“…Perturbation methods are commonly used in the literature on new Keynesian models, and they are generally viewed as acceptable methods. Moreover, linear perturbation methods are currently used by all central banks for solving their large-scale new Keynesian macroeconomic models for forming monetary policy and projections, for example, the International Monetary Fund's Global Economy Model, GEM (Bayoumi, Laxton, and Pesenti (2001)), the U.S. Federal Reserve Board's SIGMA model (Erceg, Guerrieri, and Gust (2006)), the Bank of Canada Terms of Trade Economic Model, ToTEM (Dorich, Johnston, Mendes, Murchison, and Zhang (2013)), the European Central Bank's New Area-Wide Model, NAWM (Coenen, McAdam, and Straub (2008)), the Bank of England COMPASS model (Burgess, Fernandez-Corugedo, Groth, Harrison, Monti, Theodoridis, and Waldron (2013)), and the Swedish Riksbank's Ramses II model (Adolfson, Laséen, Christiano, Trabandt, and Walentin (2013)). The accuracy of perturbation solutions is not assessed in these applications.…”