The aim of this research article is to assess the usefulness of survival analysis methods with respect to the response of individual clients to increase in the fees charged by bank for account maintenance. The analysis was carried out with the use of survival tables, Kaplan-Meier method and Cox proportional hazards model. These methods allowed in particular to assess the proportion of bank customers that accept further increases in account fees and to estimate the risk of losing customers when crossing subsequent thresholds of charges. It was found that between groups of customers declaring different levels of loyalty the survival functions there is a statistically significant difference. The estimated Cox proportional hazards models allowed to quantify and compare the risk of losing clients with different levels of loyalty as a result of increase in fees charged by the bank.