low, this ‘expansionary’ aggregate effect can attract industry in the country with stronger unions and also result in an increase in the extensive margin of exports. For sufficiently large inter-country differences in the bargaining power of unions, trade liberalization can then result in a pro-variety effect, with an increase in the total availability of varieties to consumers in both countries, regardless of there being inter-country differences in size.

FDI, Trade Costs and Regional Asymmetries

We set up a trade model where three countries compete for an exogenous number of firms. Our innovation lies in the geography of the model. Of the three countries, one is the hub through which all trade takes place. First, we establish the natural geography of the region, which is given by the equilibrium distribution of industrial activity in the absence of taxes or subsidies. We then examine the implications for corporate taxes when the countries compete with each other to attract firms. We find that, even when all countries are the same size, the centrality of the hub gives it an advantage in tax setting, such that its equilibrium tax can be larger than that of the spokes and yet it still attracts a disproportionate share of industry. Thus geographic advantage in tax competition has a second dimension, centrality in addition to size.

Transaction Costs and Institutions: Investments in Exchange

This paper proposes a simple model for understanding transaction costs for their composition, size and policy implications. We distinguish between investments in institutions that facilitate exchange and the cost of conducting exchange itself. Institutional quality and market size are determined by the decisions of risk averse agents and conditions are discussed under which the efficient allocation may be decentralized. We highlight a number of differences with models where transaction costs are exogenous, including the implications for taxation and measurement issues.