We examine the linear-quadratic (LQ) approximation of non-linear stochastic dynamic optimization problems in macroeconomics, in particular for monetary policy. We make four main contributions: first, we draw attention to a general Hamiltonian framework for LQ approximation due to Magill (1977)....

Recent interest in ‘Risk Management’ has highlighted the relevance of Bayesian analysis for robust monetary- policy making. This paper sets out a comprehensive methodology for designing policy rules inspired by such considerations. We design rules that are robust with respect to model...

This paper compares two contrasting approaches to robust monetary policy design. The first developed by Hansen and Sargent (2003, 2007) assumes unstructured model uncertainty and uses a minimax robustness criterion to design monetary rules. This contrasts with an older literature that structures...

This paper extends the existing literature on the uniqueness and stability conditions for an equilibrium under inflation-forecast-based (IFB) rules. It shows that, for a variety of New Keynesian sticky-price and sticky-inflation models, these are a function not just of the degree of...

A less well-known empirical finding for the US and UK is a pronounced low frequency negative relationship between inflation and Tobin's q; a normalized market price of capital. This stylized fact is explained within a dynamic stochastic general equilibrium model using three key features: (i) a...

We review the main New Keynesian inflation equations that have arisen as a result of aggregation from individual firms' price rigidities. We find that, on the whole, they cannot account for inflation persistence, a key feature of the empirical dynamics of inflation, and with important policy...

A pervasive empirical finding for the US economy is that inflation is negatively correlated with the normalized market price of capital (Tobin's q) and growth. A dynamic stochastic general equilibrium model of endogenous growth is developed to explain these stylized facts. In this model, human...

We examine the performance of forward-looking inflation-forecast-based rules in open economies. In a New Keynesian two-bloc model, a methodology first employed by Batini and Pearlman (2002) is used to obtain analytically the feedback parameters/horizon pairs associated with unique and stable...

We examine an interesting puzzle in monetary economics between what monetary authorities claim (namely to be forward-looking and pre-emptive) and the poor stabilization properties routinely reported for forecast-based rules. Our resolution is that central banks should be viewed as following...

The objectives of this paper are: first, to quantify the stabilization welfare gains from commitment; second, to examine how commitment to an optimal rule can be sustained as an equilibrium and third, to find a simple interest rate rule that closely approximates the optimal commitment one. We...