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Understanding the Gains from Wage Flexibility: The Exchange Rate Connection Jordi Gal Tommaso Monacelli October 2013 Jordi Gal, Tommaso Monacelli () Wage Flexibility and the Exchange Rate October 2013 1 / 16 Gains from Wage Flexibility:


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Understanding the Gains from Wage Flexibility: The Exchange Rate Connection

Jordi Galí Tommaso Monacelli October 2013

Jordi Galí, Tommaso Monacelli () Wage Flexibility and the Exchange Rate October 2013 1 / 16

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Gains from Wage Flexibility: The Conventional Wisdom

Conventional wisdom (I): "Wage flexibility is a good thing"

Jordi Galí, Tommaso Monacelli () Wage Flexibility and the Exchange Rate December 2013 2 / 16

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Wage Flexibility and Employment Stability: The Classical View

  • a. Wage flexibility
  • b. Wage rigidity
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Gains from Wage Flexibility: The Conventional Wisdom

Conventional wisdom (I): "Wage flexibility is a good thing" Conventional wisdom (II): "Wage flexibility is a good thing. More so in a currency union"

Jordi Galí, Tommaso Monacelli () Wage Flexibility and the Exchange Rate December 2013 3 / 16

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Gains from Wage Flexibility: The Conventional Wisdom

Conventional wisdom (I): "Wage flexibility is a good thing" Conventional wisdom (II): "Wage flexibility is a good thing. More so in a currency union" Recurrent calls for wage moderation and reforms to enhance wage flexibility, aimed at troubled euro are countries

Jordi Galí, Tommaso Monacelli () Wage Flexibility and the Exchange Rate December 2013 4 / 16

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Gains from Wage Flexibility Revisited: The Closed Economy Case (Galí, JEEA 2013)

Closed economy model with staggered price and wage setting Taylor-type interest rate rule: it = ρ + φππt + φyyt Indirect effect of wages on employment: ↓ w ⇒ ↓ π ⇒ ↓ i ⇒ ↓ r ⇒ ↑ y ⇒ ↑ n ⇒ key role for endogenous monetary policy response Main finding: Increased wage flexibility may be welfare-reducing if φπ is small

  • limited effectiveness at stabilizing employment
  • costly "side effects" (increased volatility in wage and price inflation)

Jordi Galí, Tommaso Monacelli () Wage Flexibility and the Exchange Rate December 2013 5 / 16

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Gains from Wage Flexibility Revisited: The Closed Economy Case (Galí, JEEA 2013)

Closed economy model with staggered price and wage setting Taylor-type interest rate rule: it = ρ + φππt + φyyt Indirect effect of wages on employment: ↓ w ⇒ ↓ π ⇒ ↓ i ⇒ ↓ r ⇒ ↑ y ⇒ ↑ n ⇒ key role for endogenous monetary policy response Main finding: Increased wage flexibility may be welfare-reducing if φπ is small

  • limited effectiveness at stabilizing employment
  • costly "side effects" (increased volatility in wage and price inflation)

Caveat: closed economy, no room for "competitiveness channel"

Jordi Galí, Tommaso Monacelli () Wage Flexibility and the Exchange Rate December 2013 6 / 16

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Gains from Wage Flexibility Revisited: The Open Economy

Framework: small open economy New Keynesian model GM 2005 + wage rigidities Transmission of wage changes to employment:

  • "endogenous policy channel"
  • "competitiveness channel"

Questions:

  • Is increased wage flexibility always desirable?
  • More so in a currency union?
  • What is the role of the exchange rate policy/regime?

The exchange rate connection: with a more rigid exchange rate, wage flexibility is... ⇒ more valuable to bring about warranted changes in terms of trade ⇒ less effective due to muted monetary policy response

Jordi Galí, Tommaso Monacelli () Wage Flexibility and the Exchange Rate December 2013 7 / 16

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Basic Framework

Domestic households E0

t=0

βtU(Ct, Nt; Xt) Ct ≡

  • (1 − ν)

1 η CH,t

1− 1

η + ν 1 η CF ,t

1− 1

η

  • η

η−1

CH,t ≡ 1

0 CH,t(j)

ǫp −1 ǫp dj

  • ǫp

ǫp −1

U(Ct, Nt; Xt) =

  • log Ct −

1 1 + ϕN1+ϕ

t

  • Xt

where xt ≡ log Xt ∼ AR(1) ("demand shock") Assumption: access to (complete) international financial markets

Jordi Galí, Tommaso Monacelli () Wage Flexibility and the Exchange Rate December 2013 8 / 16

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Basic Framework

Domestic firms Yt = AtN1−α

t

where at ≡ log At ∼ AR(1) ("technology shock") Monopolistic competition in goods and labor markets Staggered price and wage setting à la Calvo Producer currency pricing (full pass-through) Monetary policy it = φππH,t + φe 1 − φe et Limiting case: as φe → 1, exchange rate peg (et = 0)

Jordi Galí, Tommaso Monacelli () Wage Flexibility and the Exchange Rate December 2013 9 / 16

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The Impact of Labor Costs on Employment: The Role of Exchange Rate Policy

Exogenous payroll tax process τt = ρττt−1 + ετ

t

Baseline calibration:

  • openness: ν = 0.4
  • elasticity of substitution: η = 1
  • nominal rigidities: θp = θw = 0.75
  • inflation coefficient: φπ = 1.5

Response of employment to a 1% payroll tax cut, as a function of φe

Jordi Galí, Tommaso Monacelli () Wage Flexibility and the Exchange Rate December 2013 10 / 16

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Dynamic Response of Employment to a Payroll Tax Cut

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The Impact of Labor Costs on Employment: Dissecting the Mechanism

Labor demand nt = 1 1 − α(yt − at) Equilibrium output yt = (1 − ν)ct + ην(2 − ν)st Equilibrium consumption: ct = xt − (1 − ν)Et

k=0

(it+k − Et{πH,t+1+k})

  • Equilibrium terms of trade:

st = −Et

k=0

(it+k − Et{πH,t+1+k})

  • ⇒ key role for monetary policy response, shaped by exchange rate policy

Jordi Galí, Tommaso Monacelli () Wage Flexibility and the Exchange Rate December 2013 11 / 16

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Dynamic Responses to a Payroll Tax Cut: Interest Rates

Nominal interest rate Real interest rate

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Welfare Gains from Increased Wage Flexibility: The Exchange Rate Connection

Interaction between:

  • wage stickiness: θw ∈ [0, 1]
  • exchange rate stability: φe ∈ [0, 1]

Welfare loss in the unit-elasticity case (η = 1) L ∼ (1 + ϕ) var( nt) +

  • ǫp

λp(1 − α)

  • var(πp

t ) +

ǫw λw

  • var(πw

t )

Conditional analysis: (i) demand shocks (ii) technology shocks

Jordi Galí, Tommaso Monacelli () Wage Flexibility and the Exchange Rate December 2013 12 / 16

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Wage Flexibility, Exchange Rate Policy and Welfare: Demand Shocks

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wage inflation employment gap

Wage Flexibility, Exchange Rate Policy and Welfare: Demand Shocks Welfare Loss Components

price inflation

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Welfare Impact Regions: Demand Shocks

w

Welfare θ ∂ < ∂

w

Welfare θ ∂ > ∂

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Wage Flexibility, Exchange Rate Policy and Welfare: Technology Shocks

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Wage Flexibility, Exchange Rate Policy and Welfare: Technology Shocks Welfare Loss Components

employment gap price inflation wage inflation

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Welfare Impact Regions: Technology Shocks

w

Welfare θ ∂ > ∂

w

Welfare θ ∂ < ∂

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Welfare Gains from Increased Wage Flexibility: The Exchange Rate Connection

Interaction between:

  • wage stickiness: θw ∈ [0, 1]
  • exchange rate stability: φe ∈ [0, 1]

Welfare loss in the unit-elasticity case (η = 1) L ∼ (1 + ϕ) var( nt) +

  • ǫp

λp(1 − α)

  • var(πp

t ) +

ǫw λw

  • var(πw

t )

Conditional analysis: (i) demand shocks (ii) technology shocks Robustness to alternative calibrations:

  • trade elasticity, η
  • openness, ν
  • price stickiness, θp

Jordi Galí, Tommaso Monacelli () Wage Flexibility and the Exchange Rate December 2013 13 / 16

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Wage Flexibility, Exchange Rate Policy and Welfare: Demand Shocks The Case of a Non-Unitary Elasticity of Substitution

Low Elasticity High Elasticity

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Figure 5.a Welfare Impact of Enhanced Wage Flexibility: Demand Shocks The Role of Openness under a High Trade Elasticity (η=2)

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Figure 5.b Welfare Impact of Enhanced Wage Flexibility: Demand Shocks The Role of Openness under a Low Trade Elasticity (η=0.5)

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Welfare Impact of Enhanced Wage Flexibility: Demand Shocks The Role of Price Stickiness

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Wage and Price Flexibility, Exchange Rate Policy and Welfare: Demand Shocks

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Concluding remarks

Conventional wisdom "Wage flexibility is a good thing. More so in a currency union"

Jordi Galí, Tommaso Monacelli () Wage Flexibility and the Exchange Rate December 2013 14 / 16

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Concluding remarks

Conventional wisdom "Wage flexibility is a good thing. More so in a currency union" Finding #1: Effectiveness of labor cost adjustments on employment inversely related to exchange rate "rigidity" ⇒ least effective in a currency union

Jordi Galí, Tommaso Monacelli () Wage Flexibility and the Exchange Rate December 2013 15 / 16

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Concluding remarks

Conventional wisdom "Wage flexibility is a good thing. More so in a currency union" Finding #1: Effectiveness of labor cost adjustments on employment inversely related to exchange rate "rigidity" ⇒ least effective in a currency union Finding #2: Increased wage flexibility often welfare-reducing. ⇒ more likely so in a currency union.

Jordi Galí, Tommaso Monacelli () Wage Flexibility and the Exchange Rate December 2013 16 / 16

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Welfare Impact of Enhanced Wage Flexibility: Technology Shocks The Role of Price Stickiness

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Wage and Price Flexibility, Exchange Rate Policy and Welfare: Technology Shocks

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1 1.2 1.4 1.6 1.8 2 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 100 200 300 400 500 600 Inflation Coefficient Wage Stickiness Welfare losses

Figure 19 Wage Flexibility, Monetary Policy and Welfare Technology Shocks

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Figure 20 Decomposition of Welfare Losses Technology Shocks

1 1.2 1.4 1.6 1.8 2 0.2 0.4 0.6 0.8 1 50 100 150 Inflation Coefficient W a g e S t i c k i n e s s Welfare losses: Employment component

1 1.2 1.4 1.6 1.8 2 0.2 0.4 0.6 0.8 1 50 100 150 200 250 Inflation Coefficient Wage Stickiness Welfare losses: Wage Inflation Component

1 1.2 1.4 1.6 1.8 2 0.2 0.4 0.6 0.8 1 200 400 600 Inflation Coefficient Wage Stickiness Welfare losses: Price Inflation Component

(i) Employment (ii) Price Inflation (iii) Wage Inflation