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We used the random walk to model the problem of reserves. The classic case ofa stochastic process is the example of random walks, which are used to study aset of phenomena and, particularly, as in this article, models of reservesevolution. Random walks also allow the construction of significant complexsystems and are also used as an instrument of analysis, being used in the senseof giving a theoretical characteristic to other types of systems. Our goal isprimarily to study reserves to see how to ensure that pension funds aresustainable. This classic approach to the study of pension funds makes possibleto draw interesting conclusions about the problem of reserves.

Gambler ruin random walks and brownian motions in reserves modeling, application to pensions funds sustainability