With regard to asset liability management (ALM), the future evolution of the interest rate market plays a major role. This is natural, as with a deterministic evolution of the interest rate (in fact, only in a deterministic setting we could speak of the interest rate!), interest rate risk would not play a role in ALM. However, as the main objective of ALM is to relate payments occurring at
... [Show full abstract] dif-ferent times in a suitable way, especially when the time horizon is large, assum-ing a deterministic interest rate evolution is absolutely inappropriate. Thus, finding a good model for the evolution of the term structure of interest rates is one of the main obstacles to overcome for successful ALM.