Master’s thesis shall be dedicated to introduction of actuarial methods used in reisurance contracts pricing. In the first part(s) of the thesis, introduction to reinsurance business, aim, purpose, scope, history and motivation shall be described. Then, logic of underlying simple reisurance contracts shall be corroborated, with focus mainly on correct calculation of ceded and retained participations of theoretical incurred loss. The key contribution of theoretical part of the thesis shall be detailed description of acturial methods of pricing such contracts. Starting with simple burning costs (BC) method for simple per risk excess of loss contracts to probabilistic methods based on collective risk model. If feasible, exposure methods as an alternative way of pricing can be briefly introduced. Practical part of the thesis shall be based on implementation of pricing methods. Student shall choose relevant mathematical software (e.g. Excel plus R or Matlab), go through usual renewal submission data that is received when requesting pricing, prepare basic presentation of the simple reinsurance program, fit and model losses based on historical claims data, implement functions to price the program based on simulations (and determine why simulations are the only possible way for pricing) and discuss obtained results. Huge advantage is to discuss the process of writing the thesis and simulated results with experienced person in pricing. English shall be set to thesis language because of international impact and beause many terms in English do not have equivalent terms in Czech or Slovak.