Macroeconomic Modelling at the Central Bank of Brazil. Angelo M. Fasolo Research Department

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Macroeconomic Modelling at the Central Bank of Brazil Angelo M. Fasolo Research Department

Introduction Economic analysis at the BCB based on three type of models: Small-scale semi-structural models, focused on inflation and output gap projections Medium-scale DSGE model, focused on policy analysis Medium-scale DSGE model with financial frictions for financial stability analysis Operational framework for monetary policy analysis reconcile common hypothesis across models

Introduction Talking Points Small-scale semi-structural models Current structure and estimation procedure Challenges and alternative versions of the model DSGE model SAMBA Current features of the model Challenges and work in progress Combining models for monetary policy analysis Framework for analysis on MPC DSGE model FaFi and requested simulations Monetary policy shock Financial shock

Overview Small-scale semi-structural models Nominal Policy Rate Nominal Swap Rate Country Risk Premium Real Swap Rate Domestic Uncertainty Natural interest rate Output Gap Fiscal Policy Global Slack Commodity Prices Expectations Free Market Prices Exchange Rate Weather anomalies CPI Administered Prices Idiosyncratic factors

Core Structure Introduction Phillips curve: free market prices and administered prices Free market prices inflation Aggregate free market prices Free market prices by segments: food-at-home; services; industrial goods (ex-food) Administered prices System of equations with all 23 administered CPI items modelled IS curve Suite of output gap measures Swap rate equation Taylor rule

Small-scale semi-structural models Core models are estimated using system GMM Satellite model to project potential output growth Combine with IS curve to obtain GDP growth forecast Satellite dynamic factor model (DFM) to capture the comovement between domestic uncertainty and the exchange rate Endogenous feedback between free market prices and administered prices On-going developments include Bayesian estimation of medium-scale semistructural models with an explicit role for relative price shocks

DSGE model SAMBA SAMBA : Stochastic Analytical Model with a Bayesian Approach Bad acronym for a good model! Medium-scale DSGE model for Brazil, characterizing the main transmission channels from monetary policy to the economy. Similar model to those in other central banks (ECB, NZ, Chile, Canada, UK, Sweden, Norway, ).

DSGE model SAMBA Framework: Brazil as a small-open economy Standard features of the model: Nominal rigidities: prices and wages (Calvo, 1983) Real rigidities: habit persistence in consumption; investment, exports and imports adjustment costs Monetary and fiscal policy rules Exogenous foreign sector Features from the Brazilian economy: Separate Phillips curve for administered prices, with different indexation rules Imports as an input for domestic production Rule-of-Thumb agents calibrated based on income distribution

DSGE model SAMBA Ricardian Households K L Rule-of- Thumb Households Domestic Input Producers Importers Intermediary Goods Producers Consumption Investment Government Consumption C I G Government Exports X Rest of the World M

DSGE model SAMBA Recent developments: Common trends, estimated in the model, for GDP and demand components Adjustment of the model for new time series of wages and employment Better dynamics from adjustment costs of exports and imports SVAR describing foreign sector: include more variables Future developments: Compute the natural real interest rate and natural GDP growth Description of fiscal policy: distortionary taxation Additional price disaggregation: food-at-home; services; industrial goods (ex-food)

Combining models for monetary policy analysis How to compare forecasts from a DSGE model with other forecasts? Comparing with the semi-structural models: All exogenous variables conditioned with the same values All conditioned forecasts based on the same scenario Experts provide nowcasts and short-run forecasts for both models Try to reduce as much as possible the information gap among models How to present forecasts from a DSGE model? Exploring the output of the DSGE model: Historical data and shock decompositions Confidence bands based on parameter uncertainty Explicit transmission mechanism from other (more complex) scenarios

Simulations: Monetary policy shock

DSGE model FaFi Estimated open economy DSGE model with financial frictions and a banking sector Designed for analysis of macroprudential policies Three types of credit: Firms: variant of BGG financial accelerator Consumer loans: debt-to-income constraint Housing loans: regulated interest rates and earmarked funding Monetary and macroprudential instruments: Policy interest rate, capital requirement, reserve requirements, sectoral risk weights, taxes on financial transactions

Simulations: Financial shock