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Are there Central Problems in Credit?

Peter Cotton, Sep 2006

With thanks to Sivan Mahadevan, Pinar Onur, Peter Polanskyji, Andrew Sheets who produced many of the slides herein

Why did Black commit suicide?

Dottore Turati Alexander Luzhin (Black to Move)

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Table of Contents

 Section 1: Synthetic CDOs  Section 2: Trading Correlation  Section 3: Problems  Section 4: Open Problems 3

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Section 1: Collateralized Debt Obligations

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CDOs are Companies

Priority of Claim on

Assets

Rises with Seniority Source: Morgan Stanley Priority of Claim on

Collateral

Rises with Seniority 5

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A Typical CDO Capital Structure

Losses from Reference Portfolio are borne by tranches in reverse seniority order Super Senior Tranche (70%) AAA Tranche (7.5%) AA Tranche (3%) A Tranche (2.5%) BBB Tranche (4%) BB Tranche (3%) Equity Tranche (10%) 30 % 22.5% 19.5% % 17 % 13 % 10 % 0 % Source: Morgan Stanley

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Meet the Tranches…

Copyright 2006 Morgan Stanley 7

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Growth in credit markets

Global Total Synthetic CDO Issuance (USD Billions)

350 300 250 200 150 100 50 0 2002 2003 funded 2004 2005 unfunded Q1 2006 Source: CreditFlux

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Other ways to invest

Tranched Credit Risk Small Baskets Credit Options Basis Trades Indexation (TRAC-X SM Dow Jones CDX) Curve Trades Capital Structure Trades Single Name CDS Please see additional important disclosures at the end of this report.

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Section 2: Trading Correlation

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Corporate defaults are not independent

(If history is to be believed)

BBs – 1 Yr and 5 Yr by Cohort

30% 25% 20% 15% 10% 5% 0% 1970 1975

1 Year

5 Year 1980 1985 Cohort 1990 1995 2000 2005 Source: Morgan Stanley, Moody’s

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Corporate defaults are not independent

(If the market is to be believed)

Series 5 Yr

3-7% 7-10% 10-15%

7 Yr

3-7% 7-10% 10-15%

10 Yr

7-10% 10-15%

Zero Correlation CDX 6

6 0 0 13 0 0 24 0 0

CDX 4 Market CDX 5 CDX 6

42 8 4 51 13 6 70 16 8 138 0 0 176 0 0 37 0 53 0 226 1 0 75 1 155 32 14 93 46 171 37 16 99 47 196 44 19 107 52

CDX 4 Difference CDX 5 CDX 6

36 8 4 38 13 6 46 16 8 17 32 14

-5

37 16

-30

43 19 56 46 46 47 32 51 Source: Morgan Stanley

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Correlation and Minefields

Low Correlation High Correlation 13

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Correlation Intuition

Subordinate tranches

Spread

decreases

correlation rises as

Senior tranches

Spread

increases

correlation rises as

Fundamental Correlation Relationships

bp 400 300 200 100 0 0% 20% 40% 60% 80% 100% 14 Senior Tranches Source: Morgan Stanley Subordinate Tranches

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Correlation example: Pensions and Labor Costs

Issues such as pension and labor costs that have plagued the airline industry may spread to other sectors

Similar issues could prove to be a driver in determining default correlation across sectors

This list highlights companies where significant potential exists for a high realized default correlation

Not Only One Sector – Unfunded Pension Liabilities Relative to Equity Market Capitalization Issuer

Delta Air Lines Inc 1 Northwest Airlines Corp 1 Exide Technologies Delphi Corp Continental Airlines Inc AK Steel Holding Corp AMR Corp Goodyear Tire & Rubber Co Hayes Lemmerz Int’l Inc Dura Automotive Systems Inc Visteon Corp Ford Motor Co Austral Pacific Energy Ltd General Motors Corp ArvinMeritor Inc Unisys Corp Navistar International Corp Smurfit-Stone Container Corp Abitibi-Consolidated Inc Tenneco Automotive Inc Bowater Inc PolyOne Corp Dana Corp Hercules Inc TRW Automotive Holdings Corp Terra Industries Inc Timken Co Alcan Inc

Ticker

DAL NWAC XIDE DPH CAL AKS AMR GT HAYZ DRRA VC F AEN GM ARM UIS NAV SSCC ABY TEN BOW POL DCN HPC TRW TRA TKR AL

Industry Group

Airlines Airlines Auto Parts & Equipment Auto Parts & Equipment Airlines Iron/Steel Airlines Auto Parts & Equipment Auto Parts & Equipment Auto Parts & Equipment Auto Parts & Equipment Auto Manufacturers Oil & Gas Auto Manufacturers Auto Parts & Equipment Computers Auto Manufacturers Forest Products & Paper Forest Products & Paper Auto Parts & Equipment Forest Products & Paper Chemicals Auto Parts & Equipment Chemicals Auto Parts & Equipment Chemicals Metal Fabricate/Hardware Mining

Funding Gap/ Mkt Cap

1235% 875% 266% 256% 215% 147% 145% 112% 102% 81% 73% 68% 62% 43% 40% 36% 34% 33% 33% 32% 29% 27% 25% 22% 22% 22% 29% 24% 1 Market Cap based on the average of the 6 months prior to the bankruptcy filing Source: Morgan Stanley

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Section 3: Problems

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Real-World Correlation?

World A another – likelihood of 100 defaults are equally related to one - World B the rest – the default propensity of three companies are highly correlated to each other but not to

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Correlation – Details Matter WORLD A Credit

1 2 3 4 5 … 100

1 2

50%

5 3

50%

4

50% 50% 50% 50% 50% 50% 50% 50% 50% … 50% 50% 50% … 50% 50% 50% 50% … 50% 50% 50% 50% 50% … 50% … 50%

… 100

… 50% … 50% … 50% … 50% … 50%

Average

50%

WORLD B Credit

1 2 3 4 … 100

1 2

90%

5 3

90%

4

10% 90% 10% 10% 10% 90% 90% 10% … 90% 10% … 10% 10% 10% 10% 10% … 50% … 50% 50% 10% 50%

… 100

… 10% … 10% … 10% … 50%

Average

48% Source: Morgan Stanley

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Dynamics of a Static Model

TRACERS spread scenario with five defaults in the first two years

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Modeling correlation in spreads (intensity models)

(For illustration, we identify spreads with hazard rates)

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Problem 1: Model Construction

Build a

dynamic

credit model for hundreds of assets:

   

Consistent across sub-portfolios Internally consistent and computable dynamics Tractable pricing and estimation Can be calibrated to CDS, index, options, tranches

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Problem 2: Estimation

c.f. Specification analysis of affine term structure models • • • • Dai & Singleton Duffie & Singleton Gallant & Tauchen Hansen An efficiently simulated can be

efficiently, consistently

estimated… eventually Advantages • • • Elegant Can include arbitrarily complex products No likelihood function required (5000 iterations)(1000 steps)(10,000 paths)(1 sec) = 2180 years 21

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Problem 3: Deal Dynamics

How will structured deals & companies evolve?

- Ratings stability - Contingent payments - Corporate events - Optimal management How will desks optimize their correlation trading operations? - Monetization strategies - Contingent hedging costs - Risk management - Capital allocation 22

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Board Vision

Dottore Turati Alexander Luzhin (Black to Move and Win)

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Raising the bar

  

Solve hard modeling & numerical problems Leverage emerging technologies Leverage advances in other fields --> Enhance and

challenge

human decision making

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