This work studies Brazilian inflation indexed actuarial funds in the period ranging from January 2004 to August 2008. The focus is towards a dynamic style analysis framework, which aims at generating relevant information that would be helpful to insurance companies in deciding how better to make hedge strategies for their actuarial liabilities. The methodology is based: (1) on the construction and justification of appropriate asset class indexes for the aforementioned type of fund; and (2) on the linear state space modeling under restrictions, under the Kalman filtering techniques with exact initializations. The main conclusions taken from the empirical results are: (1) the use of exact initializations of the the Kalman recursions proves to be numerically more stable; (2) quite parsimonious models are sufficient to describe the dynamic styles of Brazilian actuarial funds; and (3) the managers of the analyzed funds have chosen, in the considered period, to allocate their assets mainly in conventional, interest-rate and inflation-indexed bonds, but adjusting their exposures to macroeconomic and financial developments, in general, and to monetary policy decisions, in particular.