What term refers to other insurance that is written on the same risk but not on the same coverage basis?

The term that refers to insurance written on the same risk but not on the same coverage basis is nonconcurrency. Nonconcurrency occurs when different insurance policies provide coverage for the same property or risk but do so under different terms, conditions, or limits. This might lead to potential gaps in coverage or overlapping protections, as each policy may respond differently to claims.

In insurance practice, it is crucial to be aware of whether policies are concurrent or nonconcurrent to ensure that adequate coverage is in place and that there are no unintended exclusions or redundancies. The concept of nonconcurrency highlights the importance of coordinating coverage and understanding the specifics of each policy to avoid gaps.

Other terms like overlap coverage and duplicate coverage suggest that there is redundancy or that two or more policies provide similar coverage rather than the distinct terms associated with nonconcurrency. Concurrence, on the other hand, indicates that multiple insurance policies are covering the same risk under the same terms, which is the opposite of nonconcurrency. Thus, nonconcurrency is the correct term in this context.