Abstract
In this paper a model is presented to analyze the influence of exchange rate uncertainty under imperfect market conditions. We consider an oligopolistic market with two types of producers: home producers and foreign producers, both supplying the home market. The exchange rate influences the profits of the foreign producers, and therefore, determines foreign market supply. Through the common demand equation and the game-theoretical setting, this foreign supply affects the home producers.
By assuming profit maximization and allowing the exchange rate to follow an Ito diffusion process, we end up with a stochastic control problem. The closed loop solution of the control problem can be derived by means of the Hamilton-Jacobian-Bellman equation of stochastic control, resulting in one or more partial differential equations (PDEs). As most PDEs are difficult to solve analytically, we apply a simulation approach to investigate the characteristics of our model.
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References
Ames, W.F., 1977, Numerical methods for partial differential equations, New York: Academic Press.
Amman, H.M., 1988, ’The role of the exchange rate in an oligopolistic market’, Research Memorandum 8819, Faculty of Economics, University of Amsterdam.
Dixit, A., 1984, ’International trade policies for oligopolistic industries’, Economic Journal (supplement),1–16.
Dixit, A., 1989, ’Hysteresis, import penetration and exchange rate pass-through’, Quarterly Journal of Economics 54, 205–228.
Eaton, J. and G.M. Grossman, 1986, ’Optimal trade and industrial policy under oligopoly’, Quarterly Journal of Economics 51, 383–t06.
Ethier, W.J., 1987, ’The theory of International Trade’. In L.H. Officer, International Economics, Boston: Kluwer Academic Publishers, 1–57.
Fershtman, C. and M.I. Kamien, 1987, ’Dynamic duopolistic competition with sticky prices’, Econometrica 55, 1151–1164.
Gagnon, J.E., 1989, ’Exchange rate variability and the level of international trade’, International Finance discussion paper 369, Board of Governors of the Federal Reserve System, Washington, USA.
Helpman, E., 1981, ’International trade in the presence of product differentiation, economies of scale and monopolistic competition’, Journal of International Economics 11, 305–340.
Kamien, M.L and N.L. Schwartz, 1981, Dynamic optimization, Amsterdam: North-Holland.
Malliaris, A.G. and W.A. Brock, 1982, Stochastic methods in economics and finance, Amsterdam: North-Holland.
Øksendal, B., 1985, Stochastic differential equations, Berlin: Springer-Verlag.
Svensson, L.E.O., 1989, ’Target zones and interest rate variability.’ Seminar paper 457, Institute for International Economic Studies, Stockholm, Sweden.
Venables, A.J., 1990, ’The economic integration of oligopolistic markets’, European Economic Review 34,753–773.
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© 1992 Springer Science+Business Media Dordrecht
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Amman, H.M., van Velden, L.M.T. (1992). Exchange Rate Uncertainty in Imperfect Markets: A Simulation Approach. In: Amman, H.M., Belsley, D.A., Pau, L.F. (eds) Computational Economics and Econometrics. Advanced Studies in Theoretical and Applied Econometrics, vol 22. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-3162-9_10
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DOI: https://doi.org/10.1007/978-94-011-3162-9_10
Publisher Name: Springer, Dordrecht
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