In a two-party negotiation, if both parties have complete and accurate information about each other's minimum acceptable outcomes, the final agreed-upon price will always be exactly halfway between their two reservation points.

An insurance company uses historical city-wide data, which shows a 5% annual probability of bicycle theft, to calculate a premium for a new bicycle insurance policy. After one year, they find the actual theft rate among their policyholders was 8%, leading to significantly lower-than-expected profits. Which of the following best explains the discrepancy between the expected and actual theft rates?

E-Scooter Insurance Profitability Analysis

Insurer's Profit Calculation with Behavioral Change

Critique of an Insurer's Profit Projection Model

An insurance company is developing a new policy for expensive headphones. Match each term related to their profit calculation with its correct description, considering that a policyholder's behavior might change after they are insured.

When calculating the expected payoff for a new insurance policy, an insurer can accurately use the historical average loss probability for the general population because this represents the most reliable data available.

Insurer's Profit Projection vs. Reality

Profit Miscalculation Due to Behavioral Shifts

An insurance company offers a policy for a smartphone valued at $1,000. Based on data for the general population, the company assumes a 2% probability of the phone being lost or stolen and sets a premium of $70 for one year of coverage. However, after purchasing the insurance, policyholders as a group become less careful, and the actual probability of a claim rises to 5%. What is the insurer's actual average expected payoff per policy?