Which type of insurance does not protect against personal property loss?

Property damage liability insurance is designed to cover the costs associated with damage you may cause to someone else's property through your actions. This type of insurance typically applies in scenarios such as automotive accidents where you are held liable for damages to another person's vehicle or property. It does not extend to protecting your own personal property from loss or damage.

In contrast, renter's insurance provides coverage for personal belongings within a rental space, while long-term care insurance is meant to cover the costs of long-term personal care services. Mortgage insurance protects the lender’s interest in the property in the event that the mortgage holder defaults on their loan. Thus, only property damage liability insurance does not focus on safeguarding your own property against loss, making it the correct answer for this question.