Abstract
This paper extends the theory of corporate international investment in Choi (J. Int. Bus. Stud. 20: 145–155, 1989) in an environment where the segmentation of international capital markets for investors or the presence of agency costs provide some independence to corporate decisions. The model shows that the real exchange risk, the competition between firms in different markets and diversification gains affect corporate international investment.
By accounting for the role of information as defined in the models of Merton (J. Finance 42: 483–510, 1987), Bellalah (Int. J. Finance Econ. 6: 59–67, 2001a) and Bellalah and Wu (Int. J. Theor. Appl. Finance 5(5): 479–495, 2002), the model embodies different existing explanations based on economic and behavioral variables. We show in a “two-country” firm model that real exchange risk, diversification motives and information costs are important elements in the determination of corporate international investment decisions. The dynamic portfolio model reflects the main results in several theories of foreign direct investment. Our model accounts for the role of information in explaining foreign investments. It provides simple explanations which are useful in explaining the home bias puzzle in international finance.
Using the dynamical programming principle method, we provide the general solution for the proportion of firm’s total capital budget. We also use a new method to get explicit solutions in some special cases. This new method can be applied to solve other financial control problems. The simulating results are given to show our conclusion and the influence of some parameters to the optimal solution. The economic results can be seen as a generalization of the model in Solnik (J. Econ. Theory 8: 500–524, 1974).
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References
Adler, M., & Dumas, B. (1983). International portfolio choice and corporation finance: a synthesis. Journal of Finance, 38, 925–984.
Adler, M., & Dumas, B. (1984). Exposure to currency risk: definition and measurement. Financial Management, 13, 41–50.
Aliber, R. (1970). A theory of foreign direct investment. C. P. Kindleberger (Ed.), The international corporation. Cambridge: MIT Press.
Aliber, R. (1983). Money, multinationals and sovereigns. C. P. Kindleberger & D. Audretsch (Eds.), The multinational corporation in the 1980s. Cambridge: MIT Press.
Bellalah, M. (1990). Quatres essais sur l’évaluation des options: dividendes, volatilités des taux d’intérêt et information incomplète. Doctorat de l’Université de Paris-Dauphine (June).
Bellalah, M. (1999). The valuation of futures and commodity options with information costs. Journal of Futures Markets, 19, 645–664.
Bellalah, M. (2001a). A re-examination of corporate risks under incomplete information. International Journal of Finance and Economics, 6, 59–67.
Bellalah, M. (2001b). Market imperfections, information costs and the valuation of derivatives: some general results. International Journal of Finance, 13, 1895–1928.
Bellalah, M., & Jacquillat, B. (1995). Option valuation with information costs: theory and tests. Financial Review, August, 617–635.
Bellalah, M., & Wu, Z. (2002). A model for market closure and international portfolio management within incomplete information. International Journal of Theoretical and Applied Finance, 5(5), 479–495.
Black, F. (1974). International capital market equilibrium with investment barriers. Journal of Financial Economics, 1, 337–352.
Choi, J. J. (1989). Diversification, exchange risks and corporate international investment. Journal of International Business Studies, 20, 145–155.
Coval, J., & Moskowitz, T. F. (1999). Home bias at home: local equity preference in domestic portfolios. Working paper, University of Michigan.
Dornbusch, R. (1980). Exchange rate risk and the macroeconomics of exchange rate determination. NBER Working paper, No. 493, June.
Kang, J., & Stulz, R. (1997). Why is there a home bias? An analysis of foreign portfolio equity in Japan. Journal of Financial Economics, 46, 3–28.
Karatzas, I. (1987). Optimization problem in the theory of continuous trading. SIAM Journal of Control and Optimization, 27, 1221–1259.
Karatzas, I., & Shreve, S. E. (1988). Brownian motion and stochastic calculus. New York: Springer.
Merton, R. (1987). An equilibrium market model with incomplete information. Journal of Finance, 42, 483–510.
Sharp, W. F. (1964). Capital assets prices: a theory of market equilibrium under conditions of risk. Journal of Finance, 19, 425–442.
Solnik, B. (1974). An equilibrium model of the international capital market. Journal of Economic Theory, 8, 500–524.
Stulz, R. (1981). On the effects of barriers to international investment. Journal of Finance, 36, 923–934.
Stulz, R. (1999). Globalization of equity markets and the cost of capital. Working paper, February.
Wu, Z., & Xu, W. (1996). A direct method in optimal portfolio and consumption choice. Applied Mathematics. A Journal of Chinese Universities, Series B, 11, 349–354.
Yong, J., & Zhou, X. (1999). Stochastic controls: Hamiltonian systems and HJB equations. New York: Springer.
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Bellalah, M., Wu, Z. A simple model of corporate international investment under incomplete information and taxes. Ann Oper Res 165, 123–143 (2009). https://doi.org/10.1007/s10479-007-0307-9
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DOI: https://doi.org/10.1007/s10479-007-0307-9