This article is related to obtaining methods for calculating the net-premium for franchise insurance certificate without taking into consideration life insurance. The theoretical foundations of such actuarial expectations are revealed, methods for calculating the mathematical expectation of a random value of insurer's loss from an event insured according to the franchise insurance certificate for gamma and logarithmically normal distributions of a random value of losses are presented, methods for statistical estimation of the mathematical expectation of a random value of the insurer's loss from an event insured in the presence of franchise insurance certificate are described in the article. The author comes to the conclusion that the obtained statistical estimation methods allow us to calculate net-premiums based on historical data without involving any known probabilistic distribution of a random value of loss from analytically specified event insured.