Topic 7: Market Failures to Managing Risk, Risk Pooling+Optimal Risk Pools

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Last updated 4:45 AM on 3/19/26
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30 Terms

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Risk Pools

-Need to be large and homogeneous

-COV will continue to decrease until it comes close to 0

-As the risk pool gets larger and larger the risk faced by the insurer falls and approaches zero

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Insurance Definition

a device that:

-pools exposures to loss of individuals/firms into a group

-uses funds paid by members of the group (premiums) to pay for losses as they occur

-Group is engaged in a loss/risk sharing engagement

Wealth transfer using loss premiums (refund of premium to the people with losses) and no loss premiums (using the premiums of people without a loss to support those with a loss)

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Income/Wealth Transfer in Risk Pool

All risk pools shift money around

Income transfer is from those who do not have a loss to those who do have a loss

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Heterogeneous Pool

Income transfer is from those who do not have a loss to the who do have loss

Low risk individuals to high risk individuals

Pools are not perfect

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Social Security

Largest risk pool ion the US (heterogenous)

This has an intergenerational risk/wealth transfer

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Why do firms/individuals buy insurance? What is the commodity purchased?

-Certainty

-Peace of mind

-Security

-Enhances credit worthiness

-Protection of assets

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Insurance involves:

Pool and transfer, transfers from the Insured to the Insurers

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How/why is the insurance company able to accept risk transfer?

Obtain lots of data, info is power?

Predictions more accurate=less risk

Insurance company invests money until they pay claims

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Insurance contract- Idemnification

Insurer agrees to idemnify the insured in the event of a covered loss

-Idemnify=to compensate

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Full Idemnification

All losses paid no matter how big or small

Place the insured in the same financial position after the loss

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Partial idemnification

Cost sharing and partial insurance

Ex. deductible/copay/coinsurance

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Forms of idemnification

-Replace/repair asset

-Cash-reimbure of pay $

-Provide services (ex attorney-liability)

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Principle of Idemnity

insurance will pay no more or less than the actual cash value (ACV)

Limit the 'amount of recovery' to no more than ACV

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ACV formula

Replacement cost (RC) - Depreciation = ACV

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purpose of principle of indemnity

To control moral hazard, prevent insured from making a profit

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Violations of idemnity

Life insurance

Insurance for rare items (antique cars, artwork)

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Insurance supply

insurers are willing to sell insurance at a particular price

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Insurance demand

Pi

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Why might Pi > Pmax?

-EL too high

-P* is too high

-risk charge is too high

-loading costs are too high

Pmax is too low

-individuals underestimate the severity or frequency of the loss

-moral hazard created by disaster relief (floods)

---where insurance like benefits exist

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Five Characteristics of Insurable Risk

Large number of similar objects

Losses are accidental or unintentional

Losses can be determined and measured

Losses not catastrophic to insurer

Large loss principle

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Large number of similar objects

- Life Insurance

- Automobiles

- Nature of Objects similar so reliable statistics can be formed is key

- Also need to be concerned with adverse selection

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Losses are accidental or unintentional

-need to be fortuitous in nature

-must be some uncertainty or no risk

-insured should have no control over increasing frequency or severity

-must be accidental

-avoid moral hazard & gambling

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Losses can be determined and measured

Did loss occur?

-not always easy for insurer to determine (ex. harassment)

What are losses?

-how do we measure "pain & suffering"?

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Losses are not catastrophic to insurer

When one random event results in many many losses (earthquake, flood, hurricane)

Creates risk of insolvency

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Large loss principle

Max possible loss needs to be sufficient (do not insure small things!)

Small losses paid through savings

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Insurance Contract issues

Misrepresentation(lie)

Concealment (not providing all relevant info)

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Principle of Subrogation

substitution of the insurer in place of the insured for the purpose of claiming indemnity from a third party for a loss covered by insurance

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Public policy issue 1- Terrorism

Introduction of TRIA 2002

Insurance companies absorb some risk

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Public policy issue 2- Flood

Insurance company does NOT bare any risk

gov. funded (gov accepts risk)

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1) Homogeneous Risk Pool

Income transfer is from those who do not have loss to those who do have a loss

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