CONTINGENT CONVERTIBLES' - THE WORLD OF COCOS JAN DE SPIEGELEER & WIM SCHOUTENS - REACFIN

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CONTINGENT CONVERTIBLES' - THE WORLD OF COCOS JAN DE SPIEGELEER & WIM SCHOUTENS - REACFIN
February 2014

 'Contingent Convertibles'

     The World of CoCos

Jan De Spiegeleer & Wim Schoutens
          February 2014

        Reacfin's 10th anniversary event
CONTINGENT CONVERTIBLES' - THE WORLD OF COCOS JAN DE SPIEGELEER & WIM SCHOUTENS - REACFIN
Outline                                                                   2

          Introduction (Wim)           Quantitative Side of CoCos (Wim)
          n   Contingent Capital      n   Anatomy of CoCos
          n   The life of a CoCo      n   Modelling CoCos
          n   Pro’s and con’s
          n   Issuers and investors

          Regulatory Aspects (Jan)     Risk Management of CoCos (Jan)
          n   Basel III and CRD4      n   New instruments, new risks.
          n   Bail in vs CoCos        n   The Death-Spiral effect
                                       n   Extension Risk
CONTINGENT CONVERTIBLES' - THE WORLD OF COCOS JAN DE SPIEGELEER & WIM SCHOUTENS - REACFIN
Introduction                                                                     3

  A Contingent Convertible (CoCo) bond is a debt instrument that converts
  into equity or writes down as soon as the banks gets into a life threatening
  situation.

  Conversion/write down happens via a predefined trigger mechanism: e.g.
  Common Equity Tier-1 (CET1) falling below 7% and is often accompanied with
  a regulatory trigger.

  For CoCos with a conversion feature, this creates dilution for existing
  shareholders, but protects potentially taxpayers.
CONTINGENT CONVERTIBLES' - THE WORLD OF COCOS JAN DE SPIEGELEER & WIM SCHOUTENS - REACFIN
What is a CoCo ?                                                                         4

In the aftermath of the financial crisis Contingent Capital solutions were proposed to
strengthen bank’s Additional Tier 1 (AT1) and Tier 2 (T2) capital levels.
CoCos are such AT1 or T2 instruments and are situated in the hybrids area of the
balance sheet in between equity and traditional debt.
Under the new EU Capital Requirements Directive (CRD4), all new AT1 capital
needs to have CoCo features.
What is a CoCo ?                                                                    5

n CoCos are issued as bonds, but the more the bank is in trouble, the more CoCos
 start behaving as equity.
n How   to model it: as fixed income or as equity ?
n How   to threat it : as a child or and adult ?
What is a CoCo ?                                                                    6

n CoCos are issued as bonds, but the more the bank is in trouble, the more CoCos
 start behaving as equity.
n How   to model it: as fixed income or as equity ?
n How   to threat it : as a child or and adult ?

             “Like teenagers, they spend many hours in their bedrooms,
             suspiciously quiet, you never knowing what they are up to,
             and then suddenly there’s an outburst of sound and fury,
             the cause of which you never understand.

             Hybrid instruments and teenagers are both to be treated
             with love and understanding.”

             Paul Wilmott
The Life of a CoCo                                                         7

                                 Regulatory
                                  Trigger

                                       Bondholder becomes Shareholder
         C   C       DISTRESS                          or
                                        Bond is (partially) written down

                                 Core Tier 1
                                  Trigger

 ISSUE   C   C   C     C    C   C      C    C     C    REDEMPTION

                     Coupon Payments
                                                NEW ISSUE
CoCos Payoff Profile                                                8

Payoff Profile – small probability of an extreme high loss

                                      Probability

            Gain                                             Loss
Introduction: CoCos Nature        9

Difference with
convertible bonds
• High coupons

• Unlimited Downside
  (No Bond Floor)

• Limited Upside (Bond Ceiling)

• Negative convexity
Major Outstanding European CoCos (Feb/2014)    10

                                          10
CoCo	
  Yield	
  Breakdown	
  
                                                               11

•   Interest component: in the present low interest rate
    environment rather small.

•   Liquidity component: CoCos are new asset class with
    only relative liquidity and a still a lot of regulatory
    uncertainty and model uncertainty.

•   Extension risk component: Most CocCs are callable
    bonds . However most of the time no step-up is present/
    allowed.

•   Coupon cancellation risk: For some CoCos (T1)
    coupons are cancellable at the discretion of the issuer/
    regulator. They are typically non cumulative.

•   Conversion component: compensates for the event that
    the CoCo bond is converted into equities or reduced in
    value.

•   Optional Conversion component: reduces because of
    the right of the investor to participate in the positive
    performance of the underlying shares (CoCoCo only).
CoCo	
  Yield	
  Breakdown	
  
                                                                              12

•   Interest component: in the present low interest rate
    environment rather small.                                  150 - 300 bp

•   Liquidity component: CoCos are new asset class with
    only relative liquidity and a still a lot of regulatory
    uncertainty and model uncertainty.
                                                               50 -100 bp
•   Extension risk component: Most CocCs are callable
    bonds . However most of the time no step-up is present/
    allowed.                                                    25 - 50 bp

•   Coupon cancellation risk: For some CoCos (T1)
    coupons are cancellable at the discretion of the issuer/
    regulator. They are typically non cumulative.

•   Conversion component: compensates for the event that
    the CoCo bond is converted into equities or reduced in
    value.                                                     400 - 500 bp
•   Optional Conversion component: reduces because of
    the right of the investor to participate in the positive
    performance of the underlying shares (CoCoCo only).
CoCo	
  Yield	
  Breakdown	
  
                                                                                 13

On average, CoCos offer a 4 times spread pickup over senior, or over 400 basis
points in absolute terms.
Who	
  buys	
  CoCos	
  ?	
  
                                                            14

  n Asset   Managers:
    Have the expertise and have previously been
    exposed to hybrid instruments (pre-2008). Have
    large existing holdings in T1-T2 products. There
    have been some recent launches of CoCo
    funds.
  n Hedge   Funds
    Have more risk-appetite and have the
    experience to hedge to some extend the
    unwanted risks away.
  n Insurance   Industry
    Solvency II favors short dated, high rated debt.
    This is opposite to what CoCos stand for.
    However the extra yield is often attractive.
  n Employees
    Some investment banks (Barcap, CS) pay
    CoCo bonuses to their top-management.

                                                       14
CoCo Issuance                                                                        15

                                 European Contingent Convertible Issuance
                   70

                                        CoCo Bonds
                   60
                                        CoCo Bonds (Write Down)
                                        CoCo Bonds (Equity Conversion)
        USD (bn)   50

                   40

                   30

                   20

                   10

                    0
                        Dec−09       Dec−10       Jan−12         Jan−13     Feb−14
                                                      T
CoCo Issuance : Lloyds (December 2009)                                                       16

                                         European Contingent Convertible Issuance
                           70

                                                CoCo Bonds
                           60
                                                CoCo Bonds (Write Down)
                                                CoCo Bonds (Equity Conversion)
                           50

                USD (bn)   40

                           30

                           20

                           10

                            0
                                Dec−09       Dec−10       Jan−12         Jan−13     Feb−14
                                                              T

       “…its worth a try…”

       Mervin King
       Governor Bank of England
CoCo Issuance : “Swiss Finish”                                                                       17

                                          European Contingent Convertible Issuance
                            70

                                                 CoCo Bonds
                            60
                                                 CoCo Bonds (Write Down)
                                                 CoCo Bonds (Equity Conversion)
                            50

                 USD (bn)
                            40

                            30

                            20

                            10

                             0
                                 Dec−09       Dec−10       Jan−12         Jan−13     Feb−14
                                                               T

    “…A finishing school (or charm school) is a private school for girls that emphasizes
    training in cultural and social activities. The name reflects that it follows on from ordinary
    school and is intended to complete the educational experience, with and emphasis on
    etiquette….”

    CoCos are the finishing touch in the strengthening of the capital of the
    Swiss banks.
CoCo Issuance : Lloyds (December 2009)                                                   18

                                     European Contingent Convertible Issuance
                       70

                                            CoCo Bonds
                       60
                                            CoCo Bonds (Write Down)
                                            CoCo Bonds (Equity Conversion)
                       50

            USD (bn)   40

                       30

                       20

                       10

                        0
                            Dec−09       Dec−10       Jan−12         Jan−13     Feb−14
                                                          T

                                            Write Down CoCo bonds
                                            outnumber Equity Conversion CoCos
CoCos Pros and Cons                      19

 Can they save the banking system ?

 þ extra buffer
 þ clear upfront conditions
 þ no taxpayer money at stake
 þ coco-bonus
 þ ...

 Caveats :
 n if held by financial institutions,
    no reduction of systemic risk
 n death spiral
 n can work too slow
 n ...
Regulatory Aspects   20
Avoiding the use of tax payers’ money                                                              21

                                                                                           BASEL
                                                                                             III

                         Avoiding the use of tax
                             payers’ money

          Make bank                                               Make bank
          failure less                                            failure less
          disruptive                                                 likely

                                             Make banks              Make bank
  Resolution                                                          debt loss
   Authority       Living Wills              less volatile
                                                                     absorbing

                                    Ring        Central      Contingent          Bail-In
                   Dodd Frank      Fencing      Clearing      Capital            Capital
Basel III world : CoCo Friendly                                           22

            n   Regulatory Capital needs to be loss absorbing
            n   CoCo Bonds are allowed in the capital structure
                   – 2% Tier 2
                   – 1.5% Additional Tier 1
                       ► 5.125%     Trigger
                       ► Discretionary   Coupons
                       ► Perpetual   with no incentive to redeem early
                       ► Callable   after 5 year
                       ► Subordinated

                       ► Regulatory    trigger (Point-of non-viability)
            n   Leverage Ratio Calculations
            n   ECB’s comprehensive assessment (2014)
CoCos and the ECB’s comprehensive assessment (2014)    23

          Risk Assessment
          • Liquidity                  Asset Quality
          • Funding                      Review
          • Leverage

                        Stress test
                        • Baseline Scenario
                        • Adverse Scenario
CoCos and the ECB’s comprehensive assessment (2014)                                                      24

          Risk Assessment
          • Liquidity                                 Asset Quality
          • Funding                                     Review
          • Leverage

                     Stress test
                     • Baseline Scenario (8% CET1)
                     • Adverse Scenario (5.5% CET1)

           CoCos can be used to offset the capital shortfall. The caveat is here the fact that the AT1
           CoCo bonds have their trigger set at 5.125%. They therefore cannot be put at work in the
           stress tests.
Basel III world : CoCo Friendly

                                             Issuance of Contingent Capital in Europe
                                35
                                                      Additonal Tier 1
                                30                    Tier 2

            Issue Size ($ bn)   25

                                20

                                15

                                10

                                5

                                0
                                     Jan10       Jan11          Jan12           Jan13   Dec13
                                                                T

          The main focus of the European banks since Q3-2013
          was on the issuance of AT1-CoCo Bonds              25
Basel III world : CoCo Un-Friendly                                                               26

            n   CoCo Bonds are not-allowed to deal with the extra capital imposed on globally
                 systematic important institutions (G-Sibs)
Will CoCo’s Trigger ?                             27

                        Counter Cyclical Buffer

 9.50                   Capital Conservation
 9.00                   Buffer
 8.50
 8.00                   Core Equity
 7.50
 7.00
 6.50
 6.00
 5.50
 5.00
 4.50
 4.00
 3.50
 3.00
 2.50
 2.00
 1.50
 1.00
 0.50
 0.00
Will CoCo’s Trigger ?                                                         28

                                                    Counter Cyclical Buffer

 9.50                                               Capital Conservation
 9.00                                               Buffer
 8.50
 8.00                                               Core Equity
 7.50   7% CoCo Trigger will recapitalize
 7.00   the bank automatically
 6.50
 6.00
 5.50
 5.00
 4.50
 4.00                                       Bank is insolvent in Basel III
 3.50
 3.00                                       (CET1
Will CoCo’s Trigger ?                                                                              29

                                                                  Counter Cyclical Buffer

 9.50                                                             Capital Conservation
 9.00                                                             Buffer
 8.50
 8.00                                                             Core Equity
 7.50   7% CoCo Trigger will recapitalize
 7.00   the bank automatically
 6.50
 6.00
 5.50
 5.00
 4.50
 4.00
 3.50                                               As soon as the bank “eats” into
 3.00                                               its buffers, it will no longer
 2.50                                               have the initiative : coupon payments,
 2.00                                               bonus payments are under regulatory scrutiny
 1.50
 1.00
 0.50
 0.00                       Banks could strengthen their capital base before
                            a trigger occurs !
Quantitative Aspects of CoCos   30
CoCos Anatomy                                                        All CoCos are different                31

• Maturity (> 5y)                           • Loss Absorbing Mechanism
• Coupon (7-10 % ?)                              § Conversion
• Trigger Event                                      • Conversion Price = Issue Price (Lloyds)
                                                                  CP = S0
      § Accounting: e.g. CET1
CoCo	
  Pricing	
  
                                                                               32

CoCos Pricing Methodologies
 n Credit   Model (Rule of Thumb)

 n Equity   Derivatives Model (Barrier Option Pricing)

                                             - EXPECTED YIELD CALCULATION
 n Others   (academic/hard to calibrate):
                                               (8-10% Coupons)
    - firm value valuation
                                             -(PROXY) HEDGING and RISK
    - jump models                            MANAGEMENT
    - stochastic vol models                   (death spiral effect)

    -…                                       - ISSUE SIZE DETERMINATION
                                              (free-float vs short sales)

                                             - RELATIVE PRICING (investment
                                             strategies) …                32
CoCo	
  Pricing	
  
                                                                                                                                                                                                        33

                                        Rule of Thumb Pricing for a CDS:
                               Credit Spread = Expected Loss x Default Intensity
                                                  cs = (1 – RCDS) x λdefault
 Example 1: The Rabobank cds spread (senior) is 65bp. For an expected recovery rate of 40%,
 this corresponds to an estimate of λdefault of 1.09% = 0.65%/(1-0.4).
                                           Rule of Thumb Pricing for a CoCo Spread:
                                               CoCo spread = (1 – RCoCo) x λtrigger

 Example : When will the Rabobank CoCo trigger: λtrigger = ?
 On the trigger event, there is a haircut of 75%. The recovery is hence 25% (RCoCo = 25%).
 Suppose, the CoCo spread of the Rabobank CoCo is 304 bp.
 λtrigger = 3.04% / (1-0.25)= 4.05%. Note that conversion happens before default : λtrigger > λdefault
                                                       RABOBANK CREDIT SPREADS                                                          ONE YEAR DEFAULT/TRIGGER PROBABILITY RABOBANK
                       450                                                                                          5.5

                                                                                                                     5
                       400

                                                                                                                    4.5
                       350

                                                                                                                     4
                                                                                                                                          Default Prob
                       300                                                                                                                                                            λTrigger =4.05%
                                                                                         c=304                                            Trigger Probability

                                                                                                 Default Prob (%)
                                                                                                                    3.5
                                           SENIOR (40% Recovery)
                 bps

                       250
                                           COCO (25% RECOVERY)                                                       3

                       200                                                                                          2.5

                                                                                                                     2
                       150

                                                                                                                    1.5
                       100

                                                                                                                     1
                                                                                         c=65                                                                                         λDefault =1.09%
                        50
                             01−Jan−2013           19−May−2013         05−Oct−2013 31−Dec−2013                      0.5
                                                                   T                                                      01−Jan−2013           19−May−2013         05−Oct−2013 31−Dec−2013
                                                                                                                                                                                       21−Feb−2014
                                                                                                                                                                T
CoCo	
  Pricing	
  :	
  Equity	
  Deriva?ves	
  Approach	
  
                                                                                                      34

                                           Barclays CoCo Bond − US06740L8C27
                              20

                              18

                              16
                S ∗ /S ( %)

                              14

                              12

                              10
                                       Non−Callable CoCo [S1]
                                       Callable 10Yr NC5 (priced till call date)

                              8
                               01−Jan−2013 01−Apr−2013      01−Jul−2013            30−Dec−2013
                                                              T

                                                                                                 34
Risk Management of CoCos   35
Past Performance doesn’t tell us anything…                                                  36

                 160

                 150              CoCo (Total Return)
                                  MSCI
                                  JPM Gvt Bond Index
                 140              JP Morgan High Yield Index

                 130

                 120

                 110

                 100

                  90

                  80
                       Dec−10   Jun−11    Dec−11        Jun−12   Dec−12   Jun−13   Feb−14
Past Performance doesn’t tell us anything…                                                                      37

                                            Period:12−31−2010 :14−Feb−2014
                               14

                               12
       Annualized Return (%)

                               10

                                                                CoCo (Total Return)
                                8                               MSCI
                                                                JPM Gvt Bond Index
                                                                JP Morgan High Yield Index
                                6

                                4

                                2
                                    0   2      4         6        8          10      12      14
                                                   Realized Volatility (%)
                                                                                                   Volatility

                                                                                                  Tail Risk
Death Spiral Risk                                                 38

            The existence of the death-spiral puts a cap on the
            maximum amount of CoCos a bank can issue.
Death Spiral Risk

Death Spiral Risk increases over time
Combing with convertible bonds ? No !                                                         40

            n   Convertible bonds have a positive convexity in normal market circumstances
                                      ∂2 P
                                         2
                                           >0
                                      ∂S
            n   In distressed market circumstances, the opposite is true
Extension Risk                                                                                              41

            n   The increased issuance of AT1 CoCo bonds emphasizes the extension risk

                                                         Issuance of Contingent Capital in Europe
                                            35
                                                                  Additonal Tier 1
                                            30                    Tier 2

                                            25
                        Issue Size ($ bn)

                                            20

                                            15

                                            10

                                            5

                                            0
                                                 Jan10       Jan11          Jan12           Jan13   Dec13
                                                                            T
Extension Risk                                                                                       42

            n   The increased issuance of AT1 CoCo bonds emphasizes the extension risk
            n   Companies do not necessarily call back their bonds on the first call date
            n   Example : Deutsche Bank did not call back a bond in Dec 2008. The market price of
                 the bond dropped 10%
Extension Risk                                                              43
                                     Extending a bond creates no longer a
                                     reputational issue

         Source : barclays capital
Extension Risk                                                                      44

            n   CoCo bonds cannot be considered to expire on the first call date
            n   The extension risk has been embedded into our two approaches :
                   – Credit Derivatives Method
                   – Equity Derivatives Method
            n   New Concepts
                   – Expected Maturity Date
                   – Expected Extension Period
                   – Call Probability
                   –…
            n   Explanation is available for downloading :
                 http://papers.ssrn.com/sol3/papers.cfm?abstract_id=2390344
Extension Risk : Example                                                                                            45

  Implied Trigger level for Barclays

                              Barclays CoCo Bond − US06740L8C27
                 20

                 18                                                             Implied Trigger
                                                                                Levels should not be different ?

                 16                                                             S*Callable > S*Non-Callable
   S ∗ /S ( %)

                 14                                                             The higher trigger level materializes
                                                                                the extension risk. The bond does
                                                                                not expire on the first call date
                 12

                 10
                          Non−Callable CoCo [S1]
                          Callable 10Yr NC5 (priced till call date)

                 8
                  01−Jan−2013 01−Apr−2013      01−Jul−2013            30−Dec−2013
                                                 T
Extension Risk : Example                                                                                                     46

  Implied Trigger level for Barclays

                              Barclays CoCo Bond − US06740L8C27
                20
                                                                                     Adjusting the model for a possible
                18                                                                   Extension risk creates a better fit
                                                                                     between S*Callable and S*Non-Callable
                                                                                     for the CoCo Bond
                16
  S ∗ /S ( %)

                14

                12

                        Non−Callable CoCo [S1]
                10      Callable 10Yr NC5 [S2]
                        Callable 10Yr NC5 (with Extension Risk) [S3]

                8
                 01−Jan−2013 01−Apr−2013     01−Jul−2013               30−Dec−2013
                                               T
Questions ?                                    47

              n   Jan De Spiegeleer
                   jan.spiegeleer@mac.com

              n   Wim Schoutens (KU Leuven)
                   wim.schoutens@kuleuven.be
48

       References
[1] De Spiegeleer, J. and Schoutens W. (2011) Contingent Convertible Coco-Notes: Structuring & Pricing. EuromoneyBooks.

[2] De Spiegeleer, J. and Schoutens, W. (2012) Pricing Contingent Convertibles: A Derivatives Approach. Journal of Derivatives,
Vol. 20, No. 2: pp. 27-36.

[3] De Spiegeleer, J., Schoutens, W. (2012). Steering a bank around a death spiral: Multiple Trigger CoCos. Wilmott Magazine,
2012 (59), 62-69.

[4] De Spiegeleer, J., Schoutens, W. (2013) Multiple Trigger CoCos: Contingent debt without death-spiral risk. Financial
Markets, Institution and Instruments Journal 22 (2).

[5] Corcuera, J. M., De Spiegeleer, J., Ferreiro-Castilla, A., Kyprianou, A.E, Madan, D., Schoutens, W. (2013), Pricing of
Contingent Convertibles under Smile Conform Models. Journal of Credit Risk, Journal of Credit Risk 9(3), 121–140.

[6] Maes, S. and Schoutens, W. (2012) Contingent Capital: An In-Depth Discussion, Economic Notes, vol. 41, no. 1/22, pp. 59–
79

[7] De Spiegeleer, J., Forys, M., Schoutens, W. (2012). Contingent Convertibles. In: Encyclopedia of Debt Finance Euromoney
Books.

[8] De Spiegeleer, J., Van Hulle, C., Schoutens, W. (2011). Cracking the coco pricing conundrum, July issue, 20-21 pp:
CreditFlux.

[9] Madan, D.B. and Schoutens, W. (2011) Conic coconuts: the pricing of contingent capital notes using conic finance ,
Mathematics and Financial Economics, Volume 4, Issue 2, pp 87-106.

[10] Campolongo, F., De Spiegeleer, J., Di Girolamo, F. and Schoutens W. (2012) Contingent Conversion Convertible Bond:
New avenue to raise bank capital. Working paper.

[11] De Spiegeleer, J., Dhaene, J. and Schoutens, W. (2013). Swiss Re’s $750m solvency trigger coco is much riskier than it
seems. Credit Flux. Technical Analysis, April 2013.

[12] Corcuera, J.M., De Spiegeleer, J., Fajardo, J., Jönsson, H., Schoutens W. and Valdivia, A. (2014) Close form pricing
formulas for CoCa CoCos, Journal of Banking and Finance, to appear.

[13] De Spiegeleer, J., Van Hulle, C., Schoutens, W. (2014). The Handbook of Hybrid Securities: Convertible Bonds, CoCo
Bonds and Bail-In, The Wiley Finance Series.
APPENDIX   49
CoCos Anatomy (APPENDIX)                                                               50

                                   European Contingent Convertible Issuance
                     70

                                          CoCo Bonds
                     60
                                          CoCo Bonds (Write Down)
                                          CoCo Bonds (Equity Conversion)
                     50

          USD (bn)
                     40

                     30

                     20

                     10

                      0
                          Dec−09       Dec−10       Jan−12         Jan−13     Feb−14
                                                        T

        Inconsistency in how the conversion to equity takes place
CoCo	
  Pricing	
  (APPENDIX)	
  
                                                                                       51

 • For Equity Conversion CoCos, the expected loss is determined by the value of the
 shares (S*) when conversion takes place : The CoCo investor pays Cp for each share
 with value S*: Recovery Rate (%) = RCoCo = S* / Cp

ASSUME: Triggering happens when the stock     Rule of Thumb Pricing :
prices hits a certain barrier.                CoCo spread = (1 – S* / Cp) x λtrigger
We replace the “CET1 falling below X%”event   Equity Model:
by “Stocks hits the a low barrier H”.         Smile Adjusted Black-Scholes
CoCo	
  Pricing	
  :	
  Equity	
  Deriva?ves	
  Approach	
  (APPENDIX)	
  
                                                                             52

• We break down a CoCo bond into different derivative instruments:
    A. Face Value + Coupons:       BOND (long)
    B. Conversion into stock:      DOWN-AND-IN-FORWARD (long)
       Write-down:                 BINARY DOWN-AND-IN-BARRIER (short)
    C. Cancellation of Coupons     BINARY DOWN-AND-IN BARRIERS (short)

 CoCo Price = A (Bond Part) + B (Loss Absorption) + C (Coupon Loss)

                Pricing formula needs essentially two inputs:
                   Volatility σ and implied trigger level S*
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