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Minimum and deposit premium is a mode of premium calculation and payment in the non- proportional treaty i.e the excess of loss treaty. However in such treaty premium paid in advance at the inception date of the treaty and considers as minimum payment due to excess of loss treaty's reinsurers and subject to adjustment at the end of the treaty period which is usually a year.
For more clarification the minimum and deposit premium may increase or remain the same depending on the final adjustment , but in any cases does not decrease.
Regards.