security orders 6 di the information concerning the holder and the number of securities 6 n involved collecting agent server 4 compares by means of a comparator 4 c confidential code 6 c which it sent to security holder 6 before he transmits his decisions or instructions to the code received by collecting agent 3 and depository 5 the equivalence of these two codes received to the one generated by the centralizing unit enables security trades 6 di to be executed by taking into consideration decisions or instructions 6 v and personal identifiers 6 i security orders 6 di security orders 6 di and the number of securities 6 n held 0064 fig2 is a representation of the case of a bearer security holder and the nature and the flow of various information which is exchanged between a holder and the various servers and which is necessary for taking into consideration the decisions or the instructions of the holder during a security trade the main feature of the invention is emphasized here it involves the fact that the holder of securities in particular bearer securities is enabled to transmit decisions or instructions via an internet type computer communication network directly to the centralizing unit in response to an offer this transmission precedes and duplicates the security orders that are transmitted to the depository institutions the method consists of accelerating the chain of transmission for information and of making it secure by duplicating for decisions or instructions 7 v security orders 7 di and the number of securities 7 n held by bearer security holder 7 and transmitted by one or several depositories 5 in the proposed version bearer security holder 7 holds a certain.