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Effect of Unconventional Fiscal Policy on Consumption ...

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Page 1: Effect of Unconventional Fiscal Policy on Consumption ...

E�ect of Unconventional Fiscal Policy

on Consumption Expenditure

Francesco D'Acunto

University of Maryland

Daniel Hoang

Karlsruhe Institute of Technology

Michael Weber

University of Chicago and NBER

May 31, 2018

Page 2: Effect of Unconventional Fiscal Policy on Consumption ...

Motivation

�There are forces in the global economy conspiring to hold in�ation down.�

Mario Draghi, February 4 2016

�Fiscal Constraints Await the Next President.�

Wall Street Journal, September 25 2016

Annual in�ation rate Euro area in May 2016: -0.1%

In�ated Central Bank balance sheets and large sovereign debt burdens

Can unconventional �scal policy stimulate in�ation & demand?

Page 3: Effect of Unconventional Fiscal Policy on Consumption ...

Research Question

Higher in�ation expectations → higher consumption?

Monetary policy constrained when zero lower bound (ZLB) binds

Higher in�ation expectations lower real interest rates with binding ZLB

Fiscal multipliers increase with higher in�ation when ZLB binds

But: precautionary savings channel, preference assumptions, in�ation

tax on liquid asset, income e�ects, etc.

In�ation expectations ⇔ consumption (open) empirical question

Page 4: Effect of Unconventional Fiscal Policy on Consumption ...

This Paper

In�ation expectations ⇔ willingness to purchase durables

Identi�cation: Di�erence-in-Di�erences

Novel German household data between Jan 2000 to Dec 2013

Unexpected rise in VAT as shock to in�ation expectations

Match German & foreign households in DiD design

Main �nding

Households expecting higher in�ation more likely to purchase durables

E�ect stronger for more educated, high-income, urban households

Page 5: Effect of Unconventional Fiscal Policy on Consumption ...

Overview of Results: Time-Series Evidence

2005m11

2005m12

2006m1

2006m2

2006m3

2006m4

2006m52006m6

2006m7

2006m8

2006m9 2006m10

2006m11

2006m12

1.6

1.8

22.

22.

4G

ood

time

to b

uy D

urab

les

0 .1 .2 .3 .4 .5Fraction inflation increases

HH with positive in�ation expectations 9% more likely to purchase durables in XS

19% after announcement and before taking e�ect of VAT (11/05 � 12/06): blue dots

Page 6: Effect of Unconventional Fiscal Policy on Consumption ...

Data

Data Sources

European harmonized survey on consumption climate

2,000 representative German households every months

Questions about aggregate and personal economic expectations

Sample period: January 2000 to December 2013

Rich demographics (age, income, marital status, city size, kids, job)

Macro aggregates (unemployment, uncertainty, Dax, interest rates)

Page 7: Effect of Unconventional Fiscal Policy on Consumption ...

Data

Survey Questions I

Question 8

Given the current economic situation, do you think it's a good time to buy

larger items such as furniture, electronic items, etc.?

Answer choices: �it's neither good nor bad time,� �it's bad time,� or �it's a good time.�

Page 8: Effect of Unconventional Fiscal Policy on Consumption ...

Data

Survey Questions II

Question 3

How will consumer prices evolve during the next twelve months compared

to the previous twelve months?

Answer choices: �prices will increase more,� �prices will increase by the same,� �prices

will increase less,� �prices will stay the same,� or �prices will decrease.�

Create a dummy that equals 1 when households answer �prices will increase more.�

Page 9: Effect of Unconventional Fiscal Policy on Consumption ...

Data

In�ation Expectations over time

0

0.1

0.2

0.3

0.4

0.5

12/0

012

/01

12/0

212

/03

12/0

412

/05

12/0

612

/07

12/0

812

/09

12/1

012

/11

12/1

212

/13

FractionInflationIncreases

In�ation expectation start building up beginning of 2006

Spike in December of 2006

Page 10: Effect of Unconventional Fiscal Policy on Consumption ...

Data

Durable In�ation and lagged In�ation Expectations

−2

−1

0

1

2

3

4

5

StandardizedInflation

12/0

112

/02

12/0

312

/04

12/0

512

/06

12/0

712

/08

12/0

912

/10

12/1

112

/12

12/1

3

Standardized Lagged Inflation ExpectationsStandardized Durable Inflation

Increase in CPI in�ation in 2007 driven by durable goods in�ation subject to VAT increase

Lagged in�ation expectations and standardized durable in�ation highly correlated

Page 11: Effect of Unconventional Fiscal Policy on Consumption ...

Data

Readiness to Spend and Real Durable Consumption

−0.1 −0.05 0 0.05 0.1 0.15

−0.1

−0.05

0

0.05

0.1

0.15

Cyclical Purchasing Propensity

CyclicalDurable

Consumption

06Q4

07Q1

y = 0.4152xR2 = 21.46%

Positive correlation between purchasing propensity and actual purchases

Most positive observation in last quarter before VAT increase

Large negative observation in quarter of increase

Page 12: Effect of Unconventional Fiscal Policy on Consumption ...

Econometric Model

Baseline Speci�cation: Multinomial Logit

Assume survey answer is random variable y

De�ne the response probabilities as P(y = t|X )

Assume the distribution of the response probabilities is

P(y = t|X ) =eXβt

1+∑

z=1,2 eXβz

,

Estimate βt via maximum likelihood

Marginal e�ect: derivative of P(y = t|x) with respect to x

Empirically: de�ne �it's neither good nor bad time� as baseline

Page 13: Effect of Unconventional Fiscal Policy on Consumption ...

Empirical Results

Baseline Speci�cation

Marginal E�ects:∂P(y = t|x)

∂x= P(y = t|x)

βtx − ∑z=0,1,2

P(y = z|x)βzx

Good time to buy

In�ation Increase 6.24*** 7.49***

(1.62) (1.52)

Past In�ation -3.42***

(0.28)

N. obs 326,011 321,496

Households which expect in�ation to increase

7% more likely to answer �good time to purchase durables�

Page 14: Effect of Unconventional Fiscal Policy on Consumption ...

Empirical Results

Demographics, Expectations, and Macro Aggregates

HH characteristics shape purchasing propensities (age, income, ...)

Characteristics might be systematically related to in�ation expectations

Economic outlook can a�ect cross-sectional relationship

Optimistic households might expect high growth and low in�ation

Household might be bullish or bearish about the economy

w/ Philips curve in mind: answer high growth and high in�ation

Page 15: Effect of Unconventional Fiscal Policy on Consumption ...

Empirical Results

Control for Demographics, Outlook, and Macro�aggregates

Marginal E�ects:∂P(y = t|x)

∂x= P(y = t|x)

βtx − ∑z=0,1,2

P(y = z|x)βzx

Good time Good time Good time

In�ation increase 7.55*** 8.88*** 8.75***(1.56) (1.60) (1.16)

Past In�ation −3.00*** -2.00*** −1.14***(0.30) (0.35) (0.23)

Demographics X X XIndividual expectations X XMacro Aggregates XNobs 244,497 219,799 219,799

8% more likely to answer �good time to purchase�

Page 16: Effect of Unconventional Fiscal Policy on Consumption ...

Empirical Results

Control for Demographics, Outlook, and Macro�aggregates

Marginal E�ects:∂P(y = t|x)

∂x= P(y = t|x)

βtx − ∑z=0,1,2

P(y = z|x)βzx

Good time Good time Good time

In�ation increase 7.55*** 8.88*** 8.75***(1.56) (1.60) (1.16)

Past In�ation −3.00*** -2.00*** −1.14***(0.30) (0.35) (0.23)

Demographics X X XIndividual expectations X XMacro Aggregates XPseudo R2 0.0292 0.0654 0.0762Nobs 244,497 219,799 219,799

9% more likely to answer �good time to purchase�

Page 17: Effect of Unconventional Fiscal Policy on Consumption ...

Empirical Results

Control for Demographics, Outlook, and Macro�aggregates

Marginal E�ects:∂P(y = t|x)

∂x= P(y = t|x)

βtx − ∑z=0,1,2

P(y = z|x)βzx

Good time Good time Good time

In�ation increase 7.55*** 8.88*** 8.75***(1.56) (1.60) (1.16)

Past In�ation −3.00*** -2.00*** −1.14***(0.30) (0.35) (0.23)

Demographics X X XIndividual expectations X XMacro Aggregates XNobs 244,497 219,799 219,799

9% more likely to answer �good time to purchase�

Page 18: Effect of Unconventional Fiscal Policy on Consumption ...

Empirical Results

Household Heterogeneity

E�ect of in�ation expectations on willingness to spend higher for

More educated households by Education

High income households by Income

Urban households by City Size

Unconstrained households by Financial Constraints

Page 19: Effect of Unconventional Fiscal Policy on Consumption ...

Empirical Results

Exogenous Shock to In�ation Expectations

Still cannot rule out movements along the supply curve

Ideal experiment: shock to in�ation expectations that does not a�ect

households' willingness to purchase durables through channels

di�erent from expectations of rising prices

Follow narrative approach of Romer & Romer (2010), Ramey (2011)

⇒ Unexpected increase in value-added tax (VAT)

Page 20: Effect of Unconventional Fiscal Policy on Consumption ...

Empirical Results

VAT Experiment of 2007 I

Pre-election 2005: promise not to increase VAT

Nov 2005: new government announces increase in VAT by 3%

Jan 2007: entry into force of VAT increase

VAT increase legislated to consolidate budget

Not related to prospective economic conditions

Exogenous tax change acc to Romer and Romer nomenclature

Page 21: Effect of Unconventional Fiscal Policy on Consumption ...

Empirical Results

VAT Experiment of 2007 II

In�ation expectations build up during 2006

Germany part of Euro zone and no independent monetary policy

Nominal rate did not increase to o�set in�ation expectations

Experiment resembles unconventional �scal policy described in

Correira, Fahri, Nicolini, Teles (2013)

Feldstein (2002) proposition for Japan: Pre-announced VAT increases

Stimulate in�ation expectations & private spending

Page 22: Effect of Unconventional Fiscal Policy on Consumption ...

Empirical Results

VAT as Shock to In�ation Expectations

12/0

012

/01

12/0

212

/03

12/0

412

/05

12/0

612

/07

12/0

812

/09

12/1

012

/11

12/1

212

/13

Fra

ctio

nIn.ati

on

Incr

ease

s

0

0.1

0.2

0.3

0.4

0.5

Announcement Increase

In�ation expectation start building up beginning of 2006

Spike in December of 2006

Page 23: Effect of Unconventional Fiscal Policy on Consumption ...

Empirical Results

Di�erence-in-Di�erences Matching Estimator

All Germans treated by VAT shocks

Micro data for France, UK, Sweden from EU harmonized survey

Match German & foreign households with nearest-neighbor algorithm

Matching categories: gender, age, education, income, social status

Estimate Average Treatment E�ect of VAT shock:

(DurGerman,post − DurGerman,pre)− (Dur foreign,post − Dur foreign,pre)

Page 24: Effect of Unconventional Fiscal Policy on Consumption ...

Empirical Results

Parallel-Trends Identifying Assumption I

Control group behaves similarly to Germans before VAT shock

Behavior of control group after shock how Germans behaved absent of it

Page 25: Effect of Unconventional Fiscal Policy on Consumption ...

Empirical Results

Parallel-Trends Identifying Assumption II

03/0

406

/04

09/0

412

/04

03/0

506

/05

09/0

512

/05

03/0

606

/06

09/0

6

Fra

ctio

nIn.ati

on

Incr

ease

s

0

0.1

0.2

0.3

0.4

0.5

0.6

AnnouncementGermanyEuropean Countries

Parallel trends in in�ation expectations before the announcement of the VAT increase

Page 26: Effect of Unconventional Fiscal Policy on Consumption ...

Empirical Results

Parallel-Trends Identifying Assumption III

03/0

406

/04

09/0

412

/04

03/0

506

/05

09/0

512

/05

03/0

606

/06

09/0

6

Good

Tim

eto

Buy

Dura

ble

s

1

1.5

2

2.5

3

AnnouncementGermanyEuropean Countries

Parallel trends in durable propensity before the announcement of the VAT increase

Page 27: Effect of Unconventional Fiscal Policy on Consumption ...

Empirical Results

Further Identifying Assumptions

Balanced households' characteristics after matching (√)

Treated and control households distributed across full distribution (√)

Positive e�ect of in�ation expectations on consumption expenditure at

micro level for all countries (√)

Page 28: Effect of Unconventional Fiscal Policy on Consumption ...

Empirical Results

Further Identifying Assumptions

Balanced households' characteristics after matching (√)

Balance

Treated and control households distributed across full distribution (√)

Positive e�ect of in�ation expectations on consumption expenditure at

micro level for all countries (√)

Page 29: Effect of Unconventional Fiscal Policy on Consumption ...

Empirical Results

Further Identifying Assumptions

Balanced households' characteristics after matching (√)

Balance

Treated and control households distributed across full distribution (√)

Support

Positive e�ect of in�ation expectations on consumption expenditure at

micro level for all countries (√)

Page 30: Effect of Unconventional Fiscal Policy on Consumption ...

Empirical Results

Further Identifying Assumptions

Balanced households' characteristics after matching (√)

Balance

Treated and control households distributed across full distribution (√)

Support

Positive e�ect of in�ation expectations on consumption expenditure at

micro level for all countries (√)

Foreign Baseline

Page 31: Effect of Unconventional Fiscal Policy on Consumption ...

Empirical Results

Average Treatment E�ect of VAT shock

(DurGerman,post − DurGerman,pre)− (Dur foreign,post − Dur foreign,pre)

09/0

512

/05

03/0

606

/06

09/0

612

/06

03/0

706

/07

09/0

7

Avera

ge

Tre

atm

ent

E,ect

-0.1

-0.05

0

0.05

0.1

0.15

0.2

0.25

0.3

0.35

0.4

Average Treatment Effect Over TimeTwo-Standard Error Bounds

German and foreign households behave similarly before shock

Immediate increase of purchasing behavior of Germans after shock

E�ect builds up during 2006

Reversion to normal after actual VAT increase

Page 32: Effect of Unconventional Fiscal Policy on Consumption ...

Empirical Results

Matched Sample: Robustness

France, UK, Sweden all part of Europe

Larger set of households guarantees better balancing

But UK and Sweden not part of European Monetary Union

Replicate results for French households only

Page 33: Effect of Unconventional Fiscal Policy on Consumption ...

Empirical Results

Parallel-Trends Identifying Assumption: France I

03/0

4

06/0

4

09/0

4

12/0

4

03/0

5

06/0

5

09/0

5

12/0

5

03/0

6

06/0

6

09/0

6

Fra

cti

on

In.ati

on

Incre

ase

s

0

0.1

0.2

0.3

0.4

0.5

0.6

AnnouncementGermanyFrance

Parallel trends in in�ation expectations before the announcement of the VAT increase

Page 34: Effect of Unconventional Fiscal Policy on Consumption ...

Empirical Results

Parallel-Trends Identifying Assumption: France II

03/0

4

06/0

4

09/0

4

12/0

4

03/0

5

06/0

5

09/0

5

12/0

5

03/0

6

06/0

6

09/0

6

Good

Tim

eto

Buy

Dura

ble

s

1

1.5

2

2.5

3

AnnouncementGermanyFrance

Parallel trends in durable propensity before the announcement of the VAT increase

Page 35: Effect of Unconventional Fiscal Policy on Consumption ...

Empirical Results

General Equilibrium E�ects

VAT change could a�ect purchasing decision through other channels

Consumer con�dence

Crowding out

Redistribution channel

Financial constraints

Home-equity extration

Political uncertainty

But: tax increase regressive

Other channels should operate via income perception or expectations

Page 36: Effect of Unconventional Fiscal Policy on Consumption ...

Empirical Results

Other Household Expectations

03/0

4

06/0

4

09/0

4

12/0

4

03/0

5

06/0

5

09/0

5

12/0

5

03/0

6

06/0

6

09/0

6

House

hold

Expecta

tions

0

0.1

0.2

0.3

0.4

0.5

0.6

Announcement

Inflation ExpectationsIncome PerceptionIncome Expectations

Income perceptions and expectations do not change after the announcement

Page 37: Effect of Unconventional Fiscal Policy on Consumption ...

Empirical Results

Intratemporal Substitution

Policy makers concerned with stimulating overall consumption

Survey only asks about purchasing intentions of larger items

VAT mainly a�ects durable goods

Households might substitute from non-durables to durables

Page 38: Effect of Unconventional Fiscal Policy on Consumption ...

Empirical Results

Real Aggregate Consumption Growth

−15%

0%

15%RealDurable

Consum

ptio

nG

rowth

Announcement Increase

−5%

0%

5%

00Q1

01Q1

02Q1

03Q1

04Q1

05Q1

06Q1

07Q1

08Q1

09Q1

10Q1

11Q1

12Q1

13Q1

RealN

on-Durable

Consum

ptio

nG

rowth

Durable ConsumptionNon−durable Consumption

Both real nondurable and durable consumption growth increase

Average savings propensity decreases

Page 39: Effect of Unconventional Fiscal Policy on Consumption ...

Empirical Results

Taking Stock

Unconventional �scal policy is salient, easy to understand

Reaction across cuts of the data by income, education, age, etc

But: low reaction to �complex� policies: e.g., forward guidance puzzle

Do cognitive abilities limit the e�ectiveness of economic policies?

D'Acunto, Hoang, Paloviita, Weber (2018):

Human Frictions to the Transmission of Economic Policies

Page 40: Effect of Unconventional Fiscal Policy on Consumption ...

Empirical Results

Mean Absolute Forecast Error by IQ

22.

53

3.5

44.

55

Mea

n Ab

solu

te F

orec

ast E

rror

0 2 4 6 8 10Normalized IQ

Absolute forecast errors twice as large for low IQ men than for high IQ men

Monotonic relationship btw absolute forecast error and IQ

Page 41: Effect of Unconventional Fiscal Policy on Consumption ...

Empirical Results

ECB Deposit Facility Rate: Beginning of Quarter

12

34

Dep

osit

Faci

lity

Rat

e

2.4

2.6

2.8

33.

2

01jan2001 01jul2002 01jan2004 01jul2005 01jan2007

Until end of 2001: rate falls from 3.75% to 2.25%

Trough of 1% in June 2003

December 2005 rates start to increase; 2.5% end of 2006

Page 42: Effect of Unconventional Fiscal Policy on Consumption ...

Empirical Results

Propensity to take out Loan: High IQ

12

34

Dep

osit

Faci

lity

Rat

e

2.4

2.6

2.8

33.

2Av

erag

e Pr

open

sity

Loa

n

01jan2001 01jul2002 01jan2004 01jul2005 01jan2007

Early 2001: average propensity to take out loans is about 2.5

2001-2003: rates fall and propensities increase to more than 3

Until mid-2005: rates and propensities �at

2005-2007: rates increase, propensities fall

Page 43: Effect of Unconventional Fiscal Policy on Consumption ...

Empirical Results

Propensity to take out Loan: Low IQ

12

34

Dep

osit

Faci

lity

Rat

e

2.4

2.6

2.8

33.

2Av

erag

e Pr

open

sity

Loa

n

01jan2001 01jul2002 01jan2004 01jul2005 01jan2007

Early 2001: average propensity to take out loans of around 2.6

2011-2007: propensities �at, hover around 2.8

Page 44: Effect of Unconventional Fiscal Policy on Consumption ...

Empirical Results

Conclusion

Households expecting higher in�ation want to purchase more durables

Discretionary �scal policy in recessions: series of pre-announced VAT

increases and a simultaneous reduction in income tax rates

Large e�ect across households

Scope for increased economic literacy, policy transparency, & salience

Page 45: Effect of Unconventional Fiscal Policy on Consumption ...

Appendix

Balancing of Variables: German and Foreign Households

Variable Mean Control Mean Treated t-stat p-value

Age 2.33 2.30 1.01 0.31

Male 0.47 0.47 0.22 0.82

Education 1.77 1.81 -1.15 0.25

Income 2.31 2.28 0.8 0.42

Social Status 2.60 2.61 -0.37 0.71

Obs in common support 5,108 1,431

back

Page 46: Effect of Unconventional Fiscal Policy on Consumption ...

Appendix

Balancing of Variables: German and Foreign Households

0 .2 .4 .6 .8Propensity Score

Untreated Treated

back

Page 47: Effect of Unconventional Fiscal Policy on Consumption ...

Appendix

Baseline Speci�cation Foreign Households

France Sweden UK

(1) (2) (3)

In�ation Increase 2.65∗∗∗ 3.81∗∗∗ 4.65∗∗∗(0.37) (0.53) (0.61)

Past In�ation −1.63∗∗∗ −3.15∗∗∗ −0.61(0.15) (0.55) (0.19)

Demographics X X X

Individual expectations X X X

Nobs 163,419 176,829 113,774

Standard errors in parentheses

∗p < 0.10, ∗ ∗ p < 0.05, ∗ ∗ ∗p < 0.01

back

Page 48: Effect of Unconventional Fiscal Policy on Consumption ...

Appendix

Baseline Speci�cation by Education

Marginal E�ects:∂P(y = t|x)

∂x= P(y = t|x)

βtx − ∑z=0,1,2

P(y = z|x)βzx

Hauptschule Realschule Gymnasium University

Bad time Good time Bad time Good time Bad time Good time Bad time Good time

(1) (2) (3) (4) (5) (6) (7) (8)

In�ation increase 1.08 6.89∗∗∗ 1.17 9.85∗∗∗ −3.42∗∗∗ 9.79∗∗∗ −3.87∗∗∗ 11.28∗∗∗(1.05) (1.52) (0.80) (1.62) (1.18) (2.25) (0.80) (1.88)

Past In�ation 4.14∗∗∗ −1.94∗∗∗ 3.73∗∗∗ −1.88∗∗∗ 3.19∗∗∗ −2.64∗∗∗ 2.52∗∗∗ −2.14∗∗∗(0.34) (0.32) (0.34) (0.38) (0.47) (0.48) (0.45) (0.57)

Demographics X X X X X X X X

Individual expectations X X X X X X X X

Nobs 89,991 88,315 23,282 18,211

back

Page 49: Effect of Unconventional Fiscal Policy on Consumption ...

Appendix

Baseline Speci�cation by Income

Marginal E�ects:∂P(y = t|x)

∂x= P(y = t|x)

βtx − ∑z=0,1,2

P(y = z|x)βzx

Income ≤ 1,000 1,000 < Income ≤ 2,500 2,500 < Income

Bad time Good time Bad time Good time Bad time Good time

(1) (2) (3) (4) (5) (6)

In�ation increase −0.99 8.98∗∗∗ −0.55 8.51∗∗∗ −1.09 10.48∗∗∗(1.05) (1.68) (0.78) (1.51) (0.77) (2.03)

Past In�ation 4.23∗∗∗ −1.94∗∗∗ 3.51∗∗∗ −1.92∗∗∗ 2.77∗∗∗ −2.99∗∗∗(0.36) (0.37) (0.32) (0.36) (0.43) (0.45)

Demographics X X X X X X

Individual expectations X X X X X X

Nobs 96,555 112,710 16,477

back

Page 50: Effect of Unconventional Fiscal Policy on Consumption ...

Appendix

Baseline Speci�cation by City Size

Marginal E�ects:∂P(y = t|x)

∂x= P(y = t|x)

βtx − ∑z=0,1,2

P(y = z|x)βzx

City ≤ 2T 2T < City ≤ 20T 20T < City ≤ 100T 100T < City

Bad time Good time Bad time Good time Bad time Good time Bad time Good time

(1) (2) (3) (4) (5) (6) (7) (8)

In�ation increase −1.23 5.81∗∗∗ 0.18 8.47∗∗∗ 0.02 8.54∗∗∗ −2.44∗∗∗ 10.13∗∗∗(1.32) (1.99) (0.86) (1.51) (1.02) (2.17) (0.92) (1.33)

Past In�ation 4.14∗∗∗ −1.96∗∗∗ 2.98∗∗∗ −1.87∗∗∗ 4.14∗∗∗ −2.64∗∗∗ 4.15∗∗∗ −1.77∗∗∗(0.52) (0.55) (0.36) (0.34) (0.37) (0.38) (0.40) (0.42)

Demographics X X X X X X X X

Individual expectations X X X X X X X X

Nobs 17,833 74,937 59,674 67,355

Standard errors in parentheses

∗p < 0.10, ∗ ∗ p < 0.05, ∗ ∗ ∗p < 0.01

back

Page 51: Effect of Unconventional Fiscal Policy on Consumption ...

Appendix

Baseline Speci�cation by Financial Constraints

Marginal E�ects:∂P(y = t|x)

∂x= P(y = t|x)

βtx − ∑z=0,1,2

P(y = z|x)βzx

Unconstrained Constrained

Bad time Good time Bad time Good time

(1) (2) (3) (4)

In�ation Increase −0.57 10.42∗∗∗ −1.05 7.47∗∗∗(0.66) (1.80) (1.01) (1.46)

Past In�ation 3.45∗∗∗ −2.50∗∗∗ 3.88∗∗∗ −1.59∗∗∗(0.27) (0.38) (0.40) (0.35)

Nobs 98,344 121,455

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