Which of the following supplementary payments may be covered by the insurer?

The correct choice highlights that expenses incurred at the request of the insurer are indeed considered supplementary payments that may be covered by the insurer. In insurance contexts, supplementary payments are additional benefits provided beyond the policy's standard limits and coverage. These payments are typically aimed at aiding the insured in managing costs associated with the claim and ensuring proper defense.

When an insurer requests specific expenses, such as legal fees or investigation costs, it’s essential for the insurer to cover these to ensure a comprehensive defense and support for the insured’s interests. This can include costs like court filing fees, expert witness fees, and other expenses directly related to handling a claim or legal defense.

In contrast, punitive damages are typically not covered under standard insurance policies because they are considered penalties meant to punish wrongdoers rather than compensation for losses. Similarly, fines imposed as a result of a legal judgment are generally not covered, as they do not arise from injury or damage caused by the insured’s actions, but rather serve as consequences levied by the court. Payments for lost wages without a specified limit can also exceed the coverage provided, as typical policies might not include wage loss without specific provisions. Thus, focusing on expenses requested by the insurer aligns with the purpose of supplementary payments in insurance contracts.