Renter's insurance

Renter's insurance - from investorwords.com.
 * A type of home insurance that protects the holder against accidents, damages, and losses that occur in a rented residence. Renter's insurance provides coverage both for the insured's belongings and for liability that may result from an accident in the insured's home. Many policies cover replacement cost, meaning that the insured will receive the money necessary to purchase a new item that is equivalent to the damaged one instead of a portion of that cost adjusted for depreciation.

Links
Definitions of Renters insurance on Google