Algorithms for handling CVaR constraints in dynamic stochastic programming models with applications to finance

ABSTRACT We propose dual decomposition and solution schemes for multistage CVaRconstrained problems. These schemes meet the need for handling multiple CVaR constraints for different time frames and at different confidence levels. Hence they allow shaping distributions according to the decisionmaker’s preferences. With minor modifications, the proposed schemes can be used to decompose further types of risk constraints in dynamic portfolio management problems. We consider integrated chance constraints, secondorder stochastic dominance constraints and constraints involving a special value of information risk measure.We also suggest an application to further financial problems. We propose a dynamic risk-constrained optimization model for option pricing. Moreover, we propose special mid-term constraints for use in asset liability management.