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Currency Prices, the Nominal Exchange Rate, and Security Prices in a Two‐Country Dynamic Monetary Equilibrium

  • Suleyman Basak
  • Michael Gallmeyer

This paper examines a continuous‐time two‐country dynamic monetary equilibrium in which countries with possibly heterogeneous tastes and endowments hold their own money for the purpose of transaction services formulated via money in the utility function. Given a price system, no‐arbitrage pricing results are provided for the price of each money and the nominal exchange rate. Characterizations are provided for equilibrium prices for general time‐additive preferences and non‐Markovian exogenous processes. Under a Markovian structure of model primitives, the currency prices are shown to solve a bivariate system of partial differential equations. Assuming that each country is endowed with heterogeneous separable power utility and the exogenous quantities all follow geometric Brownian motions, an equilibrium is shown to exist and additional characterization is provided. A further example of nonseparable Cobb-Douglas preferences is investigated. The additional features over the customary environment of homogeneous logarithmic preferences are emphasized. Copyright Blackwell Publishers Inc 1999.

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Article provided by Wiley Blackwell in its journal Mathematical Finance.

Volume (Year): 9 (1999)
Issue (Month): 1 ()
Pages: 1-30

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Handle: RePEc:bla:mathfi:v:9:y:1999:i:1:p:1-30
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  1. Huang, Chi-fu, 1987. "An Intertemporal General Equilibrium Asset Pricing Model: The Case of Diffusion Information," Econometrica, Econometric Society, vol. 55(1), pages 117-42, January.
  2. Stulz, ReneM., 1986. "Interest rates and monetary policy uncertainty," Journal of Monetary Economics, Elsevier, vol. 17(3), pages 331-347, May.
  3. Darrell Duffie & William Zame, 1988. "The Consumption-Based Capital Asset Pricing Model," Discussion Papers 88-10, University of Copenhagen. Department of Economics.
  4. Lucas, Robert E, Jr, 1978. "Asset Prices in an Exchange Economy," Econometrica, Econometric Society, vol. 46(6), pages 1429-45, November.
  5. Feenstra, Robert C., 1986. "Functional equivalence between liquidity costs and the utility of money," Journal of Monetary Economics, Elsevier, vol. 17(2), pages 271-291, March.
  6. Adler, Michael & Dumas, Bernard, 1983. " International Portfolio Choice and Corporation Finance: A Synthesis," Journal of Finance, American Finance Association, vol. 38(3), pages 925-84, June.
  7. Gurdip S. Bakshi & Zhiwu Chen, 1998. "Inflation, Asset Prices and the Term Structure of Interest Rates in Monetary Economies," Yale School of Management Working Papers ysm44, Yale School of Management.
  8. Breeden, Douglas T., 1979. "An intertemporal asset pricing model with stochastic consumption and investment opportunities," Journal of Financial Economics, Elsevier, vol. 7(3), pages 265-296, September.
  9. Gurdip S. Bakshi & Zhiwu Chen, 1996. "Equilibrium Valuation of Foreign Exchange Claims," Yale School of Management Working Papers ysm79, Yale School of Management.
  10. N. El Karoui & S. Peng & M. C. Quenez, 1997. "Backward Stochastic Differential Equations in Finance," Mathematical Finance, Wiley Blackwell, vol. 7(1), pages 1-71.
  11. Ohashi, Kazuhiko, 1991. "A note on the terminal date security prices in a continuous time trading model with dividends," Journal of Mathematical Economics, Elsevier, vol. 20(2), pages 219-223.
  12. Cox, John C. & Huang, Chi-fu, 1989. "Optimal consumption and portfolio policies when asset prices follow a diffusion process," Journal of Economic Theory, Elsevier, vol. 49(1), pages 33-83, October.
  13. Bekaert, Geert, 1996. "The Time Variation of Risk and Return in Foreign Exchange Markets: A General Equilibrium Perspective," Review of Financial Studies, Society for Financial Studies, vol. 9(2), pages 427-70.
  14. Lucas, Robert Jr., 1982. "Interest rates and currency prices in a two-country world," Journal of Monetary Economics, Elsevier, vol. 10(3), pages 335-359.
  15. Solnik, Bruno H., 1974. "An equilibrium model of the international capital market," Journal of Economic Theory, Elsevier, vol. 8(4), pages 500-524, August.
  16. Jiang, Wang, 1996. "The term structure of interest rates in a pure exchange economy with heterogeneous investors," Journal of Financial Economics, Elsevier, vol. 41(1), pages 75-110, May.
  17. Stulz, Rene M, 1987. "An Equilibrium Model of Exchange Rate Determination and Asset Pricing with Nontraded Goods and Imperfect Information," Journal of Political Economy, University of Chicago Press, vol. 95(5), pages 1024-40, October.
  18. LeRoy, Stephen F, 1984. "Nominal Prices and Interest Rates in General Equilibrium: Endowment Shocks," The Journal of Business, University of Chicago Press, vol. 57(2), pages 197-213, April.
  19. Cox, John C & Ingersoll, Jonathan E, Jr & Ross, Stephen A, 1985. "An Intertemporal General Equilibrium Model of Asset Prices," Econometrica, Econometric Society, vol. 53(2), pages 363-84, March.
  20. LeRoy, Stephen F, 1984. "Nominal Prices and Interest Rates in General Equilibrium: Money Shocks," The Journal of Business, University of Chicago Press, vol. 57(2), pages 177-95, April.
  21. Svensson, Lars E. O., 1985. "Currency prices, terms of trade, and interest rates: A general equilibrium asset-pricing cash-in-advance approach," Journal of International Economics, Elsevier, vol. 18(1-2), pages 17-41, February.
  22. Bekaert, Geert, 1994. "Exchange rate volatility and deviations from unbiasedness in a cash-in-advance model," Journal of International Economics, Elsevier, vol. 36(1-2), pages 29-52, February.
  23. Stulz, Rene M, 1984. "Currency Preferences, Purchasing Power Risks, and the Determination of Exchange Rates in an Optimizing Model," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 16(3), pages 302-16, August.
  24. Zapatero, Fernando, 1995. "Equilibrium asset prices and exchange rates," Journal of Economic Dynamics and Control, Elsevier, vol. 19(4), pages 787-811, May.
  25. Dumas, Bernard, 1992. "Dynamic Equilibrium and the Real Exchange Rate in a Spatially Separated World," Review of Financial Studies, Society for Financial Studies, vol. 5(2), pages 153-80.
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