principles of risk management and insurance.ppt
DESCRIPTION
risk managementTRANSCRIPT
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Risk Management
1Hurricane Katrina: Landfall August 29, 2005
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Fair Bet
• Cost Equals Expected Gain
• Cost = P * (Amount you Win)
• Example: Flipping a Coin– Cost = $10– P = .5– Amount You Win = $20
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Is This A Fair Bet?
• Flipping A Coin– Cost = $50– Amount You Win = $75
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Risk Taking Behavior
• Risk-Averse
• Risk-Neutral
• Risk-Taker (Risk-Seeker, Risk-Lover)
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Risk and Uncertainty
• Risk: A situation in which several different outcomes are possible.
• Uncertainty: The perception that several different outcomes are possible.
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Categorizing Risk
• Pure Risk v. Speculative Risk• Diversifiable Risk v. Nondiversifiable Risk• Fundamental Risks and Particular Risks
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Pure Risks v. Speculative Risks
• Speculative Risks are Usually Chosen– Stock Appreciation– Manufacturing and Selling a Product– Example: Furby
• Pure Risks are Usually a Byproduct– Automobile Accident– Sports Injury
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Diversification
• Pooling Similar Risks– INSURANCE
• Pooling Offsetting Risks– A DIVERSIFIED PORTFOLIO
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Why Reduce Uncertainty
• Individual
• Corporations
• Government
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Why Manage Risk? Individuals
• Reduce anxiety
• Planning
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Corporation
ownersemployees
suppliers
customers
government
creditors
Why Manage Risks: Corporation
(Nexus of Contracts)
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Early Historical Examplesof Risk Management
• Chinese Trading Boats
• Amish Rebuilding
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Modern Risk Management
• Prior to 1950s: Insurance Purchaser
• Risk Managers– Finance Dept., Freestanding, or
Human Resource Dept.
– Larger Companies
– Companies Facing Greater Risk
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Risk Manager: Minimize Adverse Consequences of Risk
• Avoidance
• Loss Control
• Self-Insurance
• Purchase Insurance
• Anticipate Risk
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The Decision toManufacture a Product
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Product Development: Motorcycle
• Investment: $1,000,000• Profits if there is no Loss:
$150,000• Possible Liability Losses:
– 1% Chance of $2,000,000 Loss
• Required Return on Investment: 10%
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Hiring an Employee
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Hiring an Employee: Baseball Player with Drug Addiction
• Salary: $200,000/year• Financial Contribution to Club
– $300,000 if Says Clean
– $50,000 if Uses Drugs
– Chance of Staying Clean: 50%
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Major Duties of Risk Managers
• Buy Insurance• Identify Risk• Loss Prevention and Loss Control• Contract Review• Safety Training and Education• Govt. Compliance with Safety Issues• Risk Finance• Claims Mgmt. and Litigation Support• Employee Benefits 19
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Risk Management Process
• Mission Identification
• Risk Identification
• Risk Analysis
• Consider Alternatives– Risk Control
– Risk Finance
• Implement and Monitor20
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Mission Identification
• Goal of Organization
• Goal of Risk Management Department
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Organization Goals
• Corporation: Maximize Profits
• Non-Profit Organizations
– Religious Organization
– Hospitals
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Organization Goals
• Charities– Red Cross: The
American Red Cross, a humanitarian organization led by volunteers, . . . will provide relief to victims of disasters and help people prevent, prepare for, and respond to emergencies.
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Post-Loss Objectives
• Survival of the Organization
• Continuity of Operations
• Earnings Stability
• Continued Growth
• Social Responsibility
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Pre-Loss Objectives
• Economy• Reduction in Anxiety
– Owners– Suppliers– Lenders– Customers– Govt. Agencies
• Meeting Externally Imposed Obligations• Social Responsibility
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Risk Management ProcessStep 2
Risk Identification and Analysis
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Risk Identification: Key Terms
• Hazard
• Risk Factor
• Peril
• Exposure
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Difficulties withRisk Identification
• New Laws– Examples: Building Codes, Clean Air Act
• New Discoveries– Examples: Black Lung, Second Hand Smoke
• Changing Societal Attitudes– Example: Product Liability Laws, Cigarettes
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New Laws andRisk Identification
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Sources of Risk
• Physical Environment
• Social Environment
• Political Environment
• Legal Environment
• Operational Environment
• Economic Environment
• Cognitive Environment30
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Social Environmentand Disney Co.
• Euro-Disney
• “Powder”
• Domestic Partner Benefits
• History Theme Park at Manassas
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Example
• Workplace Injury
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Categories of Exposures
• Property Exposures– Direct: Immediate Result– Indirect: Secondary Results– Example: Robbery of a Store
• Liability Exposures
• Human Resource Exposures
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Risk Identification Methods 1
• Insurance Survey
• Risk Analysis Questionnaires
• Financial Statement Analysis
• Flow Chart Method
• Systems Safety Techniques
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Risk Identification Methods 2
• Interactions with External Resources
• Interactions with other Departments
• Past Losses
• On-Site Inspections
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Accident Causation
• Human Relations View
• Engineering View
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Loss Analysis Ratios
• Severity = $Losses / # Losses
• Frequency = # Losses / # Exposures
• Expected Loss = $ Losses/ # Exposures
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Ratios Example
• Data– 1000 Restaurants– 50 Fires
• Type 1 Fires: 20, $25,000• Type 2 Fires: 30, $50,000
• Severity = [20($25,000) + 30($50,000)]/50 = $40,000• Frequency = 50 / 1000 = .05• Expected Loss = .05($40,000) = $2000
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Concerns withMeasuring Severity
• Indirect Losses– Ex: Store robbery
• Contagion– Ex: Foot-and-Mouth Disease
• Snowball Effect– Ex: Mad Cow Disease
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Contagion Example: Bil Mar
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Contagion Example: Listeria
• Chicago-based Sara Lee recalled hot dogs and deli meats produced at its Bil Mar plant in Zeeland, Michigan, after the CDC found listeria contamination in unopened packages of the products.
• Affected brand names include Ball Park, Bil Mar, Sara Lee Deli Meat and Sara Lee Home Roast.
• The states reporting listeria infections are Arizona, Connecticut, Georgia, Indiana, Iowa, Kentucky, Maryland, Massachusetts, Michigan, Minnesota, New York, Ohio, Oregon, Pennsylvania, Tennessee, Vermont and West Virginia.
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Contagion Example: Listeria
• Tainted meat – Killed 12 people– Sickened 79 others in 16 states
• 241 workers fired or layed off
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Loss Severity Measures
• Maximum Possible Loss
• Maximum Probable Loss
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Example
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Year Flights Crashes Losses
2003 2004 2005 2006 2007
5,000 5,000 5,000 5,000 5,000
10 0 4 2 0
$2,000,000 0
$1,000,000 $500,000
0
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Loss Statistics
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Mean = Oi pii
n
1freq mean = .2(.002)+.2(0)+.2(.0008)+.2(.0004)+.2(0)
= .00064
sev mean = 1016
200 000 616
250 000( , ) ( , )
= $218,750
E(L) = $140
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Loss Statistics
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S.D. =pi O i E V ii
n( )
2
1
Sev S.D. = ( )( , , )
( )( , , )
1016
200 000 218 750 2
616
250 000 218 750 2
= $26,791
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Normal Distn Severity
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Distance Prob
1 S.D. 68.2%
2 S.D. 95%
$218,750
$191,959 $245,541
$165,168 $272,332
freq = .00064 sev = $272,332 E(L)95% = $174.29
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Calculating the Mean and Std. Dev.
Number of Fires Probability
0 .1010 .2030 .4050 .2060 .10
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mean = .10(0)+.20(10)+.40(30)+.20(50)+.10(60) = 30
S.D. = sq. root [.10(0-30)(0-30) +.20(10-30)(10-30) +.40(30-30)(30-30) +.20(50-30)(50-30) +.10(60-30)(60-30)] = 18.43
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Important Distributions
• Loss Frequency Distribution
• Loss Severity Distribution
• Total Loss Distribution
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Loss Frequency Distn
Taxi Accidents N = 2000
50
Ot Pt
0/2000 .1010/2000 .2030/2000 .4050/2000 .2060/2000 .10 015.
)10(.03.)20(.025.)40(.015.)20(.005.)10(.0
1.)(
n
tAvgFreqtOtptOE
.015(2000) = 30 Accidents
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Loss Severity Distn
N = 100
Sevt Pi
$1,000 .80$2,000 .05
$10,000 .10$50,000 .05
400,4$
)05(.000,50$)10(.000,10$)05(.000,2$)80(.000,1$
1))(()(
n
i tpiSeviSevE
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Drawbacks to Useof Historical Data
• CHANGE in Process
• Insufficient Data
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Importance of Timingof Losses
• Time Value of Money
• Cash Flow Considerations
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Loss Triangles
• Predict When Losses Will Occur
• Predict Total Losses
• Highlight Trends
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Loss TriangleProduct Liability Suits
2003 2004 2005 2006 2007 2003 12 16 20 22 22 2004 16 21 26 29 2005 9 12 15 2006 8 11 2007 15
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Loss Year
Yearof
Experience(ex. Year of
Sales)
2008 = 15 x 1.337 = 20 2010 = 25 x 1.1075 = 282009 = 20 x 1.246 = 25 2011 = 28 x 1 = 28
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Development Factors
y + 1 y + 2 y + 3 y + 4 2003 1.33 1.25 1.10 1.00 2004 1.3125 1.238 1.115 2005 1.33 1.25 2006 1.375 MEAN 1.337 1.246 1.1075 1.000
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Development Period
Yearof
Experience
Examples2003, y+1 = 16/12 = 1.332003, y+2 = 20/16 = 1.25
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Loss Development: 2007 Sales Year
2007: 15 Losses
2008: 15 x 1.337 = 202009: 20 x 1.246 = 252010: 25 x 1.107 = 282011: 28 x 1.000 = 28
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Present Value CalculationDetermining Losses from 2003 Sales
Claim Made in Year
i%
Cost/Claim
PV in 2003
# Losses
Total Losses
2003 6% $10,000 $10,000 12 $120,000 2004 6% $12,000 $11,321 4 $45,284 2005 6% $14,000 $12,460 4 $49,840 2006 6% $15,000 $12,594 2 $25,188 2007 6% $18,000 $14,258 0 0 2008 6% $20,000 2009 6% $24,000 Losses 2003 Sales
$240,312
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Homework Problems
• A) Determine the Number of Fully Developed Losses for 2004, 2005, and 2006.
• B) What is the PV of Losses Arising from 2005 Sales as of 2005?
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Shapes of Different Distributions
• Medical Expenditures
• Church Fires
• Parking Tickets
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Normal Distribution
• Bell Shaped
• Two Parameters
• Easy to Use
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Property Losses
• Property Exposed to Loss
• Peril
• Financial Consequences
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Property Exposed to Loss
Real Property
Personal Property
Non-owned Property
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Non-owned Property
• Bailed Property
• Leased Property
• Property on Consignment
• Employee’s Property
• Property under Lien
• Agency Relationships
• Contingent Property64
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Perils
• Commonly Insured
• Government Insured
• Uninsurable
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Commonly Insured Perils 1
• Fire
• Lightning
• Windstorm
• Hail
• Explosion
• Smoke
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Commonly Insured Perils 2
• Aircraft & Vehicle Damage• Riot• Vandalism (Malicious Mischief)• Falling Objects• Weight of Snow, Ice, or Sleet• Water Damage• Glass Breakage• Sprinkler Leakage• Perils of Transportation• Crime Perils
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Difficult to Insure Perils
• Earth Movement
• Floods
• Nuclear Reaction
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Why Are Some Perils Uninsurable?
• Against Public Policy
• Under the Control of the Insured– Ex. Suicide
• Probability of Loss is Too High
• Simultaneous Destruction
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Generally Uninsurable Perils
• War, Terrorism, Rebellion, and Insurrection
• Intentional Losses
• Fading, Rust, Dry Rot, Settling
• Production, Marketing, and Political Risks
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Financial Consequences
• Reduction in Value• Debris Removal• Business Interruption• Contingent Business Interruption• Loss of Rental Income• Loss of Rental Value• Loss of Leasehold Interest• Inability to Reconstruct Records• Loss of Use Value in Improvements and Betterments• Demolition Costs and Increased Cost of Reconstruction
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Valuation of a Loss
• Market Value• Replacement Cost• Actual Cash Value
– (Replacement Cost - Depreciation)• Present Value of the Asset’s Contribution
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Actual Cash ValueCalculation: Building
• Purchase– Date: January 1, 1987– Price: $1,000,000– Expected Lifetime: 40 years
• Fire– Date: January 1, 2007– Replacement Cost: $2,000,000
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Actual Cash ValueCalculation: Building
• ACV = Replacement Cost - Depreciation
–As of the Time of Loss
• ACV = $1,000,000 = $2,000,000 - $1,000,000
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Present Value of the Asset’s Contribution
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Liability Loss
• Expenditure of TIMEand MONEY
• Investigate, Negotiate, Defense, Payment
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Property Losses v. Liability Losses
• Parties Involved
• Measurement of Exposure
• Changing Environment
• Tail77
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Types of Legal Liability
• Criminal– Agent– Punishments– Insurance
• Civil– Private Duties– Common Law, Statutes, Contracts
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TORT
• Wrongful Act or Omission
• Independent of Contract
• Legal Remedy: DAMAGES ($$$)
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Types of TORTS
• Intentional Torts
• Negligence
• Strict Liability
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Intentional TORTS
• Legally Protected Right
• Intentional Interference– Voluntary– Damages Reasonably Foreseen– No Valid Defense
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Intentional Torts: Defamation
• Types– Libel– Slander
• Plaintiff Must Show– False, Injurious Statement– Publication– Damages
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Defenses
• Truth
• Privilege– Absolute– Qualified
• No Malice• Not Known False• No Intent to Injure• Fair, if by news media• Covered Body
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Intentional Torts:Invasion of the Right of Privacy
• Examples– Release Confidential Information– Hidden Microphones
• Public Figures v. Private Figures
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Intentional Torts:Assault and Battery
• Assault• Battery• Defenses
– Consent– Self-Defense– Defense of Property– Defense of Others– Allowed Discipline
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The “Preppy Killer”: Consent??
'Preppie killer' headed back to prison on drug rap
NEW YORK (AP) -- New York's so-called "preppie killer" is headed back to prison.
Robert Chambers already served 15 years behind bars for strangling a woman in Central Park during what he said was rough sex.
He pleaded guilty Monday to selling drugs. The Manhattan district attorney's office says Chambers is promised 19 years and four months in prison when he is sentenced on September 2.
Chambers and his girlfriend were charged with dealing cocaine out of their Manhattan apartment in 2007.
Chambers pleaded guilty in 1988 to manslaughter in the death of 18-year-old Jennifer Levin two years earlier.
Stories portrayed him as a handsome, privileged, prep school youth gone bad.He was released from prison in 2003.
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Intentional Torts:Assorted Others
• False Arrest and Wrongful Detention
• Malicious Prosecution• Trespass• Conversion• Nuisance
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Intentional Torts: Assorted Others Continued
• Wrongful Interference with a Business Relationship– Copyright Infringement– Deception
• Bad Faith– Delaying Payment of Claims– Refusing to Pay Claims
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Negligence
• Acts of Omission
• Acts of Commission
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Elements of a Negligent Act
• Legal Duty
• Breach
• Damages
• Proximate Cause
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Damages
• Compensatory Damages– Special Damages– General Damages
• Punitive Damages
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Defenses to Negligence
• Contributory Negligence
• Comparative Negligence
• Assumption of Risk
• Statute of Limitations
• Immunities– Sovereign– Charitable Institutions– Public Officials
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Strict Liability Torts
• Abnormally Dangerous Instrumentalities
• Ultrahazardous Activities• Dangerously Defective Products• Workers Compensation Statutes• Disability Benefit Statutes• Aviation Law• Dram Shop Laws• Contractual Assumptions
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Goals of the Tort System
• Compensate
• Deter
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Tort Reform Proposals
• Modify Joint and Several Liability
• Caps on Non-Economic Damages
• Caps on Punitive Damages
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The Work Relationship
• Employer– Sets Hours– Defines and Supervises Work
• Employee– Sacrifices Time for Income– Is Told How to Work– Method of Payment Not Important to
Status• Independent Contractor
– Not an Employee– Controls Methods of Work
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Workplace Injuries
• Common Law: Negligence
• Statutory Law: Workers Compensation
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Rank Occupation Death rate/100,000 Total deaths
1 Logging workers 92.4 85
2 Aircraft pilots 92.4 109
3 Fishers and fishing workers 86.4 38
4 Structural iron and steel workers 47.0 31
5 Refuse and recyclable material collectors 43.2 35
6 Farmers and ranchers 37.5 307
7 Roofers 34.9 94
8 Electrical power line installers/repairers 30.0 36
9 Driver/sales workers and truck drivers 27.6 905
10 Taxi drivers and chauffeurs 24.2 67
America’s Most Dangerous Jobs in 2004
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Some Exceptions toWorkers Compensation
• Small Firms
• Farm Workers
• Domestic Workers
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Employers’ CommonLaw Duties
• Safe Place to Work
• Adequate Number of Competent Fellow Employees
• Provide Safe Tools and Equipment
• Warn of Inherent Dangers
• Make and Enforce Safety Rules100
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Workers Compensation
• Accident
• Arising Out of and In the Course of Employment
• Only Bodily Injury
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Workers Compensation Benefits
• Lost Wages
• Medical Care
• Body Part Payments
• Death Benefits102
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Exceptions to WC as Sole Remedy for Workplace Injury
• Assault by the Employer• Retaliatory Discharge of the Employee• Dual Capacity Doctrine• Suits by 3rd Parties
– Ex. Loss of Consortium– Ex. Consequential Injuries
• Property Damage
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Human Resource Exposures
• Loss of Personnel
• Cost of Employee Benefits
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Employee Benefits
• Attract Workers
• Retain Workers
• Retire Workers
• Encourage Productivity105
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Loss of Personnel
• Premature Death
• Disability/Poor Health
• Resign
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Premature DeathLosses that Result
• Loss of Human Life Value
• End of Life Expenses
• Emotional Grief of Survivors
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Premature DeathRisk Management Strategies
• Loss Prevention:– Medical Care– Good Health
• Life Insurance: Many are Underinsured
• Pension Plan
• Earnings of Surviving Spouse
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Estimating Human Life ValueExample: Worker 3 years from Retirement
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Year 2004 2005 2006 TOTAL
Output
50000 49000 48000
Pay
40000 38000 36000
Surplus
10000 11000 12000
PV(8%)
10000 10185 10288
30473
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Calculating Loss ofHuman Life Value
Age 62 63 64 Total
Earnings
$40,000 $40,000 $40,000
Taxes
$16,000 $16,000 $16,000
Self
$10,000 $10,000 $10,000
Family
$14,000 $14,000 $14,000
PV(8%)
$14,000 $12,963 $12,003
$38,966
Worker dies at age 61 after being paid.At the time of death 3 working years remained.
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Disability Problem
• Disability is comparatively frequent• Disability can be extremely costly• Most lost income due to disability is not
replaced• Disability insurance is confusing
– Multiple definitions of disability
• Disability insurance is subject to moral hazard– Malingering
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Risk of a 90+ Day Disability v. DeathDuring Working Years
112
Age 22 62
P(Disability)/P(Death)
7.5 2
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Risk Control
• Avoidance
• Prevention
• Reduction
• Information Management
• Some Risk Transfers
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Risk Avoidance
• Proactive Avoidance
• Abandonment
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Drawbacks to Avoidance
• Lost Benefits of Risk
• Perhaps not Possible$Government Imposed Risks$Nature of the Risk
• May Result in Worse Risks
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Important Formsof Loss Reduction
Salvage Subrogation Litigation Management Catastrophe (or Contingency)
Plans Duplication Separation
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Information Managementas Loss Control
• Customers: Enhanced Sales
• Creditors: Lower Debt Cost
• Suppliers: Better Relationships
• Owners: Greater Market Value
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Risk Transfer
• Property or Activity Transferred
• Contractually Pass the Liability“Exculpatory Contracts”
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Government andRisk Control
• Public Interest
• Efficiency
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Risk Financing:General Methods
• Retention
• Transfer
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Risk Financing: Timing
• Contemporaneous
• Prospective
• Retrospective
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Approaches to Retention
Passive or Unplanned
Active or Planned
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Retention: Funding Arrangements
• No Advance Funding
• Liability or Earmarked Accounts
• Earmarked Asset Accounts
• Captive Insurer123
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Types of Transfers
• Insurance
• Noninsurance Transfers
• Hedging
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Elements of Insurance
• Contract
• Premium
• Conditional Benefits
• Pooling of Resources
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Insurance Transaction
• Buyer Side of the Market– Risk Managers– Brokers – Consultants
• Supplier Side of the Market– Insurance Company
• Underwriters, Claims Adjusters, Agent, Actuaries
– Agent
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Noninsurance Transfers
• Do Not Satisfy Conditions to be Insurance
• Provide External Funding
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Hedging
• Taking an Offsetting Risk
• Not Possible for Many Types of Risks
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Hedging Example
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January 1: Arrange to sell chairs for $5.00Raw materials today cost $2.50/chair
June 1: Build chairs
July 1: Deliver chairs
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Hedging Example
Risk: Cost of raw materials
Options: 1. Sell chairs on a cost + basis2. Buy and hold raw materials3. Buy and have seller hold raw
materials4. Use a hedge
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“Futures” Contract
Owner of contract on Termination Date Receives the lumber
Price of contract depends ona) Cost of lumber todayb) Risk Premium
Origination Date: September 1 Termination Date: August 31.
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Hedging Contract
January 1: Buy Hedging ContractHedging Contract = $2.50 + xLumber = $2.50Risk Premium = x
June 1: Buy Lumber & Sell Futures ContractLumber = $2.50 + yFutures Contract = $2.50 + (x - z) + yChange in lumber cost = yDepreciation of risk premium = zTotal Cost = ($2.50 + x) + ($2.50 + y)
- ($2.50 + (x - z) + y)= $2.50 + z 135
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Hedging ContractNumerical Example
Origination Date: September 1 Termination Date: August 31.Original Risk Loading: 0.60
x = .40x decreases .05 per monthz = .05(5) = .25
Total Cost = $2.50 + .25 = $2.75
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Hedging Instruments for Financial Risks
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Hedging Volatility
• Volatility is a measure of risk• Some sources of volatility can be hedged
– Interest Rate– Exchange Rate– Commodity Price
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Interest Rate Volatility
• Debt is a key component of a firm’s capital structure• Interest rate hedges can stabilize borrowing costs• Some tools: forwards, futures, swaps, options
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Exchange Rate Volatility
• International businesses are exposed to exchange rate risk• Tools for managing exchange rate risk
– forwards– futures– swaps
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Commodity Price Volatility
•Costs of materials can be volatile:– Pricing becomes problematic– Sales demand becomes harder to predict
•Hedging allows for:– Better production decisions– Reduced volatility in cash flows
•Available tools (depending on the type of commodity): – Forwards– Futures– Swaps– Options
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Reducing Risk Exposure
• Hedging will not normally reduce risk completely– Typically, only price risk can be hedged not quantity risk– Reducing risk completely causes loss of potential upside
• Timing– Short-run exposure can be managed in a variety of ways– Long-run exposure almost impossible to hedge
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Forward Contracts• A contract between parties
– Agreement today on the price of the asset on the delivery date– Delivery and payment is specified for a future date
• Forward contracts are legally binding on both parties
• Positions– Long: Agrees to buy the asset on the future date– Short: Agrees to sell the asset on the future date
• Key points– Negotiated contract– No exchange of cash initially– Usually limited to large, creditworthy corporations
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Payoffs on Forward Contracts
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Hedging with Forwards
• Forward contracts can virtually eliminate price risk
• New risk created: Credit risk of the counterparty
• Forward contracts are primarily used to hedge exchange rate risk
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Futures Contracts
• Futures traded on organized securities exchanges
• Upfront cash payment: MARGIN– Small relative to the value of the contract– “Marked-to-market” on a daily basis
• Clearinghouse guarantees contract performance
• Clearinghouse and margin requirements virtually eliminate credit risk
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Hedging with Futures
• Futures contracts are standardized– Allows for trading– Exact hedging may be difficult or impossible
• Credit risk is virtually nonexistent
• Futures contracts are available on– physical assets– debt contracts– Currencies– equities
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Swaps
• A long-term agreement between two parties • Can be viewed as a series of forward contracts
• Generally limited to large creditworthy institutions or companies
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Option Contracts
• The right, but not the obligation, to buy (sell) an asset for a set price on or before a specified date
– Call – right to buy the asset– Put – right to sell the asset– Exercise or strike price –specified price– Expiration date – specified date
• Buyer has the right to exercise the option; the seller is obligated– Call – option writer is obligated to sell the asset if the option is exercised– Put – option writer is obligated to buy the asset if the option is exercised
• Options allow a firm to hedge downside risk, but still participate in upside potential
• Pay a premium for this benefit
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Payoff Profiles: Calls
Buy a call with E = $40
0
10
20
30
40
50
60
70
0 20 40 60 80 100
Stock Price
Pay
off
Sell a Call E = $40
-70
-60
-50
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-30
-20
-10
0
0 20 40 60 80 100
Stock Price
Pay
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Payoff Profiles: Puts
Buy a put with E = $40
05
1015202530354045
0 20 40 60 80 100
Stock Price
Pay
off
Sell a Put E = $40
-45
-40
-35
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-20
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-10
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0 20 40 60 80 100
Stock Price
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Retention vs. Transfer
• Ability to Bear the Loss• Cost and Effectiveness of a Transfer• Degree of Control over the Risk• Insurance Loading Fees• Additional Insurer Services• Insurance as a Signal• Opportunity Costs• Taxes
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Risk Financing Methods
• Guaranteed Cost Insurance
• Experience-Rated Insurance
• Retrospective Rating
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Guaranteed Cost Insurance
Underwriting
Premium Depends on Classification Group
Premium = (A)* (PURE PREMIUM) + B
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Pure Premium
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# cars = 10,000# losses = 250$ losses = $4.5 millionPure Premium = frequency x severityFrequency = 250 / 10,000 = 2.5%Severity = $4.5 million / 250 = $18,000Pure Premium = 2.5% (18,000) = $450A = 1.4 B = $501.4 (450) + 50 = $680
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Underwriting Considerations
• Adverse Selection
• Misclassification
• Control
• Civil Rights
• Costs of Classification
• Social Policy
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What’s Fair and WhyHealth Insurance Underwriting Factors
• Cigarette Smoking• Obesity• Age• Prior history of heart disease• Genetic Predisposition to Stomach Cancer• Gender• Race
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State Underwriting Restrictions: Health Insurance
• CALIFORNIA: Blindness, Gender, Marital Status, DES
• N. DAKOTA: Blindness, Gender, Race
• WISCONSIN: Blindness, Gender, Physical Impairment
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How Insurance WorksAn Example
Assume an individual has a 1% probability of getting cancer and incurring medical expenses of $200,000.
How much would you charge to bear this risk?
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Central Limit TheoremMean = True Mean
Law of Large NumbersIncrease sample size by N New Mean = Old Mean x N New S.D. = Old S.D. x Sq. Root of N
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How Insurance Works
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HOW INSURANCE WORKS
AN ILLUSTRATIVE EXAMPLE
Sample Size = 1,000
Mean = 10
S.D. = 2
Loss per claim = $200,000 S.D. Prob.
1 68.27
2 95.45
3 99.73
4 6 8 10 12 14 16
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For 99.73% survival prob. insurer will charge: 16 x $200,000 = $3,200
1,000
Increase sample size to 100,000 (100x)Mean # of Losses = 10 x 100 = 1,000S.D. = 2 x sqroot (100) = 20
Now for 99.73% survival prob. insurer will charge: 1060 x $200,000 = $2,120
100,000
HOW INSURANCE WORKSAN ILLUSTRATIVE EXAMPLE
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Requirements of anInsurable Risk
1. Large Number of Homogenous Exposure Units2. Accidental3. Determinable and Measurable4. No Simultaneous Destruction5. Probability Calculable and Not Too High
suicide, space shuttle, mental illness, war, early flight and computers, terminally ill
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Social and EconomicValue of Insurance
• Stability
• Indemnification
• Reduction in Reserve Funds
• Insurers’ Ability to Invest
• Satisfies Financial Requirements
• Specialization in Loss Prevention
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Social Costs of Insurance
• Insurers’ Operating Costs
• Moral Hazard
• Exaggeration of Losses
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Cheating with Insurance
• Insurer– Failure to Honor the Contract– Misleading Contracts– False Advertising– Inappropriate Sales
• Insured– Fraud
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Controlling Cheating
• Litigation
• Regulation
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LitigationRequirements of an Insurable Contract
• Offer and Acceptance
• Consideration
• Competent Parties
• Legal Purpose
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LitigationLegal Principles: Indemnity
• Valuation– Property: ACV– Liability: Actual Damages
• Apparent Exceptions– Valued Policies– Replacement Cost Insurance– Life Insurance
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Actual Cash Value Example
ACV = Replacement Cost – Depreciation
1/1/04: Buy Machine for $3,000, 10 year life 1/1/06: Fire Destroys Machine; New Machine
Costs $10,000
ACV = $10,000 - $2,000 = $8,000
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LitigationPrinciple of Insurable Interest
• Property and Liability: Time of Loss– Ownership– Potential Legal Liability– Secured Creditors
• Life Insurance: Time of Policy Purchase– Close Ties: Love, Blood, Marriage– Pecuniary Interest
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LitigationPrinciple of Subrogation
• Prevents Double Indemnification
• Holds Down Insurance Costs
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LitigationPrinciple of Utmost Good Faith
• Representations
• Concealment
• Warranty
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Is It Material?
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Why Is Insurance Regulated?
• Advance Payment of Premiums
• Complexity of Transaction
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Types of Regulation
• Licensing• Solvency• Rate Approval• Agents’ Activities• Insurance Contracts
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Insolvency: Major Reasons
• Bad Management• Poor Underwriting• Inadequate Reserves• Bad Investing• Inattentive to Loss Prevention• Competitive Pressures
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Danger of Insolvency
• Most Insurers are Very Solid• 100+ Years
– 71 Life Insurers– 200 Property and Liability Insurers
• Guaranty Funds• Buyout of Failing Firms
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Premium Regulation
• Adequate
• Fair
• Reasonable
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Methods of Rate Regulation
• Prior Approval
• File and Use
• Open Competition
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Advantages of Open Competition
• Flexibility• Increased Availability of Insurance • Avoid Political Fights• Frees Time of Regulators
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Disadvantages of Open Competition
• Price Gouging (?)
• Risk of Insolvency (?)
• Fair (?)
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Regulation of Agents’ Activities
• Licensing
• Prohibited Acts– Twisting– Rebating
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Causes of InsuranceMarket Failure
• Adverse Selection• Individuals Underestimate
the Loss Potential• Insurance Costs Too Much• Pooling Not Possible• Insurers Can Not Estimate
the Loss Potential
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THE END
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