We develop a simple and intuitive approach for analytically deriving unconditionally optimal (UO) policies, a topic of enduring interest in optimal monetary policy analysis. The approach can be employed to both general linear-quadratic problems and to the underlying non-linear environments. We...

The timelessly optimal monetary policy proposed by Woodford (2003) may be dominated by alternative timeless policies. We provide a formal justification for these alternative policies. We demonstrate why discount rates do not matter and establish that optimizing over the unconditional expectation...

A stylized macroeconomic model is developed with an indebted, heterogeneous Investment Banking Sector funded by borrowing from a retail banking sector. The government guarantees retail deposits. Investment banks choose how risky their activities should be. We compared the benefits of separated...

The unconditional expectation of social welfare is often used to assess alternative macroeconomic policy rules in applied quantitative research. This paper provides a detailed analysis of such policies. It sets out the unconditionally optimal (UO) policy problem and derives an LQ version of that...

Less is known about social welfare objectives when it is costly to change prices, as in Rotemberg (1982), compared with Calvo-type models. We derive a quadratic approximate welfare function around a distorted steady state for the costly price adjustment model. We highlight the similarities and...

We discuss the issue of time consistency of monetary policy. We develop a simple and intuitive procedure to derive analytically the unconditionally optimal (UO) policy in a general linear-quadratic set-up, a perspective stressed by Taylor (1979) and Whiteman (1986). We compare the UO perspective...

What is the seigniorage-maximizing level of inflation? Four models formulae for the seigniorage maximizing inflation rate (SMIR) are compared. Two sticky-price models arrive at very different quantitative recommendations although both predict somewhat lower SMIRs than Cagan’s formula and...

This paper establishes that one can generally obtain a purely quadratic approximation to the unconditional expectation of social welfare when the steady-state is distorted. A specific example is provided employing a canonical New Keynesian model. Unlike in the non-distorted steady state case,...

Many sticky-price models suggest that relative price distortion is one of the major costs of inflation. We show that this resource misallocation is costly even at quite low rates of inflation. This is because inflation strongly affects price dispersion which in turn has an impact on the economy...

In this paper, we consider a model where producers set their prices based on their prediction of the aggregated price level and an exogenous variable, which can be a demand or a cost-push shock. To form their expectations, they use OLS-type econometric learning with bounded memory. We show that...