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Fiscal delegation in a monetary union:
Instrument assignment and stabilization properties
Henrique S. Basso and James Costain1
Banco de Espa˜na
March 2017
1
Opinions expressed in this presentation are those of the authors. They do not
necessarily coincide with those of the Banco de Espa˜na or the Eurosystem.
Basso/Costain (BdE) Fiscal delegation March 2017 1 / 55
Problem: debt bias and volatility in a monetary union
Joining a monetary union increases sovereign debt fluctuations
and levels
Fiscal policy substitutes for independent monetary policy as
stabilization tool (Mundell 1961)
Monetary union increases debt bias (Beetsma/Bovenberg 1999;
Chari/Kehoe 2007; Krogstrup/Wyplosz 2009).
Cross-country banking flows amplified (Bruche/Su´arez 2010;
Obstfeld 2013)
Independent monetary policy unavailable to resist speculative attacks
(Eichengreen/Hausmann 2005, DeGrauwe 2011)
Risk of crises: risk premium and debt can spiral out of control
Monetary/financial mechanisms to offset crises inviable because more
solvent governments fear moral hazard of less solvent ones
Basso/Costain (BdE) Fiscal delegation March 2017 2 / 55
Mechanisms to restrain deficit bias
The Union needs a credible way of ensuring fiscal sustainability.
What are the options??
Mechanisms requiring
government adjustments
Mechanisms not requiring
government adjustments
Parametric
budget
rules
Stability/Growth Pact
Swiss “debt brake”
Defined-contribution pensions
Spanish pension “revaluation index”
Fiscal
monitoring
councils
National fiscal councils
European Fiscal Board
Fiscal
delegation
Delegated deficit limit
Eichengreen et al ’97
Calmfors ’03
Wyplosz ’05
Maskin ’16
Delegated instruments
Gruen ’01
Calmfors ’03
Costain/de Blas ’12
Basso/Costain ’16
Basso/Costain (BdE) Fiscal delegation March 2017 3 / 55
Mechanisms to restrain deficit bias
The Union needs a credible way of ensuring fiscal sustainability.
What are the options??
Mechanisms requiring
government adjustments
Mechanisms not requiring
government adjustments
Parametric
budget
rules
Stability/Growth Pact
Swiss “debt brake”
Defined-contribution pensions
Spanish pension “revaluation index”
Fiscal
monitoring
councils
National fiscal councils
European Fiscal Board
Fiscal
delegation
Delegated deficit limit
Eichengreen et al ’97
Calmfors ’03
Wyplosz ’05
Maskin ’16
Delegated instruments
Gruen ’01
Calmfors ’03
Costain/de Blas ’12
Basso/Costain ’16
This paper: dynamic effects of delegated fiscal instruments in a
monetary union.
Basso/Costain (BdE) Fiscal delegation March 2017 3 / 55
Delegated fiscal instruments in Europe?
European Fiscal Board → European Fiscal Authority!
EFB will advise and monitor member states, starting 2017
But EFA would also set a fiscal shift parameter in each member
state
Example: Gruen (’01) proposes a shifter x in the tax code:
tax ratei,t = F(incomei,t, lots of other stuffi,t)(1 + xt).
A politically feasible quid pro quo:
Members voluntarily delegate one or more fiscal shifters to EFA.
If EFA judges that the instruments give it effective control of debt,
member becomes eligible for a European risk-sharing mechanism
Example: fiscal delegation could be a prerequisite for membership in
Single Deposit Insurance system of Banking Union
Basso/Costain (BdE) Fiscal delegation March 2017 4 / 55
This paper
Compare several policy games to analyze macro & poli-econ
implications of fiscal instrument delegation in a monetary union
Fiscal delegation is not a new idea (Blinder ’97, . . . , Maskin ’16)
But it has not been formally modeled
Our previous paper (Basso/Costain CESifo EcStud ’16) showed
that fiscal delegation could have a large steady-state impact on
debt and welfare
Basso/Costain (BdE) Fiscal delegation March 2017 5 / 55
This paper
Compare several policy games to analyze macro & poli-econ
implications of fiscal instrument delegation in a monetary union
Fiscal delegation is not a new idea (Blinder ’97, . . . , Maskin ’16)
But it has not been formally modeled
Our previous paper (Basso/Costain CESifo EcStud ’16) showed
that fiscal delegation could have a large steady-state impact on
debt and welfare
This paper: Dynamic implications of fiscal delegation.
Do large steady state gains justify short-run costs?
Does business cycle stabilization suffer, when budget balance is
delegated to a fiscal authority?
How do the answers vary, depending on which instruments are
delegated?
Basso/Costain (BdE) Fiscal delegation March 2017 5 / 55
Policy games– some benchmarks
Rogoff (1985), “Conservative central banker”
Inflation-averse CB undoes inflation bias due to lack of commitment
Dixit and Lambertini (2003), Invariance result for monetary union
Commitment/discretion irrelevant if CB and govs have same
preferences
Alesina/Tabellini (1990), impatience/deficit bias from party politics
Alternating spending priorities leads to excessive debt
Beetsma/Bovenberg (1999), Chari/Kehoe (2007)
Deficit bias in monetary union if CB not “conservative” enough...
... and this is bad if governments are not patient enough.
Basso/Costain (2016), Many forms of deficit bias in monetary union
Insufficiently conservative CB / Desire to inflate away nominal debt
Impatient government / Interest rate contagion
Hence debt-averse independent fiscal authority improves welfare
Basso/Costain (BdE) Fiscal delegation March 2017 6 / 55
ECONOMIC ENVIRONMENT
Basso/Costain (BdE) Fiscal delegation March 2017 7 / 55
Economy of region j - key features
Output varies with surprise inflation and taxes:
(Alesina/Tabellini 1987)
xj,t = x + ν(πt − πe
t − τj,t)
Loss function depends on inflation, output, and public services:
(Leith/Wren-Lewis 2011)
LSj =
∞
t=0
βt
S απS π2
t + (xj,t − ˜x)2
+ αgS (gj,t − ˜gj,t)2
Demand for public services follows an AR1 process:
˜gj,t = ˜g + sj,t (1)
sj,t = ρsj,t−1 + j,t (2)
Public services are a composite of many inputs:
gj,t =
1
0
ωj,k,t (gj,k,t)
η−1
η
dk
η
η−1
.
Basso/Costain (BdE) Fiscal delegation March 2017 8 / 55
Fiscal environment of region j
Each region faces its own government budget constraint:
dj,t = R ¯dt−1 + χ(πe
t − πt) dj,t−1 + qgj,t − τj,t − κπt
Ex ante real interest rate: R( ¯dt) = 1/βS + δ ¯dt
Interest rate contagion: R( ¯dt) depends on average debt
¯dt ≡ 1
J
J
j=1 dj,t, rather than country-specific debt
Ex post real interest rate: R ¯dt−1 + χ(πe
t − πt)
Erosion of nominal debt: Fraction of nominal debt is χ
Price of public services q may be low or high:
q =
qL = (Eωη)1/1−η if ωj,k,t is observed
qH = (Eω)η/1−η if ωj,k,t is not observed
Basso/Costain (BdE) Fiscal delegation March 2017 9 / 55
POLICY GAMES
Basso/Costain (BdE) Fiscal delegation March 2017 10 / 55
Policy games (with debt as control variable)
Institutional preferences
Benevolent, but weight parameters may differ from social welfare
Assume elected institutions are less patient than society is
Assume an institution with a simple, clear, feasible mandate cares
more about that objective than society does
Basso/Costain (BdE) Fiscal delegation March 2017 11 / 55
Policy games (with debt as control variable)
Institutional preferences
Benevolent, but weight parameters may differ from social welfare
Assume elected institutions are less patient than society is
Assume an institution with a simple, clear, feasible mandate cares
more about that objective than society does
Monetary union (scenario M)
CB sets inflation
Regional Governments set tax and debt
⇒ government spending determined by budget constraint.
Fiscal delegation (scenarios Fj , F)
CB sets inflation
Regional Governments set taxes
Fiscal Authority(ies) set debt
⇒ government spending determined by budget constraint.
Single country with independent policy (scenario I)
Federal government for monetary union (scenario G)
Basso/Costain (BdE) Fiscal delegation March 2017 11 / 55
Generic Policy Game - Regional
Government Gj or fiscal authority Fj that acts in region j only:
V Ij
t (Ωt ) =
max
ΘIj
t
−1
2
απI π2
t + xj,t + ν(πt − πe
t − τj,t ) − ˜x
2
+αgI gj,t − ˜gj,t
2
+ αdI dj,t − ˜dj,t
2
+ βI Et V Ij
t+1 (Ωt+1)
s.t. dj,t − R ¯dt−1 + χ(πe
t − πt ) dj,t−1 + τj,t + κπt − qj,t gj,t ,
where
Ωt ≡ (dt−1, st−1, t) is the state of the economy
ΘIj
t is the set of instruments affected by actions of player Ij
Basso/Costain (BdE) Fiscal delegation March 2017 12 / 55
Generic Policy Game - Union
Central bank or fiscal authority I ∈ {C, F} controls instruments affecting
all regions j:
V I
t (Ωt ) =
max
ΘI
t
−1
2
απI π2
t +
1
J
J
j=1
xj,t + ν(πt − πe
t − τj,t ) − ˜x
2
+αgI gj,t − ˜gj,t
2
+ αdI dj,t − ˜dj,t
2
+ βI Et V I
t+1 (Ωt+1)
s.t. dj,t − R ¯dt−1 + χ(πe
t − πt ) dj,t−1 + τj,t + κπt − qj,t gj,t ∀j,
where
Ωt ≡ (dt−1, st−1, t) is the state of the economy
ΘI
t is the set of instruments affected by actions of player I
Basso/Costain (BdE) Fiscal delegation March 2017 13 / 55
Welfare benchmark: Social planner
Benchmark: an omniscient, cooperative, committed Pareto planner:
V P
t dt−1, st−1 =
max
πt , πe
t , {dj,t , τj,t , gj,t }J
j=1
−1
2
απS π2
t
+
1
J
J
j=1
x + ν(πt − πe
t − τj,t ) − ˜x
2
+ αgS gj,t − ˜gj,t
2
+βS Et V P
t+1 dt , st
s.t. dj,t = R( ¯dt−1) + χ(πe
t − πt ) dj,t−1 + qLgj,t − τj,t − κπt ∀j.
Omniscient: q = qL
Cooperative: planner chooses τj,t, dj,t for all j
Committed: commits to contingent plan πt = Π(dt−1, st−1, t), and
thus alters expectations πe
t = Et−1πt
Pareto: planner respects J distinct budget constraints
Basso/Costain (BdE) Fiscal delegation March 2017 14 / 55
Monetary union (benchmark scenario M)
Instrument assignment:
ΘC
t ≡ {πt, {gj,t}J
j=1}
Θ
Gj
t ≡ {τjt, djt, gj,t}
Intratemporal trade-offs
ν(xj,t − ˜x) =
αgS
qL
(gj,t − ˜gj,t),
απC πt
1+κ+χ ¯dt−1
= −
αgS
qL j
gj,t −˜gj,t
J
Symmetric equilibrium is determined by
¯dt = (R( ¯dt−1) + χ(πe
t − πt)) ¯dt−1 − ˘κ(dt−1)˘πt + ˜zt,
˘πt = βG R( ¯dt)Et ˘πt+1,
where
˘πt ≡ πt
1+κ+χdt
, ˜zt ≡ ˜x−x
ν
+qL ˜gt , ˘κ(dt )≡κ(1+κ+χdt )+
απC
αgS
q2
L+
αgS
ν2 .
Basso/Costain (BdE) Fiscal delegation March 2017 15 / 55
Solution method: symmetric equilibrium
Two policy functions summarize symmetric equilibrium of scenario M:
Adjusted inflation: ˘πt = πt
1+κ+χdt−1
= ˘IM
(Ωt)
Gross borrowing: dt = BM
(Ωt)
Policies must satisfy budget balance, and Euler equation:
BM
(Ωt ) =R (dt−1) dt−1 + (1 + χdt−1)(Et−1[IM
(Ωt )] − IM
(Ωt )) − ˘κ(dt−1)˘IM
(Ωt ) + ˜zt ,
˘IM
(Ωt ) = βG β−1
S + δBM
(Ωt ) Et ˘IM
(BM
(Ωt ), st , t+1).
Solve the functional equations:
Approximate BM
(Ωt) and ˘IM
(Ωt) as Chebyshev polynomials
Order (4,2,2) in the state variable Ωt ≡ (dt−1, st−1, t)
Basso/Costain (BdE) Fiscal delegation March 2017 16 / 55
RESULTS
with
DEBT AS A CONTROL VARIABLE
Basso/Costain (BdE) Fiscal delegation March 2017 17 / 55
Equilibrium for Policy Games with Debt as Control Variable
For all cases (except G), budget constraint reduces to:
¯dt =
1
βS
+ δ ¯dt−1
¯dt−1 + (πe
t − πt )(1 + χ ¯dt−1) − ˘κ( ¯dt−1)˘πt + ¯˜zt , (3)
Game Choice Variables Euler Equation
I
ΘC
t ≡ {πt , gt }
ΘG
t ≡ {τt , dt , g,t }
˘πt = βG Et
1
βS
+ 2δ ¯dt + γ + χ απG
απC
∂πt+1
∂dt
˘πt+1
M
ΘC
t ≡ {πt , {gj,t }J
j=1}
Θ
Gj
t ≡ {τjt , djt , gj,t }
˘πt = βG
1
βS
+ δ ¯dt Et ˘πt+1
Fj
ΘC
t ≡ {πt , {gj,t }J
j=1}
Θ
Gj
t ≡ {τjt , gj,t }
Θ
Fj
t ≡ {djt , gj,t }
˘πt = αdF
απC
¯dt + βF
1
βS
+ δ ¯dt Et ˘πt+1
F
ΘC
t ≡ {πt , {gj,t }J
j=1}
Θ
Gj
t ≡ {τjt , gj,t }
Θ
Fj
t ≡ {djt , gj,t }
˘πt = αdF
απC
¯dt + βF Et
1
βS
+ 2δ ¯dt + γ + χ απG
απC
∂πt+1
∂ ¯dt
˘πt+1
Where ˘πt ≡ πt
1+κ+χ ¯dt−1
. Note R( ¯dt ) = 1
βS
+ δ ¯dt , R( ¯dt ) + R ( ¯dt ) ¯dt = 1
βS
+ 2δ ¯dt
Basso/Costain (BdE) Fiscal delegation March 2017 18 / 55
Figure: Borrowing and inflation (numerical example: planner)
• Planner’s solution
Figure: Borrowing and inflation (numerical example: one country)
• Effect of government discretion and impatience
Figure: Borrowing and inflation (numerical example: monetary union)
• Effect of common pool problems
Figure: Borrowing and inflation (numerical example: Regional fiscal delegation)
• Effect of patience and debt aversion
Figure: Borrowing and inflation (numerical example: Union-level fiscal
delegation)
• Effect of eliminating common pool problems
Figure: Borrowing and inflation (numerical example: Federal government)
• Alternative: create federal government
Our baseline calibration
Time period: annual. Target R = 1.02 at zero debt, R = 1.05 at
100% debt.
βS = (1.02)−1
, δ = 0.03.
Numeraire: private sector annual output. Target debt=2 in steady
state of monetary union.
βG = (1.08)−1
, δ = 0.03.
Half of debt is nominal, χ = 0.5; Money base is 20% of output:
κ = 0.2.
Assume elasticity of output to taxes is ν = 1. Target taxes=0.5 in
steady state of monetary union.
x = xM
ss + ντM
ss = 1.5.
Can then back out steady state goverment spending from budget
constraint: gM
ss = 0.36.
Target inflation=10% in steady state of monetary union.
Back out αgS and απC from first-order conditions between g, x, and
π.
αgS = 0.862, απC = 88.
Basso/Costain (BdE) Fiscal delegation March 2017 25 / 55
Welfare
Social welfare in a symmetric equilibrium of scenario S:
W S
(dt−1, st−1, t) = −
1
J
J
j=1
LSj
Welfare at steady state W S
ss ≡ W S(dS
ss, 0).
Plug policy functions into Bellman equation to derive polynomial
approximation to welfare:
W S
(Ωt ) = απI IS
(Ωt )2
+ XS
(Ωt ) − ˜x
2
+αgI GS
(Ωt ) − ˜gt
2
+ βS Et W S
(BS
(Ωt ), st , t+1)
Basso/Costain (BdE) Fiscal delegation March 2017 26 / 55
Table: Debt, inflation, and welfare in scenarios S where debt is a control variablea
Transition Crisis cost,a,b
Debt Inflation Welfare gaina Crisis costa,b fixing debt
¯dS
ss πS
ss W S
ss − W MU
ss W S
(dMU
ss ,0)−W MU
ss W S
(dS
ss ,
g
0 )−W S
ss W S
(0,
g
0 )−W S
(0,0)
Scenario P: Planner
0.1% 2.0% +19.4%
Scenario I: single country with independent central bank
71.4% 7.0% +15.3%
Scenario MU: status quo monetary union
199.7% 10.0% 0%
Scenario Fj: Monetary union with regional fiscal authorities
17.9% 5.8% +18.4%
Scenario F: Monetary union with union-wide fiscal authority
8.7% 5.6% +18.7%
Scenario G: Monetary union with federal government
78.3% 5.5% +14.8%
aWelfare changes expressed as equivalent variations of steady state private sector output.
b“Crisis” is g
0 = 0.02, with autocorrelation 0.7.
Table: Debt, inflation, and welfare in scenarios S where debt is a control variablea
Transition Crisis cost,a,b
Debt Inflation Welfare gaina Crisis costa,b fixing debt
¯dS
ss πS
ss W S
ss − W MU
ss W S
(dMU
ss ,0)−W MU
ss W S
(dS
ss ,
g
0 )−W S
ss W S
(0,
g
0 )−W S
(0,0)
Scenario P: Planner
0.1% 2.0% +19.4% +14.8%
Scenario I: single country with independent central bank
71.4% 7.0% +15.3% +12.2%
Scenario MU: status quo monetary union
199.7% 10.0% 0% 0%
Scenario Fj: Monetary union with regional fiscal authorities
17.9% 5.8% +18.4% +14.1%
Scenario F: Monetary union with union-wide fiscal authority
8.7% 5.6% +18.7% +14.2%
Scenario G: Monetary union with federal government
78.3% 5.5% +14.8% +12.6%
aWelfare changes expressed as equivalent variations of steady state private sector output.
b“Crisis” is g
0 = 0.02, with autocorrelation 0.7.
Figure: Temporary public demand shock: comparing institutional scenarios
Figure: Temporary public demand shock. Comparing institutional scenarios
(Levels).
Figure: Autocorrelated public demand shock. Comparing institutional scenarios
Figure: Autocorrelated public demand shock. Comparing institutional scenarios
(Levels).
Table: Debt, inflation, and welfare in scenarios S where debt is a control variablea
Transition Crisis cost,a,b
Debt Inflation Welfare gaina Crisis costa,b fixing debt
¯dS
ss πS
ss W S
ss − W MU
ss W S
(dMU
ss ,0)−W MU
ss W S
(dS
ss ,
g
0 )−W S
ss W S
(0,
g
0 )−W S
(0,0)
Scenario P: Planner
0.1% 2.0% +19.4% +14.8% −0.75%
Scenario I: single country with independent central bank
71.4% 7.0% +15.3% +12.2% −0.78%
Scenario MU: status quo monetary union
199.7% 10.0% 0% 0% −0.90%
Scenario Fj: Monetary union with regional fiscal authorities
17.9% 5.8% +18.4% +14.1% −0.75%
Scenario F: Monetary union with union-wide fiscal authority
8.7% 5.6% +18.7% +14.2% −0.75%
Scenario G: Monetary union with federal government
78.3% 5.5% +14.8% +12.6% −0.90%
aWelfare changes expressed as equivalent variations of steady state private sector output.
b“Crisis” is g
0 = 0.02, with autocorrelation 0.7.
Table: Debt, inflation, and welfare in scenarios S where debt is a control variablea
Transition Crisis cost,a,b
Debt Inflation Welfare gaina Crisis costa,b fixing debt
¯dS
ss πS
ss W S
ss − W MU
ss W S
(dMU
ss ,0)−W MU
ss W S
(dS
ss ,
g
0 )−W S
ss W S
(0,
g
0 )−W S
(0,0)
Scenario P: Planner
0.1% 2.0% +19.4% +14.8% −0.75% −0.75%
Scenario I: single country with independent central bank
71.4% 7.0% +15.3% +12.2% −0.78% −0.75%
Scenario MU: status quo monetary union
199.7% 10.0% 0% 0% −0.90% −0.82%
Scenario Fj: Monetary union with regional fiscal authorities
17.9% 5.8% +18.4% +14.1% −0.75% −0.74%
Scenario F: Monetary union with union-wide fiscal authority
8.7% 5.6% +18.7% +14.2% −0.75% −0.75%
Scenario G: Monetary union with federal government
78.3% 5.5% +14.8% +12.6% −0.90% −0.88%
aWelfare changes expressed as equivalent variations of steady state private sector output.
b“Crisis” is g
0 = 0.02, with autocorrelation 0.7.
Table: Debt, inflation, and welfare in scenarios S where debt is a control variablea
Transition
Debt Inflation Welfare gaina Crisis costa,b Cyclical cost,a,c
¯dS
ss πS
ss W S
ss − W MU
ss W S
(dMU
ss ,0)−W MU
ss W S
(dS
ss ,
g
0 )−W S
ss W S
ss −W S
n (dS
ss ,0)
Scenario P: Planner
0.1% 2.0% +19.4% +14.8% −0.75% −0.86%
Scenario I: single country with independent central bank
71.4% 7.0% +15.3% +12.2% −0.78% −0.68%
Scenario MU: status quo monetary union
199.7% 10.0% 0% 0% −0.90% −0.83%
Scenario Fj: Monetary union with regional fiscal authorities
17.9% 5.8% +18.4% +14.1% −0.75% −0.70%
Scenario F: Monetary union with union-wide fiscal authority
8.7% 5.6% +18.7% +14.2% −0.75% −0.71%
Scenario G: Monetary union with federal government
78.3% 5.5% +14.8% +12.6% −0.90% −0.95%
aWelfare changes expressed as equivalent variations of steady state private sector output.
c Comparing stochastic economy with g
t ∼ N(0, 0.02), to nonstochastic economy ( g
t ≡ 0).
RESULTS
with
DEBT AS A RESIDUAL
Key finding: results qualitatively unchanged when the fiscal authority
controls the tax rate instead of controlling debt directly.
Basso/Costain (BdE) Fiscal delegation March 2017 36 / 55
Games with Debt as a Residual
Monetary union (Scenario Md)
CB sets inflation
Regional governments set tax and spending
⇒ debt determined by budget constraint.
Fiscal delegation (Scenarios Fjd, Fd)
CB sets inflation
Regional governments set spending
Fiscal authority(ies) set taxes
⇒ debt determined by budget constraint.
More realistic! Typically public spending and taxes are subject to
long-run planning. Debt issuance takes up the slack.
But treating a state variable as a residual rather than a control
complicates the Euler equation
Basso/Costain (BdE) Fiscal delegation March 2017 37 / 55
Debt as A Residual - Monetary Union
Central bank no longer has a intratemporal trade-off inflation versus
spending ¯ˆgt = −απC qH
αgS
˘πt, now condition is also intertemporal. For
the MU case
απC πt + ν¯ˆxt = βS
χ ¯dt−1 + κ
χ ¯dt + κ
(απC πt+1 + ν¯ˆxt+1)
1
βS
+ 2δ ¯dt−1 +
+
1
ν
+
q2
Lν
αgC
(απC πt+1 + (1 + χ ¯dt + κ)ν¯ˆxt+1)
∂¯xt+1
∂dt
+
+(χ ¯dt απC πt+1 − ν¯ˆxt+1)
∂πt+1
∂dt
Plus, one intratemporal condition linking output(taxes) and spending, and
ˆxj,t = βG
1
βS
+ δ ¯dt−1 Et ˆxj,t+1
¯dt = 1
βS
+ δ ¯dt−1
¯dt−1 + (πe
t − πt )(1 + χ ¯dt−1) + 1
ν
+
q2
Lν
αgC
¯ˆxt − κπt + ¯˜zt
Basso/Costain (BdE) Fiscal delegation March 2017 38 / 55
Policy Games - Debt as A Residual - Fj case
απC πt + ν¯ˆxt = βS
χ ¯dt−1 + κ
χ ¯dt + κ
(απC πt+1 + ν¯ˆxt+1)(R(dt ) + R (dt )dt ) +
+(αgC
¯ˆgt+1(1 + χ ¯dt ) + qL(απC πt+1 + ν¯ˆxt+1))
∂¯ˆgt+1
∂dt
+
+
1
ν
(απC πt+1 + (1 + χ ¯dt + κ)ν¯ˆxt+1)
∂¯ˆxt+1
∂dt
+
+(χ ¯dt απC πt+1 − ν¯ˆxt+1)
∂πt+1
∂dt
ˆgj,t = βG Et R( ¯dt )ˆgj,t+1 −
qL
αgG
ˆxj,t+1 −
1
ν
ˆgj,t+1
∂¯xt+1
∂dt
,
νˆxj,t + αdF dj,t = βF Et νˆxj,t+1R( ¯dt ) + qLνˆxj,t+1 − αgG ˆgj,t+1
∂gj,t+1
∂dt
,
¯dt =
1
βS
+ δ ¯dt−1
¯dt−1 + (πe
t − πt )(1 + χ ¯dt−1) +
1
ν
¯ˆxt + qL
¯ˆgt − κπt + ¯˜zt
Basso/Costain (BdE) Fiscal delegation March 2017 39 / 55
Figure: Borrowing and inflation. Comparing institutional scenarios when debt is a
residual and a control variable
Figure: Borrowing and inflation. Comparing institutional scenarios when debt is a
residual and a control variable
Figure: Borrowing and inflation. Comparing institutional scenarios when debt is a
residual and a control variable
Figure: Borrowing and inflation. Comparing institutional scenarios when debt is a
residual and a control variable
Figure: Temporary public demand shock. Comparing scenarios when debt is a
residual.
Figure: Autocorrelated public demand shock. Comparing scenarios when debt is a
residual.
Table: Debt, inflation, and welfare in scenarios S where debt is a residual∗
Transition Crisis cost,a,b
Debt Inflation Welfare gaina Crisis costa,b fixing debt
¯dS
ss πS
ss W S
ss − W MU
ss W S
(dMU
ss ,0)−W MU
ss W S
(dS
ss ,
g
0 )−W S
ss W S
(0,
g
0 )−W S
(0,0)
Scenario P: Planner
0.1% 2.0% +21.2% +16.6% −0.75% −0.75%
Scenario MUdr: status quo monetary union
199.7% 11.8% 0 0 −0.91% −0.83%
Scenario Fjdr: Monetary union with regional fiscal authorities
36.4% 6.4% +18.9% +14.9% −0.76% −0.75%
Scenario Fdr: Monetary union with union-wide fiscal authority
15.7% 5.9% +19.9% +15.4% −0.76% −0.75%
aWelfare changes expressed as equivalent variations of steady state private sector output.
b“Crisis” is g
0 = 0.02, with autocorrelation 0.7.
Table: Debt, inflation, and welfare in scenarios S where debt is a residual∗
Transition
Debt Inflation Welfare gaina Crisis costa,b Cyclical cost,a,b
¯dS
ss πS
ss W S
ss − W MU
ss W S
(dMU
ss ,0)−W MU
ss W S
(dS
ss ,
g
0 )−W S
ss W S
ss −W S
n (dS
ss ,0)
Scenario P: Planner
0.1% 2.0% +21.2% +16.6% −0.75% −0.86%
Scenario MUdr: status quo monetary union
199.7% 11.8% 0 0 −0.91% −0.90%
Scenario Fjdr: Monetary union with regional fiscal authorities
36.4% 6.4% +18.9% +14.9% −0.76% −0.74%
Scenario Fdr: Monetary union with union-wide fiscal authority
15.7% 5.9% +19.9% +15.4% −0.76% −0.77%
aWelfare changes expressed as equivalent variations of steady state private sector output.
c Comparing stochastic economy with g
t ∼ N(0, 0.02), to nonstochastic economy ( g
t ≡ 0).
IMPLICATIONS for EUROPE
Basso/Costain (BdE) Fiscal delegation March 2017 48 / 55
Role of fiscal delegation for Europe?
Lack of commitment is very costly in a monetary union
Delegating a budget shifter to an independent fiscal authority (IFA)
could yield large steady state welfare gains
Comes closer to commitment solution, with much lower debt
Dynamic analysis reinforces our conclusions!
Transition is preferred to status quo, in spite of costly austerity
Surprisingly, there is no tradeoff against stabilization.
Under IFA, negative shock implies greater austerity, but is less costly
over the course of the downturn
Same conclusions when IFA controls debt directly, or controls taxes
Could the new European Fiscal Board be transformed into a
European Fiscal Authority?
A promising alternative to more complex rules with more complex
monitoring process and (supposedly) more strongly binding sanctions!
Basso/Costain (BdE) Fiscal delegation March 2017 49 / 55
European Fiscal Board → European Fiscal Authority
EFA would monitor and forecast fiscal trends in each member state
EFA could provide advice on fiscal impact of new policy proposals
Those are the jobs foreseen for the EFB, starting 2017
Basso/Costain (BdE) Fiscal delegation March 2017 50 / 55
European Fiscal Board → European Fiscal Authority
EFA would monitor and forecast fiscal trends in each member state
EFA could provide advice on fiscal impact of new policy proposals
Those are the jobs foreseen for the EFB, starting 2017
EFA would have the power to set fiscal instrument(s) that give
it effective control over national debt levels
Need not control debt directly... tax instrument suffices...
e.g. Gruen (1997) proposes a multiplicative shifter x in the tax code:
tax ratei,t = F(incomei,t, lots of other stuffi,t)(1 + xt).
Hence redistributive properties of tax code are maintained.
Alternative: adjust public expenditure (Costain/de Blas ’12A,B)
Alternative: adjust pensions (already done in Spain: see S´anchez ’14)
Basso/Costain (BdE) Fiscal delegation March 2017 50 / 55
Is EFA politically feasible?
Fiscally fragile Eurozone states need ECB protection against debt
crises and banking crises (e.g. Eurobonds, deposit insurance)
Fiscally strong Eurozone states oppose ECB guarantees because they
fear moral hazard: weaker countries may fail to balance budgets if
they take ECB protection for granted.
Basso/Costain (BdE) Fiscal delegation March 2017 51 / 55
Is EFA politically feasible?
Fiscally fragile Eurozone states need ECB protection against debt
crises and banking crises (e.g. Eurobonds, deposit insurance)
Fiscally strong Eurozone states oppose ECB guarantees because they
fear moral hazard: weaker countries may fail to balance budgets if
they take ECB protection for granted.
A feasible quid pro quo:
Members voluntarily delegate one or more fiscal shifters to EFA.
EFA evaluates whether these give it effective control of debt.
When a member state has delegated an effective instrument to EFA,
ECB guarantees protection against crises (which are less likely
since EFA decreases biases, increases credibility, reduces premia).
Basso/Costain (BdE) Fiscal delegation March 2017 51 / 55
Is EFA politically feasible?
Fiscally fragile Eurozone states need ECB protection against debt
crises and banking crises (e.g. Eurobonds, deposit insurance)
Fiscally strong Eurozone states oppose ECB guarantees because they
fear moral hazard: weaker countries may fail to balance budgets if
they take ECB protection for granted.
A feasible quid pro quo:
Members voluntarily delegate one or more fiscal shifters to EFA.
EFA evaluates whether these give it effective control of debt.
When a member state has delegated an effective instrument to EFA,
ECB guarantees protection against crises (which are less likely
since EFA decreases biases, increases credibility, reduces premia).
If EFA says instrument is not effective, or is no longer effective,
ECB revokes protection.
Basso/Costain (BdE) Fiscal delegation March 2017 51 / 55
Conclusions
Lack of commitment is very costly in a monetary union
Delegating a budget shifter to an independent fiscal authority (IFA)
could yield large steady state welfare gains
Comes closer to commitment solution, with much lower debt
Dynamic analysis reinforces our conclusions!
Transition is preferred to status quo, in spite of costly austerity
Surprisingly, there is no tradeoff against stabilization.
Under IFA, negative shock implies greater austerity, but is less costly
over the course of the downturn
Same conclusions when IFA controls debt directly, or controls taxes
Current European impasse shows potential for quid pro quo
that would make IFA politically feasible.
Basso/Costain (BdE) Fiscal delegation March 2017 52 / 55
Possible extensions
Build a DSGE instead of this reduced-form model, for better
quantitative assessment, especially regarding stabilization.
Allow for endogenous, costly default. (Endgame with fiscal authority
as default comes near?)
Allow for private information of the local government about the level
of its spending requirements– implies moral hazard.
Basso/Costain (BdE) Fiscal delegation March 2017 53 / 55
Postscript
This sounds very ambitious... but institutional ingredients and
possible quid pro quo are already in place.
Compare this to the reforms/agreements/referendums necessary to
create a federal Europe!
Voluntarily delegating fiscal instruments to a joint authority is a
feasible and robust way to build a closer union among a subset
(or remnant) of member states.
Basso/Costain (BdE) Fiscal delegation March 2017 54 / 55
THANKS FOR YOUR ATTENTION!
Basso/Costain (BdE) Fiscal delegation March 2017 55 / 55

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James Costain: fiscal delegation in a monetary union

  • 1. Fiscal delegation in a monetary union: Instrument assignment and stabilization properties Henrique S. Basso and James Costain1 Banco de Espa˜na March 2017 1 Opinions expressed in this presentation are those of the authors. They do not necessarily coincide with those of the Banco de Espa˜na or the Eurosystem. Basso/Costain (BdE) Fiscal delegation March 2017 1 / 55
  • 2. Problem: debt bias and volatility in a monetary union Joining a monetary union increases sovereign debt fluctuations and levels Fiscal policy substitutes for independent monetary policy as stabilization tool (Mundell 1961) Monetary union increases debt bias (Beetsma/Bovenberg 1999; Chari/Kehoe 2007; Krogstrup/Wyplosz 2009). Cross-country banking flows amplified (Bruche/Su´arez 2010; Obstfeld 2013) Independent monetary policy unavailable to resist speculative attacks (Eichengreen/Hausmann 2005, DeGrauwe 2011) Risk of crises: risk premium and debt can spiral out of control Monetary/financial mechanisms to offset crises inviable because more solvent governments fear moral hazard of less solvent ones Basso/Costain (BdE) Fiscal delegation March 2017 2 / 55
  • 3. Mechanisms to restrain deficit bias The Union needs a credible way of ensuring fiscal sustainability. What are the options?? Mechanisms requiring government adjustments Mechanisms not requiring government adjustments Parametric budget rules Stability/Growth Pact Swiss “debt brake” Defined-contribution pensions Spanish pension “revaluation index” Fiscal monitoring councils National fiscal councils European Fiscal Board Fiscal delegation Delegated deficit limit Eichengreen et al ’97 Calmfors ’03 Wyplosz ’05 Maskin ’16 Delegated instruments Gruen ’01 Calmfors ’03 Costain/de Blas ’12 Basso/Costain ’16 Basso/Costain (BdE) Fiscal delegation March 2017 3 / 55
  • 4. Mechanisms to restrain deficit bias The Union needs a credible way of ensuring fiscal sustainability. What are the options?? Mechanisms requiring government adjustments Mechanisms not requiring government adjustments Parametric budget rules Stability/Growth Pact Swiss “debt brake” Defined-contribution pensions Spanish pension “revaluation index” Fiscal monitoring councils National fiscal councils European Fiscal Board Fiscal delegation Delegated deficit limit Eichengreen et al ’97 Calmfors ’03 Wyplosz ’05 Maskin ’16 Delegated instruments Gruen ’01 Calmfors ’03 Costain/de Blas ’12 Basso/Costain ’16 This paper: dynamic effects of delegated fiscal instruments in a monetary union. Basso/Costain (BdE) Fiscal delegation March 2017 3 / 55
  • 5. Delegated fiscal instruments in Europe? European Fiscal Board → European Fiscal Authority! EFB will advise and monitor member states, starting 2017 But EFA would also set a fiscal shift parameter in each member state Example: Gruen (’01) proposes a shifter x in the tax code: tax ratei,t = F(incomei,t, lots of other stuffi,t)(1 + xt). A politically feasible quid pro quo: Members voluntarily delegate one or more fiscal shifters to EFA. If EFA judges that the instruments give it effective control of debt, member becomes eligible for a European risk-sharing mechanism Example: fiscal delegation could be a prerequisite for membership in Single Deposit Insurance system of Banking Union Basso/Costain (BdE) Fiscal delegation March 2017 4 / 55
  • 6. This paper Compare several policy games to analyze macro & poli-econ implications of fiscal instrument delegation in a monetary union Fiscal delegation is not a new idea (Blinder ’97, . . . , Maskin ’16) But it has not been formally modeled Our previous paper (Basso/Costain CESifo EcStud ’16) showed that fiscal delegation could have a large steady-state impact on debt and welfare Basso/Costain (BdE) Fiscal delegation March 2017 5 / 55
  • 7. This paper Compare several policy games to analyze macro & poli-econ implications of fiscal instrument delegation in a monetary union Fiscal delegation is not a new idea (Blinder ’97, . . . , Maskin ’16) But it has not been formally modeled Our previous paper (Basso/Costain CESifo EcStud ’16) showed that fiscal delegation could have a large steady-state impact on debt and welfare This paper: Dynamic implications of fiscal delegation. Do large steady state gains justify short-run costs? Does business cycle stabilization suffer, when budget balance is delegated to a fiscal authority? How do the answers vary, depending on which instruments are delegated? Basso/Costain (BdE) Fiscal delegation March 2017 5 / 55
  • 8. Policy games– some benchmarks Rogoff (1985), “Conservative central banker” Inflation-averse CB undoes inflation bias due to lack of commitment Dixit and Lambertini (2003), Invariance result for monetary union Commitment/discretion irrelevant if CB and govs have same preferences Alesina/Tabellini (1990), impatience/deficit bias from party politics Alternating spending priorities leads to excessive debt Beetsma/Bovenberg (1999), Chari/Kehoe (2007) Deficit bias in monetary union if CB not “conservative” enough... ... and this is bad if governments are not patient enough. Basso/Costain (2016), Many forms of deficit bias in monetary union Insufficiently conservative CB / Desire to inflate away nominal debt Impatient government / Interest rate contagion Hence debt-averse independent fiscal authority improves welfare Basso/Costain (BdE) Fiscal delegation March 2017 6 / 55
  • 9. ECONOMIC ENVIRONMENT Basso/Costain (BdE) Fiscal delegation March 2017 7 / 55
  • 10. Economy of region j - key features Output varies with surprise inflation and taxes: (Alesina/Tabellini 1987) xj,t = x + ν(πt − πe t − τj,t) Loss function depends on inflation, output, and public services: (Leith/Wren-Lewis 2011) LSj = ∞ t=0 βt S απS π2 t + (xj,t − ˜x)2 + αgS (gj,t − ˜gj,t)2 Demand for public services follows an AR1 process: ˜gj,t = ˜g + sj,t (1) sj,t = ρsj,t−1 + j,t (2) Public services are a composite of many inputs: gj,t = 1 0 ωj,k,t (gj,k,t) η−1 η dk η η−1 . Basso/Costain (BdE) Fiscal delegation March 2017 8 / 55
  • 11. Fiscal environment of region j Each region faces its own government budget constraint: dj,t = R ¯dt−1 + χ(πe t − πt) dj,t−1 + qgj,t − τj,t − κπt Ex ante real interest rate: R( ¯dt) = 1/βS + δ ¯dt Interest rate contagion: R( ¯dt) depends on average debt ¯dt ≡ 1 J J j=1 dj,t, rather than country-specific debt Ex post real interest rate: R ¯dt−1 + χ(πe t − πt) Erosion of nominal debt: Fraction of nominal debt is χ Price of public services q may be low or high: q = qL = (Eωη)1/1−η if ωj,k,t is observed qH = (Eω)η/1−η if ωj,k,t is not observed Basso/Costain (BdE) Fiscal delegation March 2017 9 / 55
  • 12. POLICY GAMES Basso/Costain (BdE) Fiscal delegation March 2017 10 / 55
  • 13. Policy games (with debt as control variable) Institutional preferences Benevolent, but weight parameters may differ from social welfare Assume elected institutions are less patient than society is Assume an institution with a simple, clear, feasible mandate cares more about that objective than society does Basso/Costain (BdE) Fiscal delegation March 2017 11 / 55
  • 14. Policy games (with debt as control variable) Institutional preferences Benevolent, but weight parameters may differ from social welfare Assume elected institutions are less patient than society is Assume an institution with a simple, clear, feasible mandate cares more about that objective than society does Monetary union (scenario M) CB sets inflation Regional Governments set tax and debt ⇒ government spending determined by budget constraint. Fiscal delegation (scenarios Fj , F) CB sets inflation Regional Governments set taxes Fiscal Authority(ies) set debt ⇒ government spending determined by budget constraint. Single country with independent policy (scenario I) Federal government for monetary union (scenario G) Basso/Costain (BdE) Fiscal delegation March 2017 11 / 55
  • 15. Generic Policy Game - Regional Government Gj or fiscal authority Fj that acts in region j only: V Ij t (Ωt ) = max ΘIj t −1 2 απI π2 t + xj,t + ν(πt − πe t − τj,t ) − ˜x 2 +αgI gj,t − ˜gj,t 2 + αdI dj,t − ˜dj,t 2 + βI Et V Ij t+1 (Ωt+1) s.t. dj,t − R ¯dt−1 + χ(πe t − πt ) dj,t−1 + τj,t + κπt − qj,t gj,t , where Ωt ≡ (dt−1, st−1, t) is the state of the economy ΘIj t is the set of instruments affected by actions of player Ij Basso/Costain (BdE) Fiscal delegation March 2017 12 / 55
  • 16. Generic Policy Game - Union Central bank or fiscal authority I ∈ {C, F} controls instruments affecting all regions j: V I t (Ωt ) = max ΘI t −1 2 απI π2 t + 1 J J j=1 xj,t + ν(πt − πe t − τj,t ) − ˜x 2 +αgI gj,t − ˜gj,t 2 + αdI dj,t − ˜dj,t 2 + βI Et V I t+1 (Ωt+1) s.t. dj,t − R ¯dt−1 + χ(πe t − πt ) dj,t−1 + τj,t + κπt − qj,t gj,t ∀j, where Ωt ≡ (dt−1, st−1, t) is the state of the economy ΘI t is the set of instruments affected by actions of player I Basso/Costain (BdE) Fiscal delegation March 2017 13 / 55
  • 17. Welfare benchmark: Social planner Benchmark: an omniscient, cooperative, committed Pareto planner: V P t dt−1, st−1 = max πt , πe t , {dj,t , τj,t , gj,t }J j=1 −1 2 απS π2 t + 1 J J j=1 x + ν(πt − πe t − τj,t ) − ˜x 2 + αgS gj,t − ˜gj,t 2 +βS Et V P t+1 dt , st s.t. dj,t = R( ¯dt−1) + χ(πe t − πt ) dj,t−1 + qLgj,t − τj,t − κπt ∀j. Omniscient: q = qL Cooperative: planner chooses τj,t, dj,t for all j Committed: commits to contingent plan πt = Π(dt−1, st−1, t), and thus alters expectations πe t = Et−1πt Pareto: planner respects J distinct budget constraints Basso/Costain (BdE) Fiscal delegation March 2017 14 / 55
  • 18. Monetary union (benchmark scenario M) Instrument assignment: ΘC t ≡ {πt, {gj,t}J j=1} Θ Gj t ≡ {τjt, djt, gj,t} Intratemporal trade-offs ν(xj,t − ˜x) = αgS qL (gj,t − ˜gj,t), απC πt 1+κ+χ ¯dt−1 = − αgS qL j gj,t −˜gj,t J Symmetric equilibrium is determined by ¯dt = (R( ¯dt−1) + χ(πe t − πt)) ¯dt−1 − ˘κ(dt−1)˘πt + ˜zt, ˘πt = βG R( ¯dt)Et ˘πt+1, where ˘πt ≡ πt 1+κ+χdt , ˜zt ≡ ˜x−x ν +qL ˜gt , ˘κ(dt )≡κ(1+κ+χdt )+ απC αgS q2 L+ αgS ν2 . Basso/Costain (BdE) Fiscal delegation March 2017 15 / 55
  • 19. Solution method: symmetric equilibrium Two policy functions summarize symmetric equilibrium of scenario M: Adjusted inflation: ˘πt = πt 1+κ+χdt−1 = ˘IM (Ωt) Gross borrowing: dt = BM (Ωt) Policies must satisfy budget balance, and Euler equation: BM (Ωt ) =R (dt−1) dt−1 + (1 + χdt−1)(Et−1[IM (Ωt )] − IM (Ωt )) − ˘κ(dt−1)˘IM (Ωt ) + ˜zt , ˘IM (Ωt ) = βG β−1 S + δBM (Ωt ) Et ˘IM (BM (Ωt ), st , t+1). Solve the functional equations: Approximate BM (Ωt) and ˘IM (Ωt) as Chebyshev polynomials Order (4,2,2) in the state variable Ωt ≡ (dt−1, st−1, t) Basso/Costain (BdE) Fiscal delegation March 2017 16 / 55
  • 20. RESULTS with DEBT AS A CONTROL VARIABLE Basso/Costain (BdE) Fiscal delegation March 2017 17 / 55
  • 21. Equilibrium for Policy Games with Debt as Control Variable For all cases (except G), budget constraint reduces to: ¯dt = 1 βS + δ ¯dt−1 ¯dt−1 + (πe t − πt )(1 + χ ¯dt−1) − ˘κ( ¯dt−1)˘πt + ¯˜zt , (3) Game Choice Variables Euler Equation I ΘC t ≡ {πt , gt } ΘG t ≡ {τt , dt , g,t } ˘πt = βG Et 1 βS + 2δ ¯dt + γ + χ απG απC ∂πt+1 ∂dt ˘πt+1 M ΘC t ≡ {πt , {gj,t }J j=1} Θ Gj t ≡ {τjt , djt , gj,t } ˘πt = βG 1 βS + δ ¯dt Et ˘πt+1 Fj ΘC t ≡ {πt , {gj,t }J j=1} Θ Gj t ≡ {τjt , gj,t } Θ Fj t ≡ {djt , gj,t } ˘πt = αdF απC ¯dt + βF 1 βS + δ ¯dt Et ˘πt+1 F ΘC t ≡ {πt , {gj,t }J j=1} Θ Gj t ≡ {τjt , gj,t } Θ Fj t ≡ {djt , gj,t } ˘πt = αdF απC ¯dt + βF Et 1 βS + 2δ ¯dt + γ + χ απG απC ∂πt+1 ∂ ¯dt ˘πt+1 Where ˘πt ≡ πt 1+κ+χ ¯dt−1 . Note R( ¯dt ) = 1 βS + δ ¯dt , R( ¯dt ) + R ( ¯dt ) ¯dt = 1 βS + 2δ ¯dt Basso/Costain (BdE) Fiscal delegation March 2017 18 / 55
  • 22. Figure: Borrowing and inflation (numerical example: planner) • Planner’s solution
  • 23. Figure: Borrowing and inflation (numerical example: one country) • Effect of government discretion and impatience
  • 24. Figure: Borrowing and inflation (numerical example: monetary union) • Effect of common pool problems
  • 25. Figure: Borrowing and inflation (numerical example: Regional fiscal delegation) • Effect of patience and debt aversion
  • 26. Figure: Borrowing and inflation (numerical example: Union-level fiscal delegation) • Effect of eliminating common pool problems
  • 27. Figure: Borrowing and inflation (numerical example: Federal government) • Alternative: create federal government
  • 28. Our baseline calibration Time period: annual. Target R = 1.02 at zero debt, R = 1.05 at 100% debt. βS = (1.02)−1 , δ = 0.03. Numeraire: private sector annual output. Target debt=2 in steady state of monetary union. βG = (1.08)−1 , δ = 0.03. Half of debt is nominal, χ = 0.5; Money base is 20% of output: κ = 0.2. Assume elasticity of output to taxes is ν = 1. Target taxes=0.5 in steady state of monetary union. x = xM ss + ντM ss = 1.5. Can then back out steady state goverment spending from budget constraint: gM ss = 0.36. Target inflation=10% in steady state of monetary union. Back out αgS and απC from first-order conditions between g, x, and π. αgS = 0.862, απC = 88. Basso/Costain (BdE) Fiscal delegation March 2017 25 / 55
  • 29. Welfare Social welfare in a symmetric equilibrium of scenario S: W S (dt−1, st−1, t) = − 1 J J j=1 LSj Welfare at steady state W S ss ≡ W S(dS ss, 0). Plug policy functions into Bellman equation to derive polynomial approximation to welfare: W S (Ωt ) = απI IS (Ωt )2 + XS (Ωt ) − ˜x 2 +αgI GS (Ωt ) − ˜gt 2 + βS Et W S (BS (Ωt ), st , t+1) Basso/Costain (BdE) Fiscal delegation March 2017 26 / 55
  • 30. Table: Debt, inflation, and welfare in scenarios S where debt is a control variablea Transition Crisis cost,a,b Debt Inflation Welfare gaina Crisis costa,b fixing debt ¯dS ss πS ss W S ss − W MU ss W S (dMU ss ,0)−W MU ss W S (dS ss , g 0 )−W S ss W S (0, g 0 )−W S (0,0) Scenario P: Planner 0.1% 2.0% +19.4% Scenario I: single country with independent central bank 71.4% 7.0% +15.3% Scenario MU: status quo monetary union 199.7% 10.0% 0% Scenario Fj: Monetary union with regional fiscal authorities 17.9% 5.8% +18.4% Scenario F: Monetary union with union-wide fiscal authority 8.7% 5.6% +18.7% Scenario G: Monetary union with federal government 78.3% 5.5% +14.8% aWelfare changes expressed as equivalent variations of steady state private sector output. b“Crisis” is g 0 = 0.02, with autocorrelation 0.7.
  • 31. Table: Debt, inflation, and welfare in scenarios S where debt is a control variablea Transition Crisis cost,a,b Debt Inflation Welfare gaina Crisis costa,b fixing debt ¯dS ss πS ss W S ss − W MU ss W S (dMU ss ,0)−W MU ss W S (dS ss , g 0 )−W S ss W S (0, g 0 )−W S (0,0) Scenario P: Planner 0.1% 2.0% +19.4% +14.8% Scenario I: single country with independent central bank 71.4% 7.0% +15.3% +12.2% Scenario MU: status quo monetary union 199.7% 10.0% 0% 0% Scenario Fj: Monetary union with regional fiscal authorities 17.9% 5.8% +18.4% +14.1% Scenario F: Monetary union with union-wide fiscal authority 8.7% 5.6% +18.7% +14.2% Scenario G: Monetary union with federal government 78.3% 5.5% +14.8% +12.6% aWelfare changes expressed as equivalent variations of steady state private sector output. b“Crisis” is g 0 = 0.02, with autocorrelation 0.7.
  • 32. Figure: Temporary public demand shock: comparing institutional scenarios
  • 33. Figure: Temporary public demand shock. Comparing institutional scenarios (Levels).
  • 34. Figure: Autocorrelated public demand shock. Comparing institutional scenarios
  • 35. Figure: Autocorrelated public demand shock. Comparing institutional scenarios (Levels).
  • 36. Table: Debt, inflation, and welfare in scenarios S where debt is a control variablea Transition Crisis cost,a,b Debt Inflation Welfare gaina Crisis costa,b fixing debt ¯dS ss πS ss W S ss − W MU ss W S (dMU ss ,0)−W MU ss W S (dS ss , g 0 )−W S ss W S (0, g 0 )−W S (0,0) Scenario P: Planner 0.1% 2.0% +19.4% +14.8% −0.75% Scenario I: single country with independent central bank 71.4% 7.0% +15.3% +12.2% −0.78% Scenario MU: status quo monetary union 199.7% 10.0% 0% 0% −0.90% Scenario Fj: Monetary union with regional fiscal authorities 17.9% 5.8% +18.4% +14.1% −0.75% Scenario F: Monetary union with union-wide fiscal authority 8.7% 5.6% +18.7% +14.2% −0.75% Scenario G: Monetary union with federal government 78.3% 5.5% +14.8% +12.6% −0.90% aWelfare changes expressed as equivalent variations of steady state private sector output. b“Crisis” is g 0 = 0.02, with autocorrelation 0.7.
  • 37. Table: Debt, inflation, and welfare in scenarios S where debt is a control variablea Transition Crisis cost,a,b Debt Inflation Welfare gaina Crisis costa,b fixing debt ¯dS ss πS ss W S ss − W MU ss W S (dMU ss ,0)−W MU ss W S (dS ss , g 0 )−W S ss W S (0, g 0 )−W S (0,0) Scenario P: Planner 0.1% 2.0% +19.4% +14.8% −0.75% −0.75% Scenario I: single country with independent central bank 71.4% 7.0% +15.3% +12.2% −0.78% −0.75% Scenario MU: status quo monetary union 199.7% 10.0% 0% 0% −0.90% −0.82% Scenario Fj: Monetary union with regional fiscal authorities 17.9% 5.8% +18.4% +14.1% −0.75% −0.74% Scenario F: Monetary union with union-wide fiscal authority 8.7% 5.6% +18.7% +14.2% −0.75% −0.75% Scenario G: Monetary union with federal government 78.3% 5.5% +14.8% +12.6% −0.90% −0.88% aWelfare changes expressed as equivalent variations of steady state private sector output. b“Crisis” is g 0 = 0.02, with autocorrelation 0.7.
  • 38. Table: Debt, inflation, and welfare in scenarios S where debt is a control variablea Transition Debt Inflation Welfare gaina Crisis costa,b Cyclical cost,a,c ¯dS ss πS ss W S ss − W MU ss W S (dMU ss ,0)−W MU ss W S (dS ss , g 0 )−W S ss W S ss −W S n (dS ss ,0) Scenario P: Planner 0.1% 2.0% +19.4% +14.8% −0.75% −0.86% Scenario I: single country with independent central bank 71.4% 7.0% +15.3% +12.2% −0.78% −0.68% Scenario MU: status quo monetary union 199.7% 10.0% 0% 0% −0.90% −0.83% Scenario Fj: Monetary union with regional fiscal authorities 17.9% 5.8% +18.4% +14.1% −0.75% −0.70% Scenario F: Monetary union with union-wide fiscal authority 8.7% 5.6% +18.7% +14.2% −0.75% −0.71% Scenario G: Monetary union with federal government 78.3% 5.5% +14.8% +12.6% −0.90% −0.95% aWelfare changes expressed as equivalent variations of steady state private sector output. c Comparing stochastic economy with g t ∼ N(0, 0.02), to nonstochastic economy ( g t ≡ 0).
  • 39. RESULTS with DEBT AS A RESIDUAL Key finding: results qualitatively unchanged when the fiscal authority controls the tax rate instead of controlling debt directly. Basso/Costain (BdE) Fiscal delegation March 2017 36 / 55
  • 40. Games with Debt as a Residual Monetary union (Scenario Md) CB sets inflation Regional governments set tax and spending ⇒ debt determined by budget constraint. Fiscal delegation (Scenarios Fjd, Fd) CB sets inflation Regional governments set spending Fiscal authority(ies) set taxes ⇒ debt determined by budget constraint. More realistic! Typically public spending and taxes are subject to long-run planning. Debt issuance takes up the slack. But treating a state variable as a residual rather than a control complicates the Euler equation Basso/Costain (BdE) Fiscal delegation March 2017 37 / 55
  • 41. Debt as A Residual - Monetary Union Central bank no longer has a intratemporal trade-off inflation versus spending ¯ˆgt = −απC qH αgS ˘πt, now condition is also intertemporal. For the MU case απC πt + ν¯ˆxt = βS χ ¯dt−1 + κ χ ¯dt + κ (απC πt+1 + ν¯ˆxt+1) 1 βS + 2δ ¯dt−1 + + 1 ν + q2 Lν αgC (απC πt+1 + (1 + χ ¯dt + κ)ν¯ˆxt+1) ∂¯xt+1 ∂dt + +(χ ¯dt απC πt+1 − ν¯ˆxt+1) ∂πt+1 ∂dt Plus, one intratemporal condition linking output(taxes) and spending, and ˆxj,t = βG 1 βS + δ ¯dt−1 Et ˆxj,t+1 ¯dt = 1 βS + δ ¯dt−1 ¯dt−1 + (πe t − πt )(1 + χ ¯dt−1) + 1 ν + q2 Lν αgC ¯ˆxt − κπt + ¯˜zt Basso/Costain (BdE) Fiscal delegation March 2017 38 / 55
  • 42. Policy Games - Debt as A Residual - Fj case απC πt + ν¯ˆxt = βS χ ¯dt−1 + κ χ ¯dt + κ (απC πt+1 + ν¯ˆxt+1)(R(dt ) + R (dt )dt ) + +(αgC ¯ˆgt+1(1 + χ ¯dt ) + qL(απC πt+1 + ν¯ˆxt+1)) ∂¯ˆgt+1 ∂dt + + 1 ν (απC πt+1 + (1 + χ ¯dt + κ)ν¯ˆxt+1) ∂¯ˆxt+1 ∂dt + +(χ ¯dt απC πt+1 − ν¯ˆxt+1) ∂πt+1 ∂dt ˆgj,t = βG Et R( ¯dt )ˆgj,t+1 − qL αgG ˆxj,t+1 − 1 ν ˆgj,t+1 ∂¯xt+1 ∂dt , νˆxj,t + αdF dj,t = βF Et νˆxj,t+1R( ¯dt ) + qLνˆxj,t+1 − αgG ˆgj,t+1 ∂gj,t+1 ∂dt , ¯dt = 1 βS + δ ¯dt−1 ¯dt−1 + (πe t − πt )(1 + χ ¯dt−1) + 1 ν ¯ˆxt + qL ¯ˆgt − κπt + ¯˜zt Basso/Costain (BdE) Fiscal delegation March 2017 39 / 55
  • 43. Figure: Borrowing and inflation. Comparing institutional scenarios when debt is a residual and a control variable
  • 44. Figure: Borrowing and inflation. Comparing institutional scenarios when debt is a residual and a control variable
  • 45. Figure: Borrowing and inflation. Comparing institutional scenarios when debt is a residual and a control variable
  • 46. Figure: Borrowing and inflation. Comparing institutional scenarios when debt is a residual and a control variable
  • 47. Figure: Temporary public demand shock. Comparing scenarios when debt is a residual.
  • 48. Figure: Autocorrelated public demand shock. Comparing scenarios when debt is a residual.
  • 49. Table: Debt, inflation, and welfare in scenarios S where debt is a residual∗ Transition Crisis cost,a,b Debt Inflation Welfare gaina Crisis costa,b fixing debt ¯dS ss πS ss W S ss − W MU ss W S (dMU ss ,0)−W MU ss W S (dS ss , g 0 )−W S ss W S (0, g 0 )−W S (0,0) Scenario P: Planner 0.1% 2.0% +21.2% +16.6% −0.75% −0.75% Scenario MUdr: status quo monetary union 199.7% 11.8% 0 0 −0.91% −0.83% Scenario Fjdr: Monetary union with regional fiscal authorities 36.4% 6.4% +18.9% +14.9% −0.76% −0.75% Scenario Fdr: Monetary union with union-wide fiscal authority 15.7% 5.9% +19.9% +15.4% −0.76% −0.75% aWelfare changes expressed as equivalent variations of steady state private sector output. b“Crisis” is g 0 = 0.02, with autocorrelation 0.7.
  • 50. Table: Debt, inflation, and welfare in scenarios S where debt is a residual∗ Transition Debt Inflation Welfare gaina Crisis costa,b Cyclical cost,a,b ¯dS ss πS ss W S ss − W MU ss W S (dMU ss ,0)−W MU ss W S (dS ss , g 0 )−W S ss W S ss −W S n (dS ss ,0) Scenario P: Planner 0.1% 2.0% +21.2% +16.6% −0.75% −0.86% Scenario MUdr: status quo monetary union 199.7% 11.8% 0 0 −0.91% −0.90% Scenario Fjdr: Monetary union with regional fiscal authorities 36.4% 6.4% +18.9% +14.9% −0.76% −0.74% Scenario Fdr: Monetary union with union-wide fiscal authority 15.7% 5.9% +19.9% +15.4% −0.76% −0.77% aWelfare changes expressed as equivalent variations of steady state private sector output. c Comparing stochastic economy with g t ∼ N(0, 0.02), to nonstochastic economy ( g t ≡ 0).
  • 51. IMPLICATIONS for EUROPE Basso/Costain (BdE) Fiscal delegation March 2017 48 / 55
  • 52. Role of fiscal delegation for Europe? Lack of commitment is very costly in a monetary union Delegating a budget shifter to an independent fiscal authority (IFA) could yield large steady state welfare gains Comes closer to commitment solution, with much lower debt Dynamic analysis reinforces our conclusions! Transition is preferred to status quo, in spite of costly austerity Surprisingly, there is no tradeoff against stabilization. Under IFA, negative shock implies greater austerity, but is less costly over the course of the downturn Same conclusions when IFA controls debt directly, or controls taxes Could the new European Fiscal Board be transformed into a European Fiscal Authority? A promising alternative to more complex rules with more complex monitoring process and (supposedly) more strongly binding sanctions! Basso/Costain (BdE) Fiscal delegation March 2017 49 / 55
  • 53. European Fiscal Board → European Fiscal Authority EFA would monitor and forecast fiscal trends in each member state EFA could provide advice on fiscal impact of new policy proposals Those are the jobs foreseen for the EFB, starting 2017 Basso/Costain (BdE) Fiscal delegation March 2017 50 / 55
  • 54. European Fiscal Board → European Fiscal Authority EFA would monitor and forecast fiscal trends in each member state EFA could provide advice on fiscal impact of new policy proposals Those are the jobs foreseen for the EFB, starting 2017 EFA would have the power to set fiscal instrument(s) that give it effective control over national debt levels Need not control debt directly... tax instrument suffices... e.g. Gruen (1997) proposes a multiplicative shifter x in the tax code: tax ratei,t = F(incomei,t, lots of other stuffi,t)(1 + xt). Hence redistributive properties of tax code are maintained. Alternative: adjust public expenditure (Costain/de Blas ’12A,B) Alternative: adjust pensions (already done in Spain: see S´anchez ’14) Basso/Costain (BdE) Fiscal delegation March 2017 50 / 55
  • 55. Is EFA politically feasible? Fiscally fragile Eurozone states need ECB protection against debt crises and banking crises (e.g. Eurobonds, deposit insurance) Fiscally strong Eurozone states oppose ECB guarantees because they fear moral hazard: weaker countries may fail to balance budgets if they take ECB protection for granted. Basso/Costain (BdE) Fiscal delegation March 2017 51 / 55
  • 56. Is EFA politically feasible? Fiscally fragile Eurozone states need ECB protection against debt crises and banking crises (e.g. Eurobonds, deposit insurance) Fiscally strong Eurozone states oppose ECB guarantees because they fear moral hazard: weaker countries may fail to balance budgets if they take ECB protection for granted. A feasible quid pro quo: Members voluntarily delegate one or more fiscal shifters to EFA. EFA evaluates whether these give it effective control of debt. When a member state has delegated an effective instrument to EFA, ECB guarantees protection against crises (which are less likely since EFA decreases biases, increases credibility, reduces premia). Basso/Costain (BdE) Fiscal delegation March 2017 51 / 55
  • 57. Is EFA politically feasible? Fiscally fragile Eurozone states need ECB protection against debt crises and banking crises (e.g. Eurobonds, deposit insurance) Fiscally strong Eurozone states oppose ECB guarantees because they fear moral hazard: weaker countries may fail to balance budgets if they take ECB protection for granted. A feasible quid pro quo: Members voluntarily delegate one or more fiscal shifters to EFA. EFA evaluates whether these give it effective control of debt. When a member state has delegated an effective instrument to EFA, ECB guarantees protection against crises (which are less likely since EFA decreases biases, increases credibility, reduces premia). If EFA says instrument is not effective, or is no longer effective, ECB revokes protection. Basso/Costain (BdE) Fiscal delegation March 2017 51 / 55
  • 58. Conclusions Lack of commitment is very costly in a monetary union Delegating a budget shifter to an independent fiscal authority (IFA) could yield large steady state welfare gains Comes closer to commitment solution, with much lower debt Dynamic analysis reinforces our conclusions! Transition is preferred to status quo, in spite of costly austerity Surprisingly, there is no tradeoff against stabilization. Under IFA, negative shock implies greater austerity, but is less costly over the course of the downturn Same conclusions when IFA controls debt directly, or controls taxes Current European impasse shows potential for quid pro quo that would make IFA politically feasible. Basso/Costain (BdE) Fiscal delegation March 2017 52 / 55
  • 59. Possible extensions Build a DSGE instead of this reduced-form model, for better quantitative assessment, especially regarding stabilization. Allow for endogenous, costly default. (Endgame with fiscal authority as default comes near?) Allow for private information of the local government about the level of its spending requirements– implies moral hazard. Basso/Costain (BdE) Fiscal delegation March 2017 53 / 55
  • 60. Postscript This sounds very ambitious... but institutional ingredients and possible quid pro quo are already in place. Compare this to the reforms/agreements/referendums necessary to create a federal Europe! Voluntarily delegating fiscal instruments to a joint authority is a feasible and robust way to build a closer union among a subset (or remnant) of member states. Basso/Costain (BdE) Fiscal delegation March 2017 54 / 55
  • 61. THANKS FOR YOUR ATTENTION! Basso/Costain (BdE) Fiscal delegation March 2017 55 / 55