Institute for Monetary and Financial Stability (IMFS)
Refine
Year of publication
Document Type
- Working Paper (216)
- Part of Periodical (15)
- Article (8)
- Report (8)
- Book (2)
- Doctoral Thesis (1)
- Periodical (1)
Is part of the Bibliography
- no (251)
Keywords
- monetary policy (14)
- DSGE (8)
- Geldpolitik (7)
- Bayesian estimation (6)
- Federal Reserve (6)
- Monetary Policy (6)
- Numerical accuracy (6)
- Solution methods (6)
- DSGE models (5)
- Deutschland (5)
- banking union (5)
- model uncertainty (5)
- Bank (4)
- ECB (4)
- Monetary policy (4)
- central bank independence (4)
- crises (4)
- household finance (4)
- model comparison (4)
- policy rules (4)
- quantitative easing (4)
- Aktienkurs (3)
- DSGE model (3)
- EZB (3)
- European Central Bank (ECB) (3)
- Fiscal Policy (3)
- Hamiltonian Monte Carlo (3)
- Inflation (3)
- Machine Learning (3)
- Neural Networks (3)
- Optimal policy (3)
- Risikokapital (3)
- Transition risk (3)
- Zero Lower Bound (3)
- banknotes (3)
- business cycles (3)
- discretion (3)
- entry (3)
- forecasting (3)
- interest rates (3)
- money (3)
- prudential supervision (3)
- real-time data (3)
- sovereign debt (3)
- zero lower bound (3)
- Agency-Theorie (2)
- Bankenaufsicht (2)
- Bayesian Analysis (2)
- Bayesian Estimation (2)
- Business Cycles (2)
- Cash (2)
- Climate change (2)
- DSGE Estimation (2)
- Deutsche Bundesbank (2)
- Discretion (2)
- Environmental policy (2)
- European Banking Authority (EBA) (2)
- European Central Bank (2)
- Europäische Union (2)
- Europäische Zentralbank (2)
- FOMC (2)
- Finanzverfassung (2)
- Fiskalpolitik (2)
- Heterogeneous Agents (2)
- Hongkong (2)
- Japan (2)
- Kreditgewährung (2)
- Kreditmarkt (2)
- Kreditwürdigkeitsprüfung (2)
- Leistungsbilanz (2)
- New Keynesian model (2)
- Quantitative Easing (2)
- Recht (2)
- Sachbearbeiter (2)
- Sign Restrictions (2)
- Single Supervisory Mechanism (SSM) (2)
- Transfer Learning (2)
- Verbraucherschutz (2)
- Zentralbanken (2)
- Zero lower bound (2)
- Zero nominal interest rate bound (2)
- bail-in (2)
- beliefs (2)
- branches (2)
- business cycle (2)
- competition (2)
- consolidating supervision (2)
- consumption (2)
- cross-border banking (2)
- current account fluctuations (2)
- euro area (2)
- expectation formation (2)
- financial crisis (2)
- financial literacy (2)
- fiscal policy (2)
- forward guidance (2)
- frequency domain (2)
- inflation (2)
- markups (2)
- micro-prudential supervision (2)
- monetary policy strategy (2)
- policy evaluation (2)
- policy robustness (2)
- political economy of bureaucracy (2)
- refugees (2)
- regulatory capture (2)
- social interactions (2)
- stabilization (2)
- subsidiaries (2)
- survey (2)
- time-varying risk premia (2)
- unemployment (2)
- wealth inequality (2)
- Öffentliche Schulden (2)
- ARMA (1)
- Allfinanzkonzern (1)
- Altersversorgung (1)
- Argentinien (1)
- Artificial Intelligence (1)
- Artificial Intelligence; (1)
- Aufsicht (1)
- Backward error (1)
- Bank lending standards (1)
- Bank of Japan (1)
- Bankenaufsichtsrecht (1)
- Bankenkrise (1)
- Bankkredit (1)
- Basel regulation (1)
- Bayes-Lernen (1)
- Bayesian VAR (1)
- Bayesian analysis (1)
- Bayesian inference (1)
- Bayesian learning (1)
- Bayesian time-varying parameter estimation (1)
- Behandlungskapazität (1)
- Bevölkerungsentwicklung (1)
- Blue Chip (1)
- Budgetierung (1)
- Bundesbank (1)
- Capital Inflows (1)
- Capital-Asset-Pricing-Modell (1)
- Central Bank Communication (1)
- Central Bank Losses (1)
- Central Bank of Cyprus (1)
- Central Banks and Their Policies (1)
- Classification (1)
- Climate finance (1)
- Collateral (1)
- Commitment (1)
- Complexity (1)
- Compliance (1)
- Computational Methods (1)
- Condition number (1)
- Conditional Forecasts (1)
- Container Trade (1)
- Corona (1)
- Credit (1)
- Credit supply (1)
- Crises Forecasting (1)
- Currency Board (1)
- Cyprus (1)
- DSGE Model (1)
- Deficit spending (1)
- Deflation (1)
- Delphic forward guidance (1)
- Determinacy (1)
- Disinflation (1)
- Dual rates (1)
- Dunkelziffer (1)
- Dynamic stochastic general equilibrium model (1)
- ELA (1)
- Economic research (1)
- Effective Lower Bound (1)
- Effektivinflation (1)
- Energy crisis (1)
- Entscheidungsprozess (1)
- Epidemiologic model (1)
- Epidemiologisches Modell (1)
- Estimation (1)
- Europarecht (1)
- European Monetary Fund (1)
- European Monetary Union (1)
- European Stability Mechanism (1)
- Eurosystem (1)
- Eurozone (1)
- Exchange rate regime (1)
- Financial Frictions (1)
- Financial Markets and the Macroeconomy (1)
- Financial frictions (1)
- Finanzausgleich (1)
- Finanzdienstleistungsaufsicht (1)
- Finanzierung (1)
- Finanzmärkte und Finanzinstitute (1)
- Finanzplanung (1)
- Finanzwirtschaft (1)
- Fiscal Consolidation (1)
- Fiscal Multiplier (1)
- Fiscal Stimulus (1)
- Fiscal policy (1)
- Fiscal stress (1)
- Fokker-Planck equation (1)
- Forecast Comparison/ Competition (1)
- Forecasting (1)
- Forecasting and Simulation (1)
- Forward Guidance (1)
- Forward error (1)
- Forward guidance (1)
- Forward-looking data (1)
- Frankfurt <Main, 2007> (1)
- Frequency Domain (1)
- G-SIB (1)
- Garantie (1)
- Gegenwartspreise (1)
- German Reunification (1)
- German natural gas market (1)
- Geschichte 1980-2007 (1)
- Geschichte 1983-2008 (1)
- Geschichte 1986-2006 (1)
- Geschäftsleiterermesse (1)
- Gewinnverwendung (1)
- Global Optimization (1)
- Global financial crisis (1)
- Globalization (1)
- Government Debt (1)
- Government Deficit (1)
- Government Spending (1)
- Government spending multiplier (1)
- Great Recession (1)
- Greenbook (1)
- Hamilton filter (1)
- Haushalt (1)
- Hedge Fund (1)
- Herdenimmunität (1)
- Hierarchies (1)
- Hong Kong (1)
- House Prices (1)
- Hypothekarkredite (1)
- Income and Wealth Inequality (1)
- Incomplete Markets (1)
- Infektionsdynamik (1)
- Inflation Forecasting (1)
- Inflationssteuerung (1)
- Information (1)
- Innovation (1)
- Interest Rate Forecasting (1)
- Interest rate rule estimation (1)
- Interest rates (1)
- International Monetary Fund (1)
- Internationaler Kreditmarkt (1)
- Investition (1)
- Kalman Filter (1)
- Kapitalstruktur (1)
- Kaufkraft des Geldes (1)
- Keynesian models (1)
- Keynessche Theorie (1)
- Kongress (1)
- Konkurrent (1)
- Konzernrecht (1)
- Konzernverantwortung (1)
- Kostenplanung (1)
- Kreditgeber (1)
- Kreditsicherung (1)
- Labor cost adjustments (1)
- Landesbank (1)
- Lebenskostenindex (1)
- Lebenszeitverlust (1)
- Liquidity Facilities (1)
- Liquiditätseffekte der Zinspolitik (1)
- Loan market competition (1)
- Local projection (1)
- Länder (1)
- MREL (1)
- Maastricht criteria (1)
- Macroeconomic Forecasting (1)
- Macroeconomic Modeling (1)
- Macroeconomic Models (1)
- Markov-switching DSGE (1)
- Minimum Reserves (1)
- Mixed-frequency data (1)
- Model Comparison (1)
- Model Uncertainty (1)
- Model evaluation (1)
- Model uncertainty (1)
- Models and Applications (1)
- Monetary macroeconomics (1)
- Monetary policy rules (1)
- Monetary policy strategy (1)
- Monetary-fiscal interaction (1)
- Monte Carlo Methods (1)
- Moral Hazard (1)
- Narrative Identification (1)
- Natural Language Processing (1)
- Neural Network (1)
- New Keynesian DSGE (1)
- New Keynesian Model (1)
- New Keynesian Models (1)
- New Keynesian macro-epidemic models (1)
- New Keynesian models (1)
- New Neoclassical synthesis (1)
- Nonlinear Bayesian Estimation (1)
- Nordrhein-Westfalen (1)
- Notenbankpolitik (1)
- Occasionally Binding Constraints (1)
- Organisationspflichten von Banken (1)
- Output Gap (1)
- Panel VAR (1)
- Phillips Curve (1)
- Phillips curve (1)
- Planungsrechnung (1)
- Policy Rules (1)
- Potential Output (1)
- Preisstabilität (1)
- Production, Saving, Consumption and Investment Forecasting (1)
- Production-based asset pricing (1)
- QE (1)
- RCT (1)
- Real-Time Data (1)
- Real-time data (1)
- Rechtsdurchsetzung (1)
- Rechtsordnung (1)
- Relationship lending (1)
- Reproduktionszahlen (1)
- Restrukturierung (1)
- Reversible Jump Markov Chain Monte Carlo (1)
- Revisions (1)
- Risiko (1)
- Risikomanagement (1)
- Risk channel (1)
- Robustness (1)
- SVAR (1)
- Sanktionen (1)
- Schadensindex (1)
- Sensitivität (1)
- Short-run and long-run inflation expectations (1)
- Sicherstellungspflichten von Geschäftsleitern (1)
- Single Supervisory Mechanism (1)
- Soft Information (1)
- Soft infomation (1)
- Sparkasse (1)
- Spezifität (1)
- Stabilisierung (1)
- Stability and Growth Pact (1)
- Stabilitäts- und Wachstumspakt (1)
- Sticky Information (1)
- Structural policies (1)
- Supply Chain (1)
- Swiss Army Knife (1)
- TLAC (1)
- Taylor Rule (1)
- Taylor rule (1)
- Temporal aggregation (1)
- Top Income Taxation (1)
- Twitter (1)
- US top-wealth shares (1)
- Unternehmensgründung (1)
- Unternehmenswachstum (1)
- VARs (1)
- Value at Risk (1)
- Vektor-autoregressives Modell (1)
- Verdopplungszeit (1)
- Vergütung (1)
- Vermögenspreise (1)
- Versicherungsaufsicht (1)
- Versicherungsaufsichtsrecht (1)
- Vorteil (1)
- Wechselkurs (1)
- Welfare (1)
- Westdeutsche Landesbank (1)
- Wettbewerb (1)
- Wirtschaftsaufsicht (1)
- Wirtschaftsberichterstattung (1)
- Wohnraum (1)
- Wohnungsfinanzierung (1)
- Word Embedding (1)
- Zentralbankautonomie (1)
- Zinsen (1)
- adaptive learning (1)
- aggregate uncertainty (1)
- asset prices (1)
- asset pricing (1)
- bailouts (1)
- balance sheet risk (1)
- bank resolution (1)
- behavioral inattention (1)
- biased beliefs (1)
- bond markets (1)
- boom-bust (1)
- borrowing (1)
- bubbles (1)
- capital injection to banks (1)
- capital regulation (1)
- capital taxation (1)
- capital taxes (1)
- career concerns (1)
- cash (1)
- cash flow effects of interest rate policy (1)
- central bank (1)
- central bank accountability (1)
- central bank communication (1)
- central bank governance (1)
- central bank mandates (1)
- cliff effect (1)
- climate change (1)
- climate-economy models (1)
- cognitive load (1)
- cognitive sophistication (1)
- collateral (1)
- common factor models (1)
- compensation design (1)
- complexity (1)
- conditional forecasts (1)
- controlled diffusions and jump processes (1)
- convergence (1)
- corporate debt (1)
- corporate taxes (1)
- counterfactual analysis (1)
- credit constraints (1)
- crisis (1)
- debt relief to households (1)
- default premium (1)
- deflation (1)
- demographic trends (1)
- density forecasts (1)
- disaggregated prices (1)
- disagreement (1)
- doubling time (1)
- dynamic factor models (1)
- dynamic investment (1)
- dynamic stochastic general equilibrium models (1)
- education (1)
- elections (1)
- employment (1)
- endogenous growth (1)
- equilibrium interest rate (1)
- equity prices (1)
- euro area regional and sectoral inflation (1)
- euro crisis (1)
- expectations (1)
- external instruments (1)
- financial cycles (1)
- financial frictions (1)
- financial regulation (1)
- financial sector (1)
- financial stability (1)
- financial system (1)
- fiscal dominance (1)
- fiscal policy transmission (1)
- fiscal rules (1)
- fiscal stimulus (1)
- forecast combination (1)
- forecasts (1)
- front loading Effekte (1)
- front loading effects (1)
- furlough (1)
- general equilibrium (1)
- general exogenous processes (1)
- geopolitical risk (1)
- global co-movement (1)
- government finance (1)
- green central bank policy (1)
- growth (1)
- growth and development (1)
- herd immunity (1)
- heterogeneous agents (1)
- heterogeneous expectations (1)
- hours per capita measurement (1)
- household debt (1)
- housing debt crisis (1)
- housing investments (1)
- index of lost lifetime (1)
- infection dynamics (1)
- inflation expectations (1)
- inflation forecasting (1)
- inflation persistence (1)
- inflation surge (1)
- inflation target (1)
- information (1)
- information networks (1)
- internal ratings (1)
- labor income taxes (1)
- laboratory experiment (1)
- learning about jumps (1)
- lender of last resort (1)
- leverage (1)
- liftoff (1)
- liquidity premium (1)
- loss index (1)
- loss sharing (1)
- low frequency trends (1)
- lumpy investment (1)
- machine learning (1)
- macro-finance (1)
- macro-financial models (1)
- macro-prudential supervision (1)
- macroeconomic conditions (1)
- macroeconomic experiences (1)
- macrofinancial linkages (1)
- macroprudential policy transmission (1)
- market discipline (1)
- menu costs (1)
- monetary and fiscal policy (1)
- monetary financing (1)
- monetary institutions (1)
- monetary law (1)
- monetary policy real-time output gap (1)
- monetary policy rule (1)
- monetary policy rules (1)
- monetary policy transmission (1)
- monetary transmission (1)
- mortgage loans (1)
- multiple equilibria (1)
- narrative sign restrictions (1)
- natural experiment (1)
- natural gas price (1)
- net wealth (1)
- nominal rigidity (1)
- nonlinearity (1)
- numerical solution method (1)
- online experiments (1)
- opportunity (1)
- optimal monetary policy (1)
- output gap (1)
- output gap estimates (1)
- output hysteresis (1)
- panel VAR (1)
- panel vector autoregression (1)
- peer effects (1)
- perceived wealth (1)
- persistent or transitory inflation shock (1)
- policy normalization (1)
- policy rule (1)
- political economy (1)
- populism (1)
- portfolio choice (1)
- potential output (1)
- price stability (1)
- principal-agent models (1)
- product market competition (1)
- productivity growth (1)
- propagation of inequality (1)
- proportionality (1)
- quantile regressions (1)
- quantity theory (1)
- randomized control trial (1)
- randomized controlled trial (1)
- rational expectations (1)
- rational learning (1)
- real estate lending (1)
- regulatory arbitrage (1)
- reproduction number (1)
- robust monetary policy (1)
- robust policy (1)
- robust simple rules (1)
- rules (1)
- rules vs discretion (1)
- saving (1)
- savings accounts (1)
- search and matching (1)
- seigniorage (1)
- sensitivity (1)
- shadow banking (1)
- shadow banking system (1)
- simple rules (1)
- skewness (1)
- solution methods (1)
- sovereign credit rating (1)
- specificity (1)
- spectral methods (1)
- spectral regression (1)
- spending cuts (1)
- state-owned enterprises (1)
- sticky information (1)
- sticky wages (1)
- stochastic volatility (1)
- stock market reaction (1)
- stock prices (1)
- structural breaks (1)
- structural scenario analysis (1)
- subjective expectations (1)
- survey experiment (1)
- survey forecasts (1)
- sustainable finance (1)
- synchronization (1)
- tax reform (1)
- technological growth (1)
- technologische Schocks (1)
- technology shocks (1)
- time-varying parameter (1)
- too low for too long (1)
- treatment capacity (1)
- trend inflation (1)
- trend-cycle decomposition (1)
- trend-extrapolation (1)
- uncertainty (1)
- unconfirmed cases (1)
- unconventional monetary policy (1)
- updating (1)
- vector-autoregression (1)
- venture capital (1)
- war (1)
- working hours (1)
- yield curve (1)
- yields (1)
- z-Transform (1)
- Öffentliche Ausgaben (1)
Institute
Helmut Schlesinger: Wegbereiter und Garant der deutschen Geld- und Stabilitätspolitik wird 100
(2024)
Am 4. September 2024 vollendet Professor Dr. Helmut Schlesinger sein 100. Lebensjahr. Von 1991 bis 1993 bekleidete er das Amt des Präsidenten der Deutschen Bundesbank. Zuvor war er in verschiedenen Positionen für die Bank tätig, unter anderem als langjähriger Vizepräsident (von 1980 bis 1991) sowie als Leiter der Hauptabteilung Volkswirtschaft und Statistik. Das Jubiläum bietet Anlass, sein Lebenswerk zu beschreiben und zu würdigen. Für ehemalige Mitarbeiter war Helmut Schlesinger ein großes Vorbild und eine Quelle des Ansporns in vielerlei Hinsicht. Insbesondere vier Bereiche seiner Tätigkeiten haben die Arbeit seiner Mitarbeiter maßgeblich geprägt: Erstens seine Fähigkeit, ökonomisches Denken als eine Synthese aus Analyse und Statistik zu begreifen, zu vermitteln und zu organisieren, zweitens sein Verdienst, eine Stabilitätskultur in leitenden Positionen mitgeschaffen und bewahrt zu haben, drittens sein ordnungspolitisches Credo zur Preisstabilität und zur Unabhängigkeit der Zentralbank sowie viertens seine klaren Vorstellungen zu den Bedingungen einer erfolgreichen Europäischen Wirtschafts- und Währungsunion.
Im Folgenden soll ein Überblick über diese vier Schwerpunkte seiner Schaffensbilanz gegeben werden. In diesem Kontext ist insbesondere Schlesingers entscheidende Rolle bei der Schaffung der deutsch-deutschen Währungsunion 1990 sowie beim langjährigen Entstehungsprozess des Eurosystems und der Europäischen Zentralbank hervorzuheben. In der deutschen Bevölkerung, aber auch international hoch geachtet, wurde Helmut Schlesinger oft als die "Seele der Bundesbank" bezeichnet.Die Anforderungen, die er an jeden Einzelnen stellte, waren hoch. Er wurde von den Mitarbeitern sehr geschätzt, nicht zuletzt aufgrund seines großen Arbeitsethos und seiner unermüdlichen Schaffenskraft, die von Beständigkeit, Gradlinigkeit und Prinzipientreue geprägt waren.
I provide a solution method in the frequency domain for multivariate linear rational expectations models. The method works with the generalized Schur decomposition, providing a numerical implementation of the underlying analytic function solution methods suitable for standard DSGE estimation and analysis procedures. This approach generalizes the time-domain restriction of autoregressive-moving average exogenous driving forces to arbitrary covariance stationary processes. Applied to the standard New Keynesian model, I find that a Bayesian analysis favors a single parameter log harmonic function of the lag operator over the usual AR(1) assumption as it generates humped shaped autocorrelation patterns more consistent with the data.
In this paper, we construct a Dynamic Stochastic General Equilibrium (DSGE) model to examine the implications of dual rates for green lending. We demonstrate that implementing a distinct interest rate for banks engaged in green lending can effectively mitigate transition risks while channeling more capital towards green production sectors and firms for an immediate cut of emissions and net zero emission economy targets.
We use a structural VAR model to study the German natural gas market and investigate the impact of the 2022 Russian supply stop on the German economy. Combining conventional and narrative sign restrictions, we find that gas supply and demand shocks have large and persistent price effects, while output effects tend to be moderate. The 2022 natural gas price spike was driven by adverse supply
shocks and positive storage demand shocks, as Germany filled its inventories before the winter. Counterfactual simulations of an embargo on natural gas imports from Russia indicate similar positive price and negative output effects compared to what we observe in the data.
This paper contributes a multivariate forecasting comparison between structural models and Machine-Learning-based tools. Specifically, a fully connected feed forward non-linear autoregressive neural network (ANN) is contrasted to a well established dynamic stochastic general equilibrium (DSGE) model, a Bayesian vector autoregression (BVAR) using optimized priors as well as Greenbook and SPF forecasts. Model estimation and forecasting is based on an expanding window scheme using quarterly U.S. real-time data (1964Q2:2020Q3) for 8 macroeconomic time series (GDP, inflation, federal funds rate, spread, consumption, investment, wage, hours worked), allowing for up to 8 quarter ahead forecasts. The results show that the BVAR improves forecasts compared to the DSGE model, however there is evidence for an overall improvement of predictions when relying on ANN, or including them in a weighted average. Especially, ANN-based inflation forecasts improve other predictions by up to 50%. These results indicate that nonlinear data-driven ANNs are a useful method when it comes to macroeconomic forecasting.
Central bank intervention in the form of quantitative easing (QE) during times of low interest rates is a controversial topic. The author introduces a novel approach to study the effectiveness of such unconventional measures. Using U.S. data on six key financial and macroeconomic variables between 1990 and 2015, the economy is estimated by artificial neural networks. Historical counterfactual analyses show that real effects are less pronounced than yield effects.
Disentangling the effects of the individual asset purchase programs, impulse response functions provide evidence for QE being less effective the more the crisis is overcome. The peak effects of all QE interventions during the Financial Crisis only amounts to 1.3 pp for GDP growth and 0.6 pp for inflation respectively. Hence, the time as well as the volume of the interventions should be deliberated.
We create an alternative version of the present utility value formula to explicitly show that every store-of-value in the economy bears utility-interest (non-pecuniary income) for ist holder regardless of possible interest earnings from financial markets. In addition, we generalize the well-known welfare measures of consumer and producer surplus as present value concepts and apply them not only for the production and usage of consumer goods and durables but also for money and other financial assets. This helps us, inter alia, to formalize the circumstances under which even a producer of legal tender might become insolvent. We also develop a new measure of seigniorage and demonstrate why the well-established concept of monetary seigniorage is flawed. Our framework also allows us to formulate the conditions for liability-issued money such as inside money and financial instruments such as debt certificates to become – somewhat paradoxically – net wealth of the society.
The Federal Reserve has been publishing federal funds rate prescriptions from Taylor rules in its Monetary Policy Report since 2017. The signals from the rules aligned with Fed action on many occasions, but in some cases the Fed opted for a different route. This paper reviews the implications of the rules during the coronavirus pandemic and the subsequent inflation surge and derives projections for the future.
In 2020, the Fed took the negative prescribed rates, which were far below the effective lower bound on the nominal interest rate, as support for extensive and long-lasting quantitative easing. Yet, the calculations overstate the extent of the constraint, because they neglect the supply side effects of the pandemic.
The paper proposes a simple model-based adjustment to the resource gap used by the rules for 2020. In 2021, the rules clearly signaled the need for tightening because of the rise of inflation, yet the Fed waited until spring 2022 to raise the federal funds rate. With the decline of inflation over the course of 2023, the rules’ prescriptions have also come down. They fall below the actual federal funds rate target range in 2024. Several caveats concerning the projections of the interest rate prescriptions are discussed.
Despite a number of helpful changes, including the adoption of an inflation target, the Fed’s monetary policy strategy proved insufficiently resilient in recent years. While the Fed eased policy appropriately during the pandemic, it fell behind the curve during the post-pandemic recovery. During 2021, the Fed kept easing policy while the inflation outlook was deteriorating and the economy was growing considerably faster than the economy’s natural growth rate—the sum of the Fed’s 2% inflation goal and the growth rate of potential output.
The resilience of the Fed’s monetary policy strategy could be enhanced, and such errors be avoided with guidance from a simple natural growth targeting rule that prescribes that the federal funds rate during each quarter be raised (cut) when projected nominal income growth exceeds (falls short) of the economy’s natural growth rate. An illustration with real-time data and forecasts since the early 1990s shows that Fed policy has not persistently deviated from this simple rule with the notable exception of the period coinciding with the Fed’s post-pandemic policy error.
Highlights
• Six Newton methods for solving matrix quadratic equations in linear DSGE models.
• Compared to QZ using 99 different DSGE models including Smets and Wouters (2007).
• Newton methods more accurate than QZ with comparable computation burden.
• Apt for refining solutions from alternative methods or nearby parameterizations.
Abstract
This paper presents and compares Newton-based methods from the applied mathematics literature for solving the matrix quadratic that underlies the recursive solution of linear DSGE models. The methods are compared using nearly 100 different models from the Macroeconomic Model Data Base (MMB) and different parameterizations of the monetary policy rule in the medium-scale New Keynesian model of Smets and Wouters (2007) iteratively. We find that Newton-based methods compare favorably in solving DSGE models, providing higher accuracy as measured by the forward error of the solution at a comparable computation burden. The methods, however, suffer from their inability to guarantee convergence to a particular, e.g. unique stable, solution, but their iterative procedures lend themselves to refining solutions either from different methods or parameterizations.