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(1)

Understanding the Great Recession

Lawrence Christiano Martin Eichenbaum Mathias Trabandt

$&'0TMP

.

(2)

Background

• GDP appears to have su§ered a permanent (10%?) fall since 2008.

• Trend decline in labor force participation accelerated after the

‘end’ of the recession in 2009.

• Unemployment rate persistently high

— recent fall primarily reflects the fall in labor force participation.

• Employment to population ratio fell sharply with little evidence of recovery.

• Vacancies have risen, but unemployment has fallen relatively little (‘shift in Beveridge curve’, ‘mismatch’).

• Investment and consumption persistently low.

(3)

Background

• GDP appears to have su§ered a permanent (10%?) fall since 2008.

• Trend decline in labor force participation accelerated after the

‘end’ of the recession in 2009.

• Unemployment rate persistently high

— recent fall primarily reflects the fall in labor force participation.

• Employment to population ratio fell sharply with little evidence of recovery.

• Vacancies have risen, but unemployment has fallen relatively little (‘shift in Beveridge curve’, ‘mismatch’).

• Investment and consumption persistently low.

(4)

Background

• GDP appears to have su§ered a permanent (10%?) fall since 2008.

• Trend decline in labor force participation accelerated after the

‘end’ of the recession in 2009.

• Unemployment rate persistently high

— recent fall primarily reflects the fall in labor force participation.

• Employment to population ratio fell sharply with little evidence of recovery.

• Vacancies have risen, but unemployment has fallen relatively little (‘shift in Beveridge curve’, ‘mismatch’).

• Investment and consumption persistently low.

(5)

Background

• GDP appears to have su§ered a permanent (10%?) fall since 2008.

• Trend decline in labor force participation accelerated after the

‘end’ of the recession in 2009.

• Unemployment rate persistently high

— recent fall primarily reflects the fall in labor force participation.

• Employment to population ratio fell sharply with little evidence of recovery.

• Vacancies have risen, but unemployment has fallen relatively little (‘shift in Beveridge curve’, ‘mismatch’).

• Investment and consumption persistently low.

(6)

Background

• GDP appears to have su§ered a permanent (10%?) fall since 2008.

• Trend decline in labor force participation accelerated after the

‘end’ of the recession in 2009.

• Unemployment rate persistently high

— recent fall primarily reflects the fall in labor force participation.

• Employment to population ratio fell sharply with little evidence of recovery.

• Vacancies have risen, but unemployment has fallen relatively little (‘shift in Beveridge curve’, ‘mismatch’).

• Investment and consumption persistently low.

(7)

Background

• GDP appears to have su§ered a permanent (10%?) fall since 2008.

• Trend decline in labor force participation accelerated after the

‘end’ of the recession in 2009.

• Unemployment rate persistently high

— recent fall primarily reflects the fall in labor force participation.

• Employment to population ratio fell sharply with little evidence of recovery.

• Vacancies have risen, but unemployment has fallen relatively little (‘shift in Beveridge curve’, ‘mismatch’).

• Investment and consumption persistently low.

(8)

Background

• GDP appears to have su§ered a permanent (10%?) fall since 2008.

• Trend decline in labor force participation accelerated after the

‘end’ of the recession in 2009.

• Unemployment rate persistently high

— recent fall primarily reflects the fall in labor force participation.

• Employment to population ratio fell sharply with little evidence of recovery.

• Vacancies have risen, but unemployment has fallen relatively little (‘shift in Beveridge curve’, ‘mismatch’).

• Investment and consumption persistently low.

(9)

Questions

• What were the key forces driving U.S. economy during the Great Recession?

• Mismatch in the labor market?

• Why was the drop in inflation so moderate?

(10)

Questions

• What were the key forces driving U.S. economy during the Great Recession?

• Mismatch in the labor market?

• Why was the drop in inflation so moderate?

(11)

Questions

• What were the key forces driving U.S. economy during the Great Recession?

• Mismatch in the labor market?

• Why was the drop in inflation so moderate?

(12)

To answer our questions we need a model

• Model must provide empirically plausible account of key macroeconomic aggregates

— employment, vacancies, LFPR, job finding rate, unemployment rate, real wages

— output, consumption, investment, ..

• Novel features of labor market

— Endogenize labor force participation.

— Derive wage inertia as an equilibrium outcome.

• Estimate model using pre-2008 data.

• Use estimated model to analyze post-2008 data.

(13)

To answer our questions we need a model

• Model must provide empirically plausible account of key macroeconomic aggregates

— employment, vacancies, LFPR, job finding rate, unemployment rate, real wages

— output, consumption, investment, ..

• Novel features of labor market

— Endogenize labor force participation.

— Derive wage inertia as an equilibrium outcome.

• Estimate model using pre-2008 data.

• Use estimated model to analyze post-2008 data.

(14)

To answer our questions we need a model

• Model must provide empirically plausible account of key macroeconomic aggregates

— employment, vacancies, LFPR, job finding rate, unemployment rate, real wages

— output, consumption, investment, ..

• Novel features of labor market

— Endogenize labor force participation.

— Derive wage inertia as an equilibrium outcome.

• Estimate model using pre-2008 data.

• Use estimated model to analyze post-2008 data.

(15)

Questions and Answers

• What forces drove real quantities in the Great Recession?

— Shocks to financial markets were the key drivers, even for variables like labor force participation.

• Consumption wedge

— perturbation to agents’ intertemporal Euler equation that makes them want to accumulate the risk-free asset.

• Financial wedge

— motivated by sharp increase in credit spreads observed in post-2008 period.

— perturbation to households’ first order condition for optimal capital accumulation.

(16)

Questions and Answers

• What forces drove real quantities in the Great Recession?

— Shocks to financial markets were the key drivers, even for variables like labor force participation.

• Consumption wedge

— perturbation to agents’ intertemporal Euler equation that makes them want to accumulate the risk-free asset.

• Financial wedge

— motivated by sharp increase in credit spreads observed in post-2008 period.

— perturbation to households’ first order condition for optimal capital accumulation.

(17)

Questions and Answers

• What forces drove real quantities in the Great Recession?

— Shocks to financial markets were the key drivers, even for variables like labor force participation.

• Consumption wedge

— perturbation to agents’ intertemporal Euler equation that makes them want to accumulate the risk-free asset.

• Financial wedge

— motivated by sharp increase in credit spreads observed in post-2008 period.

— perturbation to households’ first order condition for optimal capital accumulation.

(18)

Questions and Answers

• Mismatch in the labor market?

— Not a first order feature of the Great Recession.

— We account for ‘shift’ in the Beveridge curve, without resorting to structural shifts in the labor market.

• Rise in government consumption associated with ARRA had peak multiplier e§ect in excess of 2.

• But overall e§ect was small because of size and timing of spending.

(19)

Questions and Answers

• Mismatch in the labor market?

— Not a first order feature of the Great Recession.

— We account for ‘shift’ in the Beveridge curve, without resorting to structural shifts in the labor market.

• Rise in government consumption associated with ARRA had peak multiplier e§ect in excess of 2.

• But overall e§ect was small because of size and timing of spending.

(20)

Questions and Answers

• Mismatch in the labor market?

— Not a first order feature of the Great Recession.

— We account for ‘shift’ in the Beveridge curve, without resorting to structural shifts in the labor market.

• Rise in government consumption associated with ARRA had peak multiplier e§ect in excess of 2.

• But overall e§ect was small because of size and timing of spending.

(21)

Questions and Answers

• Mismatch in the labor market?

— Not a first order feature of the Great Recession.

— We account for ‘shift’ in the Beveridge curve, without resorting to structural shifts in the labor market.

• Rise in government consumption associated with ARRA had peak multiplier e§ect in excess of 2.

• But overall e§ect was small because of size and timing of spending.

(22)

Questions and Answers

• Mismatch in the labor market?

— Not a first order feature of the Great Recession.

— We account for ‘shift’ in the Beveridge curve, without resorting to structural shifts in the labor market.

• Rise in government consumption associated with ARRA had peak multiplier e§ect in excess of 2.

• But overall e§ect was small because of size and timing of spending.

(23)

Questions and Answers

• Why was the drop in inflation so moderate?

— Prolonged slowdown in TFP growth during the Great Recession.

— Rise in cost of firms’ working capital as measured by spread between corporate-borrowing rate, risk-free interest rate.

(24)

Questions and Answers

• Why was the drop in inflation so moderate?

— Prolonged slowdown in TFP growth during the Great Recession.

— Rise in cost of firms’ working capital as measured by spread between corporate-borrowing rate, risk-free interest rate.

(25)

Questions and Answers

• Why was the drop in inflation so moderate?

— Prolonged slowdown in TFP growth during the Great Recession.

— Rise in cost of firms’ working capital as measured by spread between corporate-borrowing rate, risk-free interest rate.

(26)

Labor Market

(27)

Labor Market

Employment*

E*

Non,par/cipa/on*

Unemployment* N*

U*

(28)

Labor Market

Employment*

E*

Non,par/cipa/on*

Unemployment* N*

U*

,Household*labor*force*decision*

,Split*between*U*and*E*determined*by*job,finding*rate.*

2.2. Household Maximization

Members of the household derive utility from a market consumption good and a good pro- duced at home. The home good is produced using labor of individuals who arenít in the labor force and unemployed individuals:

CtH=Ht (1Lt)1cH(Ltlt)cH F(Lt; Lt1;Lt) (2.6) The term F(Lt; Lt1;Lt)captures the idea that is costly to change the number of people who specialize in home production,

F(Lt; Lt1;Lt) = 0:5LtL(Lt=Lt11)2Lt: (2.7) We assumecH <1cH;so that in steady state the unemployed contribute less to home production than do people who are out of the labor force. Finally,Ht andLt are processes that ensure balanced growth. We discuss these processes in detail below.

Because workers experience no disutility from working, they supply their labor inelasti- cally. An employed worker brings home the wages that it earns. Unemployed workers re- ceives government-provided unemployment compensation which they give to the household.

Unemployment beneÖts are Önanced by lump-sum taxes paid by the household. Workers maximize their expected income. By the law of large numbers, this strategy maximizes the total income of the household. Workers maximize expected income in exchange for perfect consumption insurance from the household. All workers have the same concave preferences over consumption. So the optimal insurance arrangement involves allocating the same level of the market good and the home good to all members of the household.

The representative household maximizes the objective function:

E0

X1 t=0

tU( ~Ct); (2.8)

where

U( ~C) = C~11

1 ; (2.9)

and

C~t=

(1!)

CtbCt1

+!

CtHbCtH11 :

Here,Ct andCtH denote market consumption and the consumption of a good produced at home. The parameter,;governs the substitutability betweenCtandCtH:In the next draft of the paper we will report results for other values of. The parameterbcontrols the degree of habit formation in household preferences. We assume0b <1:A bar over a variable indicates its economy-wide average value.

5 C~t=h

(1!!) (Ct)"+!"

CtH#"i!1

1

(29)

Labor Market

Employment*

E*

Non,par/cipa/on*

Unemployment* N*

U*

Bargaining*

Three*types*of*worker,firm*mee/ngs:*

*i)*E*to*E*,*ii)*U*to*E,*iii)*N*to*E**

(30)

Modified version of Hall-Milgrom

• Firms pay a fixed cost to meet a worker (must post vacancies, but these are costless).

• Then, workers and firms engage in alternating-o§er bargaining.

— Better o§reaching agreement than parting ways.

— Disagreement leads to continued negotiations.

• If bargaining costs don’t depend too sensitively on state of economy, neither will wages.

— firms su§er cost,g, when they reject an o§er by the worker and make a countero§er.

— costs somewhat sensitive to state of business cycle:

protracted negotiations mean lost output/wages.

rejection of an o§er risks, with probabilityd,that negotiations break down completely.

• After expansionary shock, rise in wages is relatively small.

(31)

Modified version of Hall-Milgrom

• Firms pay a fixed cost to meet a worker (must post vacancies, but these are costless).

• Then, workers and firms engage in alternating-o§er bargaining.

— Better o§reaching agreement than parting ways.

— Disagreement leads to continued negotiations.

• If bargaining costs don’t depend too sensitively on state of economy, neither will wages.

— firms su§er cost,g, when they reject an o§er by the worker and make a countero§er.

— costs somewhat sensitive to state of business cycle:

protracted negotiations mean lost output/wages.

rejection of an o§er risks, with probabilityd,that negotiations break down completely.

• After expansionary shock, rise in wages is relatively small.

(32)

Modified version of Hall-Milgrom

• Firms pay a fixed cost to meet a worker (must post vacancies, but these are costless).

• Then, workers and firms engage in alternating-o§er bargaining.

— Better o§reaching agreement than parting ways.

— Disagreement leads to continued negotiations.

• If bargaining costs don’t depend too sensitively on state of economy, neither will wages.

— firms su§er cost,g, when they reject an o§er by the worker and make a countero§er.

— costs somewhat sensitive to state of business cycle:

protracted negotiations mean lost output/wages.

rejection of an o§er risks, with probabilityd,that negotiations break down completely.

• After expansionary shock, rise in wages is relatively small.

(33)

Modified version of Hall-Milgrom

• Firms pay a fixed cost to meet a worker (must post vacancies, but these are costless).

• Then, workers and firms engage in alternating-o§er bargaining.

— Better o§reaching agreement than parting ways.

— Disagreement leads to continued negotiations.

• If bargaining costs don’t depend too sensitively on state of economy, neither will wages.

— firms su§er cost,g, when they reject an o§er by the worker and make a countero§er.

— costs somewhat sensitive to state of business cycle:

protracted negotiations mean lost output/wages.

rejection of an o§er risks, with probabilityd,that negotiations break down completely.

• After expansionary shock, rise in wages is relatively small.

(34)

Modified version of Hall-Milgrom

• Firms pay a fixed cost to meet a worker (must post vacancies, but these are costless).

• Then, workers and firms engage in alternating-o§er bargaining.

— Better o§reaching agreement than parting ways.

— Disagreement leads to continued negotiations.

• If bargaining costs don’t depend too sensitively on state of economy, neither will wages.

— firms su§er cost,g, when they reject an o§er by the worker and make a countero§er.

— costs somewhat sensitive to state of business cycle:

protracted negotiations mean lost output/wages.

rejection of an o§er risks, with probabilityd,that negotiations break down completely.

• After expansionary shock, rise in wages is relatively small.

(35)

Modified version of Hall-Milgrom

• Firms pay a fixed cost to meet a worker (must post vacancies, but these are costless).

• Then, workers and firms engage in alternating-o§er bargaining.

— Better o§reaching agreement than parting ways.

— Disagreement leads to continued negotiations.

• If bargaining costs don’t depend too sensitively on state of economy, neither will wages.

— firms su§er cost,g, when they reject an o§er by the worker and make a countero§er.

— costs somewhat sensitive to state of business cycle:

protracted negotiations mean lost output/wages.

rejection of an o§er risks, with probabilityd,that negotiations break down completely.

• After expansionary shock, rise in wages is relatively small.

(36)

Modified version of Hall-Milgrom

• Firms pay a fixed cost to meet a worker (must post vacancies, but these are costless).

• Then, workers and firms engage in alternating-o§er bargaining.

— Better o§reaching agreement than parting ways.

— Disagreement leads to continued negotiations.

• If bargaining costs don’t depend too sensitively on state of economy, neither will wages.

— firms su§er cost,g, when they reject an o§er by the worker and make a countero§er.

— costs somewhat sensitive to state of business cycle:

protracted negotiations mean lost output/wages.

rejection of an o§er risks, with probabilityd,that negotiations break down completely.

• After expansionary shock, rise in wages is relatively small.

(37)

Modified version of Hall-Milgrom

• Firms pay a fixed cost to meet a worker (must post vacancies, but these are costless).

• Then, workers and firms engage in alternating-o§er bargaining.

— Better o§reaching agreement than parting ways.

— Disagreement leads to continued negotiations.

• If bargaining costs don’t depend too sensitively on state of economy, neither will wages.

— firms su§er cost,g, when they reject an o§er by the worker and make a countero§er.

— costs somewhat sensitive to state of business cycle:

protracted negotiations mean lost output/wages.

rejection of an o§er risks, with probabilityd,that negotiations break down completely.

• After expansionary shock, rise in wages is relatively small.

(38)

Modified version of Hall-Milgrom

• Firms pay a fixed cost to meet a worker (must post vacancies, but these are costless).

• Then, workers and firms engage in alternating-o§er bargaining.

— Better o§reaching agreement than parting ways.

— Disagreement leads to continued negotiations.

• If bargaining costs don’t depend too sensitively on state of economy, neither will wages.

— firms su§er cost,g, when they reject an o§er by the worker and make a countero§er.

— costs somewhat sensitive to state of business cycle:

protracted negotiations mean lost output/wages.

rejection of an o§er risks, with probabilityd,that negotiations break down completely.

• After expansionary shock, rise in wages is relatively small.

(39)

Rest of Model: Medium-Sized DSGE

• Competitive final goods production: Yt = 2 4 Z1 0

Y

1 lf

j,tdj 3 5

lf

.

• jth input produced by monopolist:

— Production:Yj,t =kaj,t&

zthj,t'1a

f.

— Homogeneous good,hj,t, purchased in competitive markets for real price,Jt.

— Retailers prices subject to Calvo sticky price frictions (no price indexation).

• Homogeneous input good ht produced by the firms in our labor market model.

• Taylor rule.

(40)

Rest of Model: Medium-Sized DSGE

• Competitive final goods production: Yt = 2 4 Z1 0

Y

1 lf

j,tdj 3 5

lf

.

• jth input produced by monopolist:

— Production:Yj,t =kaj,t&

zthj,t'1a

f.

— Homogeneous good,hj,t, purchased in competitive markets for real price,Jt.

— Retailers prices subject to Calvo sticky price frictions (no price indexation).

• Homogeneous input good ht produced by the firms in our labor market model.

• Taylor rule.

(41)

Rest of Model: Medium-Sized DSGE

• Competitive final goods production: Yt = 2 4 Z1 0

Y

1 lf

j,tdj 3 5

lf

.

• jth input produced by monopolist:

— Production:Yj,t =kaj,t&

zthj,t'1a

f.

— Homogeneous good,hj,t, purchased in competitive markets for real price,Jt.

— Retailers prices subject to Calvo sticky price frictions (no price indexation).

• Homogeneous input good ht produced by the firms in our labor market model.

• Taylor rule.

(42)

Rest of Model: Medium-Sized DSGE

• Competitive final goods production: Yt = 2 4 Z1 0

Y

1 lf

j,tdj 3 5

lf

.

• jth input produced by monopolist:

— Production: Yj,t=kaj,t&

zthj,t'1a

f.

— Homogeneous good,hj,t, purchased in competitive markets for real price,Jt.

— Retailers prices subject to Calvo sticky price frictions (no price indexation).

• Homogeneous input good ht produced by the firms in our labor market model.

• Taylor rule.

(43)

Rest of Model: Medium-Sized DSGE

• Competitive final goods production: Yt = 2 4 Z1 0

Y

1 lf

j,tdj 3 5

lf

.

• jth input produced by monopolist:

— Production: Yj,t=kaj,t&

zthj,t'1a

f.

— Homogeneous good,hj,t, purchased in competitive markets for real price,Jt.

— Retailers prices subject to Calvo sticky price frictions (no price indexation).

• Homogeneous input good ht produced by the firms in our labor market model.

• Taylor rule.

(44)

Rest of Model: Medium-Sized DSGE

• Competitive final goods production: Yt = 2 4 Z1 0

Y

1 lf

j,tdj 3 5

lf

.

• jth input produced by monopolist:

— Production: Yj,t=kaj,t&

zthj,t'1a

f.

— Homogeneous good,hj,t, purchased in competitive markets for real price,Jt.

— Retailers prices subject to Calvo sticky price frictions (no price indexation).

• Homogeneous input good ht produced by the firms in our labor market model.

• Taylor rule.

(45)

Rest of Model: Medium-Sized DSGE

• Competitive final goods production: Yt = 2 4 Z1 0

Y

1 lf

j,tdj 3 5

lf

.

• jth input produced by monopolist:

— Production: Yj,t=kaj,t&

zthj,t'1a

f.

— Homogeneous good, hj,t, purchased in competitive markets for real price, Jt.

— Retailers prices subject to Calvo sticky price frictions (no price indexation).

• Homogeneous input good ht produced by the firms in our labor market model.

• Taylor rule.

(46)

Rest of Model: Medium-Sized DSGE

• Competitive final goods production: Yt = 2 4 Z1 0

Y

1 lf

j,tdj 3 5

lf

.

• jth input produced by monopolist:

— Production: Yj,t=kaj,t&

zthj,t'1a

f.

— Homogeneous good, hj,t, purchased in competitive markets for real price, Jt.

— Retailers prices subject to Calvo sticky price frictions (no price indexation).

• Homogeneous input good ht produced by the firms in our labor market model.

• Taylor rule.

(47)

Rest of Model: Medium-Sized DSGE

• Competitive final goods production: Yt = 2 4 Z1 0

Y

1 lf

j,tdj 3 5

lf

.

• jth input produced by monopolist:

— Production: Yj,t=kaj,t&

zthj,t'1a

f.

— Homogeneous good, hj,t, purchased in competitive markets for real price, Jt.

— Retailers prices subject to Calvo sticky price frictions (no price indexation).

• Homogeneous input good ht produced by the firms in our labor market model.

• Taylor rule.

(48)

Rest of Model: Medium-Sized DSGE

• Competitive final goods production: Yt = 2 4 Z1 0

Y

1 lf

j,tdj 3 5

lf

.

• jth input produced by monopolist:

— Production: Yj,t=kaj,t&

zthj,t'1a

f.

— Homogeneous good, hj,t, purchased in competitive markets for real price, Jt.

— Retailers prices subject to Calvo sticky price frictions (no price indexation).

• Homogeneous input good ht produced by the firms in our labor market model.

• Taylor rule.

(49)

Estimated Parameters, Pre-2008 Data

• Estimation by impulse response matching, Bayesian methods.

• Prices change on average every 4quarters.

d: roughly0.1% chance of a breakup after rejection.

g: cost to firm of preparing countero§er roughly1 day’s production.

• Posterior mode of hiring cost: 0.49% of GDP; replacement ratio: 17% of wage.

• Elasticity of substitution between home and market goods: 3.

— seta priori, see Aguiar-Hurst-Karabarbounis (2012).

(50)

Estimated Parameters, Pre-2008 Data

• Estimation by impulse response matching, Bayesian methods.

• Prices change on average every 4quarters.

d: roughly0.1% chance of a breakup after rejection.

g: cost to firm of preparing countero§er roughly1 day’s production.

• Posterior mode of hiring cost: 0.49% of GDP; replacement ratio: 17% of wage.

• Elasticity of substitution between home and market goods: 3.

— seta priori, see Aguiar-Hurst-Karabarbounis (2012).

(51)

Estimated Parameters, Pre-2008 Data

• Estimation by impulse response matching, Bayesian methods.

• Prices change on average every 4quarters.

d: roughly0.1% chance of a breakup after rejection.

g: cost to firm of preparing countero§er roughly1 day’s production.

• Posterior mode of hiring cost: 0.49% of GDP; replacement ratio: 17% of wage.

• Elasticity of substitution between home and market goods: 3.

— seta priori, see Aguiar-Hurst-Karabarbounis (2012).

(52)

Estimated Parameters, Pre-2008 Data

• Estimation by impulse response matching, Bayesian methods.

• Prices change on average every 4quarters.

d: roughly0.1% chance of a breakup after rejection.

g: cost to firm of preparing countero§er roughly1 day’s production.

• Posterior mode of hiring cost: 0.49% of GDP; replacement ratio: 17% of wage.

• Elasticity of substitution between home and market goods: 3.

— seta priori, see Aguiar-Hurst-Karabarbounis (2012).

(53)

Estimated Parameters, Pre-2008 Data

• Estimation by impulse response matching, Bayesian methods.

• Prices change on average every 4quarters.

d: roughly0.1% chance of a breakup after rejection.

g: cost to firm of preparing countero§er roughly1 day’s production.

• Posterior mode of hiring cost: 0.49% of GDP; replacement ratio: 17% of wage.

• Elasticity of substitution between home and market goods: 3.

— seta priori, see Aguiar-Hurst-Karabarbounis (2012).

(54)

Estimated Parameters, Pre-2008 Data

• Estimation by impulse response matching, Bayesian methods.

• Prices change on average every 4quarters.

d: roughly0.1% chance of a breakup after rejection.

g: cost to firm of preparing countero§er roughly1 day’s production.

• Posterior mode of hiring cost: 0.49% of GDP; replacement ratio: 17% of wage.

• Elasticity of substitution between home and market goods: 3.

— seta priori, see Aguiar-Hurst-Karabarbounis (2012).

(55)

Estimated Parameters, Pre-2008 Data

• Estimation by impulse response matching, Bayesian methods.

• Prices change on average every 4quarters.

d: roughly0.1% chance of a breakup after rejection.

g: cost to firm of preparing countero§er roughly1 day’s production.

• Posterior mode of hiring cost: 0.49% of GDP; replacement ratio: 17% of wage.

• Elasticity of substitution between home and market goods: 3.

— set a priori, see Aguiar-Hurst-Karabarbounis (2012).

(56)

Accounting for the Great Recession

• Use model to assess which shocks account for gap between:

— What actually happened.

— What would have happened in absence of the shocks.

(57)

The U.S. Great Recession

2002 2004 2006 2008 2010 2012

−2.8

−2.75

−2.7

Log Real GDP

2002 2004 2006 2008 2010 2012 1

2 3 4 5

Federal Funds Rate (%)

2002 2004 2006 2008 2010 2012 5

6 7 8 9

Unemployment Rate (%)

2002 2004 2006 2008 2010 2012 59

60 61 62 63 64

Employment/Population (%)

2002 2004 2006 2008 2010 2012 4.54

4.56 4.58 4.6 4.62 4.64

Log Real Wage

2002 2004 2006 2008 2010 2012

−5.55

−5.5

−5.45

Log Real Consumption

2002 2004 2006 2008 2010 2012

−5.9

−5.8

−5.7

−5.6

−5.5

Log Real Investment

2002 2004 2006 2008 2010 2012 64

65 66 67

Labor Force/Population (%)

2002 2004 2006 2008 2010 2012 50

60 70

Job Finding Rate (%)

2002 2004 2006 2008 2010 2012 7.8

8 8.2 8.4

Log Vacancies

2002 2004 2006 2008 2010 2012 4.55

4.6 4.65 4.7

Log TFP

2002 2004 2006 2008 2010 2012 1

1.5 2 2.5

Inflation (%, y−o−y)

2002 2004 2006 2008 2010 2012 2

3 4 5 6 7

G−Z Corporate Spread (%)

Figure 6: The Great Recession in the U.S.

2002 2004 2006 2008 2010 2012

−4.42

−4.4

−4.38

−4.36

−4.34

Log Gov. Cons.+Invest.

Notes: Gray areas indicate NBER recession dates.

Data 2008Q2

(58)

The U.S. Great Recession

2002 2004 2006 2008 2010 2012

−2.8

−2.75

−2.7

Log Real GDP

2002 2004 2006 2008 2010 2012 1

1.5 2 2.5

Inflation (%, y−o−y)

2002 2004 2006 2008 2010 2012 1

2 3 4 5

Federal Funds Rate (%)

2002 2004 2006 2008 2010 2012 5

6 7 8 9

Unemployment Rate (%)

2002 2004 2006 2008 2010 2012 59

60 61 62 63 64

Employment/Population (%)

2002 2004 2006 2008 2010 2012 4.54

4.56 4.58 4.6 4.62 4.64

Log Real Wage

2002 2004 2006 2008 2010 2012

−5.55

−5.5

−5.45

Log Real Consumption

2002 2004 2006 2008 2010 2012

−5.9

−5.8

−5.7

−5.6

−5.5

Log Real Investment

2002 2004 2006 2008 2010 2012 64

65 66 67

Labor Force/Population (%)

2002 2004 2006 2008 2010 2012 50

60 70

Job Finding Rate (%)

2002 2004 2006 2008 2010 2012 7.8

8 8.2 8.4

Log Vacancies

2002 2004 2006 2008 2010 2012 2

3 4 5 6 7

G−Z Corporate Spread (%)

2002 2004 2006 2008 2010 2012 4.55

4.6 4.65 4.7

Log TFP

Figure 6: The Great Recession in the U.S.

2002 2004 2006 2008 2010 2012

−4.42

−4.4

−4.38

−4.36

−4.34

Log Gov. Cons.+Invest.

Notes: Gray areas indicate NBER recession dates.

Data 2008Q2

Linear Trend from 2001Q1 to 2008Q2

(59)

The U.S. Great Recession

2002 2004 2006 2008 2010 2012

−2.8

−2.75

−2.7

Log Real GDP

2002 2004 2006 2008 2010 2012 1

1.5 2 2.5

Inflation (%, y−o−y)

2002 2004 2006 2008 2010 2012 1

2 3 4 5

Federal Funds Rate (%)

2002 2004 2006 2008 2010 2012 5

6 7 8 9

Unemployment Rate (%)

2002 2004 2006 2008 2010 2012 59

60 61 62 63 64

Employment/Population (%)

2002 2004 2006 2008 2010 2012 4.54

4.56 4.58 4.6 4.62 4.64

Log Real Wage

2002 2004 2006 2008 2010 2012

−5.55

−5.5

−5.45

Log Real Consumption

2002 2004 2006 2008 2010 2012

−5.9

−5.8

−5.7

−5.6

−5.5

Log Real Investment

2002 2004 2006 2008 2010 2012 64

65 66 67

Labor Force/Population (%)

2002 2004 2006 2008 2010 2012 50

60 70

Job Finding Rate (%)

2002 2004 2006 2008 2010 2012 7.8

8 8.2 8.4

Log Vacancies

2002 2004 2006 2008 2010 2012 2

3 4 5 6 7

G−Z Corporate Spread (%)

2002 2004 2006 2008 2010 2012 4.55

4.6 4.65 4.7

Log TFP

Figure 6: The Great Recession in the U.S.

2002 2004 2006 2008 2010 2012

−4.42

−4.4

−4.38

−4.36

−4.34

Log Gov. Cons.+Invest.

Notes: Gray areas indicate NBER recession dates.

Data 2008Q2

Linear Trend from 2001Q1 to 2008Q2 Forecast 2008Q3 and beyond

(60)

The U.S. Great Recession: Data Targets

2009 2011 2013 2015

−10

−5 0

GDP (%)

Data

2009 2011 2013 2015

−1.5

−1

−0.5 0

Inflation (p.p., y−o−y)

2009 2011 2013 2015

−2

−1.5

−1

−0.5 0

Federal Funds Rate (ann. p.p.)

2009 2011 2013 2015 0

1 2 3 4

Unemployment Rate (p.p.)

2009 2011 2013 2015

−4

−3

−2

−1 0

Employment (p.p.)

2009 2011 2013 2015

−1.5

−1

−0.5 0

Labor Force (p.p.)

2009 2011 2013 2015

−30

−20

−10 0

Investment (%)

2009 2011 2013 2015

−8

−6

−4

−2 0

Consumption (%)

2009 2011 2013 2015

−4

−2 0

Real Wage (%)

2009 2011 2013 2015

−80

−60

−40

−20 0

Vacancies (%)

2009 2011 2013 2015

−20

−15

−10

−5 0

Job Finding Rate (p.p.)

2009 2011 2013 2015 0

2 4

G−Z Corp. Bond Spread (ann. p.p.)

2009 2011 2013 2015

−5

−4

−3

−2

−1 0

TFP Level (%)

2009 2011 2013 2015

−8

−6

−4

−2 0 2

Gov. Cons. & Invest. (%, exog.)

Figure 7: The U.S. Great Recession: Data vs. Model

(61)

Two Financial Market Shocks

1 Consumption wedge, Dbt: Shock to demand for safe assets (‘Flight to Quality Shock’, see e.g. Fisher 2014):

1= (1+Dbt)Etmt+1Rt/pt+1

2 Financial wedge, Dkt: Reduced form of ‘risk shock’,

Christiano-Davis (2006), Christiano-Motto-Rostagno (2014): 1= (1Dkt)Etmt+1Rkt+1/pt+1

• Financial wedge also applies to working capital loans:

— Interest charge on working capital:Rt&

1+Dkt'

— Assume1/2of labor inputs financed with loans.

— Higher financial wedge directly increases cost to firms.

(62)

Two Financial Market Shocks

1 Consumption wedge, Dbt: Shock to demand for safe assets (‘Flight to Quality Shock’, see e.g. Fisher 2014):

1= (1+Dbt)Etmt+1Rt/pt+1

2 Financial wedge, Dkt: Reduced form of ‘risk shock’,

Christiano-Davis (2006), Christiano-Motto-Rostagno (2014):

1= (1Dkt)Etmt+1Rkt+1/pt+1

• Financial wedge also applies to working capital loans:

— Interest charge on working capital:Rt&

1+Dkt'

— Assume1/2of labor inputs financed with loans.

— Higher financial wedge directly increases cost to firms.

(63)

Two Financial Market Shocks

1 Consumption wedge, Dbt: Shock to demand for safe assets (‘Flight to Quality Shock’, see e.g. Fisher 2014):

1= (1+Dbt)Etmt+1Rt/pt+1

2 Financial wedge, Dkt: Reduced form of ‘risk shock’,

Christiano-Davis (2006), Christiano-Motto-Rostagno (2014):

1= (1Dkt)Etmt+1Rkt+1/pt+1

• Financial wedge also applies to working capital loans:

— Interest charge on working capital:Rt&

1+Dkt'

— Assume1/2of labor inputs financed with loans.

— Higher financial wedge directly increases cost to firms.

(64)

Two Financial Market Shocks

1 Consumption wedge, Dbt: Shock to demand for safe assets (‘Flight to Quality Shock’, see e.g. Fisher 2014):

1= (1+Dbt)Etmt+1Rt/pt+1

2 Financial wedge, Dkt: Reduced form of ‘risk shock’,

Christiano-Davis (2006), Christiano-Motto-Rostagno (2014):

1= (1Dkt)Etmt+1Rkt+1/pt+1

• Financial wedge also applies to working capital loans:

— Interest charge on working capital: Rt&

1+Dkt'

— Assume 1/2of labor inputs financed with loans.

— Higher financial wedge directly increases cost to firms.

(65)

Measurement of Shocks

1 Financial wedge, 1−Dkt, measured using GZ spread data.

2 Government shock measured using Gdata.

3 Neutral technology shock based on TFP data.

4 We don’t have data on the consumption wedge, Dbt. - In 2008Q3, agents expect Dbt to jump from0 to 0.33%

until 2013Q2.

- In 2012Q3 agents revise expectation and expect Dbt to remain up until 2014Q3 (stand-in for fiscal cli§, sequester).

• Stochastic simulation starting 2008q3 (nonlinear model, no perfect foresight).

(66)

Measurement of Shocks

1 Financial wedge, 1−Dkt, measured using GZ spread data.

2 Government shock measured using Gdata.

3 Neutral technology shock based on TFP data.

4 We don’t have data on the consumption wedge, Dbt. - In 2008Q3, agents expect Dbt to jump from0 to 0.33%

until 2013Q2.

- In 2012Q3 agents revise expectation and expect Dbt to remain up until 2014Q3 (stand-in for fiscal cli§, sequester).

• Stochastic simulation starting 2008q3 (nonlinear model, no perfect foresight).

(67)

Measurement of Shocks

1 Financial wedge, 1−Dkt, measured using GZ spread data.

2 Government shock measured using Gdata.

3 Neutral technology shock based on TFP data.

4 We don’t have data on the consumption wedge, Dbt. - In 2008Q3, agents expect Dbt to jump from0 to 0.33%

until 2013Q2.

- In 2012Q3 agents revise expectation and expect Dbt to remain up until 2014Q3 (stand-in for fiscal cli§, sequester).

• Stochastic simulation starting 2008q3 (nonlinear model, no perfect foresight).

(68)

Measurement of Shocks

1 Financial wedge, 1−Dkt, measured using GZ spread data.

2 Government shock measured using Gdata.

3 Neutral technology shock based on TFP data.

4 We don’t have data on the consumption wedge, Dbt. - In 2008Q3, agents expect Dbt to jump from0 to 0.33%

until 2013Q2.

- In 2012Q3 agents revise expectation and expect Dbt to remain up until 2014Q3 (stand-in for fiscal cli§, sequester).

• Stochastic simulation starting 2008q3 (nonlinear model, no perfect foresight).

(69)

Measurement of Shocks

1 Financial wedge, 1−Dkt, measured using GZ spread data.

2 Government shock measured using Gdata.

3 Neutral technology shock based on TFP data.

4 We don’t have data on the consumption wedge, Dbt. - In 2008Q3, agents expect Dbt to jump from0 to 0.33%

until 2013Q2.

- In 2012Q3 agents revise expectation and expect Dbt to remain up until 2014Q3 (stand-in for fiscal cli§, sequester).

• Stochastic simulation starting 2008q3 (nonlinear model, no perfect foresight).

(70)

Monetary Policy in the Great Recession

• From 2008Q3 to 2011Q2:

— Taylor-type feedback rule subject to the ZLB.

• Policy from 2011Q3-2012Q4:

— Date-based forward guidance

— Keep funds rate at zero for next 8 quarters.

• Policy from 2013Q1:

— keep funds rate at zero until either unemployment falls below 6.5%or inflation rises above 2.5%.

(71)

Monetary Policy in the Great Recession

• From 2008Q3 to 2011Q2:

— Taylor-type feedback rule subject to the ZLB.

• Policy from 2011Q3-2012Q4:

— Date-based forward guidance

— Keep funds rate at zero for next 8 quarters.

• Policy from 2013Q1:

— keep funds rate at zero until either unemployment falls below 6.5%or inflation rises above 2.5%.

(72)

Monetary Policy in the Great Recession

• From 2008Q3 to 2011Q2:

— Taylor-type feedback rule subject to the ZLB.

• Policy from 2011Q3-2012Q4:

— Date-based forward guidance

— Keep funds rate at zero for next 8 quarters.

• Policy from 2013Q1:

— keep funds rate at zero until either unemployment falls below 6.5% or inflation rises above 2.5%.

(73)

The U.S. Great Recession: Data vs. Model

2009 2011 2013 2015

−10

−5 0

GDP (%)

Data

2009 2011 2013 2015

−1.5

−1

−0.5 0

Inflation (p.p., y−o−y)

2009 2011 2013 2015

−2

−1.5

−1

−0.5 0

Federal Funds Rate (ann. p.p.)

2009 2011 2013 2015 0

1 2 3 4

Unemployment Rate (p.p.)

2009 2011 2013 2015

−4

−3

−2

−1 0

Employment (p.p.)

2009 2011 2013 2015

−1.5

−1

−0.5 0

Labor Force (p.p.)

2009 2011 2013 2015

−30

−20

−10 0

Investment (%)

2009 2011 2013 2015

−8

−6

−4

−2 0

Consumption (%)

2009 2011 2013 2015

−4

−2 0

Real Wage (%)

2009 2011 2013 2015

−80

−60

−40

−20 0

Vacancies (%)

2009 2011 2013 2015

−20

−15

−10

−5 0

Job Finding Rate (p.p.)

2009 2011 2013 2015 0

2 4

G−Z Corp. Bond Spread (ann. p.p.)

2009 2011 2013 2015

−5

−4

−3

−2

−1 0

TFP Level (%)

2009 2011 2013 2015

−8

−6

−4

−2 0 2

Gov. Cons. & Invest. (%, exog.)

Figure 7: The U.S. Great Recession: Data vs. Model

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