FIN 3305 Exam 2 Flashcards
Describe Risk Transfer by Insurance
- Risk transfer by insurance is a financial intermediation device in which individuals or entities (insureds) transfer a risk of loss to another party (the insurer) in exchange for a payment less than the expected loss (premium)
- And the insurer combines or pools the risks together
What value does insurance provide? (6 values)
- Less need for individuals/firms to fully pre-fund losses (reserve) (without insurance, we would need to save large amounts for eventual losses)
- Because reserves are lower, more capital is available for investment
- Reduced cost of capital due to increased capital flows
- Having insurance lowers an insured’s credit risk
- Insurers incentivize loss control (via premium discounts, warranties, etc.)
- Creates stability in society by preserving wealth and preventing bankruptcy
Define Risk Pooling (loss sharing)
- Sharing of losses by large number of those exposed to a risk
- Insurer acts as intermediary in assembling a pool of risks
- Money collected from all is used to cover financial losses of the few who suffer loss
- Effect is reduction of risk of loss for individual members in the risk pool
Risk reduction through pooling: The independent losses case
- Weighted average “(probability)(dollar amount)” to determine the “Expected Loss”
- Calculate variance
- Standard Deviation = square root of variance
Describe what happens to expected loss and standard deviation whenever risk is pooled.
- Expected loss remains the same ($500); Pooling does not change the expected payout
- Standard deviation went down (from 1000 to 707); Pooling makes outcomes per person more predictable for the insurer (Don’t know which insureds will suffer loss, but the overall loss in predictable)
What happens if the numbers of people in the pool increases infinitely?
Standard Deviation would approach 0
- Low of large numbers
- The greater the number of exposures, the more closely will actual results approach probable results expected from an infinite number of exposures
- As a sample of observations increases in size, the relative variation around the mean decreases
- The probability distribution of losses per person would approach the normal distribution
- While there is substantial variability in losses at the individual loss exposure level, once the risks are pooled together, the risk to the insurer, as shown by this reduced variability, is reduced
- Pooling and law of large numbers allows more accurate prediction of, and pricing for, losses due to risks
What are the parameters for the law of large numbers to be effective?
- Loss exposures must have approximately the same probability of loss
- Loss exposures must be independent
Describe the first parameter of the law of large numbers (Same probability of loss)
Who in an insurance firm carries out this process?
- Risk Classification (underwriting) - Insurers sort risk exposures into classes based on probability of loss
- Common Classes - Age, gender, health status, location, building use
- Classification depends on information: application, government records, wearables
What is the goal of risk classification?
The goal of risk classification is to avoid adverse selection
What is adverse selection?
- Tendency of persons or entities with higher-than-expected losses to seek insurance at the price charged to those with average losses
- Problem is insureds often have superior knowledge about risk exposure than the insured
What are some ways adverse selection is avoided?
- Exclusions for coverage of intentional actions
- Suicide
- Criminal behavior - Comprehensive information gathering
- application questions
- other sources: credit, driving, medical records - Avoiding or adjusting for inadvertent incentives
- more lenient underwriting standards for certain
conditions than competition
Independent Loss Exposures: What is the issue with positive correlation?
- The magnitude of risk reduction due to pooling is lower when losses are positively correlated
Are losses positively correlated?
- common root cause (illness, natural disaster)
- Common factors (inflation)
There is zero risk reduction if losses are perfectly positively correlated
What effect does diversification have on independent loss exposures?
Diversification helps reduce correlation and increase independence of losses
- Diversification means selecting risks that are unlikely to share many of the same characteristics. Factors like geography, profession, and business activities are examples of distinctive characteristics
- There is some tension between the concept of selecting risks with the same probability of loss and diversification. The relevant factors may change depending upon the characteristics most significant to the potential loss.
Characteristics of the Ideal Insurable Risk
- The number of similar exposure units is large, and each is independent of any other (law of large numbers)
- The losses that occur are accidental or by chance (fortuitous losses)
- A catastrophic loss cannot occur (terrorism, pandemic)
- Losses are definite in time and measurable in loss size (pain and suffering damages, punitive damages in liability insurance)
- Severity of losses should be high compared to frequency (tendency to retain low severity losses eg. broken windows)
- The cost of coverage is economically feasible to provide and buy
What are the four key insurance principles?
- Indemnity
- Insurable interest
- Subrogation
- Utmost good faith
Indemnity Contract
The principle of indemnity means that the insurer agrees to pay no more or no less than the actual loss of the insured
What concepts support indemnity?
Insurable interest, subrogation, actual cash value provision, “other insurance” provision
Describe “Actual Cash Value”
- Typical property insurance allows the insured to recover “the actual cash value, not to exceed the replacement value”
- Actual cash value is equal to replacement cost minus physical depreciation, including obsolescence (ex. damage to a 10 year old roof would have a cash value equal to the replacement value of the roof minus 10 years of value due to normal wear and tear)
- Actual cash value can also incorporate “fair market value” (Cars)
- Many policies offer replacement cost for a higher premium
Describe “Other insurance provision”
A provision in the insurance contract describing how coverage will be prorated or applied if there is other coverage available for the loss
Insurable Interst
A financial interest in the life or property of insured
Property
- owner, lessor, creditor
Life
- your life, life of an immediate family member, creditor,
employer, business relationship
Time of Insurable Interest
Property: At the time of loss
Life: At the inception of the policy
Amount of Insurable Interest
Property: Up to the amount of the insured’s financial interest
Life: A valued policy - the value is agreed upon ahead of time by the parties since difficult to determine
Subrogation
The insurer has the right to assume any claim the insured has against a third party to recover a loss
(insurer “steps into the shoes” of the insured for purposes of recovering any loss from a third party)
Utmost Good Faith (uberriame fidei)
Both parties to an insurance contract are expected to act with the utmost good faith
- Most other contracts require only “good faith”
- Arose from the inequality of available information to the
insurance parties
Originally, statements of insured seeking coverage were treated as warranties - if not strictly true, the coverage could be voided
- present standard is that statements of the insured are
representations
- misrepresentation or concealment of a material fact can
cause the. contract to be voidable by the insurer
(smoking status, location of vehicles)
- certain warranties in property insurance are still
enforceable (existence of burglar alarms, sprinklers)