nonconcurrency
The condition created by two or more policies covering the same loss exposure
that do not have identical inception and expiration dates. Nonconcurrency of
an insured's umbrella policies and the liability policies required by the umbrella
as underlying insurance is a problem because the nonconcurrent policy terms
make it possible for a loss under an underlying policy's annual aggregate limit
to use up part of the limit required by the umbrella and thus violate its underlying
limits requirement.
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CLI XI.J