The Asset-Liability Management (ALM) deals with approaches allowing a company to manage the composition of its risky asset or underlying to be \emph{always} larger than its liabilities. Choosing a management rule is a choice under contingent uncertainty (choosing an exposition of the portfolio) and tychastic uncertainty (valid for risky returns above a forecasted lower bound). This is an example of tychastic control system under state constraint which is solved by the viability algorithm.