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1 1 1 1 Dr. Edward Altman NYU Stern School of Business Altman Z-Score Models After 50 Years, Where We Are in the Credit Cycle & Outlook and the Italian Mini-bond Market Credit Risk & Investment Strategy Seminar Classis Capital Piemonte, Italia December 02, 2017

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Page 1: Altman Z-Score Models After 50 Years, Where We Are in the ... · 1 Dr. Edward Altman NYU Stern School of Business Altman Z-Score Models After 50 Years, Where We Are in the Credit

1 1 1 1

Dr. Edward Altman

NYU Stern School of Business

Altman Z-Score Models After 50

Years, Where We Are in the

Credit Cycle & Outlook and the

Italian Mini-bond Market

Credit Risk & Investment Strategy Seminar

Classis Capital

Piemonte, Italia

December 02, 2017

Page 2: Altman Z-Score Models After 50 Years, Where We Are in the ... · 1 Dr. Edward Altman NYU Stern School of Business Altman Z-Score Models After 50 Years, Where We Are in the Credit

Scoring Systems

2

• Qualitative (Subjective) – 1800s

• Univariate (Accounting/Market Measures)

– Rating Agency (e.g. Moody’s (1909), S&P (1916) and Corporate (e.g., DuPont) Systems (early 1900s)

• Multivariate (Accounting/Market Measures) – Late 1960s (Z-Score) - Present

– Discriminant, Logit, Probit Models (Linear, Quadratic)

– Non-Linear and “Black-Box” Models (e.g., Recursive Partitioning Neural Networks, 1990s)

• Discriminant and Logit Models in Use for

– Consumer Models - Fair Isaacs (FICO Scores)

– Manufacturing Firms (1968) – Z-Scores

– Extensions and Innovations for Specific Industries and Countries (1970s – Present)

– ZETA Score – Industrials (1977)

– Private Firm Models (e.g., Z’-Score (1983), Z”-Score (1995))

– EM Score – Emerging Markets (1995)

– Bank Specialized Systems (1990s)

– SMEs (e.g. Edmister (1972), Altman & Sabato (2007) & Wiserfunding (2016))

• Option/Contingent Claims Models (1970s – Present)

– Risk of Ruin (Wilcox, 1973)

– KMVs Credit Monitor Model (1993) – Extensions of Merton (1974) Structural Framework

Page 3: Altman Z-Score Models After 50 Years, Where We Are in the ... · 1 Dr. Edward Altman NYU Stern School of Business Altman Z-Score Models After 50 Years, Where We Are in the Credit

3

Scoring Systems (continued)

• Artificial Intelligence Systems (1990s – Present)

– Expert Systems

– Neural Networks

– Machine Learning

• Blended Ratio/Market Value Models/Macro Data

– Altman Z-Score (Fundamental Ratios and Market Values) – 1968

– Bond Score (Credit Sights, 2000; RiskCalc Moody’s, 2000)

– Hazard (Shumway), 2001)

– Kamakura’s Reduced Form, Term Structure Model (2002)

– Z-Metrics (Altman, et al, Risk Metrics©, 2010)

• Re-introduction of Qualitative Factors/FinTech

– Stand-alone Metrics, e.g., Invoices, Payment History

– Multiple Factors – Data Mining (Big Data Payments, Governance, time spent on

individual firm reports [e.g., CreditRiskMonitor’s revised FRISK Scores, 2017],

etc.)

– Enhanced Blended Models (2000s)

Page 4: Altman Z-Score Models After 50 Years, Where We Are in the ... · 1 Dr. Edward Altman NYU Stern School of Business Altman Z-Score Models After 50 Years, Where We Are in the Credit

4 4

Major Agencies Bond Rating Categories

Moody's S&P/Fitch

Aaa AAA

Aa1 AA+

Aa2 AA

Aa3 AA-

A1 A+

A2 A

A3 A-

Baa1 BBB+

Baa2 Investment BBB

Baa3 Grade BBB-

Ba1 High Yield BB+

Ba2 ("Junk") BB

Ba3 BB-

B1 B+

B2 B

B3 B-

Caa1 CCC+

Caa CCC

Caa3 CCC-

Ca CC

C

C D4

Page 5: Altman Z-Score Models After 50 Years, Where We Are in the ... · 1 Dr. Edward Altman NYU Stern School of Business Altman Z-Score Models After 50 Years, Where We Are in the Credit

5

1978 – 2017 (Mid-year US$ billions)

Size of the US High-Yield Bond Market

Source: NYU Salomon Center estimates using Credit Suisse, S&P and Citi data.

$1,622

$-

$200

$400

$600

$800

$1.000

$1.200

$1.400

$1.600

$1.80019

78

19

79

19

80

19

81

19

82

19

83

19

84

19

85

19

86

19

87

19

88

19

89

19

90

19

91

19

92

19

93

19

94

19

95

19

96

19

97

19

98

19

99

20

00

20

01

20

02

20

03

20

04

20

05

20

06

20

07

20

08

20

09

20

10

20

11

20

12

20

13

20

14

20

15

20

16

20

17

$ (

Bil

lio

ns)

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Size of Western European HY Market

6

Includes non-investment grade straight corporate debt of issuers with assets located in or revenues derived from Western Europe, or the bond is denominated in a Western European currency. Floating-rate and convertible bonds and preferred stock are not included.

Source: Credit Suisse

2 5 9 14 27 45 61

70 89 84 81 79 80 77 81

108

154

194

283

370

418

476 483 476

0

50

100

150

200

250

300

350

400

450

500

€ (

Bil

lio

ns)

Page 7: Altman Z-Score Models After 50 Years, Where We Are in the ... · 1 Dr. Edward Altman NYU Stern School of Business Altman Z-Score Models After 50 Years, Where We Are in the Credit

7

The Italian Mini-bond Market

We believe “Mini-bonds” can be a success in Italy as long as the market supplies an attractive

risk/return tradeoff to investors as well as affordable and flexible financing for borrowers.

Europe High-yield bond market is still lagging behind

the US one, but the growth has accelerated in the last 3

years.

In Italy, the market for SME bonds is known as

Extra-MOT PRO “Mini-bond” market.

The new segment of the Extra-MOT market

dedicated to listing of bonds, commercial paper, and

project finance bonds started in February 2013.

The total amount of listed issuances since February

2013 is 177, for a total issued amount of about Euro

7,146bn. As of March 2016, there is Euro 4.491bn

outstanding, from 130 issues.

In Q2 2016, 13 new issues have been launched.

Page 8: Altman Z-Score Models After 50 Years, Where We Are in the ... · 1 Dr. Edward Altman NYU Stern School of Business Altman Z-Score Models After 50 Years, Where We Are in the Credit

8

Problems With Traditional Financial Ratio Analysis

in Predicting Corporate Financial Distress

1 Univariate Technique

1-at-a-time

2 No “Bottom Line”

3 Subjective Weightings

4 Ambiguous

5 Misleading

Page 9: Altman Z-Score Models After 50 Years, Where We Are in the ... · 1 Dr. Edward Altman NYU Stern School of Business Altman Z-Score Models After 50 Years, Where We Are in the Credit

9

Forecasting Distress With Discriminant Analysis

Linear Form

Z = a1x1 + a2x2 + a3x3 + …… + anxn

Z = Discriminant Score (Z Score)

a1 an = Discriminant Coefficients (Weights)

x1 xn = Discriminant Variables (e.g. Ratios)

Example x

x x

x x

x x

x

x

x x

x

x x x

x x

x

x

x x

x x

x x

x

x

x

x x

x x

x x

x

x

x x x

EBIT

TA

EQUITY/DEBT

Page 10: Altman Z-Score Models After 50 Years, Where We Are in the ... · 1 Dr. Edward Altman NYU Stern School of Business Altman Z-Score Models After 50 Years, Where We Are in the Credit

10

Z-Score Component Definitions and Weightings

Variable Definition Weighting Factor

X1 Working Capital 1.2

Total Assets

X2 Retained Earnings 1.4

Total Assets

X3 EBIT 3.3

Total Assets

X4 Market Value of Equity 0.6

Book Value of Total Liabilities

X5 Sales 1.0

Total Assets

Page 11: Altman Z-Score Models After 50 Years, Where We Are in the ... · 1 Dr. Edward Altman NYU Stern School of Business Altman Z-Score Models After 50 Years, Where We Are in the Credit

11

Zones of Discrimination:

Original Z - Score Model (1968)

Z > 2.99 - “Safe” Zone

1.8 < Z < 2.99 - “Grey” Zone

Z < 1.80 - “Distress” Zone

Page 12: Altman Z-Score Models After 50 Years, Where We Are in the ... · 1 Dr. Edward Altman NYU Stern School of Business Altman Z-Score Models After 50 Years, Where We Are in the Credit

Time Series Impact On Corporate

Z-Scores

12

• Credit Risk Migration

- Greater Use of Leverage

- Impact of HY Bond & LL Markets

- Global Competition

- More and Larger Bankruptcies

• Increased Type II Error

Page 13: Altman Z-Score Models After 50 Years, Where We Are in the ... · 1 Dr. Edward Altman NYU Stern School of Business Altman Z-Score Models After 50 Years, Where We Are in the Credit

13

Estimating Probability of Default (PD) and

Probability of Loss Given Defaults (LGD) Method #1

• Credit scores on new or existing debt

• Bond rating equivalents on new issues (Mortality) or

existing issues (Rating Agency Cumulative Defaults)

• Utilizing mortality or cumulative default rates to estimate

marginal and cumulative defaults

• Estimating Default Recoveries and Probability of Loss

Method #2

• Credit scores on new or existing debt

• Direct estimation of the probability of default

• Based on PDs, assign a rating

or

Page 14: Altman Z-Score Models After 50 Years, Where We Are in the ... · 1 Dr. Edward Altman NYU Stern School of Business Altman Z-Score Models After 50 Years, Where We Are in the Credit

14

Median Z-Score by S&P Bond Rating for U.S.

Manufacturing Firms: 1992 - 2013

Sources: Compustat Database, mainly S&P 500 firms, compilation by NYU Salomon Center, Stern School of Business.

Rating 2013 (No.) 2004-2010 1996-2001 1992-1995

AAA/AA 4.13 (15) 4.18 6.20* 4.80*

A 4.00 (64) 3.71 4.22 3.87

BBB 3.01 (131) 3.26 3.74 2.75

BB 2.69 (119) 2.48 2.81 2.25

B 1.66 (80) 1.74 1.80 1.87

CCC/CC 0.23 (3) 0.46 0.33 0.40

D 0.01 (33) -0.04 -0.20 0.05

*AAA Only.

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15

All Rated Corporate Bonds*

1971-2016

Mortality Rates by Original Rating

*Rated by S&P at Issuance Based on 3,280 issues

Source: Standard & Poor's (New York) and Author's Compilation

Years After Issuance

1 2 3 4 5 6 7 8 9 10

AAA Marginal 0.00% 0.00% 0.00% 0.00% 0.01% 0.02% 0.01% 0.00% 0.00% 0.00%

Cumulative 0.00% 0.00% 0.00% 0.00% 0.01% 0.03% 0.04% 0.04% 0.04% 0.04%

AA Marginal 0.00% 0.00% 0.20% 0.06% 0.02% 0.01% 0.01% 0.01% 0.02% 0.01%

Cumulative 0.00% 0.00% 0.20% 0.26% 0.28% 0.29% 0.30% 0.31% 0.33% 0.34%

A Marginal 0.01% 0.03% 0.11% 0.12% 0.09% 0.05% 0.02% 0.24% 0.07% 0.04%

Cumulative 0.01% 0.04% 0.15% 0.27% 0.36% 0.41% 0.43% 0.67% 0.74% 0.78%

BBB Marginal 0.32% 2.34% 1.24% 0.98% 0.49% 0.22% 0.25% 0.16% 0.17% 0.33%

Cumulative 0.32% 2.65% 3.86% 4.80% 5.27% 5.48% 5.71% 5.86% 6.02% 6.33%

BB Marginal 0.92% 2.04% 3.85% 1.95% 2.42% 1.56% 1.44% 1.10% 1.41% 3.11%

Cumulative 0.92% 2.94% 6.68% 8.50% 10.71% 12.11% 13.37% 14.32% 15.53% 18.16%

B Marginal 2.86% 7.67% 7.78% 7.75% 5.74% 4.46% 3.60% 2.05% 1.73% 0.75%

Cumulative 2.86% 10.31% 17.29% 23.70% 28.08% 31.29% 33.76% 35.12% 36.24% 36.72%

CCC Marginal 8.11% 12.40% 17.75% 16.25% 4.90% 11.62% 5.40% 4.75% 0.64% 4.26%

Cumulative 8.11% 19.50% 33.79% 44.55% 47.27% 53.40% 55.91% 58.01% 58.28% 60.05%

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16

All Rated Corporate Bonds*

1971-2016

Mortality Losses by Original Rating

*Rated by S&P at Issuance Based on 2,714 issues

Source: Standard & Poor's (New York) and Author's Compilation

Years After Issuance

1 2 3 4 5 6 7 8 9 10

AAA Marginal 0.00% 0.00% 0.00% 0.00% 0.01% 0.01% 0.01% 0.00% 0.00% 0.00%

Cumulative 0.00% 0.00% 0.00% 0.00% 0.01% 0.02% 0.03% 0.03% 0.03% 0.03%

AA Marginal 0.00% 0.00% 0.03% 0.02% 0.01% 0.01% 0.00% 0.01% 0.01% 0.01%

Cumulative 0.00% 0.00% 0.03% 0.05% 0.06% 0.07% 0.07% 0.08% 0.09% 0.10%

A Marginal 0.00% 0.01% 0.04% 0.05% 0.05% 0.04% 0.02% 0.02% 0.05% 0.03%

Cumulative 0.00% 0.01% 0.05% 0.10% 0.15% 0.19% 0.21% 0.23% 0.28% 0.31%

BBB Marginal 0.23% 1.53% 0.70% 0.58% 0.26% 0.16% 0.10% 0.09% 0.10% 0.18%

Cumulative 0.23% 1.76% 2.44% 3.01% 3.26% 3.42% 3.51% 3.60% 3.70% 3.87%

BB Marginal 0.55% 1.18% 2.30% 1.11% 1.38% 0.74% 0.78% 0.48% 0.73% 1.09%

Cumulative 0.55% 1.72% 3.98% 5.05% 6.36% 7.05% 7.78% 8.22% 8.89% 9.88%

B Marginal 1.92% 5.38% 5.32% 5.20% 3.79% 2.45% 2.34% 1.13% 0.91% 0.53%

Cumulative 1.92% 7.20% 12.13% 16.70% 19.86% 21.82% 23.65% 24.52% 25.20% 25.60%

CCC Marginal 5.37% 8.68% 12.49% 11.45% 3.42% 8.61% 2.32% 3.34% 0.40% 2.72%

Cumulative 5.37% 13.58% 24.38% 33.04% 35.33% 40.89% 42.27% 44.19% 44.42% 45.93%

Page 17: Altman Z-Score Models After 50 Years, Where We Are in the ... · 1 Dr. Edward Altman NYU Stern School of Business Altman Z-Score Models After 50 Years, Where We Are in the Credit

17

Z Score Trend - LTV Corp.

-1.5

-1

-0.5

0

0.5

1

1.5

2

2.5

3

3.5

1980 1981 1982 1983 1984 1985 1986

Year

Z S

co

re

Grey Zone

Bankrupt

July ‘86

Safe Zone

Distress Zone

2.99

1.8

BB+ BBB-

B- B- CCC+

CCC+

D

Page 18: Altman Z-Score Models After 50 Years, Where We Are in the ... · 1 Dr. Edward Altman NYU Stern School of Business Altman Z-Score Models After 50 Years, Where We Are in the Credit

18

IBM Corporation

Z Score (1980 – 2001)

00.5

11.5

22.5

33.5

44.5

55.5

6

1980 1982 1984 1986 1988 1990 1992 1994 1996 1998 2000

Year

Z S

co

re

Operating Co.

Safe Zone

Consolidated Co.

Grey Zone BBB

BB

B 1/93: Downgrade

AAA to AA-

July 1993: Downgrade AA- to A

Page 19: Altman Z-Score Models After 50 Years, Where We Are in the ... · 1 Dr. Edward Altman NYU Stern School of Business Altman Z-Score Models After 50 Years, Where We Are in the Credit

19

Z-Score Model Applied to GM (Consolidated Data):

Bond Rating Equivalents and Scores from 2005 – 2016

Z- Score: General Motors Co.

CCC+B-

CCC+

D

CCC

B B

D

B BB

B B-

-1.50

-1.00

-0.50

0.00

0.50

1.00

1.50

2.00

De

c-0

5

De

c-0

6

De

c-0

7

De

c-0

8

De

c-0

9

De

c-1

0

De

c-1

1

De

c-1

2

De

c-1

3

De

c-1

4

De

c-1

5

De

c-1

6

Z-Sc

ore

Z-Score

Ch. 11 Filing

6/01/09

Upgrade to BBB-

by S&P

9/25/14

Full Emergence

from Bankruptcy

3/31/11

Emergence, New Co. Only, from

Bankruptcy, 7/13/09

Page 20: Altman Z-Score Models After 50 Years, Where We Are in the ... · 1 Dr. Edward Altman NYU Stern School of Business Altman Z-Score Models After 50 Years, Where We Are in the Credit

20

Additional Altman Z-Score Models:

Private Firm Model (1968)

Non-U.S., Emerging Markets Models for Non

Financial Industrial Firms (1995)

e.g. Latin America (1977, 1995), China (2010), etc.

Sovereign Risk Bottom-Up Model (2010)

SME Models for the U.S. (2007) & Europe e.g. Italian Minibonds (2016), U.K. (2017), Spain (?)

Page 21: Altman Z-Score Models After 50 Years, Where We Are in the ... · 1 Dr. Edward Altman NYU Stern School of Business Altman Z-Score Models After 50 Years, Where We Are in the Credit

21

Z” Score Model for Manufacturers, Non-Manufacturer

Industrials; Developed and Emerging Market Credits (1995)

Z” = 3.25 + 6.56X1 + 3.26X2 + 6.72X3 + 1.05X4

X1 = Current Assets - Current Liabilities

Total Assets

X2 = Retained Earnings

Total Assets

X3 = Earnings Before Interest and Taxes

Total Assets

X4 = Book Value of Equity

Total Liabilities

Page 22: Altman Z-Score Models After 50 Years, Where We Are in the ... · 1 Dr. Edward Altman NYU Stern School of Business Altman Z-Score Models After 50 Years, Where We Are in the Credit

22

US Bond Rating Equivalents Based on Z”-Score Model

Z”=3.25+6.56X1+3.26X2+6.72X3+1.05X4

aSample Size in Parantheses. bInterpolated between CCC and CC/D. cBased on 94 Chapter 11 bankruptcy filings, 2010-2013.

Sources: Compustat, Company Filings and S&P.

Rating Median 1996 Z”-Scorea Median 2006 Z”-Scorea Median 2013 Z”-Scorea

AAA/AA+ 8.15 (8) 7.51 (14) 8.80 (15)

AA/AA- 7.16 (33) 7.78 (20) 8.40 (17)

A+ 6.85 (24) 7.76 (26) 8.22 (23)

A 6.65 (42) 7.53 (61) 6.94 (48)

A- 6.40 (38) 7.10 (65) 6.12 (52)

BBB+ 6.25 (38) 6.47 (74) 5.80 (70)

BBB 5.85 (59) 6.41 (99) 5.75 (127)

BBB- 5.65 (52) 6.36 (76) 5.70 (96)

BB+ 5.25 (34) 6.25 (68) 5.65 (71)

BB 4.95 (25) 6.17 (114) 5.52 (100)

BB- 4.75 (65) 5.65 (173) 5.07 (121)

B+ 4.50 (78) 5.05 (164) 4.81 (93)

B 4.15 (115) 4.29 (139) 4.03 (100)

B- 3.75 (95) 3.68 (62) 3.74 (37)

CCC+ 3.20 (23) 2.98 (16) 2.84 (13)

CCC 2.50 (10) 2.20 (8) 2.57(3)

CCC- 1.75 (6) 1.62 (-)b 1.72 (-)b

CC/D 0 (14) 0.84 (120) 0.05 (94)c

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23

Z and Z”-Score Models Applied to Sears, Roebuck & Co.:

Bond Rating Equivalents and Scores from 2014 – 2016

Z and Z”- Score: Sears, Roebuck & Co.

0,00

0,50

1,00

1,50

2,00

2,50

3,00

2014 2015 2016

Z-Score Z"-Score

B+

B B-

D

CCC

CCC

Source: E. Altman, NYU Salomon Center

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24

Z and Z”-Score Models Applied to Toys “R” Us, Inc.:

Bond Rating Equivalents and Scores from 2014 – 2Q17

Z and Z”- Score: Toys “R” Us, Inc.

0,00

0,50

1,00

1,50

2,00

2,50

3,00

3,50

4,00

2014 2015 2016 1Q17 2Q17 (July)

Z-Score Z"-Score

CC/D

B B

CCC/CC

B B

B-

B-

CCC+

Source: E. Altman, NYU Salomon Center

B-

Ch. 11 Filed

9/18/17

Page 25: Altman Z-Score Models After 50 Years, Where We Are in the ... · 1 Dr. Edward Altman NYU Stern School of Business Altman Z-Score Models After 50 Years, Where We Are in the Credit

Financial Distress (Z-Score) Prediction Applications

External (To The Firm) Analytics

Lenders (e.g., Pricing, Basel Capital Allocation)

Bond Investors (e.g., Quality Junk Portfolio

Long/Short Investment Strategy on Stocks (e.g.

Baskets of Strong Balance Sheet Companies &

Indexes, e.g. STOXX, Goldman, Nomura)

Security Analysts & Rating Agencies

Regulators & Government Agencies

Auditors (Audit Risk Model) – Going Concern

Advisors (e.g., Assessing Client’s Health)

M&A (e.g., Bottom Fishing)

Internal (To The Firm) & Research Analytics

To File or Not (e.g., General Motors)

Comparative Risk Profiles Over Time

Industrial Sector Assessment (e.g., Energy)

Sovereign Default Risk Assessment

Purchasers, Suppliers Assessment

Accounts Receivables Management

Researchers – Scholarly Studies

Chapter 22 Assessment

Managers – Managing a Financial Turnaround

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26 26 26

Current Conditions and

Outlook in Global Credit

Markets

Page 27: Altman Z-Score Models After 50 Years, Where We Are in the ... · 1 Dr. Edward Altman NYU Stern School of Business Altman Z-Score Models After 50 Years, Where We Are in the Credit

Benign Credit Cycle? Is It Over?

27

• Length of Benign Credit Cycles: Is the Current Cycle Over? No.

• Default Rates (no)

• Default Forecast (no)

• Recovery Rates (no)

• Yields (no)

• Liquidity (no)

Page 28: Altman Z-Score Models After 50 Years, Where We Are in the ... · 1 Dr. Edward Altman NYU Stern School of Business Altman Z-Score Models After 50 Years, Where We Are in the Credit

Quarterly Default Rate and Four-Quarter Moving Average

1989 – 2017 (3Q)

Source: Author’s Compilations

Default Rates on High-Yield Bonds

28

0.0%

2.0%

4.0%

6.0%

8.0%

10.0%

12.0%

14.0%

16.0%

0.0%

1.0%

2.0%

3.0%

4.0%

5.0%

6.0%

4 -

Qu

arte

r M

ovin

g A

vera

ge

Qu

arte

rly

Def

ault

Rat

e

Quarterly Moving

Page 29: Altman Z-Score Models After 50 Years, Where We Are in the ... · 1 Dr. Edward Altman NYU Stern School of Business Altman Z-Score Models After 50 Years, Where We Are in the Credit

Default and Recovery Forecasts: Summary of Forecast Models

Source: All Corporate Bond Issuance and Authors’ Estimates of Market Size in 2016 & 2017.

Model

2016 (12/31)

Default Rate

Forecast as of

12/31/2015

2017 (12/31)

Default Rate

Forecast as

of 12/31/2016

2018 (9/30)

Default Rate

Forecast as

of 9/30/2017

Mortality Rate 4.50% 4.20% 4.20%

Yield-Spread 6.00%a 2.18%c 1.81%e

Distress Ratio 4.38%b 1.94%d 1.77%f

Average of Models

Recovery Rates*

4.96%

37.5%

2.77%

43.8%

2.59%

44.6%

* Recovery rate based on the log Linear equation between default and recovery rates, see Altman, et al (2005) Journal of Business, November and

Slide 45. a Based on Dec. 31, 2015 yield-spread of 699.8bp. b Based on Dec. 31, 2015 Distress Ratio of 24.7%. c Based on Dec. 31, 2016 yield-

spread of 412.1. d Based on Dec. 31, 2016 Distress Ratio of 7.4%. e Based on Sep. 30, 2017 yield-spread of 383.4bp. f Based on Sep. 30, 2017

Distress Ratio of 6.16%. 29

Page 30: Altman Z-Score Models After 50 Years, Where We Are in the ... · 1 Dr. Edward Altman NYU Stern School of Business Altman Z-Score Models After 50 Years, Where We Are in the Credit

30 Source: E. Altman, et. al., “The Link Between Default and Recovery Rates”, NYU Salomon Center, S-03-4.

Recovery Rate/Default Rate Association: Dollar-Weighted Average Recovery

Rates to Dollar Weighted Average Default Rates, 1982 – 3Q17

1982

2004

1984

1985

1986

1987

1988

1989

1990

1991

1992

1993

1994

1995

1996

1997

1998

1999

20002001 2002

2003

1983

2005

2006

2007

2008

2009

2010

2011

2012

2013

2014

2015

2016

y = -2.6781x + 0.5456R² = 0.4752

y = -0.116ln(x) + 0.0217R² = 0.5855

y = 0.5471e-6.664x

R² = 0.5244y = 39.123x2 - 7.3671x + 0.6211

R² = 0.5693

10%

20%

30%

40%

50%

60%

70%

0% 2% 4% 6% 8% 10% 12% 14%

Reco

very

Rate

Default Rate

Reco

very

Rate

Default Rate

Reco

very

Rate

Default Rate

Reco

very

Rate

Reco

very

Rate

Default Rate

Reco

very

Rate

Reco

very

Rate

Reco

very

Rate

Reco

very

Rate

Reco

very

Rate

Reco

very

Rate

Reco

very

Rate

Reco

very

Rate

Reco

very

Rate

Reco

very

Rate

Reco

very

Rate

2017

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June 01, 2007 – November 10, 2017

Sources: Citigroup Yieldbook Index Data and Bank of America Merrill Lynch. 31

YTM & Option-Adjusted Spreads Between High Yield

Markets & U.S. Treasury Notes

200

400

600

800

1,000

1,200

1,400

1,600

1,800

2,000

2,200

6/1

/2007

9/1

4/2

007

12/3

1/2

007

4/1

5/2

008

7/2

9/2

008

11/1

1/2

008

2/2

6/2

009

6/1

1/2

009

9/2

4/2

009

1/1

1/2

010

4/2

6/2

010

8/9

/2010

11/2

2/2

010

3/7

/2011

6/2

0/2

011

10/3

/2011

1/1

8/2

012

5/2

/2012

8/1

5/2

012

11/2

8/2

012

3/1

5/2

013

6/2

8/2

013

10/1

1/2

013

1/2

8/2

014

5/1

3/2

014

8/2

6/2

014

12/9

/2014

3/2

6/2

015

7/9

/2015

10/2

2/2

015

2/8

/2016

5/2

3/2

016

9/5

/2016

12/1

9/2

016

4/5

/2017

7/1

9/2

017

11/1

/2017

Yield Spread (YTMS) OAS Average YTMS (1981-2016) Average OAS (1981-2016)

12/16/08 (YTMS = 2,046bp, OAS = 2,144bp)

YTMS = 539bp,

OAS = 544bp

11/10/17 (YTMS = 398p, OAS = 376bp) 6/12/07 (YTMS = 260bp, OAS = 249bp)

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32

Comparative Health of High-Yield

Firms (2007 vs. 2012/2014/3Q 2016)

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Comparing Financial Strength of High-Yield Bond

Issuers in 2007& 2012/2014/3Q 2016

33

Year

Average Z-Score/

(BRE)*

Median Z-Score/

(BRE)*

Average Z”-Score/

(BRE)*

Median Z”-Score/

(BRE)*

2007 1.95 (B+) 1.84 (B+) 4.68 (B+) 4.82 (B+)

2012 1.76 (B) 1.73 (B) 4.54 (B) 4.63 (B)

2014 2.03 (B+) 1.85 (B+) 4.66 (B+) 4.74 (B+)

2016 (3Q) 1.97 (B+) 1.70 (B) 4.44 (B) 4.63 (B)

*Bond Rating Equivalent

Source: Authors’ calculations, data from Altman and Hotchkiss (2006) and S&P Capital IQ/Compustat.

Number of Firms

Z-Score Z”-Score

2007 294 378

2012 396 486

2014 577 741

2016 (3Q) 581 742

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U.S. Non-financial Corporate Debt to GDP: Comparison to 4-

Quarter Moving Average Default Rate

0%

2%

4%

6%

8%

10%

12%

14%

16%

37%

38%

39%

40%

41%

42%

43%

44%

45%

46%

47%

Jan

-87

Jan

-88

Jan

-89

Jan

-90

Jan

-91

Jan

-92

Jan

-93

Jan

-94

Jan

-95

Jan

-96

Jan

-97

Jan

-98

Jan

-99

Jan

-00

Jan

-01

Jan

-02

Jan

-03

Jan

-04

Jan

-05

Jan

-06

Jan

-07

Jan

-08

Jan

-09

Jan

-10

Jan

-11

Jan

-12

Jan

-13

Jan

-14

Jan

-15

Jan

-16

Jan

-17

% NFCD to GDP (Quarterly) 4-Quarter Moving Average Default Rate

January 1, 1987 – March 31, 2017

Sources: FRED, Federal Reserve Bank of St. Louis and Altman/Kuehne High-Yield Default Rate data.

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QUALITY JUNK STRATEGY

35

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0

500

1.000

1.500

2.000

2.500

3.000

3.500

4.000

4.500

5.000

0,00 1,00 2,00 3,00 4,00 5,00 6,00 7,00 8,00

OA

S (

bp

)

Z"-Score (BRE) BBB- BB

A

B

C

D

A

B

C

D

B- CCC- BBB- BB

A

B

C

D

A

B

C

D

B- CCC-

Z” = 3.25 + 6.56X1 + 3.26X2 + 6.72X3 + 1.05X4

X1 = CA – CL / TA; X2 = RE / TA; X3 = EBIT / TA; X4 = BVE / TL

A = Very High Return / Low Risk

B = High Return / Low Risk

C = Very High Return / High Risk

D = High Return / High Risk

As of December 31, 2012

Return/Risk Tradeoffs – Distressed & High-Yield Bonds

36

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37

Italian High-Yield Bond Market

My Work with Classis Capital & Wiserfunding

Providing a Credit Market Discipline to the

Italian Mini-bond Market

Models to Assess the Risk & Return Trade-Off for

Investors & Issuers of Mini-bonds

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38

The importance of SMEs

SMEs comprise a major share of economic activity in advanced economies. They account for over

95% of enterprises, 60% of employment and over 50% of value added in the Private sector. In the

EU, SMEs have created 85% of net new jobs from 2002/2010.

After the last financial crisis, being heavily reliant on traditional bank lending, the majority of SMEs

were faced with significant financing constraints in a deleveraging environment and with restricted

credit availability from banks. Despite recent central banks’ supportive stimulus, capital market

bond financing is increasingly attractive.

Non-bank market-based financing increasingly appeared as an option to improve the flow of credit

to SMEs, while enhancing diversity and widening participation in the financial system.

Since 2012, new channels have become increasingly important for SMEs to satisfy their funding

needs. Examples of these new sources of funding are crowdfunding, P2P lending, equity

participation, securitizations, and Mini-bonds. However, in Europe, SME financing is still heavily

reliant on bank lending.

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39

What are the constraints to the success of the

Italian ExtraMOT PRO Mini-bond market?

All bond investments face three main risks (Market, Liquidity and Credit), but it is

credit risk that is perhaps most critical for relatively unknown, smaller enterprises.

Since the ExtraMOT PRO market is still quite young, there are not as yet aggregate

default and recovery statistics. We prefer, therefore, to concentrate on issuer default

& return analytics based on Italian SME experience.

The objective of our model is to help:

Italian SMEs to grow and succeed by assessing their risk profile and suggesting what

would be the best funding option for them

Lenders and investors to assess the risk-return trade offs in investing in either

individual or portfolios of Italian SME mini-bonds

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40

SME ZI-Score: Summary of Results

We segmented the Italian SMEs by industrial sectors and developed four

default prediction models for Manufacturing, Services, Retail and Real Estate

firms.

Models have been developed on a representative sample of more the 14.500

SMEs located in the north of Italy and then certified for their relevance at

national level.

Prediction power of the models is significantly high due to the use of

informative variables and appropriate techniques applied.

In addition to the Score, Firms/Analysts/Investors also receive an estimated

Bond Rating Equivalent and Probability of Default.

The SME ZI-Score improves the matching of demand and supply in the

capital markets between SMEs looking for funding options and investors.

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41

The Dataset

Initially, financial data of 15,362 active and 1,000 non-active companies were extracted from

AIDA (BvD) covering the years 2004 to 2014 (1).

Few companies (1,852) had to be dropped due to missing financial information.

The shape and size of the final development sample is reported below

(1): We thank CLASSIS Capital and ASSOLOMBARDA for supporting this research by providing Italian SMEs data

Number Percentage

Non - defaulted firms 13,990 96.4 . %

Defaulted firms 520 3.6 . %

Total 1 4 ,510 100%

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42

Sector Analysis

Sector

Serv

ices

RetailPA

Min

ing

Manuf

actu

ring

Financ

ial s

ervi

ces

Constru

ctio

ns &

RE

Agricultu

re

6000

5000

4000

3000

2000

1 000

0

Cou

nt

Defaulted

Non-defaulted

Performance

Sector

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43

Variables Selection

Consistent with a large number of studies, we choose five accounting ratio categories describing the main aspects of a company’s financial profile: liquidity, profitability, leverage, coverage and activity.

For each one of these categories, we create a number of financial ratios identified in the literature as being most successful in predicting firms’ bankruptcy and transform them in highly predictive variables

Next, we apply a statistical forward stepwise selection procedure to the selected variables and estimate the full model for each of the four sectors eliminating the least helpful covariates, one by one, until all the remaining input variables are efficient, i.e. their significance level is above the chosen critical level.

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44

The Results

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45

In order to provide additional measures of credit

worthiness, we introduce the concept of Bond

Rating Equivalents (BRE) and Probabilities of

Default (PD). Our benchmarks for determining

these two critical variables are comparisons to

the financial profiles of thousands of companies

rated by one of the major international rating

agencies (Standard & Poor’s) and the incidence of

default given a certain bond rating when the

bond was first issued. The latter is based on

updated data from E. Altman’s Mortality Rate

Approach (Altman, Journal of Finance, 1989).

The Bond Rating Equivalent

Source: Altman & Kuehne, NYU Salomon Centre, 2016

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46

Risk Profile of Mini-bond issuers (2015)

Source: Firms listed on Borsa Italiana Extra MOT, calculations by the authors

Source: Firms listed on Borsa Italiana Extra MOT, calculations by the authors

Bond Rating Equivalent # SMEs % SMEs Avg. Coupon Yield

AA 2 2% 0,057

A 4 4% 0,062

BBB 24 25% 0,065

BB 18 19% 0,055

B 31 32% 0,059

CCC 14 14% 0,065

CC 2 2% 0,030

C 2 2% 0,060

Applying our SME ZI-Score on the mini-bond issuers as of 2015, we find that:

Risk profile of SMEs doesn’t seem to influence the bond pricing;

Majority of existing mini-bond issuers classified as non-investment grade;

The risk profile of the mini-bond issuers is better (i.e. less risky) than total SME sample.

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47

Wiserfunding Ltd.: Helping Italian SMEs to

Succeed

Mission is to support small business growth by reducing information

asymmetry by providing a common set of information to all market

participants.

The SME ZI-Score should not to be used in isolation. Other factor

(e.g. debt capacity, cash flow, recovery profile, market outlook,

directors’ experience) are assessed when evaluating SMEs’ financial

strength.

We believe that by providing lenders/investors and small businesses

with the same set of information, we can help them speak the same

language.

We are working with Classis Capital, Borsa Italiana, Confindustria,

several PMI organizations and SMEs to apply our model effectively.

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MANAGING A FINANCIAL TURNAROUND:

APPLICATIONS OF THE Z-SCORE MODEL

THE GTI CASE

48

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Objectives

• To demonstrate that specific management tools which work are

available in crisis situations

• To illustrate that predictive models can be turned “inside out” and used

as internal management tools to, in effect, reverse their predictions

• To illustrate an interactive, as opposed to a passive, approach to

financial decision making

49

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Z-Score Component Definitions

Variable Definition Weighting Factor

X1

Working Capital

Total Assets 1.2

X2

Retained Earnings

Total Assets 1.4

X3

EBIT

Total Assets 3.3

X4

Market Value of Equity

Book Value of Total Liabilities 0.6

X5

Sales

Total Assets .999

50

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Z-Score Distressed Firm Predictor:

Application to GTI Corporation (1972 – 1975)

0.00

1.00

2.00

3.00

4.00

5.00

6.00

1972 1973 1974 1975

Z-Score

EPS = $0.09

EPS = $0.52

EPS = $0.19

EPS = ($1.27)

Distress

Zone

Grey

Zone

Safe

Zone

51

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Management Tools Used

• Altman’s Distressed Firm Predictor (Z-Score)

• Function / Location Matrix

• Financial Statements

• Planning Systems

• Trend Charts

52

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Strategy Reason Impact

Consolidated Locations Eliminate Underutilized

Assets

Z-Score

Drop Losing

Product Lines

Eliminate Unprofitable

Underutilized Assets

Z-Score

Reduce Debt Using

Funds Received from

Sale of Assets

Reduce Liabilities

and Total Assets

Z-Score

Managerial & Financial Restructuring

Actions and Impact on Z-Score

53

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Z-Score Distressed Firm Predictor

Application to GTI Corporation (1972 – 1984)

0.0

1.0

2.0

3.0

4.0

5.0

6.0

7.0

8.0

9.0

1972 1974 1976 1978 1980 1982 1984

Z-Score

EPS = $0.09

$0.52

$0.19

($1.27)

Distress

Zone

Grey

Zone

Safe

Zone

$0.15$0.28

($0.29)

$0.70 $0.34

$0.40

54