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Model Failures: Lessons to be Learned Prepared by: John Herzfeld, FCAS, MAAA Milliman, Inc.

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Page 1: Model Failures: Lessons to be Learned · The Tacoma Narrows Bridge. 11 The Tacoma Narrows Bridge. 12 The Tacoma Narrows Bridge. 13 Reliance Insurance Company •Principal rating agency

Model Failures:

Lessons to be Learned

Prepared by: John Herzfeld, FCAS, MAAAMilliman, Inc.

Page 2: Model Failures: Lessons to be Learned · The Tacoma Narrows Bridge. 11 The Tacoma Narrows Bridge. 12 The Tacoma Narrows Bridge. 13 Reliance Insurance Company •Principal rating agency

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Page 3: Model Failures: Lessons to be Learned · The Tacoma Narrows Bridge. 11 The Tacoma Narrows Bridge. 12 The Tacoma Narrows Bridge. 13 Reliance Insurance Company •Principal rating agency

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Human judgment in actuarial modeling

§ Model selection and fitting

§ Model testing

§ Communication of model results

Almost everything an actuary does involves models

Page 4: Model Failures: Lessons to be Learned · The Tacoma Narrows Bridge. 11 The Tacoma Narrows Bridge. 12 The Tacoma Narrows Bridge. 13 Reliance Insurance Company •Principal rating agency

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The human element introduces dangers

Overconfidence Gaming the System

Falling in Love with the Model

Page 5: Model Failures: Lessons to be Learned · The Tacoma Narrows Bridge. 11 The Tacoma Narrows Bridge. 12 The Tacoma Narrows Bridge. 13 Reliance Insurance Company •Principal rating agency

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The 2007-2008 Financial Crisis

Local Banks,Local Risk

Mortgage “Originators”

&Securitization

Gaming of Rating

Agencies’ Models

Misplaced incentives everywhere

Page 6: Model Failures: Lessons to be Learned · The Tacoma Narrows Bridge. 11 The Tacoma Narrows Bridge. 12 The Tacoma Narrows Bridge. 13 Reliance Insurance Company •Principal rating agency

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The 2007-2008 Financial Crisis

“The Wall Street firms learned how to massage these models, change one or two little inputs and then get a better rating as a result. They learned how to game the rating agency’s models so that they could put lesser quality bonds in these portfolios, still get a high rating, and then sell the junk that they might not otherwise have been able to sell.”

—Gretchen Morgenson, (New York Times reporter), “Examining Goldman Sachs,” NPR interview in Fresh Air, May 4, 2010

Page 7: Model Failures: Lessons to be Learned · The Tacoma Narrows Bridge. 11 The Tacoma Narrows Bridge. 12 The Tacoma Narrows Bridge. 13 Reliance Insurance Company •Principal rating agency

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Weather Models

Once in 100

years

1% chance per year

Page 8: Model Failures: Lessons to be Learned · The Tacoma Narrows Bridge. 11 The Tacoma Narrows Bridge. 12 The Tacoma Narrows Bridge. 13 Reliance Insurance Company •Principal rating agency

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Weather Models

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Weather Models

Extreme events are not as “extreme” as we think

Real-life distributions are “thick in the tail”

Chances of a 1000-year flood occurring in an individual’s lifespan? Over 5%

Page 10: Model Failures: Lessons to be Learned · The Tacoma Narrows Bridge. 11 The Tacoma Narrows Bridge. 12 The Tacoma Narrows Bridge. 13 Reliance Insurance Company •Principal rating agency

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The Tacoma Narrows Bridge

Page 11: Model Failures: Lessons to be Learned · The Tacoma Narrows Bridge. 11 The Tacoma Narrows Bridge. 12 The Tacoma Narrows Bridge. 13 Reliance Insurance Company •Principal rating agency

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The Tacoma Narrows Bridge

Page 12: Model Failures: Lessons to be Learned · The Tacoma Narrows Bridge. 11 The Tacoma Narrows Bridge. 12 The Tacoma Narrows Bridge. 13 Reliance Insurance Company •Principal rating agency

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The Tacoma Narrows Bridge

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Reliance Insurance Company

• Principal rating agency for licensed Property Casualty Insurers in the US

A.M. Best

• One of the oldest insurers in the United States

Reliance Insurance Company

Page 14: Model Failures: Lessons to be Learned · The Tacoma Narrows Bridge. 11 The Tacoma Narrows Bridge. 12 The Tacoma Narrows Bridge. 13 Reliance Insurance Company •Principal rating agency

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Reliance Insurance CompanyThe company was “A-” rated in June 2000

when it stopped writing new business

In August 2000 the rating was lowered to “C”

In January 2001 the rating was “E”

Reliance was bankrupt in early 2001

Page 15: Model Failures: Lessons to be Learned · The Tacoma Narrows Bridge. 11 The Tacoma Narrows Bridge. 12 The Tacoma Narrows Bridge. 13 Reliance Insurance Company •Principal rating agency

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Conclusions

Incentives Matter

Strive for Clarity

Model Failure is a Learning Opportunity

Page 16: Model Failures: Lessons to be Learned · The Tacoma Narrows Bridge. 11 The Tacoma Narrows Bridge. 12 The Tacoma Narrows Bridge. 13 Reliance Insurance Company •Principal rating agency

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Thank You

John HerzfeldMilliman, Inc.201 Edgewater DriveSuite 289Wakefield, MA 01880USA

+1 781 213 6261

[email protected]