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    Global Liquidity

    Hyun Song Shin

    September 2011

    Princeton Initiative in Macro, Money and Finance

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    Three Themes

    Banking sector as driver of global financial conditions

    Global banks (esp. European global banks) as transmission channel ofglobal liquidity conditions

    US Dollar as currency underpinning global banking system

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    Mapping Global Liquidity

    Consequences of global liquidity for United States

    (Global flow of funds perspective)

    Consequences of global liquidity for Europe(very briefly...)

    Consequences of global liquidity for emerging/developing economies

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    Corporate Finance of Banking

    A L

    Assets

    Equity

    Debt

    3

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    A L

    Assets

    Equity

    Debt

    A L

    Assets

    Equity

    Debt

    4

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    A L

    Assets

    Equity

    Debt

    A L

    Assets

    Equity

    Debt

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    Asset growth

    Leverage

    growth

    Slope = 1

    0 A

    B

    6

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    Asset growth

    Leverage

    growth

    Slope = 1Constant equity

    growth of g

    g

    0

    Constant equity

    line

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    1998-3

    1998-4

    2007-3

    2007-4

    -.2

    -.1

    0

    .1

    .2

    TotalAssetGrowth

    -.2 -.1 0 .1 .2Leverage Growth

    Lehman Brothers

    1998-3

    1998-4

    2007-3

    2007-4

    -.2

    -.1

    0

    .1

    .2

    TotalAssetGrowth

    -.2 -.1 0 .1 .2Leverage Growth

    Merrill Lynch

    1998-3

    1998-4

    2007-3

    2007-4

    -.2

    -.1

    0

    .1

    .2

    TotalAssetGrowth

    -.2 -.1 0 .1 .2Leverage Growth

    Morgan Stanley

    1998-3

    1998-42007-3

    2007-4

    -.1

    0

    .1

    .2

    To

    talAssetGrowth

    -.2 -.1 0 .1 .2Leverage Growth

    Bear Sterns2007-3

    2007-4

    -.05

    0

    .05

    .1

    To

    talAssetGrowth

    -.15 -.1 -.05 0 .05 .1Leverage Growth

    Goldman Sachs

    1998-3

    1998-4

    -.3

    -.2

    -.1

    0

    .1

    To

    talAssetGrowth

    -.2 -.1 0 .1 .2Leverage Growth

    Citigroup Markets 98-04

    Total Assets and Leverage

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    1998-4

    2007-3

    2007-4

    2008-1

    -.2

    -.1

    0

    .1

    .2

    TotalAssets(logchange)

    -.2 -.1 0 .1 .2Leverage (log change)

    Asset weighted, 1992Q3-2008Q1, Source: SEC

    Leverage and Total Assets Growth

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    What Drives the Leverage Cycle?

    Value-at-Risk (VaR) is approximate worst case loss - smallest non-negative such that

    Prob ( 0 ) for small 0

    Value-at-Risk Rule (Basel). Maintain equityto limit failure prob to

    = =

    is Unit VaR (Value-at-Risk per dollar of assets). Leveragesatisfies

    =1

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    Empirical implication:

    ln = ln

    so that

    ln ln 1= (ln ln 1) (*)

    Scatter chart of leverage changes against unit VaR changes should haveslope

    1.

    Evidence?

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    2007-Q3

    2007-Q4 2008-Q1

    2008-Q2

    2008-Q3

    2008-Q4

    2009-Q1

    -0.6

    -0.4

    -0.2

    0

    0.2

    0.4

    0.6

    0.8

    1

    -1 -0.8 -0.6 -0.4 -0.2 0 0.2 0.4

    Leverage Growth

    UnitVaR

    Grow

    th

    Figure 1: Five (then four, three, then two) Wall Street banks, Adrian andShin (2011) Procyclical Leverage and Value-at-Risk

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    -5

    0

    5

    10

    15

    20

    Dec-01

    Jun-02

    Dec-02

    Jun-03

    Dec-03

    Jun-04

    Dec-04

    Jun-05

    Dec-05

    Jun-06

    Dec-06

    Jun-07

    Dec-07

    Jun-08

    Dec-08

    Jun-09

    Dec-09

    Jun-10

    Dec-10

    Pre-Cri

    sisStandardDeviations

    Unit VaR

    VaR/E

    Leverage

    Figure 2: Deleveraging keeps VaR in check: Adrian and Shin (2011)

    Procyclical Leverage and Value-at-Risk 13

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    -5

    0

    5

    10

    15

    20

    Dec-01

    Jun-02

    Dec-02

    Jun-03

    Dec-03

    Jun-04

    Dec-04

    Jun-05

    Dec-05

    Jun-06

    Dec-06

    Jun-07

    Dec-07

    Jun-08

    Dec-08

    Jun-09

    Dec-09

    Jun-10

    Dec-10

    Pre-CrisisStandardDeviat

    ions

    Unit VaR

    Implied

    Vol

    CDSSpread

    Figure 3: Unit VaR tracks VIX with accounting lag: Adrian and Shin (2011)

    Procyclical Leverage and Value-at-Risk 14

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    0.0

    0.2

    0.4

    0.6

    0.8

    1.0

    1.2

    1.4

    1992

    1993

    1994

    1995

    1996

    1997

    1998

    1999

    2000

    2001

    2002

    2003

    2004

    2005

    2006

    2007

    Trillionpounds

    Equity

    Other Liabilities

    Total MMFfunding

    CustomerDeposits

    Figure 4: Total Liabilities of Barclays (1992 - 2007) (Source: Bankscope)

    15

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    0.0

    0.2

    0.4

    0.6

    0.8

    1.0

    1.2

    1.4

    1992

    1993

    1994

    1995

    1996

    1997

    1998

    1999

    2000

    2001

    2002

    2003

    2004

    2005

    2006

    2007

    Trillionpounds

    Total Assets

    Risk-WeightedAssets

    Figure 5: Barclays, risk-weighted assets and total assets (Source:

    Bankscope) 16

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    0.0%

    2.0%

    4.0%

    6.0%

    8.0%

    10.0%

    12.0%

    14.0%

    16.0%

    18.0%

    1992

    1994

    1996

    1998

    2000

    2002

    2004

    2006

    2008

    201

    0

    TotalCapitalRatio

    Tier 1Ratio

    Equity/Total

    Assets

    Figure 6: Barclays, capital ratios (Source: Bankscope)

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    0.0

    0.5

    1.0

    1.5

    2.0

    2.5

    1999

    2000

    2001

    2002

    2003

    2004

    2005

    2006

    2007

    2008

    2009

    201

    0

    TrillionEuros

    Equity

    Other Liabilities

    Total CustomerDeposits

    Figure 7: BNP Paribas total liabilities (Source: Bankscope)

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    0.0%

    2.0%

    4.0%

    6.0%

    8.0%

    10.0%

    12.0%

    14.0%

    16.0%

    1999

    2000

    2001

    2002

    2003

    2004

    2005

    2006

    2007

    2008

    2009

    201

    0

    TotalCapitalRatio

    Tier 1 Ratio

    Equity/TotalAssets

    Figure 9: BNP Paribas capital ratios (Source: Bankscope)

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    Turning Credit Risk Model on Its Head

    Turn credit risk model on its head and think of it as credit supply model

    Fix . Determine credit supply

    =

    1

    1+

    1+

    () (0 1)

    is ratio ofnotional assetstonotional debt

    [ is normalized leverage measure, with (0 1)]

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    BIS Banking Statistics

    BISlocational banking statistics

    Classification based onresidence Branches/subsidiaries of global banks classified under host country Consistent with balance of payments and national income statistics Cross-border claims

    BISconsolidated banking statistics

    Classification based onnationality of parent

    Foreign claims = cross-border claims + local claims International claims = cross-border claims + local claims in foreign

    currency

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    2008Q1

    2.0

    3.0

    4.0

    5.0

    6.0

    7.0

    8.0

    9.0

    10.0

    11.0

    1

    999Q1

    2

    000Q2

    2

    001

    Q3

    2

    002

    Q4

    2

    004

    Q1

    2

    005Q2

    2

    006Q3

    2

    007

    Q4

    2

    009Q1

    2

    010Q2

    TrillionDollars

    US charteredcommercialbanks' totalfinancial

    assets

    US dollarassets ofbanks outsideUS

    Figure 11: US dollar cross-border foreign currency claims and US commercial

    bank total assets (Source: Flow of Funds, Federal Reserve and BISlocational banking statistics, Table 5A)

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    Figure 12: US Dollar-denominated assets and liabilities of euro area banks(Source: ECB Financial Stability Review, June 2011, p. 102)

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    USHouseholds

    USBorrowers

    USBankingSector

    EuropeanGlobalBanks

    border

    Wholesale

    funding market

    Shadow banking

    system

    Figure 13: European global banks add intermediation capacity for

    connecting US savers and borrowers 28

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    0

    50

    100

    150

    200

    250

    300

    350

    400

    450

    Dec-07

    Feb-0

    8

    Apr-0

    8

    Jun-0

    8

    Aug

    -08

    Oct-08

    Dec-0

    8

    Feb-0

    9

    Apr-0

    9

    Jun-0

    9

    Aug

    -09

    Oct-09

    Dec-0

    9

    Feb-1

    0

    Billion

    Dollars

    Japan

    Canada

    Ireland

    Switzerland

    Netherlands

    France

    Germany

    UK

    USA

    Figure 15: Claims outstanding on Federal Reserve Term Auction Facility

    (TAF) on US and non-US banks (Source: Federal Reserve disclosures onTAF)

    30

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    0

    50

    100

    150

    200

    250

    Dec-07

    Feb-0

    8

    Apr-0

    8

    Jun-0

    8

    Aug

    -08

    Oct-08

    Dec-0

    8

    Feb-0

    9

    Apr-0

    9

    Jun-0

    9

    Aug

    -09

    Oct-09

    Dec-0

    9

    Feb-1

    0

    Billion

    Dollars

    Japan

    Canada

    Ireland

    Switzerland

    Netherlands

    France

    Germany

    UK

    Figure 16: Claims outstanding on Federal Reserve Term Auction Facility

    (TAF) on non-US banks (Source: Federal Reserve disclosures on TAF) 31

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    31-Dec-08

    30-Jun-08

    -100

    0

    100

    200

    300

    400

    500

    600

    700

    800

    900

    Mar-8

    5

    Se

    p-8

    6

    Mar-8

    8

    Se

    p-8

    9

    Mar-91

    Se

    p-92

    Mar-94

    Se

    p-9

    5

    Mar-97

    Se

    p-9

    8

    Mar-0

    0

    Se

    p-01

    Mar-0

    3

    Se

    p-04

    Mar-0

    6

    Se

    p-07

    Mar-0

    9

    Se

    p-1

    0

    Billion

    Dollars

    Interoffice Assets of ForeignBanks in US

    Net Interoffice Assets ofForeign Banks in US

    Figure 18: Interoffice assets of foreign banks in the United States (Source:Federal Reserve, series on Assets and Liabilities of U.S. Branches andAgencies of Foreign Banks)

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    Fund CDs and timedeposits Commercialpaper Corporatenotes Repos Total Net assets,$ billionsFidelity Cash Reserves 91 / 73 28 / 27 54 / 34 70 / 70 63 / 51 128JPMorgan Prime Money Market 98 / 94 35 / 31 57 / 39 73 / 73 67 / 62 120Vanguard Prime Money Market 94 / 69 39 / 25 0 / 0 68 / 68 33 / 24 106BlackRock Liquidity Temp 95 / 91 4 / 4 37 / 17 13 / 13 51 / 47 68Reserve Primary 98 / 88 24 / 18 54 / 51 18 / 18 43 / 37 65Schwab Value Advantage 91 / 64 24 / 19 58 / 48 67 / 67 54 / 40 61GS FS Prime Obligations 0 / 0 0 / 0 0 / 0 2/2 0 / 0 56Dreyfus Inst Cash Advantage 85 / 71 32 / 25 33 / 24 0 / 0 62 / 51 49Fidelity Inst Money Market 100 / 91 44 / 44 51 / 36 45 / 45 61 / 54 47Morgan Stanley Inst Liq Prime 4 / 4 19 / 19 0 / 0 91 / 91 37 / 37 34Dreyfus Cash Management 92 / 75 46 / 30 31 / 31 0 / 0 70 / 56 33AIM STIT Liquid Assets 95 / 69 25 / 20 27 / 16 84 / 84 57 / 45 32Barclays Inst Money Market 67 / 57 10/6 30 / 21 21 / 21 24 / 19 31

    Merrill Lynch Premier Inst Portfolio 92 / 80 32 / 25 46 / 36 45 / 45 60 / 51 26Fidelity Inst Money Market: Prime 100 / 90 33 / 33 51 / 34 15 / 15 56 / 47 21Total 92 / 78 26 / 22 47 / 33 51 / 51 50 / 42 878Share of asset class in assets 34 26 13 11 100

    Figure 21: US prime money funds assets in non-US/European bankobligations (% each asset class) mid-2008 (Source: Baba, McCauley andRamaswamy, BIS Quarterly Review 2009)

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    ABCP Sponsor Location and Funding Currency ($ million)Currency /Sponsor

    Location

    U.S. dollars Euro Yen Other Total

    Belgium 30,473 4,729 0 0 35,202Denmark 1,796 0 0 0 1,796

    France 51,237 23,670 228 557 75,692Germany 139,068 62,885 0 2,566 204,519

    Italy 1,365 0 0 0 1,365

    Japan 18,107 0 22,713 0 40,820Netherlands 56,790 65,859 0 3,116 125,765

    Sweden 1,719 0 0 0 1,719

    Switzerland 13,082 0 0 0 13,082nited Kingdom 92,842 62,298 0 3,209 158,349

    United States 302,054 0 0 2,996 305,050

    Total 714,871 219,441 22,941 12,444 969,697

    Figure 22: ABCP sponsor location and funding currency January 1, 2007(Source: Acharya and Schnabel, IMF Economic Review 2009, data fromMoodys)

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    0.0

    0.5

    1.0

    1.5

    2.0

    2.5

    3.0

    3.5

    4.0

    1980Q1

    1982

    Q1

    1984

    Q1

    1986Q1

    1988Q1

    1990Q1

    1992

    Q1

    1994

    Q1

    1996Q1

    1998Q1

    2000Q1

    2002

    Q1

    2004

    Q1

    2006Q1

    2008Q1

    201

    0Q1

    Trillion

    Dollars

    Municipal securities

    Agency and GSE

    Treasury

    Other Assets

    Open market paper

    Time and savingsdeposits

    Repos

    Figure 23: US Money market mutual fund assets (Source: Federal Reserve,

    Flow of Funds) 38

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    USHouseholds

    USBorrowers

    USBankingSector

    EuropeanGlobal

    Banks

    border

    Wholesale

    funding market

    Shadow banking

    system

    Subprime safeliquid claims

    Figure 24: Expanding lending capacity of European banks draw USD fundingto finance increased USD lending through shadow banking system

    39

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    USD Billion Total BondHoldings Treasury Agency Corporate CorporateMBSTotal 6,642 2,194 1,413 3,035 594

    Advanced 3,508 963 508 2,037 350Offshore 762 85 111 566 204

    Emerging/developing 2,373 1,147 794 432 40

    China 894 477 387 29 9Japan 976 622 231 123 17

    Cayman Islands 461 29 56 376 157United Kingdom 500 48 28 424 90

    Luxembourg 469 56 42 371 39

    Belgium 372 15 33 323 19Ireland 261 16 30 215 33

    Switzerland 155 40 18 97 20

    Germany 166 46 15 105 33Netherlands 136 17 24 96 32

    France 90 17 11 62 31

    Figure 25: Foreign holding of US bonds in mid 2007 (Source: US Treasuryand Milesi-Ferretti (2009), G20 Mumbai Volume)

    40

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    Gross Positions versus Net Positions

    Largegross positionscreated by European banks impact on USfinancialconditions.

    But net positions (current account imbalances) are small since assetsand liabilities net out.

    Eurzone has near-balanced current account

    UK has current account deficit Borio and Disyatat (BIS working paper, 2011)

    Focusing on Global Savings Glut (net positions) misses the Global

    Banking Glut (gross positions)

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    Why did European banks expand so much?Two candidate explanations:

    Basel II and EU Capital Adequacy Directive (CAD) allowed Europeanbanks to expand assets without incurring rising risk-weighted assets

    Advent of Euro opened up cross-border banking market within theeurozone

    [Shin (2011) Mapping Global Liquidity, IMF Mundell-Fleming Lecture]

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    Implications for Current Conjuncture in Europe

    Europe has atwin crisis, combiningbanking crisiswithsovereign debtcrisis

    Emerging economy crises of 1990s were twin crises, combiningbanking crisiswithcurrency crisis

    Deleveraging by European banks will impact not only eurozone, but also

    US shadow banking system Capital flows to emerging economies (see below) Emerging Europe, especially

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    Landscape of Global Banking

    Borrowers

    in A

    Borrowers

    in B

    Borrowers

    inC

    Banks

    in A

    Banks

    in B

    Banks

    in C

    Global

    BanksWholesale

    Funding

    Market

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    Borrowers

    in A

    Borrowers

    in B

    Borrowers

    inC

    Banks

    in A

    Banks

    in B

    Banks

    in C

    Global

    BanksWholesale

    Funding

    Market

    45

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    100

    0

    50

    100

    150

    200

    250

    300

    350

    400

    450

    500

    Mar.1

    999

    Mar.2

    000

    Mar.2

    001

    Mar.2

    002

    Mar.2

    003

    Mar.2

    004

    Mar.2

    005

    Mar.2

    006

    Mar.2

    007

    Mar.2

    008

    Mar.2

    009

    Mar.2

    01

    0

    Ireland

    Spain

    Turkey

    Australia

    South Korea

    Chile

    Brazil

    Egypt

    South Africa

    Figure 26: External claims (loans and deposits) of BIS reporting banks oncounterparties listed on right (Source: BIS locational banking statistics

    Table 7A) 46

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    100

    0

    50

    100

    150

    200

    250

    300

    350

    Mar.1

    999

    Mar.2

    000

    Mar.2

    001

    Mar.2

    002

    Mar.2

    003

    Mar.2

    004

    Mar.2

    005

    Mar.2

    006

    Mar.2

    007

    Mar.2

    008

    Mar.2

    009

    Mar.2

    01

    0

    Australia

    South Korea

    Indonesia

    Malaysia

    Thailand

    Figure 27: External claims (loans and deposits) of BIS reporting banks oncounterparties listed on right (Source: BIS locational banking statistics

    Table 7A) 47

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    100

    0

    100

    200

    300

    400

    500

    600

    700

    800

    Mar.1

    999

    Mar.2

    000

    Mar.2

    001

    Mar.2

    002

    Mar.2

    003

    Mar.2

    004

    Mar.2

    005

    Mar.2

    006

    Mar.2

    007

    Mar.2

    008

    Mar.2

    009

    Mar.2

    01

    0

    Slovakia

    Poland

    Ireland

    Spain

    Turkey

    Figure 28: External claims (loans and deposits) of BIS reporting banks oncounterparties listed on right (Source: BIS locational banking statisticsTable 7A) 48

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    100

    0

    500

    1,000

    1,500

    2,000

    2,500

    3,000

    Mar.1

    99

    9

    Mar.2

    00

    0

    Mar.2

    00

    1

    Mar.2

    00

    2

    Mar.2

    00

    3

    Mar.2

    00

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    Mar.2

    00

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    Mar.2

    00

    7

    Mar.2

    00

    8

    Mar.2

    00

    9

    Mar.2

    01

    0

    Latvia

    Lithuania

    Estonia

    Iceland

    Figure 29: External claims (loans and deposits) of BIS reporting banks oncounterparties listed on right (Source: BIS locational banking statisticsTable 7A) 49

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    0

    100

    200

    300

    400

    500

    600

    700

    800

    Greece Ireland Spain Australia South Korea

    Billion

    Dollars

    Other

    Japan

    United States

    United Kingdom

    Netherlands

    France

    Germany

    Figure 30: International claims of BIS reporting banks on counterpartiesin countries listed on right (Dec 2010) (Source: BIS consolidated banking

    statistics Table 9D)

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    0%

    10%

    20%

    30%

    40%

    50%

    60%

    70%

    80%

    90%

    100%

    Greece Ireland Spain Australia SouthKorea

    Other

    Japan

    United States

    United Kingdom

    Netherlands

    France

    Germany

    Figure 31: International claims (by percent) of BIS reporting bankson counterparties in countries listed on right (Dec 2010) (Source: BIS

    consolidated banking statistics Table 9D)

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    Claims of European Banks on Counterparties in Korea

    0

    50

    100

    150

    200

    250

    2005-Q2

    2005-Q4

    2006-Q2

    2006-Q4

    2007-Q2

    2007-Q4

    2008-Q2

    2008-Q4

    2009-Q2

    2009-Q4

    201

    0-Q2

    201

    0-Q4

    BillionDollars

    Other European BISReporting countries

    Switzerland

    United Kingdom

    France

    Germany

    Figure 32: International claims of European BIS-reporting banks oncounterparties in Korea (Source: BIS consolidated banking statistics Table9D)

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    Credit Supply

    Notation for balance sheet of bank

    C

    E

    f1r1L

    Bank

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    Credit Supply as Flip Side of Credit Risk Model

    Vasicek (2002) model, backbone of Basel capital requirements.1

    Borrower repays the loan when 0, where

    = 1 () +

    +p

    1

    ()c.d.f. of standard normal, and{} independent standard normals

    Pr ( 0) = Pr

    +p

    1 1 ()

    = 1 ()= 1http://www.moodyskmv.com/conf04/pdf/papers/dist loan port val.pdf

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    Bank diversifi

    es away idiosyncractic risk

    Conditional on , defaults are independent.

    Keep fi

    xed but diversify: increase number of borrowers, reduce face valueof individual loans

    In the limit, realized value of assets is function of only

    () (1 + ) Pr ( 0|)= (1 + ) Pr

    +

    p1 1 () |

    = (1 + ) 1()1

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    0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 10

    3

    6

    9

    12

    15

    Dens

    ityover

    assetre

    alizations

    rho=0.03

    rho=0.07

    rho=0.15

    Asset realization densities for three values of [= 01, (1 +) = 1]

    1

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    0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 10

    4

    8

    12

    16

    20

    Densityover

    asset

    realizations

    epsilon=0.05

    epsilon=0.10

    epsilon=0.15

    Asset realization densities for three values of [= 02, (1 +) = 1]

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    c.d.f. of

    () = Pr ( )= Pr

    1 ()=

    1 ()

    =

    1

    1 () +

    p1 1

    (1 + )

    Common risk factordetermines shape of the density, with largerimplyingfatter tail.

    Value-at-Risk (VaR) rule: keep enough equity to limit insolvencyprobability to 0

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    Private credit determined from

    Pr ( (1 + ) ) =

    1()+

    11

    (1+)(1+)

    !=

    Notional liabilitiesNotional assets

    =(1 + ) (1 + )

    = 1 () 1 ()

    1

    (1)

    where

    ()

    1()1()1

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    0.0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.00.0

    0.1

    0.2

    0.3

    0.4

    0.5

    0.6

    0.7

    0.8

    0.9

    Figure 33: Plot of notional debt to assets ratio (). This chartplots as a function of with = 0001. Dark line is when = 001.

    Light line is when = 0005.

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    Supply of CreditCredit supplyand demand for funding is obtained from (1) and balancesheet identity=+

    =

    1 1+1+ =

    1+1+

    1 1

    Aggregation holds due to proportionality

    Leverage = 11 1+1+

    Risk premium is well-defined

    Risk premium = (1 ) (1 + ) 1

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    Risk premium is decreasing as assets expand by sliding down the creditdemand curve. Lending standards are eroded in this sense.

    0 f

    E

    111

    1/

    Credit

    Supply

    11

    f

    rC

    r

    Supply of credit

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    Double-decker model of Global Liquidity

    C

    RE

    M

    GE

    i1f1r1

    L

    L

    Regional Bank Global Bank

    Figure 34: Bruno and Shin (2011) Capital Flows, Cross-Border Banking

    and Global Liquidity

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    Global, Regional and Idiosyncratic Risk Factors

    1 () +

    +

    p1

    =p

    +p

    1 Regional bank defaults when

    1

    ((1 + ) ) =

    11

    () +p

    1

    1

    ()

    Or when 0

    1 ()p1 1 ()=

    p +

    p (1 ) 1 ()

    p1 1 ()

    63

    f f f

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    Asset realization is deterministic function of global risk factor

    () = (1 + ) Pr ( 0|)

    = (1 + ) Pr 1()+

    11()

    (1) q 1= (1 + )

    q 1

    1()+

    11()

    (1)

    Quantiles follow from the c.d.f. of ().

    () = Pr ( () )= Pr

    1 ()

    =

    1 ()

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    N i l li bili i (1 )

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    Notional liabilities

    Notional assets = (1 + )

    (1 + )

    =

    1()1()

    11()

    (1)

    ( )

    Cross-border loan supply

    =

    1

    1+

    1+

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    0 L

    1/

    11

    i

    fLS

    fLD

    f

    11 r

    i

    EG

    111

    Figure 36: Equilibrium cross-border lending

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    Capital Flows and Domestic Credit

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    Capital Flows and Domestic Credit

    Market clearing for

    1+1+ 1 1=

    1 1+1+

    Private credit

    = + 1 1+1+

    Total privatecredit =

    Aggregate bank capital (regional + global)

    1 spread regionalleverage

    globalleverage

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    Risk premium in recipient economy

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    Risk premium in recipient economy

    (1 ) (1 + ) 1

    Equilibrium stock of cross-border lending

    =+

    1+1+

    1 1+1+

    Total cross-border lending

    =Global and weighted regional bank capital

    1 spread regionalleverage

    globalleverage

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    Comparative Statics

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    Comparative Statics

    Banking sector capital flows:

    increase with (bank ROE)

    increase with bank leverage (fall with VIX)

    increase in change in bank leverage (fall with VIX)

    fall with interaction between ROE and VIX

    (Explored empirically in Bruno and Shin (2011))

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