“…The study of both types of pension plans from the dynamic point of view has been widely discussed in the literature because a great share of the financial operations made in the market by the financial institutions are due to the pension fund activities. See, cf., Boulier et al [1], Vigna and Haberman [2], Haberman and Vigna [3], Deelstra et al [4,5], Battocchio and Menoncin [6], in defined-contribution pension funds, Haberman and Sung [7], Chang [8], Haberman et al [9], Taylor [10], Chang et al [11] and Josa-Fombellida and Rincón-Zapatero [12,13], in defined-benefit pension funds, and Cairns [14], in both types of plans. These papers use the general problem of optimal portfolio in continuous time initially treated in Merton [15,16].…”