international credit supply shocks
TRANSCRIPT
International Credit Supply Shocks
A. Cesa-Bianchi1 A. Ferrero2 A. Rebucci3
1Bank of England and Center for Macroeconomics2Oxford University
3Johns Hopkins Carey Business School and NBER
Central Bank Research Associations Boston Policy Workshop, 9 July 2017
*The views expressed in this paper do not necessarily reflect the position of the Bank of England.
Capital inflows associated with expansions and assetprice booms, but not all countries affected equally
Cross-border Credit
-3 -2 -1 0 +1 +2 +3
-10
0
10
House Price
-3 -2 -1 0 +1 +2 +3-10
-5
0
5
Equity Price
-3 -2 -1 0 +1 +2 +3
-30
-20
-10
0
10
Real Eff. Exch. Rate
-3 -2 -1 0 +1 +2 +3
-2
0
2
Real Exch. Rate (USD)
-3 -2 -1 0 +1 +2 +3
-5
0
5
Current Account / GDP
-3 -2 -1 0 +1 +2 +3
-4
-2
0
GDP
-3 -2 -1 0 +1 +2 +3
0
2
4
6
Consumption
-3 -2 -1 0 +1 +2 +3
0
2
4
6
Real Short-term Int. Rate
-3 -2 -1 0 +1 +2 +30
5
All Economies Advanced Economies Emerging Economies Overall
Motivation 2
Countries differ in important dimensions, and theEMs vs. AEs divide may not be whole story
Mortgage Debt / GDP
RU
SS
VN
AR
GB
GR
IDN
PE
RU
KR
BR
AP
OL
CZ
EIN
DS
VK
LT
UP
HL
MA
RH
RV
HU
NM
EX
CH
NC
OL
ES
TL
VA
ITA
CH
LG
RC
TH
A KO
RIS
RZ
AF
FR
AT
WN
AU
TB
EL
ML
TM
YS
LU
X FIN J
PN
ES
P HK
GC
AN
IRL
DE
UP
RT
NO
RS
WE
SG
PA
US G
BR
ISL
US
AN
ZL
DN
KC
HE
NL
D
0
20
40
60
80
Home Ownership
CH
E CO
LH
KG
DE
U JP
NA
UT
FR
AZ
AF
NZ
LF
IND
NK
ME
XA
RG
AU
SC
HL
NL
DP
ER
GB
RIS
RID
NIN
DB
RA
SW
ET
HA
LU
XIR
LB
EL PR
TIT
AG
RC
SV
NE
SP
CZ
EIS
LP
HL
ML
TP
OL
SR
BR
US
UR
YL
VA
ES
TN
OR
TW
NB
GR
CH
NS
VK
SG
PH
RV
HU
NL
TU
40
50
60
70
80
90
100
Share of foreign currency debt
US
AD
EU
ITAA
UT
ES
PB
EL
FR
AP
RT FIN
NL
DG
RC LU
XIR
LJP
NC
HE
DN
KN
ZL
SW
EA
US
CA
N GB
RN
OR
ML
TC
ZE
ZA
FT
WN
SG
PH
KG
PO
LC
HN
MY
SK
OR
TH
AH
UN
ISR
ME
XU
KR
BR
AIN
DID
NR
US
SV
KP
HL
ISL
SR
BL
VA
HR
VC
HL
CO
LS
VN
ES
TP
ER
AR
GL
TU
MA
RB
GR
UR
Y
0
20
40
60
80
100
Max Loan to Value (LTV)
HR
VC
OL
HK
GH
UN
KO
RS
VN
UR
YA
RG
AU
TC
HN
DN
KF
IND
EU
GR
CIT
AJP
NL
UX
MY
SM
LT
PH
LS
GP
CH
EB
GR NZ
LN
OR BR
AE
ST
IDN
PR
T CA
NIS
RS
WE AU
SB
EL
CZ
EF
RA
ISL
IRL
LV
AL
TU
ME
XP
OL
RU
SZ
AF
ES
PT
HA
UK
RU
SA
IND
GB
RN
LD
40
60
80
100
120
Motivation 3
This paper
I Focuses on one particular shock: international credit supply
• A push shock that is expansionary, both in our model and in the data
I Theory: sets up a open economy model with housing and collateralizedborrowing in foreign or domestic currency and international financialintermediation
• International credit supply shock brought about by changes in leverageconstraint of global banks
• Possible amplification role for both house prices and exchange rates
I Empirics: quarterly panel VAR model for more than 50 countries
• Shock identified with changes in leverage of US broker-dealers
• Study trasmission and relative importance of this shock for the typicaleconomy
• Investigate differences in country countries’ responses relative tocharacteristics we can pin in both the model and the data
Contribution 4
Main Results
I Model:
• International credit supply shock is expansionary
• Real exchange rate appreciate
• If constraint binds, house prices increase (and yields decline) and amplifyinitial shock
• Transmission stronger the higher the LTV ratio and the share of FX liabilities
I PVAR:
• Shock is expansionary like in the model, and has sizable impact on the typicaleconomy
• Shock explains a significant fraction of macroeconomic and asset pricevariance
• Heterogeneity associated with share of foreign currency liabilities andcharacteristics of the housing market
I Important implication: LTV ratios and FX shares, which are related tomacro-prudential policy, are linked to final outcomes
Main results and Related Literature 5
Related Literature
I Global financial cycle and drivers of leverage:
• Cetorelli and Goldberg (2011, 2012); Rey (2013, 2016); Bruno and Shin(2015); Dedola, Rivolta, and Stracca (2015); Forbes, Reinhart, and Wieladek(2016); Aoki, Benigno, and Kiyotaki (2016); Boz and Mendoza (2014).
I House prices and capital flows into the United States
• Aizenman and Jinjarak (2009); Gete (2009); Bernanke (2010); Justiniano,Primiceri and Tambalotti (2014); Favilukis, Ludvigson and Van Nieuwerburgh(2017); Ferrero (2015).
I Sensitivity of consumption to asset price and credit shocks
• Jappelli and Pagano (1989); Almeida, Campello, and Liu (2006); Calza,Monacelli, and Stracca (2014); Berger, Guerrieri, Lorenzoni, and Vavra(2016); Mian, Sufi, and Verner (2016).
Main results and Related Literature 6
Outline
I Model
I Empirics
I Conclusions
Outline 7
Model
Overview of the Model
I Two-period, two-country, two-good endowment economy with no uncertainty
I Impatient Home households (i ∈ [0, n])
• Borrow (in domestic of foreign currency) to finance housing and non-housingconsumption, subject to collateral constraint
I Patient Foreign households (i ∈ (n, 1])
• Save via deposits and equity in financial intermediaries
I Global financial intermediaries
• Channel funds from lenders to borrowers
• Fixed fraction of lending denominated in local currency
• Subject to leverage constraint (capital requirement)
Model 9
Households
I Home country (starts with zero initial credit)
max{c1,c2,h1,f}
u(c1) + βu(c2) + v(h1)
with β ∈ (0, 1) and h0 given, subject to
c1 + qh1 = pH1y + qh0 + b + s1f
c2 = pH2y− Rbb− s2Rf
where
ct ≡cα
Htc1−αFt
αα(1− α)1−α
I Collateral constraintb + s1f ≤ θqh1
Model 10
Households
I Foreign country (1 > β∗ > β)
max{c∗1 ,c∗2 ,d,e}
u(c∗1) + β∗u(c∗2)
subject to
c∗1 + d + e + ψ(e) = p∗F1y∗
c∗2 = p∗F2y∗ + Rdd + Ree + Π
with ψ′, ψ′′ > 0, and
c∗ =c∗α∗
H c∗1−α∗F
α∗α∗(1− α∗)1−α∗
Model 11
Global Financial Intermediaries
I Balance sheet
Assets Liabilities
Loans in Home currency b/s1 Deposits dLoans in Foreign currency f
Equity e
I Profits
Π = Rf +Rbbs2− Rdd− Ree− φ
(bs1
)where φ(·) is cost of swapping loans in Foreign currency (with φ′, φ′′ > 0)
I Leverage constraint (capital requirement)
e ≥ χ
(bs1
+ f)
Model 12
Equilibrium: Analytical Characterization
I Assume α = 1− (1− λ)n and α∗ = nλ
• λ ∈ (0, 1) measures degree of openness
• Take limit for n→ 0⇒ Home becomes small open economy
I Abstract from intermediaries portfolio problem
• Define η ≡ b/(s1f )⇒ 1 + η = Inverse share of foreign currency liabilities
• Take η as parameter
I All households are risk-neutral and housing (land) is in fixed supply
• u′(c) = c > 0 and h0 = h1 = 1
I Then, we can solve analytically for
• Terms of trade from goods market equilibrium (⇒ Real exchange rate)
• Credit demand and credit supply
Model 13
Summary of Equilibrium Conditions
I Credit Supply
R =1 + χψ′[χ(1 + η)f ]
β∗+
ηφ′(ηf )1 + η
I Credit Demand
R =
1β
s1
s2if s1(1 + η)f < θq
1β
s1
s2
[κ
s1(1 + η)f− 1− θ
θ
]if s1(1 + η)f = θq
I Real Exchange Rate
s1 =
[λy
λy∗ + (1− λ)(1 + η)f
]1−λ
s2 =
[λy
λy∗ − (1− λ)R(1 + η)f
]1−λ
Model 14
Parameters
Parameter Description Value
β Country H discount factor 0.9β∗ Country F discount factor 0.99κ Normalized marginal utility of housing 0.85λ Degree of openness 0.79θ LTV ratio 0.92η Share of foreign debt 0.43χ Capital requirement 0.1y = y∗ Endowments 1
I Pick adjustment cost parameters to target
• Interest rate on credit
• Equity premium
Model 15
Credit Market Equilibrium
0.566 0.567 0.568 0.569 0.57 0.571 0.572
Credit (f)
3
3.5
4
4.5
5
5.5LendingRate(R
)
A
Demand
Supply (A)
Model 16
We assume economy is constrained at point B
0.566 0.567 0.568 0.569 0.57 0.571 0.572
Credit (f)
3
3.5
4
4.5
5
5.5LendingRate(R
)
A
B
Demand
Supply (A)
Supply (B)
Model 17
International credit supply shock in the model (χ ↓):
0.566 0.567 0.568 0.569 0.57 0.571 0.5723
4
5
6
R
(a) Lending Rate
B
B'
0.566 0.567 0.568 0.569 0.57 0.571 0.5720.9594
0.9596
0.9598
0.96
s1
(b) Exch. Rate
BB'
0.566 0.567 0.568 0.569 0.57 0.571 0.5720.85
0.851
0.852
0.853
0.854
q
(c) House Price
B
B'
0.566 0.567 0.568 0.569 0.57 0.571 0.5721.94
1.945
1.95
1.955
c 1
(d) Consumption
BB'
Model 18
International credit supply shock in the Model:
I In response to reduction of equity requirement on global banks (χ ↓)• Home country experiences credit inflow and lending rate declines (f ↑, R ↓)
• Real exchange rate appreciates (s1 ↓)
• House prices increase (if borrowing constraint is binding) (q ↑)
• Consumptions expands (c1 ↑)
I Role of asset prices
+ Collateral valuation effect: With binding borrowing constraint, higher houseprices (and appreciated real exchange rate) amplify boom
+ Endowment valuation effect: Home agents’ endowment worth more becauseof real exchange rate appreciation
– Debt valuation effect: Home agents’ borrowing in foreign currency worthless because of real exchange rate appreciation
Model 19
Empirics
PVAR Model
I Objective: Study transmission, relative importance and differential incidenceof international credit supply
I VAR for country i is
Xit = ai + bit + cit2 + F1iXi,t−1 + uit,
where
Xit =[
LEVt KFit Cit HPit RERit CAit/Yit]
I All variables are in real terms and in levels
I MG estimation following Pesaran and Smith (1995) and Pesaran (2006).
Empirics 21
Variables and Data
I Macro variables: private consumption and current account to GDP
I Asset prices: rouse prices and real exchange rate vis-a-vis the US dollar
• Sample: 57 countries with quarterly house price series between 1977 and 2012(Source Cesa-Bianchi, Cespedes, and Rebucci, 2015) Data Sources
I International credit: total claims (all instruments, to financial andnon-financial sectors) of BIS reporting banks on country i
KFit =N
∑j=1(j 6=i)
KFij,t
I LEVt is leverage of US broker-dealers from the flows of funds
• Shock to LEVt ≡ International credit supply shock
Empirics 22
Four examples of international credit series
I
1980 1985 1990 1995 2000 2005 2010
0
100
200
300
Argentina
1980 1985 1990 1995 2000 2005 2010
0
50
100
150
Brazil
1980 1985 1990 1995 2000 2005 2010
0
50
100
Ireland
1980 1985 1990 1995 2000 2005 2010
0
50
100
Spain
I Important role of banks in international financial intermediation in the runup to the global financial crisis
• Well correlated with measures of global liquidity–Bruno and Shin, (2015) andCesa-Bianchi, Cespedes, and Rebucci (2015).
Empirics 23
Determinants of Leverage
LEVt = α + βxt + εt
xt
∆FFRt −2.617∗∗ −2.819∗∗ −2.876∗∗[−2.164] [−2.407] [−2.464]
umt −0.0126
[−0.172]VIXt −0.00275∗∗∗ −0.00289∗∗∗ −0.00264∗∗∗
[−2.744] [−2.940] [−2.649]RL
t − Rt −1.0078∗ −0.844[−1.711] [−1.377]
YUSt 1.304
[0.953]Yw
t 6.101[1.390]
α −0.00178 −0.000286 −0.0579∗ −0.0156 −0.00827 0.0192 0.0589∗∗∗ 0.0658∗∗∗[−0.221] [−0.0341] [2.568] [1.280] [−0.693] [−1.197] [2.669] [2.919]
Obs. 111 111 111 111 111 111 111 111Adj. R2 0.041 0.000 0.065 0.026 0.008 0.017 0.096 0.103
Empirics 24
Identification of push shock that shifts internationalsupply of credit in the data
1. We use shocks to LEVt
2. Changes in LEVt shift global supply of cross-border bank credit
• Bruno and Shin (2014)
• Consistent with shock to χ in our theoretical model
3. Arguably exogenous to conditions in individual country i
• Not driven by country-specific “pull” factors
• Drop US from our sample
4. Is endogenous to global conditions and we can control for that i
5. Implementation with country by country Choleski decomposition and LEVtorder first (robust to using LEVt as instrument)
Empirics 25
Tasmission consistent with model and the stylizedfacts of boom bust in capital flows
Leverage
5 10 15 20 25 30 35 40
0
2
4
6
Pe
rce
nt
Cross-border Credit
5 10 15 20 25 30 35 40
0
0.5
1
1.5
2
Consumption
5 10 15 20 25 30 35 40
0
0.1
0.2
0.3
0.4
House Price
5 10 15 20 25 30 35 40
Quarters
0
0.5
1
Pe
rce
nt
Real Exch. Rate
5 10 15 20 25 30 35 40
Quarters
-0.8
-0.6
-0.4
-0.2
0
Current Account
5 10 15 20 25 30 35 40
Quarters
-0.2
-0.1
0
Empirics 26
The shock explains fraction of variance larger than aUS monetary policy shock
Leverage
5 10 15 20 25 30 35 40
0
50
100
Pe
rce
nt
Cross-border Credit
5 10 15 20 25 30 35 40
0
10
20
30Consumption
5 10 15 20 25 30 35 40
0
5
10
15
20
House Price
5 10 15 20 25 30 35 40
Quarters
0
5
10
15
20
25
Pe
rce
nt
Real Exch. Rate
5 10 15 20 25 30 35 40
Quarters
0
5
10
15
20Current Account
5 10 15 20 25 30 35 40
Quarters
0
5
10
15
Empirics 27
Robustness to controlling for global factors in LEV
I Small open economy assumption rules out local factors can drive LEVt
• No single country can affect leverage of global banks
I But LEVt could be affected by globally synchronized factors
I Synchronized shocks should affect world GDP
• Augment vector of endogenous variables with world GDP
Xit =[
Ywt LEVt KFit Cit HPit RERit CAit/Yit
]• Shock to leverage of US broker-dealers still identified with Choleski
Empirics 28
IRFs to Leverage Shock (Robustness)
Leverage
5 10 15 20 25 30 35 40
0
2
4
6
Cross-border Credit
5 10 15 20 25 30 35 40
0
0.5
1
1.5
Consumption
5 10 15 20 25 30 35 40
Quarters
0
0.1
0.2
Pe
rce
nt
House Price
5 10 15 20 25 30 35 40
Quarters
0
0.2
0.4
0.6
0.8
Real Exch. Rate
5 10 15 20 25 30 35 40
Quarters
-0.8
-0.6
-0.4
-0.2
0
Current Account
5 10 15 20 25 30 35 40
Quarters
-0.2
-0.1
0
0.1
Empirics 29
Variance Decomposition (Robustness)
Leverage
5 10 15 20 25 30 35 40
0
50
100Cross-border Credit
5 10 15 20 25 30 35 40
0
5
10
15
20Consumption
5 10 15 20 25 30 35 40
Quarters
0
5
10
15
Pe
rce
nt
House Price
5 10 15 20 25 30 35 40
Quarters
0
5
10
15
20Real Exch. Rate
5 10 15 20 25 30 35 40
Quarters
0
5
10
15Current Account
5 10 15 20 25 30 35 40
Quarters
0
5
10
15
Empirics 30
Understanding Cross-Country Heterogeneity
I Conjecture: Country responses depend on
• Share foreign currency liabilities 1/(1 + η)
• Maximum LTV limit θ
I Derive sensitivity of response of endogenous variable to η and θ
∂2x∂χ∂η
and∂2x
∂χ∂θ
for x = {c1, q, s1}
I Compare theoretical predictions with data
• Scatter plot of peak IRFs of Ci, HPi, and RERi to eLEVt vs. θi and ηi in the
data
Empirics 31
LTV Ratios
I Prediction 1: A larger LTV ratio (higher θ) implies a higher sensitivity of Ci,HPi, and RERi to shocks to χ
• If constraint binds, higher θ leads to higher house price response, and hencelarger collateral effect and amplification
• Higher θ leads to higher credit and demand and hence larger real exchangerate response
40 60 80
(Home Ownership) x (max LTV)
-0.5
0
0.5
1
1.5
IRs (
Ma
x)
Consumption
Correlation: 0.3t-Statistic: 2.0
40 60 80
(Home Ownership) x (max LTV)
0
2
4
IRs (
Max)
House Price
Correlation: 0.4t-Statistic: 2.9
40 60 80
(Home Ownership) x (max LTV)
-3
-2
-1
0
IRs (
Max)
Real Exch. Rate
Correlation: -0.2t-Statistic: -1.3
Empirics 32
FX Shares
I Prediction 2: A larger share of foreign currency debt (lower η) may imply ahigher sensitivity of Ci, HPi, and RERi to shocks to χ
• Lower η implies larger collateral valuation and debt valuation effects
• If collateral effect dominates valuation effect, higher η leads to higher creditand demand, and hence larger real exchange rate response, potentiallyamplifying the initial credit impulse
0.2 0.4 0.6 0.8
Share of foreign currency debt
-0.5
0
0.5
1
1.5
IRs (
Ma
x)
Consumption
Correlation: 0.5t-Statistic: 4.8
0.2 0.4 0.6 0.8
Share of foreign currency debt
-2
0
2
4
IRs (
Max)
House Price
Correlation: 0.6t-Statistic: 5.1
0.2 0.4 0.6 0.8
Share of foreign currency debt
-3
-2
-1
0
IRs (
Max)
Real Exch. Rate
Correlation: -0.4t-Statistic: -3.7
Empirics 33
Conclusions
I International credit supply shock ⇒ Boom in receiving economy in themodel and in the data
I Theory: Source and trasmission of international credit supply shocks ⇒Variations of capital requirements that shift credit supply outward
• Credit expands, lending rates and housing yields decline, exchange rateappreciates and consumption increases
• House prices and exchange rates can amplify initial impulse via collateralconstraint
• The more so the higher the max LTV and share of FX liabilities
I Empirics: Identified shock to US broker-dealers’ leverage
• Increases cross-border credit and a domestic boom
• Shock explains a significant share of variance
• LTV ratios and FX shares associated with peak responses of consumption,house prices and exchange rates
• Macro-prudential policy could target them
Conclusions 34
Appendix
Data Sources: Countries
I 24 Advanced Economies: Australia, Austria, Belgium, Canada, Denmark,Finland, France, Germany, Greece, Iceland, Ireland, Italy, Japan,Luxembourg, Malta, Netherlands, New Zealand, Norway, Portugal, Spain,Sweden, Switzerland, UK, and US
I 33 Emerging Economies: Argentina, Brazil, Bulgaria, Chile, China,Colombia, Croatia, Czech Republic, Estonia, Hong Kong, Hungary, India,Indonesia, Israel, Korea, Latvia, Lithuania, Malaysia, Mexico, Morocco, Peru,Philippines, Poland, Russia, Serbia, Singapore, Slovakia, Slovenia, SouthAfrica, Taiwan, Thailand, Ukraine, and Uruguay
I Sample: 1970:Q1–2012:Q4 (subject to data availability)
Back
Appendix 36
Data Sources: Quantities
I Cross-border banking flows. Foreign claims (all instruments, in allcurrencies, locational by residence) of all BIS reporting banks vis-a-vis allsectors deflated by US consumer price inflation. Source: BIS.
I GDP. Real index. Source: OECD, IMF IFS, Bloomberg.
I Consumption. Real private final consumption index. Source: OECD, IMF,IFS, Bloomberg.
I Current account to GDP ratio. Current account balance divided bynominal GDP. Source: OECD, IMF IFS, Bloomberg.
Back
Appendix 37
Data Sources: Prices
I House prices. Nominal house prices deflated by consumer price inflation.Source: Cesa-Bianchi et al (2015, JMCB)
I Short-term interest rates. Short-term nominal market rates. A realex-post interest rate is obtained by subtracting consumer price inflation.Source: OECD, IMF, IFS, Bloomberg.
I Consumer prices. Consumer price index. Source: OECD, IMF IFS,Bloomberg.
I Equity prices. Equity price index deflated by consumer price inflation.Source: OECD, IMF IFS, Bloomberg.
I Exchange rate vis-a-vis US dollar. US dollars per unit of domesticcurrency. A real exchange rate is obtained with US and domestic consumerprice inflation. Source: Datastream.
I Real effective exchange rate. Index (such that a decline of the index is adepreciation). Source: IMF IFS, BIS, Bloomberg.
Back
Appendix 38
Cross-Border Credit: Banks vs. Non-Banks
1977 1981 1985 1989 1993 1997 2001 2005 2009 20130
5
10
15
20
25
30
US
Dollars
(T
rillio
ns)
Banks
Non-banks
Total
Back
Appendix 39
Boom-Bust Cycles in Cross-Border Credit
I Event study (Mendoza and Terrones, 2008):
I Boom (Bust) = At least 3 consecutive years of ∆ ln KFit > 0 (< 0)
I 134 boom, 81 bust, and 50 boom-bust episodes
I Observe economy’s behavior around boom-bust cycles’ peak
Appendix 40
Boom-Bust Cycles in Cross-Border Credit
Cross-border Credit
-3 -2 -1 0 +1 +2 +3-20
0
20
40House Price
-3 -2 -1 0 +1 +2 +3-10
0
10Equity Price
-3 -2 -1 0 +1 +2 +3-40
-20
0
20
Real Eff. Exch. Rate
-3 -2 -1 0 +1 +2 +3-10
-5
0
5Real Exch. Rate (USD)
-3 -2 -1 0 +1 +2 +3-5
0
5
10Current Account / GDP
-3 -2 -1 0 +1 +2 +3-2
0
2
4
GDP
-3 -2 -1 0 +1 +2 +3-5
0
5Consumption
-3 -2 -1 0 +1 +2 +3-5
0
5
10Real Short-term Int. Rate
-3 -2 -1 0 +1 +2 +3-4
-2
0
2
Mean Median
Back
Appendix 41
Event Study: Summary Statistics
Mean Across Episodes
Boom Bust Boom-bust
ALL AE EM ALL AE EM ALL AE EM
Number 2.4 2.5 2.3 1.4 1.1 1.6 0.9 0.8 0.9Duration 7.3 8.8 6.1 4.4 3.7 4.8 12.7 13.4 12.4Max 32.6 28.5 35.9 -4.2 -4.6 -4.1 36.3 29.5 40.5Min 5.0 3.7 5.9 -20.4 -17.5 -21.9 -21.8 -19.2 -23.5Amplitude 131.6 130.1 132.8 -53.2 -36.9 -61.3 103.5 115.7 96.0
Median Across Episodes
Boom Bust Boom-bust
ALL AE EM ALL AE EM ALL AE EM
Number 2.0 2.0 2.0 1.0 1.0 2.0 1.0 1.0 1.0Duration 6.0 8.0 5.0 4.0 3.0 4.0 12.0 13.0 12.0Max 28.5 26.0 31.0 -3.0 -3.0 -3.0 29.0 27.0 31.0Min 3.0 2.0 4.0 -18.0 -15.0 -19.0 -19.0 -18.0 -20.0Amplitude 105.5 121.0 84.0 -42.0 -30.0 -51.5 80.5 106.0 39.0
Note: Number is number of episodes; Duration is length of episodes in years; Max and Min aremaximum and minimum growth rate of cross-border credit during episode, respectively; Amplitudeis cumulative sum of growth rate of cross-border credit over episode.
Appendix 42
US Broker-Dealers Leverage
1977 1982 1987 1992 1997 2002 20070
5
10
15
20
25
30
35
Trillio
ns (
Co
nsta
nt
20
08
:Q2
US
D)
Cross-Border Credit (left axis) Leverage (right axis)
0
5
10
15
20
25
30
35
Asse
ts/E
qu
ity
Source: US Flow of FundsAppendix 43
Alternative Identification
I Block exogenous VAR (abstracting from constant and time trend)[LEVtxi,t
]=
[F11,i 0F21,i F22,i
] [LEVt−1xi,t−1
]+
[B11,i 0B21,i B22,i
] [eLEV
tex
i,t
]
I Can still achieve identification with Choleski decomposition
I Robustness
• “Clean” leverage of variation due to world GDP
LEVt = F11LEVt−1 + βGDPwt + uLEV
t
xi,t = F21,iLEVt−1 + F22,ixi,t−1 + uxi,t
Appendix 44
Alternative Identification: IRFs to Leverage Shock
Leverage
5 10 15 20 25 30 35 40
0
2
4
6
8
Pe
rce
nt
Cross-border Credit
5 10 15 20 25 30 35 40
0
1
2
3
Consumption
5 10 15 20 25 30 35 40
0
0.1
0.2
0.3
0.4
House Price
5 10 15 20 25 30 35 40
Quarters
0
0.5
1
1.5
Pe
rce
nt
Real Exch. Rate
5 10 15 20 25 30 35 40
Quarters
-1
-0.8
-0.6
-0.4
-0.2
0Current Account
5 10 15 20 25 30 35 40
Quarters
-0.3
-0.2
-0.1
0
Appendix 45
Alternative Identification: Variance Decomposition
Leverage
5 10 15 20 25 30 35 40
0
50
100
Pe
rce
nt
Cross-border Credit
5 10 15 20 25 30 35 40
0
20
40
60Consumption
5 10 15 20 25 30 35 40
0
10
20
30
40
House Price
5 10 15 20 25 30 35 40
Quarters
0
10
20
30
40
50
Pe
rce
nt
Real Exch. Rate
5 10 15 20 25 30 35 40
Quarters
0
10
20
30Current Account
5 10 15 20 25 30 35 40
Quarters
0
10
20
30
Appendix 46
Alternative Identification: Robustness
Leverage
5 10 15 20 25 30 35 40
0
2
4
6
Pe
rce
nt
Cross-border Credit
5 10 15 20 25 30 35 40
0
0.5
1
1.5
2
Consumption
5 10 15 20 25 30 35 40
0
0.1
0.2
0.3
House Price
5 10 15 20 25 30 35 40
Quarters
0
0.2
0.4
0.6
0.8
1
Pe
rce
nt
Real Exch. Rate
5 10 15 20 25 30 35 40
Quarters
-0.8
-0.6
-0.4
-0.2
0
Current Account
5 10 15 20 25 30 35 40
Quarters
-0.2
-0.1
0
Appendix 47
Alternative Identification: Robustness FEVD
Leverage
5 10 15 20 25 30 35 40
0
50
100
150
Pe
rce
nt
Cross-border Credit
5 10 15 20 25 30 35 40
0
10
20
30Consumption
5 10 15 20 25 30 35 40
0
10
20
30
House Price
5 10 15 20 25 30 35 40
Quarters
0
10
20
30
Pe
rce
nt
Real Exch. Rate
5 10 15 20 25 30 35 40
Quarters
0
5
10
15
20Current Account
5 10 15 20 25 30 35 40
Quarters
0
5
10
15
20
Appendix 48