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A publicação pode ser exportada nos seguintes formatos: referência da APA (American Psychological Association), referência do IEEE (Institute of Electrical and Electronics Engineers), BibTeX e RIS.

Exportar Referência (APA) 
Ferreira, M. A. M. & Filipe, J. (2021). Addressing reserves and pension funds through gambler’s ruin and generalized Brownian motion process. In Manuel Alberto M. Ferreira (Ed.), Recent advances in mathematical research and computer science. (pp. 15-24). Hooghly: Book Publisher International.
Exportar Referência (IEEE) 
M. A. Ferreira and J. A. Filipe,  "Addressing reserves and pension funds through gambler’s ruin and generalized Brownian motion process", in Recent advances in mathematical research and computer science, Manuel Alberto M. Ferreira, Ed., Hooghly, Book Publisher International, 2021, vol. 4, pp. 15-24
Exportar BibTeX 
@incollection{ferreira2021_1714686632494,
	author = "Ferreira, M. A. M. and Filipe, J.",
	title = "Addressing reserves and pension funds through gambler’s ruin and generalized Brownian motion process",
	chapter = "",
	booktitle = "Recent advances in mathematical research and computer science",
	year = "2021",
	volume = "4",
	series = "",
	edition = "",
	pages = "15-15",
	publisher = "Book Publisher International",
	address = "Hooghly",
	url = "https://stm.bookpi.org/RAMRCS-V4/issue/view/462"
}
Exportar RIS 
TY  - CHAP
TI  - Addressing reserves and pension funds through gambler’s ruin and generalized Brownian motion process
T2  - Recent advances in mathematical research and computer science
VL  - 4
AU  - Ferreira, M. A. M.
AU  - Filipe, J.
PY  - 2021
SP  - 15-24
DO  - /10.9734/bpi/ramrcs/v4/14551D
CY  - Hooghly
UR  - https://stm.bookpi.org/RAMRCS-V4/issue/view/462
AB  - We used the random walk to model the problem of reserves. The classic case of a stochastic process is the example of random walks, which are used to study a set of phenomena and, particularly, as in this article, to study models of reserves evolution. Random walks also allow the construction of significant complex systems and are used as an instrument of analysis, being used in this study for giving a theoretical characteristic to specific types of systems. Our goal is mainly to study reserves to see how to ensure that pension funds are sustainable. This paper, by covering a classic approach to the study of pension funds, makes possible to draw interesting conclusions about the problem of reserves. We also consider the Brownian motion to model the pensions fund assets and liability management politics. In this context, it was possible to obtain expressions for the expected value of the pensions fund perpetual maintenance cost present value, also for the expected value of the maintenance cost up to time t, indicators of a fund maintenance policy expenditures.
ER  -