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Online Appendix of ”The Importance of Being Special: Repo Markets During the Crisis” * Stefano Corradin European Central Bank Angela Maddaloni European Central Bank October 6, 2019 * Email contacts: [email protected] and [email protected]. This pa- per should be not reported as representing the views of the European Central Bank (ECB), The views expressed herein are those of authors only and do not represent the position of the European Central Bank or the Eurosystem. 1

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  • Online Appendix of”The Importance of Being Special:Repo Markets During the Crisis” ∗

    Stefano CorradinEuropean Central Bank

    Angela MaddaloniEuropean Central Bank

    October 6, 2019

    ∗Email contacts: [email protected] and [email protected]. This pa-per should be not reported as representing the views of the European Central Bank (ECB), The viewsexpressed herein are those of authors only and do not represent the position of the European Central Bankor the Eurosystem.

    1

    [email protected]@ecb.europa.eu

  • Contents

    1 Data and summary evidence 3

    2 Model 4

    2.1 Population measures . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4

    3 Panel regressions 7

    4 Panel VAR 10

    4.1 Alternative ordering: SMP purchase ordered last . . . . . . . . . . . . . . . . 10

    4.2 Without 10−year on-the-run bonds . . . . . . . . . . . . . . . . . . . . . . . 174.3 CCP margin (instead of CDS bond) . . . . . . . . . . . . . . . . . . . . . . . 24

    2

  • 1. Data and summary evidence

    Table 1 Statistics on repo transactions for repo maturity - This table reports theaverage and the standard deviation of the daily distribution of the special repo transactionsfor repo maturity. The statistics are reported for the full sample and for three distinct sub-periods. First period from 1 October 2009 to 7 August 2011. Second period: from 8 August2011 to 21 December 2011. Third period: from 22 December 2011 to 12 July 2012.

    Spot next Tomorrow next Over nightMean St.dev Mean St.dev Mean St.dev

    Full Sample 86.315 3.154 12.047 2.908 1.638 0.8201st period 86.431 3.238 11.868 2.978 1.699 0.8442nd period 84.869 2.425 13.620 2.285 1.509 0.6223rd period 86.962 3.020 11.519 2.694 1.517 0.838

    Table 2 Statistics of GC and Special repo rates - This table reports the average,the standard deviation, the 5th and 95th percentile of the daily distribution of the GC andspecial repo rates. Special and GC repo rates are based on spot next (SN), tomorrow next(TN) and overnight (ON) transactions.The statistics are reported for the full sample andfor three distinct sub-periods. First period from 1 October 2009 to 7 August 2011. Secondperiod: from 8 August 2011 to 21 December 2011. Third period: from 22 December 2011 to12 July 2012 (see Section 3 for details about the variables).

    GC repo rates Special repo ratesMean St.dev 5 Perc. 95 Perc. Mean St.dev 5 Perc. 95 Perc.

    Full Sample 0.618 0.377 0.246 1.590 0.491 0.390 -0.326 1.4091st period 0.593 0.347 0.254 1.622 0.496 0.382 -0.231 1.4622nd period 1.141 0.197 0.765 1.602 0.873 0.331 -0.372 1.3103rd period 0.333 0.096 0.229 0.733 0.212 0.150 -0.396 0.397

    3

  • 2. Model

    2.1. Population measures

    To solve the system, we reduce it to a simpler one in six unknowns. Adding

    Sellers νiµboµli = κµsi + κµsi + λµbiµsi (1)

    Non-searchers λµbiµsi = κµni + κµni (2)

    we find

    νiµboµli + κ̄ (−µni − µsi) + κ (−µni − µsi) = 0. (3)

    Using µsni = µsi + µni we find

    µsni =νiµboµliκ̄+ κ

    . (4)

    Then, equation

    µli + µcbhi

    + µsi = S (5)

    implies

    µli = −µcbhi + S − µsi. (6)

    Plugging equation (6) into

    Borrowers F +2∑

    i=1

    κ(µsi + µni) = κµbo +2∑

    i=1

    νiµboµli (7)

    we find

    F =κµbo

    (−ν1µcbh1 − ν2µ

    cbh2

    + κ̄+ κ+ ν2S − ν2µs2 + ν1S − ν1µs1)

    κ̄+ κ. (8)

    Equation

    Sellers νiµboµli = κµsi + κµsi + λµbiµsi (9)

    implies

    µsi =νiµbo

    (−µcb

    hi+ S − µsi

    )κ̄+ κ+ λµbi

    . (10)

    Equation

    Non-searchers λµbiµsi = κµni + κµni (11)

    implies

    µni =λνiµbiµbo

    (−µcb

    h1+ S − µsi

    )(κ̄+ κ) (κ̄+ κ+ λµbi)

    . (12)

    Equation

    Buyers κµni = κµbi + λµbiµsi (13)

    4

  • implies

    µbi =λνiκµbiµbo

    (−µcb

    hi+ S − µsi

    )(κ̄+ κ) (κ̄+ κ+ λµbi) (κ̄+ λµsi)

    . (14)

    Combining these equations to compute µsi we find

    µsi = −νiµbo

    (−µcb

    hi+ S − µsi

    )κ̄+ κ+ λµbi

    − µcbsi + µsi. (15)

    Using equation

    Sellers κµli + κµsi = λµbiµsi (16)

    we find

    κ̄(−µcb

    hi+ S − µsi

    )+νiκ̄µbo

    (−µcb

    hi+ S − µsi

    )κ̄+ κ+ λµbi

    − λµbi

    (−νiµbo

    (−µcb

    h1+ S − µs1

    )κ̄+ κ+ λµbi

    − µcbsi + µsi

    )= 0

    and we solve for µbo

    µbo = −(κ̄+ κ+ λµbi)

    (λµbiµ

    cbsi − κ̄µhi + Sκ̄− κ̄µsi − λµbiµsi

    )νi (κ̄+ λµbi)

    (−µcb

    hi+ S − µsi

    ) . (17)Simplifying equation (15) we find

    µsi =κ̄(−µcb

    hi− µcbsi + S

    )κ̄+ λµbi

    . (18)

    Equation

    Central bank seller κcbµhi = λµbiµcbsi (19)

    implies

    µcbsi =κcbµhiλµbi

    . (20)

    Using equation (9) to compute µbo we find

    µbo =F (κ̄+ κ)

    κ (−νiµhi − ν2µh2 + κ̄+ κ+ ν2S − ν2µs2 + ν1S − ν1µs1). (21)

    We use

    Buyers F = κµb +2∑

    i=1

    λµsiµb (22)

    to compute µb using µsi = µsi + µcbsi + µsi and equations (18), (20) and (10).

    5

  • We use

    Central bank buyer Fcb

    = κcbµcbb

    +2∑

    i=1

    λµsiµcbb

    (23)

    to compute µcbb

    using µsi = µsi + µcbsi + µsi and equations (18), (20) and (10).

    The reduced system consists of

    µsi = µsi + µcbsi + µsi

    µbi = µbi + µcbbi

    + µbi

    λµsiµcbb

    = κcbµcbhi,

    where the latter equation corresponds to the central bank holder transition equation. These

    are six equations (because one is for each asset), and the six unknowns are{µsi, µbi, µ

    cbhi

    }i∈{1,2}.

    The system is numerically solved using Mathematica.

    6

  • 3. Panel regressions

    Table 3 Panel Stationary Test - This table reports the results of the Fisher stationarytest whose null hypothesis is that all the panels contain a unit root for the SMP purchase,repo imbalance, specialness, cash imbalance, bid-ask spread, available for lending variablesand CDS bond (log) over the sample 8 August 2011 - 21 December 2011.

    SMP purchase Repo imbalance SpecialnessStatistic P-value Statistic P-value Statistic P-value

    Inverse chi-squared 393.26 0.00 305.43 0.00 187.92 0.00Inverse normal -15.36 0.00 -13.01 0.00 -8.30 0.00Inverse logit t -19.43 0.00 -15.02 0.00 -8.74 0.00Modified inv. chi-squared 29.74 0.00 21.86 0.00 11.30 0.00

    Cash imbalance Bid-ask spread LendingStatistic P-value Statistic P-value Statistic P-value

    Inverse chi-squared 70.26 0.00 300.23 0.00 305.89 0.00Inverse normal -4.42 0.00 -13.07 0.00 -12.77 0.00Inverse logit t -4.83 0.00 -15.07 0.00 -15.05 0.00Modified inv. chi-squared 6.67 0.00 21.93 0.00 21.90 0.00

    CDS bond (log)Statistic P-value

    Inverse chi-squared 136.140 0.00Inverse normal -6.23 0.00Inverse logit t -6.15 0.00Modified inv. chi-squared 6.65 0.00

    7

  • Tab

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    8

  • Table 5 Specialness and SMP purchases with CCP margin instead of CDS bond- The table shows the results of OLS (Columns (1)− (2)) and quantile (Columns (3)− (4))panel regressions with bond fixed effects. Specialness is expressed in basis points and is basedon spot next (SN) and tomorrow next (TN) transactions. The repo imbalance is based onspot next (SN) and tomorrow next (TN) transactions. The repo imbalance, cash imbalance,available for lending and SMP purchase variables are rescaled by the nominal outstandingamount of the bond, expressed in percentage terms and are lagged by one day (see Section3.1 for details). Bond time-to-maturity denotes the time-to-maturity of a specific security.Bid-ask spread denotes the bid-ask spread based on BGN Bloomberg prices at or before5pm. D. Auction is a dummy variable to control for the date of a primary issuance of thesecurity. CCP margins variable is bond-specific and lagged by one day. In Column (2) theobservations on the 10− year on-the-run bonds are excluded from the sample. Standarderrors are in parenthesis and are clustered by bond identifier (Columns (1) − (2))). Theresults are reported for the sub-period 8 August 2011 - 21 December 2011. Stars denotestatistical significance at 10% (∗), 5% (∗∗) and 1% (∗ ∗ ∗).

    (1) (2) (3) (4)OLS OLS Q-70 Q-90

    Specialness (lag) 0.802*** 0.800***(0.090) (0.099)

    Repo imbalance 1.133** 0.569 0.954*** 4.007***(0.525) (0.347) (0.257) (0.688)

    Cash imbalance -1.986*** -1.336*** -2.671*** -5.034*(0.738) (0.472) (1.004) (2.685)

    Avail. lending -0.466** -0.477** -1.790*** -3.088***(0.202) (0.207) (0.185) (0.495)

    Bond time-to-mat. -0.082 -0.077 -0.351*** 0.068(0.065) (0.067) (0.092) (0.246)

    D. Auction -8.785*** -7.815*** -8.536 -18.271(2.677) (2.865) (6.724) (17.986)

    Bid-ask spread -0.005 -0.009 -0.017 -0.136(0.024) (0.023) (0.107) (0.286)

    CCP margin 45.536** 43.956** 203.309*** 173.414***(18.173) (18.953) (17.850) (47.743)

    SMP purchase 4.614*** 5.169*** 5.060*** 15.610***(0.803) (1.576) (1.428) (3.819)

    Constant 5.890** 5.869** 29.795*** 58.995***(2.645) (2.807) (1.091) (2.918)

    R2 0.745 0.739Num. Obs. 4830 4742 4830 4830

    9

  • 4. Panel VAR

    4.1. Alternative ordering: SMP purchase ordered last

    Panel A - CDS bond

    −.0

    3−

    .02

    −.0

    10

    .01

    Per

    cent

    age

    poin

    ts

    0 5 10 15Day

    CDS bond −> Cash imbalance

    0.0

    2.0

    4.0

    6.0

    8P

    erce

    ntag

    e po

    ints

    0 5 10 15Day

    CDS bond −> Bid−ask spread

    .02

    .04

    .06

    .08

    .1.1

    2P

    erce

    ntag

    e po

    ints

    0 5 10 15Day

    CDS bond −> SMP purchase

    −.1

    0.1

    .2P

    erce

    ntag

    e po

    ints

    0 5 10 15Day

    CDS bond −> Repo imbalance

    −2

    −1

    01

    2P

    erce

    ntag

    e po

    ints

    0 5 10 15Day

    CDS bond −> Specialness

    −.0

    2−

    .01

    0.0

    1P

    erce

    ntag

    e po

    ints

    0 5 10 15Day

    CDS bond −> Sec. lending

    Fig. 1. Panel VAR Cumulative IRFs - CDS bond The figure plots the cumulativeimpulse response functions to a CDS bond shock of 1% and 90% bootstrapped confidenceintervals (grey dashed lines) based on 1, 000 replications. The cumulative impulse responsefunctions are estimated from a panel VAR model in first-difference including the followingvariables: CDS bond, cash imbalance, bid-ask spread, SMP purchase, repo imbalance, spe-cialness and available for lending of the bonds purchased under the SMP from 8 August 2011to 21 December 2011.

    10

  • Panel B - Cash imbalance−

    10

    12

    Bas

    is p

    oint

    s

    0 5 10 15Day

    Cash imbalance −> CDS bond

    −.0

    2−

    .01

    0.0

    1.0

    2P

    erce

    ntag

    e po

    ints

    0 5 10 15Day

    Cash imbalance −> Bid ask spread−

    .08

    −.0

    6−

    .04

    −.0

    20

    .02

    Per

    cent

    age

    poin

    ts

    0 5 10 15Day

    Cash imbalance −> SMP purchase

    −.6

    −.4

    −.2

    Per

    cent

    age

    poin

    ts

    0 5 10 15Day

    Cash imbalance −> Repo imbalance

    −4

    −2

    02

    Per

    cent

    age

    poin

    ts

    0 5 10 15Day

    Cash imbalance −> Specialness

    0.0

    1.0

    2.0

    3.0

    4P

    erce

    ntag

    e po

    ints

    0 5 10 15Day

    Cash imbalance −> Sec. lending

    Fig. 2. Panel VAR Cumulative IRFs - Cash imbalance The figure plots the cumu-lative impulse response functions to a cash imbalance shock of 1% and 90% bootstrappedconfidence intervals (grey dashed lines) based on 1, 000 replications. The cumulative impulseresponse functions are estimated from a panel VAR model in first-difference including thefollowing variables: CDS bond, cash imbalance, bid-ask spread, SMP purchase, repo imbal-ance, specialness and available for lending of the bonds purchased under the SMP from 8August 2011 to 21 December 2011.

    11

  • Panel C - Bid-ask spread−

    10

    12

    3B

    asis

    poi

    nts

    0 5 10 15Day

    Bid−ask spread −> CDS bond

    −.0

    050

    .005

    .01

    .015

    Per

    cent

    age

    poin

    ts

    0 5 10 15Day

    Bid−ask spread −> Cash imbalance0

    .02

    .04

    .06

    .08

    Per

    cent

    age

    poin

    ts

    0 5 10 15Day

    Bid−ask spread −> SMP purchase

    −.1

    −.0

    50

    .05

    .1P

    erce

    ntag

    e po

    ints

    0 5 10 15Day

    Bid−ask spread −> Repo imbalance

    −2

    −1

    01

    Per

    cent

    age

    poin

    ts

    0 5 10 15Day

    Bid−ask spread −> Specialness

    −.0

    15−

    .01

    −.0

    050

    .005

    .01

    Per

    cent

    age

    poin

    ts

    0 5 10 15Day

    Bid−ask spread −> Sec. lending

    Fig. 3. Panel VAR Cumulative IRFs - Bid-ask spread The figure plots the cumu-lative impulse response functions to a bid-ask spread shock of 1% and 90% bootstrappedconfidence intervals (grey dashed lines) based on 1, 000 replications. The cumulative impulseresponse functions are estimated from a panel VAR model in first-difference including thefollowing variables: CDS bond, cash imbalance, bid-ask spread, SMP purchase, repo imbal-ance, specialness and available for lending of the bonds purchased under the SMP from 8August 2011 to 21 December 2011.

    12

  • Panel D - SMP purchase−

    10

    12

    3B

    asis

    poi

    nts

    0 5 10 15Day

    SMP purchase −> CDS bond

    −.0

    2−

    .015

    −.0

    1−

    .005

    0.0

    05P

    erge

    ntag

    e po

    ints

    0 5 10 15day

    SMP purchase −> Cash imbalance−

    .02

    −.0

    15−

    .01

    −.0

    050

    .005

    Per

    cent

    age

    poin

    ts

    0 5 10 15Day

    SMP purchase −> Bid−ask spread

    −.1

    0.1

    .2.3

    Per

    cent

    age

    poin

    ts

    0 5 10 15Day

    SMP purchase −> Repo imbalance

    01

    23

    45

    Per

    cent

    age

    poin

    ts

    0 5 10 15Day

    SMP purchase −> Specialness

    −.0

    4−

    .03

    −.0

    2−

    .01

    0P

    erce

    ntag

    e po

    ints

    0 5 10 15Day

    SMP purchase −> Sec. lending

    Fig. 4. Panel VAR Cumulative IRFs - SMP purchase The figure plots the cumulativeimpulse response functions to a SMP purchase shock of 1% and 90% bootstrapped confidenceintervals (grey dashed lines) based on 1, 000 replications. The cumulative impulse responsefunctions are estimated from a panel VAR model in first-difference including the followingvariables: CDS bond, cash imbalance, bid-ask spread, SMP purchase, repo imbalance, spe-cialness and available for lending of the bonds purchased under the SMP from 8 August 2011to 21 December 2011.

    13

  • Panel E - Repo imbalance−

    3−

    2−

    10

    1B

    asis

    poi

    nts

    0 5 10 15Day

    Repo imbalance −> CDS bond

    −.0

    4−

    .02

    0.0

    2.0

    4.0

    6P

    erce

    ntag

    e po

    ints

    0 5 10 15Day

    Repo imbalance −> Cash imbalance−

    .005

    0.0

    05.0

    1.0

    15.0

    2P

    erce

    ntag

    e po

    ints

    0 5 10 15Day

    Repo imbalance −> Bid−ask spread

    −.0

    8−

    .06

    −.0

    4−

    .02

    0.0

    2P

    erce

    ntag

    e po

    ints

    0 5 10 15Day

    Repo imbalance −> SMP purchase

    24

    68

    Per

    cent

    age

    poin

    ts

    0 5 10 15Day

    Repo imbalance −> Specialness

    −.0

    10

    .01

    .02

    .03

    Per

    cent

    age

    poin

    ts

    0 5 10 15Day

    Repo imbalance −> Sec. lending

    Fig. 5. Panel VAR Cumulative IRFs - Repo imbalance The figure plots the cumu-lative impulse response functions to a repo imbalance shock of 1% and 90% bootstrappedconfidence intervals (grey dashed lines) based on 1, 000 replications. The cumulative impulseresponse functions are estimated from a panel VAR model in first-difference including thefollowing variables: CDS bond, cash imbalance, bid-ask spread, SMP purchase, repo imbal-ance, specialness and available for lending of the bonds purchased under the SMP from 8August 2011 to 21 December 2011.

    14

  • Panel F - Specialness0

    12

    34

    Bas

    is p

    oint

    s

    0 5 10 15Day

    Specialness −> CDS bond

    0.0

    2.0

    4.0

    6.0

    8P

    erce

    ntag

    e po

    ints

    0 5 10 15Day

    Specialness −> Cash imbalance−

    .02

    −.0

    10

    .01

    .02

    Per

    cent

    age

    poin

    ts

    0 5 10 15Day

    Specialness −> Bid−ask spread

    −.0

    4−

    .02

    0.0

    2.0

    4.0

    6P

    erce

    ntag

    e po

    ints

    0 5 10 15Day

    Specialness −> SMP purchase

    −.3

    −.2

    −.1

    0.1

    Per

    cent

    age

    poin

    ts

    0 5 10 15Day

    Specialness −> Repo imbalance

    −.0

    3−

    .02

    −.0

    10

    .01

    Per

    cent

    age

    poin

    ts

    0 5 10 15Day

    Specialness −> Sec. lending

    Fig. 6. Panel VAR Cumulative IRFs - Specialness The figure plots the cumulativeimpulse response functions to a specialness shock of 1% and 90% bootstrapped confidenceintervals (grey dashed lines) based on 1, 000 replications. The cumulative impulse responsefunctions are estimated from a panel VAR model in first-difference including the followingvariables: CDS bond, cash imbalance, bid-ask spread, SMP purchase, repo imbalance, spe-cialness and available for lending of the bonds purchased under the SMP from 8 August 2011to 21 December 2011.

    15

  • Panel G - Available lending−

    2−

    10

    1B

    asis

    poi

    nts

    0 5 10 15Day

    Sec. lending −> CDS bond

    −.0

    4−

    .03

    −.0

    2−

    .01

    0.0

    1P

    erce

    ntag

    e po

    ints

    0 5 10 15Day

    Sec. lending −> Cash imbalance−

    .01

    0.0

    1.0

    2.0

    3P

    erce

    ntag

    e po

    ints

    0 5 10 15Day

    Sec. lending −> Bid−ask spread

    −.0

    8−

    .06

    −.0

    4−

    .02

    0.0

    2P

    erce

    ntag

    e po

    ints

    0 5 10 15Day

    Sec. lending −> SMP purchase

    −.1

    0.1

    .2.3

    Per

    cent

    age

    poin

    ts

    0 5 10 15Day

    Sec. lending −> Repo imbalance

    01

    23

    Per

    gent

    age

    poin

    ts

    0 5 10 15day

    Sec. lending −> Specialness

    Fig. 7. Panel VAR Cumulative IRFs - Available lending The figure plots the cumula-tive impulse response functions to a available for lending shock of 1% and 90% bootstrappedconfidence intervals (grey dashed lines) based on 1, 000 replications. The cumulative impulseresponse functions are estimated from a panel VAR model in first-difference including thefollowing variables: CDS bond, cash imbalance, bid-ask spread, SMP purchase, repo imbal-ance, specialness and available for lending of the bonds purchased under the SMP from 8August 2011 to 21 December 2011.

    16

  • 4.2. Without 10-year on-the-run bonds

    Panel A - CDS bond

    −.0

    2−

    .01

    0.0

    1P

    erce

    ntag

    e po

    ints

    0 5 10 15Day

    CDS bond −> Cash imbalance

    0.0

    2.0

    4.0

    6.0

    8P

    erce

    ntag

    e po

    ints

    0 5 10 15Day

    CDS bond −> Bid−ask spread

    .02

    .04

    .06

    .08

    .1P

    erce

    ntag

    e po

    ints

    0 5 10 15Day

    CDS bond −> SMP purchase

    −.0

    50

    .05

    .1.1

    5P

    erce

    ntag

    e po

    ints

    0 5 10 15Day

    CDS bond −> Repo imbalance

    −1

    01

    2P

    erce

    ntag

    e po

    ints

    0 5 10 15Day

    CDS bond −> Specialness

    −.0

    2−

    .01

    0.0

    1P

    erce

    ntag

    e po

    ints

    0 5 10 15Day

    CDS bond −> Sec. lending

    Fig. 8. Panel VAR Cumulative IRFs - CDS bond The figure plots the cumulativeimpulse response functions to a CDS bond shock of 1% and 90% bootstrapped confidenceintervals (grey dashed lines) based on 1, 000 replications. The cumulative impulse responsefunctions are estimated from a panel VAR model in first-difference including the followingvariables: CDS bond, cash imbalance, bid-ask spread, SMP purchase, repo imbalance, spe-cialness and available for lending of the bonds purchased under the SMP from 8 August 2011to 21 December 2011.

    17

  • Panel B - Cash imbalance−

    .50

    .51

    1.5

    2B

    asis

    poi

    nts

    0 5 10 15Day

    Cash imbalance −> CDS bond

    −.0

    10

    .01

    .02

    .03

    Per

    cent

    age

    poin

    ts

    0 5 10 15Day

    Cash imbalance −> Bid ask spread−

    .02

    0.0

    2.0

    4P

    erce

    ntag

    e po

    ints

    0 5 10 15Day

    Cash imbalance −> SMP purchase

    −.1

    −.0

    50

    .05

    .1P

    erce

    ntag

    e po

    ints

    0 5 10 15Day

    Cash imbalance −> Repo imbalance

    −1.

    5−

    1−

    .50

    .5P

    erce

    ntag

    e po

    ints

    0 5 10 15Day

    Cash imbalance −> Specialness

    −.0

    2−

    .01

    0.0

    1.0

    2P

    erce

    ntag

    e po

    ints

    0 5 10 15Day

    Cash imbalance −> Sec. lending

    Fig. 9. Panel VAR Cumulative IRFs - Cash imbalance The figure plots the cumu-lative impulse response functions to a cash imbalance shock of 1% and 90% bootstrappedconfidence intervals (grey dashed lines) based on 1, 000 replications. The cumulative impulseresponse functions are estimated from a panel VAR model in first-difference including thefollowing variables: CDS bond, cash imbalance, bid-ask spread, SMP purchase, repo imbal-ance, specialness and available for lending of the bonds purchased under the SMP from 8August 2011 to 21 December 2011.

    18

  • Panel C - Bid-ask spread0

    12

    3B

    asis

    poi

    nts

    0 5 10 15Day

    Bid−ask spread −> CDS bond

    −.0

    050

    .005

    .01

    Per

    cent

    age

    poin

    ts

    0 5 10 15Day

    Bid−ask spread −> Cash imbalance0

    .02

    .04

    .06

    Per

    cent

    age

    poin

    ts

    0 5 10 15Day

    Bid−ask spread −> SMP purchase

    −.0

    50

    .05

    .1P

    erce

    ntag

    e po

    ints

    0 5 10 15Day

    Bid−ask spread −> Repo imbalance

    −2

    −1

    01

    Per

    cent

    age

    poin

    ts

    0 5 10 15Day

    Bid−ask spread −> Specialness

    −.0

    2−

    .01

    0.0

    1P

    erce

    ntag

    e po

    ints

    0 5 10 15Day

    Bid−ask spread −> Sec. lending

    Fig. 10. Panel VAR Cumulative IRFs - Bid-ask spread The figure plots the cumu-lative impulse response functions to a bid-ask spread shock of 1% and 90% bootstrappedconfidence intervals (grey dashed lines) based on 1, 000 replications. The cumulative impulseresponse functions are estimated from a panel VAR model in first-difference including thefollowing variables: CDS bond, cash imbalance, bid-ask spread, SMP purchase, repo imbal-ance, specialness and available for lending of the bonds purchased under the SMP from 8August 2011 to 21 December 2011.

    19

  • Panel D - SMP purchase−

    10

    12

    34

    Bas

    is p

    oint

    s

    0 5 10 15Day

    SMP purchase −> CDS bond

    −.0

    1−

    .005

    0.0

    05.0

    1P

    erge

    ntag

    e po

    ints

    0 5 10 15day

    SMP purchase −> Cash imbalance−

    .03

    −.0

    2−

    .01

    0.0

    1P

    erce

    ntag

    e po

    ints

    0 5 10 15Day

    SMP purchase −> Bid−ask spread

    −.0

    50

    .05

    .1.1

    5P

    erce

    ntag

    e po

    ints

    0 5 10 15Day

    SMP purchase −> Repo imbalance

    02

    46

    Per

    cent

    age

    poin

    ts

    0 5 10 15Day

    SMP purchase −> Specialness

    −.0

    4−

    .03

    −.0

    2−

    .01

    0.0

    1P

    erce

    ntag

    e po

    ints

    0 5 10 15Day

    SMP purchase −> Sec. lending

    Fig. 11. Panel VAR Cumulative IRFs - SMP purchase The figure plots the cumu-lative impulse response functions to a SMP purchase shock of 1% and 90% bootstrappedconfidence intervals (grey dashed lines) based on 1, 000 replications. The cumulative impulseresponse functions are estimated from a panel VAR model in first-difference including thefollowing variables: CDS bond, cash imbalance, bid-ask spread, SMP purchase, repo imbal-ance, specialness and available for lending of the bonds purchased under the SMP from 8August 2011 to 21 December 2011.

    20

  • Panel E - Repo imbalance−

    3−

    2−

    10

    1B

    asis

    poi

    nts

    0 5 10 15Day

    Repo imbalance −> CDS bond

    −.0

    1−

    .005

    0.0

    05P

    erce

    ntag

    e po

    ints

    0 5 10 15Day

    Repo imbalance −> Cash imbalance−

    .01

    0.0

    1.0

    2.0

    3P

    erce

    ntag

    e po

    ints

    0 5 10 15Day

    Repo imbalance −> Bid−ask spread

    −.0

    3−

    .02

    −.0

    10

    .01

    Per

    cent

    age

    poin

    ts

    0 5 10 15Day

    Repo imbalance −> SMP purchase

    12

    34

    5P

    erce

    ntag

    e po

    ints

    0 5 10 15Day

    Repo imbalance −> Specialness

    0.0

    05.0

    1.0

    15.0

    2.0

    25P

    erce

    ntag

    e po

    ints

    0 5 10 15Day

    Repo imbalance −> Sec. lending

    Fig. 12. Panel VAR Cumulative IRFs - Repo imbalance The figure plots the cumu-lative impulse response functions to a repo imbalance shock of 1% and 90% bootstrappedconfidence intervals (grey dashed lines) based on 1, 000 replications. The cumulative impulseresponse functions are estimated from a panel VAR model in first-difference including thefollowing variables: CDS bond, cash imbalance, bid-ask spread, SMP purchase, repo imbal-ance, specialness and available for lending of the bonds purchased under the SMP from 8August 2011 to 21 December 2011.

    21

  • Panel F - Specialness0

    12

    34

    5P

    erce

    ntag

    e po

    ints

    0 5 10 15Day

    Specialness −> CDS bond

    −.0

    050

    .005

    .01

    Per

    cent

    age

    poin

    ts

    0 5 10 15Day

    Specialness −> Cash imbalance−

    .02

    −.0

    10

    .01

    .02

    .03

    Per

    cent

    age

    poin

    ts

    0 5 10 15Day

    Specialness −> Bid−ask spread

    −.0

    20

    .02

    .04

    .06

    Per

    cent

    age

    poin

    ts

    0 5 10 15Day

    Specialness −> SMP purchase

    −.1

    5−

    .1−

    .05

    0.0

    5P

    erce

    ntag

    e po

    ints

    0 5 10 15Day

    Specialness −> Repo imbalance

    −.0

    3−

    .02

    −.0

    10

    .01

    Per

    cent

    age

    poin

    ts

    0 5 10 15Day

    Specialness −> Sec. lending

    Fig. 13. Panel VAR Cumulative IRFs - Specialness The figure plots the cumulativeimpulse response functions to a specialness shock of 1% and 90% bootstrapped confidenceintervals (grey dashed lines) based on 1, 000 replications. The cumulative impulse responsefunctions are estimated from a panel VAR model in first-difference including the followingvariables: CDS bond, cash imbalance, bid-ask spread, SMP purchase, repo imbalance, spe-cialness and available for lending of the bonds purchased under the SMP from 8 August 2011to 21 December 2011.

    22

  • Panel G - Available lending−

    3−

    2−

    10

    1P

    erce

    ntag

    e po

    ints

    0 5 10 15Day

    Sec. lending −> CDS bond

    0.0

    02.0

    04.0

    06.0

    08.0

    1P

    erce

    ntag

    e po

    ints

    0 5 10 15Day

    Sec. lending −> Cash imbalance−

    .01

    0.0

    1.0

    2.0

    3P

    erce

    ntag

    e po

    ints

    0 5 10 15Day

    Sec. lending −> Bid−ask spread

    −.0

    8−

    .06

    −.0

    4−

    .02

    0P

    erce

    ntag

    e po

    ints

    0 5 10 15Day

    Sec. lending −> SMP purchase

    −.1

    −.0

    50

    .05

    Per

    cent

    age

    poin

    ts

    0 5 10 15Day

    Sec. lending −> Repo imbalance

    0.5

    11.

    52

    Per

    gent

    age

    poin

    ts

    0 5 10 15day

    Sec. lending −> Specialness

    Fig. 14. Panel VAR Cumulative IRFs - Available lending The figure plots the cumula-tive impulse response functions to a available for lending shock of 1% and 90% bootstrappedconfidence intervals (grey dashed lines) based on 1, 000 replications. The cumulative impulseresponse functions are estimated from a panel VAR model in first-difference including thefollowing variables: CDS bond, cash imbalance, bid-ask spread, SMP purchase, repo imbal-ance, specialness and available for lending of the bonds purchased under the SMP from 8August 2011 to 21 December 2011.

    23

  • 4.3. CCP margin (instead of CDS bond)

    Panel A - CCP margin

    −.0

    050

    .005

    .01

    .015

    Per

    gent

    age

    poin

    ts

    0 5 10 15day

    CCP margins −> Cash Imbalance

    −.0

    6−

    .04

    −.0

    20

    .02

    Per

    gent

    age

    poin

    ts

    0 5 10 15day

    CCP margins −> Bid−ask spread

    −.0

    4−

    .02

    0.0

    2.0

    4P

    erge

    ntag

    e po

    ints

    0 5 10 15day

    CCP margins −> SMP purchase

    −.1

    5−

    .1−

    .05

    0.0

    5P

    erge

    ntag

    e po

    ints

    0 5 10 15day

    CCP margins −> Repo imbalance

    −1

    01

    2P

    erge

    ntag

    e po

    ints

    0 5 10 15day

    CCP margins −> Specialness

    −.0

    2−

    .01

    0.0

    1P

    erge

    ntag

    e po

    ints

    0 5 10 15day

    CCP margins −> Sec. lending

    Fig. 15. Panel VAR Cumulative IRFs - CCP margin The figure plots the cumulativeimpulse response functions to a CCP margin shock of 1% and 90% bootstrapped confidenceintervals (grey dashed lines) based on 1, 000 replications. The cumulative impulse responsefunctions are estimated from a panel VAR model in first-difference including the followingvariables: CCP bond, cash imbalance, bid-ask spread, SMP purchase, repo imbalance, spe-cialness and available for lending of the bonds purchased under the SMP from 8 August 2011to 21 December 2011.

    24

  • Panel B - Cash imbalance−

    .000

    4−

    .000

    3−

    .000

    2−

    .000

    10

    .000

    1P

    erge

    ntag

    e po

    ints

    0 5 10 15day

    Cash Imbalance −> CCP margins

    −.0

    2−

    .01

    0.0

    1.0

    2P

    erge

    ntag

    e po

    ints

    0 5 10 15day

    Cash Imbalance −> Bid ask spread−

    .08

    −.0

    6−

    .04

    −.0

    20

    .02

    Per

    gent

    age

    poin

    ts

    0 5 10 15day

    Cash imbalance −> SMP purchase

    −.6

    −.4

    −.2

    0P

    erge

    ntag

    e po

    ints

    0 5 10 15day

    Cash imbalance −> Repo imbalance

    −4

    −2

    02

    Per

    gent

    age

    poin

    ts

    0 5 10 15day

    Cash imbalance −> Specialness

    0.0

    1.0

    2.0

    3.0

    4P

    erge

    ntag

    e po

    ints

    0 5 10 15day

    Cash imbalance −> Sec. lending

    Fig. 16. Panel VAR Cumulative IRFs - Cash imbalance The figure plots the cumu-lative impulse response functions to a cash imbalance shock of 1% and 90% bootstrappedconfidence intervals (grey dashed lines) based on 1, 000 replications. The cumulative impulseresponse functions are estimated from a panel VAR model in first-difference including thefollowing variables: CCP margin, cash imbalance, bid-ask spread, SMP purchase, repo im-balance, specialness and available for lending of the bonds purchased under the SMP from8 August 2011 to 21 December 2011.

    25

  • Panel C - Bid-ask spread−

    .000

    20

    .000

    2.0

    004

    .000

    6P

    erge

    ntag

    e po

    ints

    0 5 10 15day

    Bid−ask spread −> CCP margins

    −.0

    1−

    .005

    0.0

    05.0

    1P

    erge

    ntag

    e po

    ints

    0 5 10 15day

    Bid−ask spread −> Cash imbalance0

    .02

    .04

    .06

    .08

    Per

    gent

    age

    poin

    ts

    0 5 10 15day

    Bid−ask spread −> SMP purchase

    −.0

    50

    .05

    .1P

    erge

    ntag

    e po

    ints

    0 5 10 15day

    Bid−ask spread −> Repo imbalance

    −2

    −1

    01

    Per

    gent

    age

    poin

    ts

    0 5 10 15day

    Bid−ask spread −> Specialness

    −.0

    15−

    .01

    −.0

    050

    .005

    .01

    Per

    gent

    age

    poin

    ts

    0 5 10 15day

    Bid−ask spread −> Sec. lending

    Fig. 17. Panel VAR Cumulative IRFs - Bid-ask spread The figure plots the cumulativeimpulse response functions to a bid-ask spread shock of 1% and 90% bootstrapped confidenceintervals (grey dashed lines) based on 1, 000 replications. The cumulative impulse responsefunctions are estimated from a panel VAR model in first-difference including the followingvariables: CCP margin, cash imbalance, bid-ask spread, SMP purchase, repo imbalance,specialness and available for lending of the bonds purchased under the SMP from 8 August2011 to 21 December 2011.

    26

  • Panel D - SMP purchase−

    .000

    10

    .000

    1.0

    002

    .000

    3.0

    004

    Per

    gent

    age

    poin

    ts

    0 5 10 15day

    SMP purchase −> CCP margins

    −.0

    25−

    .02

    −.0

    15−

    .01

    −.0

    050

    Per

    gent

    age

    poin

    ts

    0 5 10 15day

    SMP purchase −> Cash imbalance−

    .02

    −.0

    10

    .01

    Per

    gent

    age

    poin

    ts

    0 5 10 15day

    SMP purchase −> Bid−ask spread

    −.1

    0.1

    .2.3

    Per

    gent

    age

    poin

    ts

    0 5 10 15day

    SMP purchase −> Repo imbalance

    02

    46

    Per

    gent

    age

    poin

    ts

    0 5 10 15day

    SMP purchase −> Specialness

    −.0

    4−

    .03

    −.0

    2−

    .01

    0.0

    1P

    erge

    ntag

    e po

    ints

    0 5 10 15day

    SMP purchase −> Sec. lending

    Fig. 18. Panel VAR Cumulative IRFs - SMP purchase The figure plots the cumulativeimpulse response functions to a SMP purchase shock of 1% and 90% bootstrapped confidenceintervals (grey dashed lines) based on 1, 000 replications. The cumulative impulse responsefunctions are estimated from a panel VAR model in first-difference including the followingvariables: CCP margin, cash imbalance, bid-ask spread, SMP purchase, repo imbalance,specialness and available for lending of the bonds purchased under the SMP from 8 August2011 to 21 December 2011.

    27

  • Panel E - Repo imbalance−

    .000

    4−

    .000

    3−

    .000

    2−

    .000

    10

    .000

    1P

    erge

    ntag

    e po

    ints

    0 5 10 15day

    Repo imbalance −> CCP margins

    −.0

    4−

    .02

    0.0

    2.0

    4.0

    6P

    erge

    ntag

    e po

    ints

    0 5 10 15day

    Repo imbalance −> Cash imbalance−

    .005

    0.0

    05.0

    1.0

    15.0

    2P

    erge

    ntag

    e po

    ints

    0 5 10 15day

    Repo imbalance −> Bid−ask spread

    −.0

    4−

    .02

    0.0

    2.0

    4P

    erge

    ntag

    e po

    ints

    0 5 10 15day

    Repo imbalance −> SMP purchase

    24

    68

    Per

    gent

    age

    poin

    ts

    0 5 10 15day

    Repo imbalance −> Specialness

    −.0

    10

    .01

    .02

    .03

    Per

    gent

    age

    poin

    ts

    0 5 10 15day

    Repo imbalance −> Sec. lending

    Fig. 19. Panel VAR Cumulative IRFs - Repo imbalance The figure plots the cumu-lative impulse response functions to a repo imbalance shock of 1% and 90% bootstrappedconfidence intervals (grey dashed lines) based on 1, 000 replications. The cumulative impulseresponse functions are estimated from a panel VAR model in first-difference including thefollowing variables: CCP margin, cash imbalance, bid-ask spread, SMP purchase, repo im-balance, specialness and available for lending of the bonds purchased under the SMP from8 August 2011 to 21 December 2011.

    28

  • Panel F - Specialness−

    .000

    8−

    .000

    6−

    .000

    4−

    .000

    20

    Per

    gent

    age

    poin

    ts

    0 5 10 15day

    Specialness −> CCP margins

    0.0

    2.0

    4.0

    6.0

    8P

    erge

    ntag

    e po

    ints

    0 5 10 15day

    Specialness −> Cash imbalance−

    .01

    0.0

    1.0

    2.0

    3P

    erge

    ntag

    e po

    ints

    0 5 10 15day

    Specialness −> Bid−ask spread

    −.0

    4−

    .02

    0.0

    2.0

    4P

    erge

    ntag

    e po

    ints

    0 5 10 15day

    Specialness −> SMP purchase

    −.4

    −.2

    0.2

    Per

    gent

    age

    poin

    ts

    0 5 10 15day

    Specialness −> Repo imbalance

    −.0

    3−

    .02

    −.0

    10

    .01

    Per

    gent

    age

    poin

    ts

    0 5 10 15day

    Specialness −> Sec. lending

    Fig. 20. Panel VAR Cumulative IRFs - Specialness The figure plots the cumulativeimpulse response functions to a specialness shock of 1% and 90% bootstrapped confidenceintervals (grey dashed lines) based on 1, 000 replications. The cumulative impulse responsefunctions are estimated from a panel VAR model in first-difference including the followingvariables: CCP margin, cash imbalance, bid-ask spread, SMP purchase, repo imbalance,specialness and available for lending of the bonds purchased under the SMP from 8 August2011 to 21 December 2011.

    29

  • Panel G - Available lending−

    .000

    20

    .000

    2.0

    004

    .000

    6P

    erge

    ntag

    e po

    ints

    0 5 10 15day

    Sec. lending −> CCP margins

    −.0

    4−

    .03

    −.0

    2−

    .01

    0.0

    1P

    erge

    ntag

    e po

    ints

    0 5 10 15day

    Sec. lending −> Cash imbalance−

    .01

    0.0

    1.0

    2P

    erge

    ntag

    e po

    ints

    0 5 10 15day

    Sec. lending −> Bid−ask spread

    −.0

    8−

    .06

    −.0

    4−

    .02

    0P

    erge

    ntag

    e po

    ints

    0 5 10 15day

    Sec. lending −> SMP purchase

    −.1

    0.1

    .2.3

    Per

    gent

    age

    poin

    ts

    0 5 10 15day

    Sec. lending −> Repo imbalance

    01

    23

    Per

    gent

    age

    poin

    ts

    0 5 10 15day

    Sec. lending −> Specialness

    Fig. 21. Panel VAR Cumulative IRFs - Available lending The figure plots the cumula-tive impulse response functions to a available for lending shock of 1% and 90% bootstrappedconfidence intervals (grey dashed lines) based on 1, 000 replications. The cumulative impulseresponse functions are estimated from a panel VAR model in first-difference including thefollowing variables: CCP margin, cash imbalance, bid-ask spread, SMP purchase, repo im-balance, specialness and available for lending of the bonds purchased under the SMP from8 August 2011 to 21 December 2011.

    30

    Data and summary evidenceModelPopulation measures

    Panel regressionsPanel VARAlternative ordering: SMP purchase ordered lastWithout 10-year on-the-run bondsCCP margin (instead of CDS bond)