The Bank of England s forecasting platform

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Transcription:

8 March 218

The forecast process: key features Each quarter, the Bank publishes an Inflation Report, including fan charts that depict the MPC s best collective judgement about the most likely paths for inflation, output and unemployment, and the uncertainties surrounding those central projections. Forecasts are Owned by the MPC Conditional on the paths for the interest rate, the exchange rate, government spending Ultimately determined by judgement, not models Forecasting platform Collection of models and tools Supports staff in facilitating MPC discussions

Key elements of forecast platform design Single model cannot perform well in all roles Essentially, all models are wrong, but some are useful. George Box (1987) Central model to organise the forecast Provides baseline framework for consistency of analysis Guiding principles: Theoretical consistency, tractability, flexibility : Medium-scale new-keynesian open-economy DSGE model Use a suite of models Help cope with misspecification of central model Structural and reduced-form models, ranging from single-equation models to alternative versions of (e.g. with energy) Provide cross checks on analysis from central model Recent effort to revamp suite of state-of-the-art forecasting/nowcasting models

flows and sectors schematic Building blocks Capital Value added Imports Importer Labour Consumption Final output Rest of the world Households Business investment Other private investment Government spending Exports Government Exporter

Building blocks Key behavioural equations and parameters Phillips curves for prices of value-added, consumption, import, exports and labour Price adjustment costs (Calvo in the current version of ) Indexation parameters and share of firms that follow rule-of-thumb pricing Elasticity of labour supply Euler equations for consumption and investment Investment adjustment cost parameter (Tobin s q) External habits and share of rule-of-thumb consumers The world Exogenous to UK economy SVAR of world GDP, world prices and world interest rates Export demand Price elasticity of export demand Import demand, which arises from the cost minimisation of final goods producers UIP condition Households Firms Trends

Monetary and fiscal policy Some comments on design Building blocks Monetary policy follows a reaction function responding to output gap and CPI inflation, with interest rate smoothing Simple articulation of fiscal policy Government spending modelled as stochastic process around trend Lump sum taxes levied on unconstrained households: implies a form of Ricardian equivalence Assume budget balanced each period for simplicity Forecasts conditioned on implications of announced fiscal plans and measure of market expectations of Bank Rate

Estimation Some comments on design Building blocks Model is estimated on first differences for all I(1) variables Bayesian estimation methods Combine prior information on the parameters with information about the relevant data series Data sample 1993Q1 216Q4 for following variables Real GDP, consumption, (business) investment, government spending, exports & imports CPI, import prices, export prices nominal exchange rate, shadow Bank Rate Total hours worked, wages (AWE) World demand, world export prices

Policy Analysis in Building blocks Responses to a 5bp increase in the policy rate Bank rate.2 GDP.1 Annual Inflation.6.5.4.3.2.1.1 5 1 15 2 25 3.2.4.6 1 2 3.5.5 1 Investment 1.5 1 2 3.1.2.3 1 2 3.2.2.4 Hours.6 1 2 3

Policy Analysis in Building blocks

Stochastic Simulations in Building blocks simulations used to assess if the private sector perceived the ZLB as a binding constraint on policy

Stochastic Simulations in Building blocks simulations used to assess if the private sector perceived the ZLB as a binding constraint on policy Compared deflation probabilities from with deflation probability measure from professional forecasters and financial markets Professional forecasters and financial markets identify 29 and 215 as periods of heightened deflation risk Model simultations produced with no ZLB also identify 29 and 215, while model with an ZLB also picks up 212-213 While 29 and 215 deflation risk is mainly driven by weak inflation outlook, the 212-213 is driven by presence of the ZLB sims suggest the private sector did not perceive the ZLB to pose a significant constraint on policy Haberis, Masolo, Reinold (forthcoming IJCB)

Stochastic Simulations in Building blocks Per cent 6 5 4 3 2 1-1 -2-3 -4 212 214 216 218 (a) CPI inflation, No ELB 212 214 216 218 Per cent 1 (b) GDP growth, No ELB 8 6 4 2-2 -4 Per cent 4 3.5 3 2.5 2 1.5 1.5 -.5-1 212 214 216 218 (c) Bank Rate, No ELB Per cent 3 2 1-1 -2-3 -4 212 214 216 218 (d) Real rate, No ELB Per cent 6 5 4 3 2 1-1 -2-3 -4 212 214 216 218 (e) CPI inflation, % ELB 212 214 216 218 Per cent 1 (f) GDP growth, % ELB 8 6 4 2-2 -4 Per cent 4 3.5 3 2.5 2 1.5 1.5 -.5-1 212 214 216 218 (g) Bank Rate, %ELB Per cent 3 2 1-1 -2-3 -4 212 214 216 218 (h) Real rate, % ELB

Core with myopic households Suite of models is also a laboratory. The assumption of full information rational expectations is often questioned by the Monetary Policy Committee. MPC tend to believe model s responses are too front-loaded The forward guidance puzzle suggests that indeed the role of expectations in the distant future is too strong In the natural experiment of Brexit, consumers responded much less than expected. We have experimented with behavioural assumptions: with adaptive expectations for all variables but the exchange rate Gabaix (216)-style behavioral (stripped down version of)

Core with myopic households Suite of models Annual inflation Output gap % dev. from s.s..5.1.15 5 1 15 Quarters % dev. from s.s..6.4.2 Bank Rate with rational expectations with bounded rationality with VAR expectations % dev. from s.s..1.2.3 5 1 15 Quarters.2 5 1 15 Quarters

: other development in train Suite of models with energy Dynamic general equilibrium model that includes a wide range of potential channels through which energy price shocks may affect the economy Households consume ofinal energy goods (petrol and utilities) separately from other goods and services The production of energy and the way that energy enters the production processes of other non-energy goods and services is modelled explicitly. Time-varying (Kapetanios, Masolo, Petrova, Waldron 217) Investigate structural change through the lense of Bayesian local likelihood methods (Galvao, Giraitis, Kapetanios and Petrova, 217) Gradual shift to a monetary policy regime characterised by a marked increase in the responsiveness of monetary policy to inflation alongside a decrease in the level of trend inflation down to the 2% target level.

: other development in train Suite of models with energy Dynamic general equilibrium model that includes a wide range of potential channels through which energy price shocks may affect the economy Households consume ofinal energy goods (petrol and utilities) separately from other goods and services The production of energy and the way that energy enters the production processes of other non-energy goods and services is modelled explicitly. Time-varying (Kapetanios, Masolo, Petrova, Waldron 217) Investigate structural change through the lense of Bayesian local likelihood methods (Galvao, Giraitis, Kapetanios and Petrova, 217) Gradual shift to a monetary policy regime characterised by a marked increase in the responsiveness of monetary policy to inflation alongside a decrease in the level of trend inflation down to the 2% target level. with financial frictions

Suite of models Some comments on design Suite of models Set of empirical models to cross-check the MPC s forecast. BVAR, Dynamic factor model, etc We are working on a DSGE-VAR for (Del Negro and Schorfheide 24) Exploring various models for Brexit class of infinite-horizon nonlinear dynamic economic models in which preferences, technology and laws of motion for exogenous variables can change over time deterministically or stochastically (Maliar et al., 215) Bilbiie-Ghironi-Melitz (212) type models to capture the endogenous firm entry/exit dynamics. Other modelling approaches Advanced Analytics Division working on agent-based models

Suite of models Additional slides

Households Some comments on design Suite of models Share ω o of households can access the financial markets and are able to save and borrow choose how much to consume/invest/work/hold money to maximse their utility subject to the budget constraint Key frictions they face: external habits wage rigidities à la Calvo investment adjustment costs Share of households 1 ω o do not access financial markets consume their labour income plus a transfer from the goverment take wage set by the optimising households as given supply the same amount of labour as optimising households back

Firms Some comments on design Suite of models There are 5 types of firms in : final output producers, value-added producers, importers, exporters and retailers. All monopolistically competitive, bar the retailers. In the current version of, we model price rigidities according to Calvo (1983). In addition to indexation, we also have a (small) share of firms in each sector that do rule-of-thumb pricing (Galì and Gertler, 1999) Retailers are perfectively competitive firms with different technologies applying to each separate sector, giving rise to different trend growth rates for consumption, investment, government and trade back

Trends Some comments on design Suite of models Model includes a permanent labour augmenting productivity shock Expenditure, wages and GDP are all treated as I(1) and cointegrated Simple CRS retail sector incorporates determinstic technology trends that can vary by expenditure component back Real great ratios and relative prices are trended (trend stationary)