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Document Details :

Title: Stochastic Pension Funding: Proportional Control and Bilinear Processes
Author(s): BÉDARD, D.
Journal: ASTIN Bulletin
Volume: 29    Issue: 2   Date: November 1999   
Pages: 271-294
DOI: 10.2143/AST.29.2.504615

Abstract :
In this paper, we find explicit expressions for the moments of the fund level and the value of the total contribution when arithmetic or geometric rates of return are modeled by a moving average process of order q and when a proportional control is applied to the contributions. Our approach is based on the bilinear Markovian representation.