An inner limit is exactly that - a limit within a limit. For example, you may hold an All Risks Property / Business Interruption upto total sums insured (hypothetically say £10m) however, there will be certain elements of cover which insurers will want to cap - i.e. Denial of Access (non damage) at £1m. So if the insured is unable to access their premises for whatever reason and incur a loss - the maximum the Policy would pay out is £1m for this event.
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