Multi-objective hedging model with the third central moment and the capital budget

The third central moment and the capital budget are two important factors in designing the optimal hedge strategy. This paper investigates the problem of futures hedging under the third central moment and the capital budget. Based on the multi-objective programming, a multi-objective hedging model w...

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Bibliographic Details
Published in:Economic modelling Vol. 36; pp. 213 - 219
Main Author: Fu, Junhui
Format: Journal Article
Language:English
Published: Amsterdam Elsevier B.V 01.01.2014
Elsevier Science Ltd
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ISSN:0264-9993, 1873-6122
Online Access:Get full text
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Summary:The third central moment and the capital budget are two important factors in designing the optimal hedge strategy. This paper investigates the problem of futures hedging under the third central moment and the capital budget. Based on the multi-objective programming, a multi-objective hedging model with two important factors is proposed to manage this problem. Using the method of weighted sums, the multi-objective hedging model can be equivalently transformed into an ordinary single-objective programming. By solving the single-objective programming, we derive the optimal hedge ratio under the third central moment and the capital budget. Finally, an empirical example of hedging copper is given to illustrate the application of the proposed model. The results also show clearly the influence of the third central moment and the capital budget in the hedging decision. •We propose a multi-objective hedging model with the third central moment and the capital budget.•The method of weighted sums is employed to solve the multi-objective hedging model.•We derive the optimal hedge ratio of the multi-objective hedging model.•The empirical study shows clearly the influence of the third central moment and the capital budget in the hedging decision.
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ISSN:0264-9993
1873-6122
DOI:10.1016/j.econmod.2013.09.048