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.

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?