期刊
APPLIED MATHEMATICS AND COMPUTATION
卷 349, 期 -, 页码 221-244出版社
ELSEVIER SCIENCE INC
DOI: 10.1016/j.amc.2018.12.044
关键词
Minimum-cost insured portfolio; Riesz spaces; Positive bases
In this work we propose an algorithmic process that finds the minimum-cost insured portfolio in the case where the space of marketed securities is a subspace of C[a, b]. This process uses, effectively, the theory of positive bases in Riesz spaces and does not require the presence of linear programming methods. The key for finding the minimum-cost insured portfolio is the existence of a positive basis. Until know, we could check, under a rather complicated procedure, the existence of a positive basis in a prescribed interval [a, b]. In this paper we propose a heuristic method for computing appropriate intervals [a, b], so that the existence of a positive basis is guaranteed. All the proposed algorithmic processes are followed by appropriate Matlab code. (C) 2018 Elsevier Inc. All rights reserved.
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