EXPECTATIONS AND THE IMPACTS OF MACRO POLICIES

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EXPECTATIONS AND THE IMPACTS OF MACRO POLICIES Eric M. Leeper Department of Economics Indiana University Federal Reserve Bank of Kansas City June 24, 29

A SINGULAR ECONOMIC EVENT? $11.2 Trillion loss of wealth last year 5.8% drop in GDP, 28Q4; 3.1% drop in GDP, 29Q1 8.9% unemployment rate in April $787 Billion stimulus package

THE JOINT POLICY RESPONSE Unusually aggressive monetary & fiscal policy response federal funds rate near zero bound since Dec 28 Fed s balance sheet has exploded: from $8 billion to about $2.5 trillion at end of 29 $125 billion tax refund in 28 and $787 billion stimulus package in 29 deficit is 13% of GDP now; debt will rise from 4% to 8% of GDP over the decade and may reach 277% in 24

THIS TALK Establish the role of expectations in monetary policy well understood with lots of research Establish the role of expectations in fiscal policy understood conceptually, but perhaps not quantitatively Establish the need to study monetary & fiscal policy jointly shall reveal a dirty little secret well understood but widely denied Derive some new mantras for macro policy making

MANTRA I Central banking mantra: Monetary policy is about managing expectations Many features of modern central banking flow from this adoption of explicit inflation targeting prominent role for communication with public publication of inflation/monetary policy reports publication of detailed minutes announcement of interest-rate paths enhanced accountability for central bankers

GENESIS OF THE MANTRA Monetary policy making under rational expectations Example from new Keynesian model: demand given by y t = E t y t+1 σ 1 (i t E t π t+1 r n t ) y: output; i: policy rate; π: inflation; r n : natural interest rate A dynamic relation that implies y t = E t σ 1 (i t+j E t π t+j+1 rt+j) n j= When policy follows i t = α(z t ), function of state y t = E t σ 1 (α(z t+j ) E t π t+j+1 rt+j) n j=

EXPECTATIONS AND MONETARY POLICY Consider a simple model of inflation with α > 1 i t = E t π t+1 + r t i t = απ t Combine these to yield E t π t+1 = απ t + r t Repeated substitution, assuming fixed policy rule π t = 1 ( ) s 1 α E t r t+s α s= Big Assumption: Policy over infinite future same as it is now: α t = α all t This ain t what any central bank in the world is doing now

EXPECTATIONS AND MONETARY POLICY If monetary policy regime has changed, then regime can change Agents will form expectations over possible future regimes The current regime no longer completely determines effects of monetary policy Suppose there are two regimes: i t = α(s t )π t Regime I: active policy α > 1 Regime II: passive policy < α < 1 Effects of aggregate disturbances depend on expectations of current & future regimes Draws on Davig & Leeper

MACRO SHOCKS: FIXED ACTIVE REGIME Inflation.5.4.3.2 Demand Fixed Regime Inflation 4 3 2 Supply Fixed Regime.1 1 1 2 3 4 5 1 2 3 4 5 Output.2.15.1 Fixed Regime Output 2 4 6 Fixed Regime.5 8 1 2 3 4 5 1 1 2 3 4 5

Inflation.5.4.3.2.1 MACRO SHOCKS: SWITCHING REGIME Demand Switching Regime Inflation 4 3 2 1 Supply Switching Regime 1 2 3 4 5 1 2 3 4 5 Output.2.15.1 Switching Regime Output 2 4 6 Switching Regime.5 8 1 2 3 4 5 1 1 2 3 4 5

EXPECTATIONS AND FISCAL POLICY Some results from a model estimated to U.S. data [Leeper, Plante, Traum (29)] Standard neo-classical growth model with fiscal instruments unproductive government spending capital taxes labor taxes lump-sum transfer payments Estimate how each instrument has responded to government debt historically Yields estimates of the sources of fiscal financing

FISCAL FINANCING IN THE U.S. Formal Bayesian tests indicate that intertemporal fiscal adjustments are complex best fit from a model that allows all instruments to adjust over time debt dynamics important for impacts of fiscal policies Fiscal multipliers tend to be modest in size Modest multipliers a tentative finding: model does not include monetary policy Sources of fiscal financing very important

GOVERNMENT SPENDING MULTIPLIERS Output Multipliers.6.4 All instruments adjust.2.2.4 5 1 15 2 25 3 35 4 Quarters After an Increase in Government Consumption

GOVERNMENT SPENDING MULTIPLIERS Output Multipliers.6.4 All instruments adjust.2.2.4 $1 more government spending $.65 more GDP 5 1 15 2 25 3 35 4 Quarters After an Increase in Government Consumption

GOVERNMENT SPENDING MULTIPLIERS Output Multipliers.6.4 Only transfers adjust.2.2.4 5 1 15 2 25 3 35 4 Quarters After an Increase in Government Consumption

GOVERNMENT SPENDING MULTIPLIERS Output Multipliers.6.4 Only transfers adjust.2.2.4 If higher spending financed with lower transfers, GDP rises more 5 1 15 2 25 3 35 4 Quarters After an Increase in Government Consumption

GOVERNMENT SPENDING MULTIPLIERS Output Multipliers.6.4.2 Government spending adjusts.2.4 5 1 15 2 25 3 35 4 Quarters After an Increase in Government Consumption

GOVERNMENT SPENDING MULTIPLIERS Output Multipliers.6.4.2 Government spending adjusts.2.4 If government spending financed by lower government spending, GDP falls after 2 years 5 1 15 2 25 3 35 4 Quarters After an Increase in Government Consumption

.8 GOVERNMENT SPENDING MULTIPLIERS Output Multipliers.6.4 Taxes adjust.2.2.4.6 5 1 15 2 25 3 35 4 Quarters After an Increase in Government Consumption

GOVERNMENT SPENDING MULTIPLIERS.8 Output Multipliers.6.4 Taxes adjust.2.2.4 If government spending financed by higher taxes, GDP soon begins to decline.6 5 1 15 2 25 3 35 4 Quarters After an Increase in Government Consumption

SPEED OF FISCAL ADJUSTMENT Obama administration has pledged to cut deficit in half within 4 years Done in response to outcries about fiscal unsustainability Use estimated model to answer: What are the implications for effectiveness of fiscal stimulus of slowing down or speeding up fiscal adjustments? slowing down pushes adjustments into future rational agents discount those more heavily speeding up brings them forward Changes in the timing of fiscal adjustments can alter the government spending multipliers in important ways

GOVERNMENT SPENDING MULTIPLIERS.7 Output Multipliers.6.5.4 Historically Estimated Speed of Adjustment.3.2.1.1.2 1 2 3 4 5 6 Quarters After an Increase in Government Consumption

.7 GOVERNMENT SPENDING MULTIPLIERS Output Multipliers.6.5.4.3 Slower Speed of Adjustment.2.1.1.2 1 2 3 4 5 6 Quarters After an Increase in Government Consumption

.7.6.5.4 GOVERNMENT SPENDING MULTIPLIERS Output Multipliers Slower retirement of debt enhances fiscal stimulus for 6 years.3 Slower Speed of Adjustment.2.1.1.2 1 2 3 4 5 6 Quarters After an Increase in Government Consumption

.7 GOVERNMENT SPENDING MULTIPLIERS Output Multipliers.6.5.4.3 Faster Speed of Adjustment.2.1.1.2 1 2 3 4 5 6 Quarters After an Increase in Government Consumption

.7.6.5.4 GOVERNMENT SPENDING MULTIPLIERS Output Multipliers Faster retirement of debt suppresses fiscal stimulus.3 Faster Speed of Adjustment.2.1.1.2 1 2 3 4 5 6 Quarters After an Increase in Government Consumption

EXPECTATIONS AND MONETARY & FISCAL The conventional wisdom POLICY An appropriate choice of policy behavior the α(z t ) function allows monetary policy to target inflation influence aggregate demand stabilize the macro economy Monetary policy s effectiveness depends on private sector s beliefs about current & future monetary policy This would be wonderful... if it were true

THE DIRTY LITTLE SECRET The claims about monetary policy s potency fundamentally depends on fiscal policy behavior Consider an open-market sale to tighten monetary policy M t B t i t Higher B t and higher i t imply higher debt service Fiscal policy must be expected to raise future surpluses Without this fiscal response, it is not feasible to conduct the open-market sale Also implies that exogenous MP contractions should predict higher surpluses: evidence?

MANTRA II The dirty little secret leads to For monetary policy to manage expectations, fiscal policy must manage expectations appropriately This mantra is much less catchy and far less popular

Myth #1 MYTH BUSTING Inflation is always & everywhere a monetary phenomenon. Monetary policy can control inflation only if fiscal behavior stabilizes debt Failure of fiscal policy to manage expectations appropriately can destabilize the economy Most (all?) countries have not established a fiscal framework compatible with monetary policy control of inflation Current circumstances may test if this is a practical problem as well as a theoretical one

Myth #2 MYTH BUSTING The quantity theory of money and the fiscal theory of the price level are alternative theories of price level determination. These are treated as dichotomous views: only M matters vs. only B matters There is only a single theory: the price level and inflation are always & everywhere joint monetary and fiscal phenomena So-called quantity and fiscal theories emerge as special cases

Myth #3 MYTH BUSTING It is reasonable to study monetary policy and fiscal policy impacts separately. Every statement about monetary policy impacts is conditional on fiscal behavior Every statement about fiscal policy impacts is conditional on monetary behavior When we study monetary and fiscal policy separately, we do so by maintaining special assumptions about how the other policy behaves Every central bank models MP in isolation from FP

Myth #4 MYTH BUSTING Monetary approaches to price level determination are standard and fiscal approaches are non-standard. If standard means traditional/textbook, then this is correct If standard means more useful or widely applicable, then this is a myth This myth supports the common misperception that the fiscal approach applies only in extreme circumstances hyperinflation or zero bound interest rates Fiscal approach useful in general; especially useful now

UBIQUITOUS EQUILIBRIUM CONDITIONS Dynamic models include two equilibrium conditions: M t V t = P t Y t (QE) M t 1 + B t 1 P t = E t q t,t S T T =t (IEC) q t,t is pricing kernel; S T is net-of-interest surplus inclusive of seigniorage These are both equilibrium conditions They are not constraints on policy choices No policy authority must choose instruments to be consistent with (QE) or (IEC)

POLICY INTERACTIONS: SIMPLE EXAMPLE Endowment economy; log linearize Monetary policy rule i t = απ t + stuff Combine with Fisher equation to yield E t π t+1 = απ t + stuff (Inflation Dynamics)

POLICY INTERACTIONS: SIMPLE EXAMPLE Fiscal policy rule τ t = γ B t 1 P t 1 + stuff Combine with government s flow budget constraint to yield B t P t = [β 1 γ(β 1 1)] B t 1 P t 1 + stuff (Debt Dynamics)

DYNAMICS OF PRICE DETERMINATION E t π t+1 = απ t + stuff (Inflation Dynamics) B t P t = [β 1 γ(β 1 1)] B t 1 P t 1 + stuff (Debt Dynamics) Unique stationary equilibrium requires one equation to be stable and one to be unstable Properties of equilibrium very different in different regions of policy parameter space (α, γ)

JOINT MONETARY-FISCAL BEHAVIOR Region Policy Behavior Outcome I Active MP α > 1 Passive FP γ > 1 Unique eqm II III IV

ACTIVE MONETARY/PASSIVE FISCAL Equilibrium (Inflation Dynamics) explosive (α > 1), so only stable solution makes π t depend on expected future stuff Impacts of shocks on π t mitigated by MP behavior larger is α, more the impacts are eliminated (Debt Dynamics) stable (γ > 1) wealth effects from higher B t arising from monetary or fiscal actions are eliminated by higher expected τ t+k If FP were not stabilizing debt, MP would not be able to target inflation (or conduct open-market operations) FP behavior important even though, in equilibrium, fiscal shocks do not affect inflation Almost all MP analysis assumes this regime

JOINT MONETARY-FISCAL BEHAVIOR Region Policy Behavior Outcome I II Passive MP α < 1 Active FP γ < 1 Unique eqm III IV

PASSIVE MONETARY/ACTIVE FISCAL Equilibrium (Debt Dynamics) explosive (γ < 1), so the only stable solution makes P t depend on expected future net surpluses debt-financed tax cut increases wealth because future taxes not expected to rise increases aggregate demand raises current & expected inflation and, if prices sticky, current and future GDP (Inflation Dynamics) stable (α < 1) determines expected inflation If MP were to raise i with π, debt would explode by fixing i t, MP prevents debt from exploding MP behavior important even though, in equilibrium, monetary shocks do not affect inflation

JOINT MONETARY-FISCAL BEHAVIOR Region Policy Behavior Outcome I II III Passive MP α < 1 Passive FP γ > 1 Multiple eq IV Both policies try to stabilize debt; neither determines price level

JOINT MONETARY-FISCAL BEHAVIOR Region Policy Behavior Outcome I II III IV Active MP α > 1 Active FP γ < 1 No eqm Both policies trying to determine price level; neither stabilizes debt

JOINT MONETARY-FISCAL BEHAVIOR Region Policy Behavior Outcome I Active MP α > 1 Passive FP γ > 1 Unique eqm II Passive MP α < 1 Active FP γ < 1 Unique eqm III Passive MP α < 1 Passive FP γ > 1 Multiple eq IV Active MP α > 1 Active FP γ < 1 No eqm Region I: Standard : Woodford (23), Galí (29) Region II: Non-Standard : Fiscal theory of the price level Quantitative implications of this broader perspective are contained in several of my papers

EXAMPLE OF HOW MONETARY/FISCAL ASSUMPTIONS MATTER Simulate the impacts of American Recovery and Reinvestment Act s plans for government spending Feed ARRA s path for G into new Keynesian model with switching in monetary & fiscal policy rules Trace out model s implied paths for macro variables Draws on Davig & Leeper

US SPENDING STIMULUS: AM/PF % deviation deviation (bp) % deviation % deviation 1.5 Output Gap 1 2 3 4 15 1 5 Inflation 1 2 3 4 4 2 2 1 2 3 4 4 2 Gov Purchases Debt (Level) 2 1 2 3 4 % deviation deviation (bp) % deviation.5 Consumption.5 1 2 3 4 % deviation 4 2 Real Rate 1 2 3 4 Taxes (τ t ) 3 2 1 1 2 3 4 2 2 Primary Surplus 4 1 2 3 4 AM/PF

US SPENDING STIMULUS: PASSIVE MP deviation (bp) % deviation Output Gap 2 1 1 1 2 3 4 Inflation 4 2 2 1 2 3 4 Gov Purchases 4 % deviation % deviation 2 2 1 2 3 4 Debt (Level) 4 2 2 1 2 3 4 % deviation deviation (bp) 1.5 Consumption.5 1 2 3 4 5 5 Real Rate 1 1 2 3 4 Taxes (τ t ) % deviation % deviation 4 2 2 1 2 3 4 2 2 Primary Surplus 4 AM/PF 1 2 3 4 PM/PF

WHEN FISCAL POLICY DOES NOT COOPERATE What if, as inflation begins to rise, the Fed switches to an active stance (from PM/AF)? This is a very real possibility when there is no coordination between MP & FP Get a game of chicken Then there are two unstable relationships: inflation due to the active MP debt due to the active FP In a fixed AM/AF regime, there would be no equilibrium With switching, so long as you are sufficiently far from the fiscal limit, there is a build up of debt And persistently higher inflation because MP has lost control of inflation

THE 29 ARRA: ACTIVE/ACTIVE deviation (bp) % deviation Output Gap 2 1 1 1 2 3 4 Inflation 4 2 2 1 2 3 4 Gov Purchases 4 % deviation % deviation 2 2 1 2 3 4 Debt (Level) 1 5 5 1 2 3 4 % deviation deviation (bp) % deviation 1.5 Consumption.5 1 2 3 4 2 2 Real Rate 4 1 2 3 4 Taxes (τ t ) % deviation 4 2 2 1 2 3 4 5 5 Primary Surplus 1 AM/PF 1 2 3 4 AM/AF PM/PF

NEW MANTRAS Because of Mantra III Inflation is always & everywhere a monetary and fiscal phenomenon... We have a macro policy Mantra IV Monetary and fiscal policy are about managing expectations How do we do this?

INSTITUTIONALLY INCONVENIENT TRUTHS 1. Essential to coordinate monetary & fiscal policies: maybe counterproductive to separate monetary & fiscal decision making 2. Choice of joint monetary-fiscal regime important for impacts of fiscal stimulus: politicized fiscal choices & independent monetary choices unlikely to deliver best results 3. Agents beliefs about current & future policy regimes determine impacts of stimulus: calls for enhanced monetary and fiscal transparency about both current and likely future policies 4. Accurate predictions of policy effects depend on entire future paths of policy choices: regime change should be the default modeling strategy