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Time varying effects of oil price shocks on euro area exports F. Venditti (Banca d’Italia) and M. Riggi (Banca d’Italia) Conference in memory of Carlo Giannini Pavia, March 25-26 2014 Riggi-Venditti Conference in memory of Carlo Giannini Conference in memory of Carlo Giannini Pavia, March / 39
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Page 1: Time varying e ects of oil price shocks on euro area exports · Time varying e ects of oil price shocks on euro area exports F. Venditti (Banca d’Italia) and M. Riggi (Banca d’Italia)

Time varying effects of oil price shocks on euro areaexports

F. Venditti (Banca d’Italia) and M. Riggi (Banca d’Italia)

Conference in memory of Carlo GianniniPavia, March 25-26 2014

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Page 2: Time varying e ects of oil price shocks on euro area exports · Time varying e ects of oil price shocks on euro area exports F. Venditti (Banca d’Italia) and M. Riggi (Banca d’Italia)

Motivation

The changing effect of oil price shocks on the Macroeconomy has beenwidely studied in rcent years. Two strands can be identified:

Blanchard and Gali (2009) and Blanchard Riggi (2013) document anattenuation of the recessionary effect of oil price innovations and attribute itto:

1 more effective monetary policy2 vanishing wage indexation

Not all shocks are alike literature: Kilian (2009), Hicks and Kilian (2009),Lippi and Nobili (2012) and Aastveit et al (2013)

1 Oil price innovations are not structural2 Apart from some isolated episodes in the 70s they have been mainly driven by

expansionary demand shocks rather than by recessionary supply disruptions3 This explains the lower recent correlation between oil price spikes and

recessions

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Page 3: Time varying e ects of oil price shocks on euro area exports · Time varying e ects of oil price shocks on euro area exports F. Venditti (Banca d’Italia) and M. Riggi (Banca d’Italia)

Motivation

Implication of Kilian’s story for the euro area: we should observe a change inthe correlation between oil price shocks and exportsThe issue is particularly relevant as exports have accounted more and morefor euro area aggregate demand

Euro area: GDP and exports (1970q1=1)

0.5

1.5

2.5

3.5

4.5

5.5

6.5

7.5

8.5

9.5

1970 1974 1978 1982 1986 1990 1994 1998 2002 2006 2010

GDP

Exports

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Page 4: Time varying e ects of oil price shocks on euro area exports · Time varying e ects of oil price shocks on euro area exports F. Venditti (Banca d’Italia) and M. Riggi (Banca d’Italia)

Motivating evidence

Fit the following model

yt = B0,t + B1,tyt−1 + B2,tyt−2 + ... + Bp,tyt−p + ut (1)

Var(ut) ≡ Σt (2)

where yt is a vector of four series: the real price of oil (Brent quality) in U.S.dollars, real exports, foreign GPD (Hahn and Mestre), and the supply ofcrude oil.

Data from 1970 to 2011

Model estimated with Bayesian methods (see large literature, we follow inparticular Benati and Mumtaz, 2007) and look at the IRF of exports to an oilprice innovation

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Page 5: Time varying e ects of oil price shocks on euro area exports · Time varying e ects of oil price shocks on euro area exports F. Venditti (Banca d’Italia) and M. Riggi (Banca d’Italia)

Response of exports to an oil price innovation

200820011995198919831976

0

5

10

15

20

25

−0.2

0

0.2

0.4

0.6

0.8

1

Export

Problem: not all shocks are alike! What lies behind this result? Supply/demandshocks? Turn to the theoretical model.

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Page 6: Time varying e ects of oil price shocks on euro area exports · Time varying e ects of oil price shocks on euro area exports F. Venditti (Banca d’Italia) and M. Riggi (Banca d’Italia)

Our strategy

Start with a theoretical DSGE model with three countries: an oil producingcountry, a domestic economy (the euro area) and a third block (which wethink of as the emerging markets)

in the model there are two shocks:1 An oil supply shock (think about this as the result of geopolitical tensions)2 An oil demand shock resulting from a productivity shock in emerging markets

(why this? see Lipinska and Millard)

Then use the model to pin down the signs of the responses of some macrovariables to these two shocks

We impose these sign restrictions to identify the two shocks in a T.V.P. VAR

Identify the changing features in the correlations between the two shocks andeuro area exports

Go back to the DSGE and check under which calibrations we can replicatethe empirical findings.

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Page 7: Time varying e ects of oil price shocks on euro area exports · Time varying e ects of oil price shocks on euro area exports F. Venditti (Banca d’Italia) and M. Riggi (Banca d’Italia)

A preview of the results

The correlation between the real price of oil and euro area exports conditionalon oil supply shocks is negative, whereas it is positive conditional on oildemand shocks.

Conditional on each shock the correlation between the oil price and euro areaexports has changed over time:

1 less negative conditional on oil supply shocks2 more positive conditional on oil demand shocks

What structural changes can account for these findings? Focus on fourchannels:

1 greater trade integration with emerging markets2 lower oil share in production3 higher reflow of dollars from OPEC countries to the euro area4 lower desired markups

An increase in trade integration alone cannot replicate these findings since itamplifies both the negative and the positive correlations

The other three channels must have played a role

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Page 8: Time varying e ects of oil price shocks on euro area exports · Time varying e ects of oil price shocks on euro area exports F. Venditti (Banca d’Italia) and M. Riggi (Banca d’Italia)

The model

Our model is a variant of Clarida, Gal̀ı and Gertler (2002) sticky price open economy,

extended to consider the role of oil price dynamics in the spirit of Campolmi (2008) and

Lipinska and Millard (2012).

Two oil importers: Home ”H” and Foreign ”F”

An oil producer

oil importers oil producer

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Page 9: Time varying e ects of oil price shocks on euro area exports · Time varying e ects of oil price shocks on euro area exports F. Venditti (Banca d’Italia) and M. Riggi (Banca d’Italia)

Shocks

Given our objectives, we focus on two sources of cyclical fluctuations driving up oil prices:

An oil supply shrinkage Mst =

(Ms

t−1

)ρm eut

An increase in foreign productivity, meant to capture the dynamic effects of an oil

demand increase fostered by faster foreign growth. (Consistently with overall

consensus that in the past decade a large part of oil price increases stemmed from

fast growth in emerging economies).

Y ∗t = A∗

tN∗αnt Mαm

F ,t , A∗t is a productivity factor common across firms

A∗t =

(A∗t−1

)ρA euat , where ut is an i.i.d. shock to foreign technology level.

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Page 10: Time varying e ects of oil price shocks on euro area exports · Time varying e ects of oil price shocks on euro area exports F. Venditti (Banca d’Italia) and M. Riggi (Banca d’Italia)

Shocks

Given our objectives, we focus on two sources of cyclical fluctuations driving up oil prices:

An oil supply shrinkage Mst =

(Ms

t−1

)ρm eut

An increase in foreign productivity, meant to capture the dynamic effects of an oil

demand increase fostered by faster foreign growth. (Consistently with overall

consensus that in the past decade a large part of oil price increases stemmed from

fast growth in emerging economies).

Y ∗t = A∗

tN∗αnt Mαm

F ,t , A∗t is a productivity factor common across firms

A∗t =

(A∗t−1

)ρA euat , where ut is an i.i.d. shock to foreign technology level.

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Page 11: Time varying e ects of oil price shocks on euro area exports · Time varying e ects of oil price shocks on euro area exports F. Venditti (Banca d’Italia) and M. Riggi (Banca d’Italia)

Model consistent sign restrictions

Following Canova and Paustian (2011), Dedola and Neri (2007) and Lippi and Nobili

(2012) we carry out a Monte Carlo simulation on the relevant parameters of our

theoretical model, assuming that the latter are uniformly and independently distributed

over wide ranges:

simulated parameters range of values

θ Price stickiness [0.1, 0.95]χ Degree of trade openness in H [0.0, 1.0]χ∗ Degree of trade openness in F [0.0, 1.0]vO Share of F -goods in the oil exporter country’ consumers basket [0.0, 1.0]φπ Taylor coefficient on inflation [1.1, 5.0]φx Taylor coefficient on the output gap [0.0, 1.0]ε Elasticity of substitution among differentiated goods [3, 11]αm Oil’s share in production [0.01, 0.04]ρm Persistence of oil supply shock [0.5, 0.999]ρa Persistence of foreign supply shock [0.5, 0.999]

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Page 12: Time varying e ects of oil price shocks on euro area exports · Time varying e ects of oil price shocks on euro area exports F. Venditti (Banca d’Italia) and M. Riggi (Banca d’Italia)

Model consistent sign restrictions

calibrated parametersβ Intertemporal discount factor 0.99σ Risk aversion 0.1h Habit 0.8φ Inverse of the Frisch elasticity 1.0αn Labor’s share in production 2/3n Mass of households in H 0.5

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Page 13: Time varying e ects of oil price shocks on euro area exports · Time varying e ects of oil price shocks on euro area exports F. Venditti (Banca d’Italia) and M. Riggi (Banca d’Italia)

Model consistent sign restrictions

oil supply oil demand

We draw 1000 vectors of the structural parameters from the uniform densities, for each

draw we save the responses to an oil supply shock and a foreign productivity shock and

compute the median, the 5th and 95th percentiles of the resulting distribution of impulse

responses, point by point.

Sign restrictions on VAR variables

Structural shocks

VAR variables oil supply foreign productivity

oil supply -

oil price* + +

RoW GDP - +

*The price of oil is the euro price of oil deflated by the euro area CPI, as done in the

empirical analysis.

We do not impose any restriction on the response of exports

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Page 14: Time varying e ects of oil price shocks on euro area exports · Time varying e ects of oil price shocks on euro area exports F. Venditti (Banca d’Italia) and M. Riggi (Banca d’Italia)

Time varying effect of an oil supply shock

Top panel: exports - Bottom panel: Foreign GDP

200720011995198819821976

05

1015

−2

−1.5

−1

−0.5

0

Exports

200720011995198819821976

05

1015

−1

−0.5

0

Foreign gdp

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Page 15: Time varying e ects of oil price shocks on euro area exports · Time varying e ects of oil price shocks on euro area exports F. Venditti (Banca d’Italia) and M. Riggi (Banca d’Italia)

Time varying effect of an oil supply shock: average acrossdecades

Top panel: exports - Bottom panel: Foreign GDP

0 2 4 6 8 10 12 14 16−0.8

−0.6

−0.4

−0.2

0Exports

70s80s90s00s

0 2 4 6 8 10 12 14 16−0.5

−0.4

−0.3

−0.2

−0.1

0Foreign gdp

70s80s90s00s

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Page 16: Time varying e ects of oil price shocks on euro area exports · Time varying e ects of oil price shocks on euro area exports F. Venditti (Banca d’Italia) and M. Riggi (Banca d’Italia)

Time varying effect of a foreign productivity shock

Top panel: exports - Bottom panel: Foreign GDP

200720011995198819821976

05

1015

5

10

15

Exports

200720011995198819821976

05

1015

1

1.5

2

2.5

3

Foreign gdp

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Page 17: Time varying e ects of oil price shocks on euro area exports · Time varying e ects of oil price shocks on euro area exports F. Venditti (Banca d’Italia) and M. Riggi (Banca d’Italia)

Time varying effect of a foreign productivity shock:average across decades

Top panel: exports - Bottom panel: Foreign GDP

0 2 4 6 8 10 12 14 162

4

6

8

10

12Exports

70s80s90s00s

0 2 4 6 8 10 12 14 161

1.5

2

2.5Foreign gdp

70s80s90s00s

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Page 18: Time varying e ects of oil price shocks on euro area exports · Time varying e ects of oil price shocks on euro area exports F. Venditti (Banca d’Italia) and M. Riggi (Banca d’Italia)

Variance decomposition

1980 1990 2000 2010

0.05

0.1

0.15

0.2

0.25

0.3

0.35Oil supply shock

Total varianceLow frequency variance

1980 1990 2000 2010

0.15

0.2

0.25

0.3

0.35

0.4

0.45

0.5Oil demand shock

Total varianceLow frequency variance

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Page 19: Time varying e ects of oil price shocks on euro area exports · Time varying e ects of oil price shocks on euro area exports F. Venditti (Banca d’Italia) and M. Riggi (Banca d’Italia)

Explaining changes in conditional second moments

From our empirical analysis:

1 the negative correlation between euro area exports and the real price of oil

conditional on supply shocks has gone down over time (in absolute value)

2 the positive correlation conditional on oil demand shocks has become stronger

These variations in conditional second moments point to the existence of at least some

structural changes that have affected the joint dynamics of euro area exports and the

real price of oil over last decades. We qualitatively assess the potential for four plausible

explanations, not mutually exclusive:

1 the consolidation of the trade relationship with emerging economies

2 the decrease in the share of oil in production

3 a new advantageous flood of petrodollars towards the euro area

4 lower markups

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Page 20: Time varying e ects of oil price shocks on euro area exports · Time varying e ects of oil price shocks on euro area exports F. Venditti (Banca d’Italia) and M. Riggi (Banca d’Italia)

The consolidation of the trade relationship with emergingeconomies

Export shares towards Asian Emerging Countries

0

2

4

6

8

10

12

GERMANY ITALY FRANCE SPAIN

1988

2011

We simulate the theoretical effects on the IRF of exports from H to oil demand and

supply shocks of an increase in χ∗, i.e. the preference of the foreign F economy for

goods produced by H.

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Page 21: Time varying e ects of oil price shocks on euro area exports · Time varying e ects of oil price shocks on euro area exports F. Venditti (Banca d’Italia) and M. Riggi (Banca d’Italia)

The consolidation of the trade relationship with emergingeconomies

IRFs of exports from H to an oil demand shock

0 2 4 6 8 10 12 14 16 18 201

2

3

4

5

6

7

8

9

−©− χ∗= 0.05−�− χ∗= 0.30− ∗− χ∗= 1.00

χ∗ is the preference of the foreign F economy for goods produced by H.Riggi-Venditti Conference in memory of Carlo Giannini

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Page 22: Time varying e ects of oil price shocks on euro area exports · Time varying e ects of oil price shocks on euro area exports F. Venditti (Banca d’Italia) and M. Riggi (Banca d’Italia)

The consolidation of the trade relationship with emergingeconomies

IRFs of exports from H to an oil supply shock

0 2 4 6 8 10 12 14 16 18 20-0.18

-0.16

-0.14

-0.12

-0.1

-0.08

-0.06

-0.04

-0.02

0

0.02

−©− χ∗= 0.05−�− χ∗= 0.30− ∗− χ∗= 1.00

χ∗ is the preference of the foreign F economy for goods produced by H.

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Page 23: Time varying e ects of oil price shocks on euro area exports · Time varying e ects of oil price shocks on euro area exports F. Venditti (Banca d’Italia) and M. Riggi (Banca d’Italia)

The consolidation of the trade relationship with emergingeconomies

To sum up:

When higher oil prices are driven by faster growth in F , the positive conditional

correlation between the real price of oil and exports in H can be amplified by a

tighter trade relationship with F .

However, this structural change is conducive to larger negative responses of exports

to oil supply shocks. The rationale is as follows:

When the share of H-produced goods in the consumption basket of F goes up (i.e.

when χ∗ rises), all other things held constant, the ratio of exports in H towards F(for which oil supply shocks are recessionary) over total exports increases and,

specularly, the ratio of exports in H towards the oil producing country (for which oil

supply shocks are expansionary) over total exports falls. This explains why when χ∗

rises the contractionary effects of the oil supply shock on exports in H become

larger.

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Page 24: Time varying e ects of oil price shocks on euro area exports · Time varying e ects of oil price shocks on euro area exports F. Venditti (Banca d’Italia) and M. Riggi (Banca d’Italia)

Lower oil shares

Oil shares in the euro area

.00

.01

.02

.03

.04

.05

.06

1970 1975 1980 1985 1990 1995 2000 2005 2010

FRANCE GERMANY

ITALY SPAIN

We simulate the theoretical effects on exports’ response to oil demand and supply

shocks of a decrease in αm, i.e. oil shares’ in production.

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Page 25: Time varying e ects of oil price shocks on euro area exports · Time varying e ects of oil price shocks on euro area exports F. Venditti (Banca d’Italia) and M. Riggi (Banca d’Italia)

Lower oil shares

IRFs of exports from H to an oil demand shock

0 2 4 6 8 10 12 14 16 18 201

2

3

4

5

6

7

8

9

−©− αm= 0.040−�− αm= 0.025− ∗− αm= 0.010

αm, is oil share in production.

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Page 26: Time varying e ects of oil price shocks on euro area exports · Time varying e ects of oil price shocks on euro area exports F. Venditti (Banca d’Italia) and M. Riggi (Banca d’Italia)

Lower oil shares

IRFs of exports from H to an oil supply shock

0 2 4 6 8 10 12 14 16 18 20-0.2

-0.18

-0.16

-0.14

-0.12

-0.1

-0.08

-0.06

-0.04

-0.02

0

−©− αm= 0.040−�− αm= 0.025− ∗− αm= 0.010

αm, is oil share in production.

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Page 27: Time varying e ects of oil price shocks on euro area exports · Time varying e ects of oil price shocks on euro area exports F. Venditti (Banca d’Italia) and M. Riggi (Banca d’Italia)

Lower oil shares

To sum up:

Lower oil shares reduce the negative impact of an oil supply disruption on exports

by reducing the recessionary effects of oil supply shocks on oil importing economies

trading with each other

Lower oil shares have a negligible impact on the response of exports to foreign

productivity shocks, because in this case the bulk of exports movements in H

depends on the cyclical expansion in F which is almost unaffected by the change in

the shares of oil.

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Page 28: Time varying e ects of oil price shocks on euro area exports · Time varying e ects of oil price shocks on euro area exports F. Venditti (Banca d’Italia) and M. Riggi (Banca d’Italia)

A new advantageous flood of petrodollars towards the euroarea

Higgings et al (2006) report evidence on changes in the geography of petrodollar

recycling: oil exporters are importing more goods from the euro-area today than

they were 25 years ago and fewer from the US.

Export shares towards OPEC Countries

0

2

4

6

GERMANY ITALY FRANCE SPAIN

1988

2011

We simulate the theoretical effects on exports responses to oil demand and supply

shocks of an increase in (1 − vO ), i.e. the preference of the oil producing

economy for goods produced by H.

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Page 29: Time varying e ects of oil price shocks on euro area exports · Time varying e ects of oil price shocks on euro area exports F. Venditti (Banca d’Italia) and M. Riggi (Banca d’Italia)

A new advantageous flood of petrodollars towards the euroarea

IRFs of exports from H to an oil supply shock

0 2 4 6 8 10 12 14 16 18 20-0.2

-0.18

-0.16

-0.14

-0.12

-0.1

-0.08

-0.06

-0.04

-0.02

−©− (1 − vO ) = 0.00−�− (1 − vO ) = 0.50− ∗− (1 − vO) = 1.00

(1 − vO ) is the preference of the oil producing economy for goods produced by H.

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Page 30: Time varying e ects of oil price shocks on euro area exports · Time varying e ects of oil price shocks on euro area exports F. Venditti (Banca d’Italia) and M. Riggi (Banca d’Italia)

A new advantageous flood of petrodollars towards the euroarea

IRFs of exports from H to an oil demand shock

0 2 4 6 8 10 12 14 16 18 201

2

3

4

5

6

7

8

9

−©− (1 − vO ) = 0.00−�− (1 − vO ) = 0.50− ∗− (1 − vO) = 1.00

(1 − vO ) is the preference of the oil producing economy for goods produced by H.

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Page 31: Time varying e ects of oil price shocks on euro area exports · Time varying e ects of oil price shocks on euro area exports F. Venditti (Banca d’Italia) and M. Riggi (Banca d’Italia)

A new advantageous flood of petrodollars towards the euroarea

To sum up:

When the fraction of petrodollars recycled back home to purchase H- produced

goods increases, the negative effects of oil supply shocks on exports in H go down

in absolute value. Indeed, oil supply shocks are expansionary for the oil producing

economy and recessionary for oil importing countries. Hence, exports in H towards

the oil producing economy rise, whereas they fall towards F . The increase in

(1 − vO) amplifies the positive response of exports towards the oil producing

country, thus lessening their overall contraction.

The implications conditional on foreign productivity shocks are more negligible, as

in this case the bulk of the exports’ movements in H depends on the trade

relationship with F rather than on that with the oil producing country.

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Page 32: Time varying e ects of oil price shocks on euro area exports · Time varying e ects of oil price shocks on euro area exports F. Venditti (Banca d’Italia) and M. Riggi (Banca d’Italia)

Lower markups

Global integration, new ICT technologies and the process of European integration

increased competitive pressures.

We simulate the theoretical effects on exports’ response to oil demand and supply

shocks of an increase in ε, i.e. the elasticity of substitution among differentiated

goods, implying lower desired markups εε−1 .

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Page 33: Time varying e ects of oil price shocks on euro area exports · Time varying e ects of oil price shocks on euro area exports F. Venditti (Banca d’Italia) and M. Riggi (Banca d’Italia)

Lower markups

IRFs of exports from H to an oil supply shock

0 2 4 6 8 10 12 14 16 18 20-0.2

-0.18

-0.16

-0.14

-0.12

-0.1

-0.08

-0.06

-0.04

-0.02

−©− ε= 3.0 (desired markup 50%)−�− ε= 6.0 (desired markup 20%)− ∗− ε= 11.0 (desired markup 10%)

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Page 34: Time varying e ects of oil price shocks on euro area exports · Time varying e ects of oil price shocks on euro area exports F. Venditti (Banca d’Italia) and M. Riggi (Banca d’Italia)

Lower markups

IRFs of exports from H to an oil demand shock

0 2 4 6 8 10 12 14 16 18 201

2

3

4

5

6

7

8

9

−©− ε= 3.0 (desired markup 50%)−�− ε= 6.0 (desired markup 20%)− ∗− ε= 11.0 (desired markup 10%)

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Page 35: Time varying e ects of oil price shocks on euro area exports · Time varying e ects of oil price shocks on euro area exports F. Venditti (Banca d’Italia) and M. Riggi (Banca d’Italia)

Lower markups

Lower desired markups reduce the negative impact of an oil supply disruption on

exports by flattening the Phillips curve of oil importing economies. This dampens

the inflationary spiral of oil price increases and consequently their recessionary

effects. Milder recessions imply that the contraction of exports in these countries,

that trade with each other, turns out to be smaller.

The positive response of exports to faster foreign growth is amplified with lower

desired markups. However the quantitative impact is negligible.

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Page 36: Time varying e ects of oil price shocks on euro area exports · Time varying e ects of oil price shocks on euro area exports F. Venditti (Banca d’Italia) and M. Riggi (Banca d’Italia)

Conclusions

We have documented some changes in the correlation between oil prices andeuro area exports over the past four decades

Overall we find a diminished effect of oil supply shocks on euro area exports

An increased responsiveness of euro area exports to foreign productivityshocks that yield oil price increases

Of the four structural explanations we investigate:1 stronger integration can account for the changes in the effect of oil demand

shocks but generates changes in the response to oil supply shocks that are atodds with the empirical findings

2 higher reflow from OPEC-higher competition-lower oil shares can rationalisethe changing effects of oil supply shocks but seem to have a negligible effecton the evolution of the response to oil demand shocks

A combination of all the above factors must have been at play

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Page 37: Time varying e ects of oil price shocks on euro area exports · Time varying e ects of oil price shocks on euro area exports F. Venditti (Banca d’Italia) and M. Riggi (Banca d’Italia)

Oil importers

H and F share identical preferences, technology and market structure though shocks may

be imperfectly correlated

Firms:

Intermediate firms are monopolistic competitors ( εε−1 measures the desired

markup, where ε is the elasticity of substitution among differentiated goods).They produce a differentiated intermediate good, using oil and employmentYt= AtN

αnt Mαm

H,t and set prices in staggered fashion (θ is the Calvo parameter)Final goods producers are perfectly competitive. They combine intermediateinputs into final output which they sell to households

Consumption:

Households consume a domestically produced good and a good imported fromthe other country.

Aggregate consumption in H: Ct ≡ ΘCγF ,tC

1−γH,t , where γ ≡ (1 − n) χ and χ is

the degree of trade openness of H

Aggregate consumption in F: C ∗t ≡ Θ∗

(C ∗F ,t

)1−γ∗ (C ∗H,t

)γ∗

, where γ∗ ≡ nχ∗

and χ∗ is the degree of trade openness in F .They have access to a complete set of Arrow Debreu securities which can betraded both domestically and internationally

the model

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Page 38: Time varying e ects of oil price shocks on euro area exports · Time varying e ects of oil price shocks on euro area exports F. Venditti (Banca d’Italia) and M. Riggi (Banca d’Italia)

Oil importers

H and F share identical preferences, technology and market structure though shocks may

be imperfectly correlated

Firms:

Intermediate firms are monopolistic competitors ( εε−1 measures the desired

markup, where ε is the elasticity of substitution among differentiated goods).They produce a differentiated intermediate good, using oil and employmentYt= AtN

αnt Mαm

H,t and set prices in staggered fashion (θ is the Calvo parameter)

Final goods producers are perfectly competitive. They combine intermediateinputs into final output which they sell to households

Consumption:

Households consume a domestically produced good and a good imported fromthe other country.

Aggregate consumption in H: Ct ≡ ΘCγF ,tC

1−γH,t , where γ ≡ (1 − n) χ and χ is

the degree of trade openness of H

Aggregate consumption in F: C ∗t ≡ Θ∗

(C ∗F ,t

)1−γ∗ (C ∗H,t

)γ∗

, where γ∗ ≡ nχ∗

and χ∗ is the degree of trade openness in F .They have access to a complete set of Arrow Debreu securities which can betraded both domestically and internationally

the model

Riggi-Venditti Conference in memory of Carlo GianniniConference in memory of Carlo Giannini Pavia, March 25-26 2014 36

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Page 39: Time varying e ects of oil price shocks on euro area exports · Time varying e ects of oil price shocks on euro area exports F. Venditti (Banca d’Italia) and M. Riggi (Banca d’Italia)

Oil importers

H and F share identical preferences, technology and market structure though shocks may

be imperfectly correlated

Firms:

Intermediate firms are monopolistic competitors ( εε−1 measures the desired

markup, where ε is the elasticity of substitution among differentiated goods).They produce a differentiated intermediate good, using oil and employmentYt= AtN

αnt Mαm

H,t and set prices in staggered fashion (θ is the Calvo parameter)Final goods producers are perfectly competitive. They combine intermediateinputs into final output which they sell to households

Consumption:

Households consume a domestically produced good and a good imported fromthe other country.

Aggregate consumption in H: Ct ≡ ΘCγF ,tC

1−γH,t , where γ ≡ (1 − n) χ and χ is

the degree of trade openness of H

Aggregate consumption in F: C ∗t ≡ Θ∗

(C ∗F ,t

)1−γ∗ (C ∗H,t

)γ∗

, where γ∗ ≡ nχ∗

and χ∗ is the degree of trade openness in F .They have access to a complete set of Arrow Debreu securities which can betraded both domestically and internationally

the model

Riggi-Venditti Conference in memory of Carlo GianniniConference in memory of Carlo Giannini Pavia, March 25-26 2014 36

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Page 40: Time varying e ects of oil price shocks on euro area exports · Time varying e ects of oil price shocks on euro area exports F. Venditti (Banca d’Italia) and M. Riggi (Banca d’Italia)

Oil importers

H and F share identical preferences, technology and market structure though shocks may

be imperfectly correlated

Firms:

Intermediate firms are monopolistic competitors ( εε−1 measures the desired

markup, where ε is the elasticity of substitution among differentiated goods).They produce a differentiated intermediate good, using oil and employmentYt= AtN

αnt Mαm

H,t and set prices in staggered fashion (θ is the Calvo parameter)Final goods producers are perfectly competitive. They combine intermediateinputs into final output which they sell to households

Consumption:

Households consume a domestically produced good and a good imported fromthe other country.

Aggregate consumption in H: Ct ≡ ΘCγF ,tC

1−γH,t , where γ ≡ (1 − n) χ and χ is

the degree of trade openness of H

Aggregate consumption in F: C ∗t ≡ Θ∗

(C ∗F ,t

)1−γ∗ (C ∗H,t

)γ∗

, where γ∗ ≡ nχ∗

and χ∗ is the degree of trade openness in F .They have access to a complete set of Arrow Debreu securities which can betraded both domestically and internationally

the model

Riggi-Venditti Conference in memory of Carlo GianniniConference in memory of Carlo Giannini Pavia, March 25-26 2014 36

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Page 41: Time varying e ects of oil price shocks on euro area exports · Time varying e ects of oil price shocks on euro area exports F. Venditti (Banca d’Italia) and M. Riggi (Banca d’Italia)

Oil importers

H and F share identical preferences, technology and market structure though shocks may

be imperfectly correlated

Firms:

Intermediate firms are monopolistic competitors ( εε−1 measures the desired

markup, where ε is the elasticity of substitution among differentiated goods).They produce a differentiated intermediate good, using oil and employmentYt= AtN

αnt Mαm

H,t and set prices in staggered fashion (θ is the Calvo parameter)Final goods producers are perfectly competitive. They combine intermediateinputs into final output which they sell to households

Consumption:

Households consume a domestically produced good and a good imported fromthe other country.

Aggregate consumption in H: Ct ≡ ΘCγF ,tC

1−γH,t , where γ ≡ (1 − n) χ and χ is

the degree of trade openness of H

Aggregate consumption in F: C ∗t ≡ Θ∗

(C ∗F ,t

)1−γ∗ (C ∗H,t

)γ∗

, where γ∗ ≡ nχ∗

and χ∗ is the degree of trade openness in F .

They have access to a complete set of Arrow Debreu securities which can betraded both domestically and internationally

the model

Riggi-Venditti Conference in memory of Carlo GianniniConference in memory of Carlo Giannini Pavia, March 25-26 2014 36

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Page 42: Time varying e ects of oil price shocks on euro area exports · Time varying e ects of oil price shocks on euro area exports F. Venditti (Banca d’Italia) and M. Riggi (Banca d’Italia)

Oil importers

H and F share identical preferences, technology and market structure though shocks may

be imperfectly correlated

Firms:

Intermediate firms are monopolistic competitors ( εε−1 measures the desired

markup, where ε is the elasticity of substitution among differentiated goods).They produce a differentiated intermediate good, using oil and employmentYt= AtN

αnt Mαm

H,t and set prices in staggered fashion (θ is the Calvo parameter)Final goods producers are perfectly competitive. They combine intermediateinputs into final output which they sell to households

Consumption:

Households consume a domestically produced good and a good imported fromthe other country.

Aggregate consumption in H: Ct ≡ ΘCγF ,tC

1−γH,t , where γ ≡ (1 − n) χ and χ is

the degree of trade openness of H

Aggregate consumption in F: C ∗t ≡ Θ∗

(C ∗F ,t

)1−γ∗ (C ∗H,t

)γ∗

, where γ∗ ≡ nχ∗

and χ∗ is the degree of trade openness in F .They have access to a complete set of Arrow Debreu securities which can betraded both domestically and internationally

the model

Riggi-Venditti Conference in memory of Carlo GianniniConference in memory of Carlo Giannini Pavia, March 25-26 2014 36

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Page 43: Time varying e ects of oil price shocks on euro area exports · Time varying e ects of oil price shocks on euro area exports F. Venditti (Banca d’Italia) and M. Riggi (Banca d’Italia)

Oil producer

Oil is costless to transport and is non storable. Oil producer does not have access

to world capital markets and simply recirculates the revenues from its production of

oil on final goods produced in H and F .

Consumption CO is a composite index of goods produced in H and in F :

COt ≡ Γ

(COF ,t

)vO(COH,t

)1−vO, where (1−vO) is the share of H-produced

goods in the consumer’s basket, COH,t is consumption of the H-produced goods,

and COF ,t is consumption of the foreign F country’s goods

Oil price is determined in equilibrium

Oil demand of the world economy

is:Mdt = n

∫ 10 MH,t (i) di + (1 − n)

∫ 10 MF ,t (i) di

The oil endowment Mst is assumed to follow a first order autoregressive process

Mst =

(Ms

t−1

)ρm eut , where ut is an i.i.d. shock to oil supply.

the model

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Page 44: Time varying e ects of oil price shocks on euro area exports · Time varying e ects of oil price shocks on euro area exports F. Venditti (Banca d’Italia) and M. Riggi (Banca d’Italia)

Oil producer

Oil is costless to transport and is non storable. Oil producer does not have access

to world capital markets and simply recirculates the revenues from its production of

oil on final goods produced in H and F .

Consumption CO is a composite index of goods produced in H and in F :

COt ≡ Γ

(COF ,t

)vO(COH,t

)1−vO, where (1−vO) is the share of H-produced

goods in the consumer’s basket, COH,t is consumption of the H-produced goods,

and COF ,t is consumption of the foreign F country’s goods

Oil price is determined in equilibrium

Oil demand of the world economy

is:Mdt = n

∫ 10 MH,t (i) di + (1 − n)

∫ 10 MF ,t (i) di

The oil endowment Mst is assumed to follow a first order autoregressive process

Mst =

(Ms

t−1

)ρm eut , where ut is an i.i.d. shock to oil supply.

the model

Riggi-Venditti Conference in memory of Carlo GianniniConference in memory of Carlo Giannini Pavia, March 25-26 2014 37

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Page 45: Time varying e ects of oil price shocks on euro area exports · Time varying e ects of oil price shocks on euro area exports F. Venditti (Banca d’Italia) and M. Riggi (Banca d’Italia)

Oil producer

Oil is costless to transport and is non storable. Oil producer does not have access

to world capital markets and simply recirculates the revenues from its production of

oil on final goods produced in H and F .

Consumption CO is a composite index of goods produced in H and in F :

COt ≡ Γ

(COF ,t

)vO(COH,t

)1−vO, where (1−vO) is the share of H-produced

goods in the consumer’s basket, COH,t is consumption of the H-produced goods,

and COF ,t is consumption of the foreign F country’s goods

Oil price is determined in equilibrium

Oil demand of the world economy

is:Mdt = n

∫ 10 MH,t (i) di + (1 − n)

∫ 10 MF ,t (i) di

The oil endowment Mst is assumed to follow a first order autoregressive process

Mst =

(Ms

t−1

)ρm eut , where ut is an i.i.d. shock to oil supply.

the model

Riggi-Venditti Conference in memory of Carlo GianniniConference in memory of Carlo Giannini Pavia, March 25-26 2014 37

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Page 46: Time varying e ects of oil price shocks on euro area exports · Time varying e ects of oil price shocks on euro area exports F. Venditti (Banca d’Italia) and M. Riggi (Banca d’Italia)

Oil supply shock

Theoretical IRFs to an oil supply shock

0 5 10 15 20−0.35

−0.3

−0.25

−0.2

−0.15

−0.1

−0.05

0

0.05Exports

0 5 10 15 20−0.2

−0.15

−0.1

−0.05

0Foreign activity

0 5 10 15 200

2

4

6

8

10

12Real price of oil

0 5 10 15 20−10

−8

−6

−4

−2

0Oil supply

sign restrictions

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Page 47: Time varying e ects of oil price shocks on euro area exports · Time varying e ects of oil price shocks on euro area exports F. Venditti (Banca d’Italia) and M. Riggi (Banca d’Italia)

Oil demand shock

Theoretical IRFs to an oil demand shock

0 5 10 15 200

2

4

6

8

10Exports

0 5 10 15 201

2

3

4

5

6Foreign activity

0 5 10 15 20−2

0

2

4

6

8

10

12Real price of oil

0 5 10 15 20−5

0

5x 10

−17 Oil supply

sign restrictions

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