Year: 2019
Author: Jiayue Zhang, Junlin Wang, Xinyu Wang
Advances in Applied Mathematics and Mechanics, Vol. 11 (2019), Iss. 4 : pp. 957–979
Abstract
In $R\&D$ investment projects, the value and the flexibility of investments are investigated by real option models, while the competition among the investors are mainly analyzed by the game theory. In this paper, we propose an option game model to analyze the case in which two firms invest the same project during a period of time. The firm taking the initiative, the leader, achieves more market shares, whereas the follower gains some investment information from the leader. We apply the fitted finite volume method and the power penalty method in order to get the solution of the option game model. Several managerial results including the payoffs and the effects of parameters are also discussed. Finally, by comparing the compound American option with the European one, we find the former more suitable for the analysis of $R\&D$ investment projects.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/aamm.OA-2018-0215
Advances in Applied Mathematics and Mechanics, Vol. 11 (2019), Iss. 4 : pp. 957–979
Published online: 2019-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 23
Keywords: $R\&D$ investment project option game compound American option fitted finite volume method.