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Futures price modeling under exchange rate volatility and its multi-period semi-variance portfolio selection
Yan, Wei1,2; Li, Shurong2
2009
Source PublicationINTERNATIONAL JOURNAL OF SYSTEMS SCIENCE
ISSN0020-7721
Volume40Issue:11Pages:1139-1148
AbstractConsidering the stochastic exchange rate, a four-factor futures model with the underling asset, convenience yield, instantaneous risk-free interest rate and exchange rate, is established. These processes follow jump-diffusion processes (Weiner process and Poisson process). The corresponding partial differential equation (PDE) with terminal boundary condition of the model is drawn. The general solution with parameters of the above PDE is derived. The parameters are estimated by using the weight least squares approach with historical data for special cases. For the objective of risk assessment, downside risk has impacted on the practitioner's view of risk apparently. Variance is substituted by semi-variance. Moreover, one period portfolio selection is extended to multi-period. A class of multi-period semi-variance model is formulated. A hybrid genetic algorithm, which makes use of the position displacement strategy of the particle swarm optimiser as a mutation operation, is applied to solve the multi-period semi-variance model. Finally, in order to demonstrate the effectiveness of the theoretical models and numerical methods, fuel futures in the Shanghai exchange market is selected to be an example.
Keywordfour-factor model multi-period semi-variance portfolio exchange rate futures hybrid GA with PSO economic systems finance partial differential equations genetic algorithms
DOI10.1080/00207720902985385
Language英语
WOS Research AreaAutomation & Control Systems ; Computer Science ; Operations Research & Management Science
WOS SubjectAutomation & Control Systems ; Computer Science, Theory & Methods ; Operations Research & Management Science
WOS IDWOS:000271614300004
PublisherTAYLOR & FRANCIS LTD
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Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/7050
Collection中国科学院数学与系统科学研究院
Corresponding AuthorYan, Wei
Affiliation1.Chinese Acad Sci, Key Lab Math Mechanizat, Beijing 100190, Peoples R China
2.China Univ Petr, Coll Informat & Control Engn, Dongying 257061, Shandong, Peoples R China
Recommended Citation
GB/T 7714
Yan, Wei,Li, Shurong. Futures price modeling under exchange rate volatility and its multi-period semi-variance portfolio selection[J]. INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE,2009,40(11):1139-1148.
APA Yan, Wei,&Li, Shurong.(2009).Futures price modeling under exchange rate volatility and its multi-period semi-variance portfolio selection.INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE,40(11),1139-1148.
MLA Yan, Wei,et al."Futures price modeling under exchange rate volatility and its multi-period semi-variance portfolio selection".INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE 40.11(2009):1139-1148.
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