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AbstractThis paper examines the usefulness of shadow rates to measure the monetary policy stance by comparing them to the official policy rates and those implied by three types of Taylor rules in both inflation‐targeting countries (the UK, Canada, Australia and New Zealand) and others that have only targeted inflation at times (the United States, Japan, the Euro Area and Switzerland) over the period from the early 1990s to December 2021. Shadow rates estimated from a dynamic factor model are shown to suggest a much looser policy stance than either the official policy rates or those implied by the Taylor rules, and generally to provide a more accurate picture of the monetary policy stance during both ZLB and non‐ZLB periods, since they reflect the full range of unconventional policy measures used by central banks. Furthermore, generalised impulse response analysis based on three alternative vector autoregression (VAR) models indicates that monetary shocks based on the shadow rates are more informative than those related to the official policy rates or to two‐ and three‐factor shadow rates, especially during the Global Financial Crisis and the recent COVID‐19 pandemic, when unconventional measures have been adopted. Finally, unconventional policy shocks seem to have less persistent effects on the economy in countries, which have adopted an inflation‐targeting regime.

Abstract
A uniform carbon tax and Citizen Carbon Fund are proposed as a zero-sum system of transfers that can increase equilibrium participation and result in a positive carbon check for each citizen covered by the agreement. The carbon tax results in efficient abatement, generates tax revenue and finances transfers that increase equilibrium participation in a climate agreement. A single carbon price is easier to negotiate than many different abatement requirements, but mirrors the results of a cap-and-trade agreement. An example using the four largest carbon emitters illustrates the set of stable agreements, the transfers required for stability and the resulting carbon checks.