The correct endorsement is non-owned automobile coverage. This endorsement is used when the insured may have legal responsibility for an automobile they do not own, such as a rented or leased vehicle. When the insured signs a rental agreement, they commonly assume contractual responsibility for physical damage to the rented vehicle. A non-owned automobile endorsement can extend coverage to that exposure, subject to the wording, limits, exclusions, and applicable conditions. Loss of use coverage is different; it addresses expenses arising when the insured cannot use a vehicle after a covered loss, such as rental replacement costs. Agreed value coverage is used to establish a pre-agreed settlement value for certain vehicles, often collector or specialty vehicles. Loss of or damage to insured automobile refers to coverage for vehicles actually insured under the policy, not rented vehicles owned by another party. Brokers must ask about rental vehicles and contractual obligations because clients often rely incorrectly on ordinary auto coverage without checking whether hired or rented automobile damage is included. References/topics: Automobile Insurance; non-owned automobile endorsement, rented vehicles, contractual responsibility, physical damage coverage.