Asset Liability Management has gradually become a critical routine in the risk management department for financial institutions. This paper tries to capture the tremendous development in ALM study with a rough overview ALM techniques and modeling. Focusing on the stochastic control theory, this paper conducts an empirical analysis on an innovative approach initially brought up by Pelsser and Laeven(2011) to find the optimal investment and dividend policy for insurance companies taking unhedgeable risk into consideration. The pricing of unhedgeable insurance risk is also verified by a sensitivity analysis on the model.