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

Author

Listed:
  • Süleyman Basak
  • Mike Gallmeyer

Abstract

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.
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Suggested Citation

  • Süleyman Basak & Mike Gallmeyer, "undated". "Currency Prices, the Nominal Exchange Rate, and Security Prices in a Two-Country Dynamic Monetary Equilibrium," Rodney L. White Center for Financial Research Working Papers 09-98, Wharton School Rodney L. White Center for Financial Research.
    • Handle: RePEc:fth:pennfi:09-98
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    Cited by:

    1. Phornchanok Cumperayot, 2003. "Dusting off the Perception of Risk and Returns in FOREX Markets," CESifo Working Paper Series 904, CESifo.
    2. Anna Pavlova & Roberto Rigobon, 2007. "Asset Prices and Exchange Rates," The Review of Financial Studies, Society for Financial Studies, vol. 20(4), pages 1139-1180.
    3. Basak, Suleyman, 2005. "Asset pricing with heterogeneous beliefs," Journal of Banking & Finance, Elsevier, vol. 29(11), pages 2849-2881, November.
    4. Duarte, Diogo & Saporito, Yuri F., 2019. "Endogenous asymmetric money illusion," Journal of Banking & Finance, Elsevier, vol. 109(C).
    5. Keiichi Tanaka, 2003. "Indeterminacy of equilibrium price of money, market price of risk and interest rates," Economics Bulletin, AccessEcon, vol. 7(4), pages 1-11.
    6. Lioui, Abraham & Poncet, Patrice, 2003. "International asset allocation: A new perspective," Journal of Banking & Finance, Elsevier, vol. 27(11), pages 2203-2230, November.
    7. Chiarolla, Maria B. & Haussmann, Ulrich G., 2001. "Equilibrium in a stochastic model with consumption, wages and investment," Journal of Mathematical Economics, Elsevier, vol. 35(2), pages 311-346, April.
    8. Bakshi, Gurdip & Carr, Peter & Wu, Liuren, 2008. "Stochastic risk premiums, stochastic skewness in currency options, and stochastic discount factors in international economies," Journal of Financial Economics, Elsevier, vol. 87(1), pages 132-156, January.
    9. Lioui, Abraham & Poncet, Patrice, 2004. "General equilibrium real and nominal interest rates," Journal of Banking & Finance, Elsevier, vol. 28(7), pages 1569-1595, July.
    10. Anna Pavlova & Roberto Rigobon, 2010. "International Macro-Finance," NBER Working Papers 16630, National Bureau of Economic Research, Inc.
    11. repec:ebl:ecbull:v:7:y:2003:i:4:p:1-11 is not listed on IDEAS
    12. Evans, Lynne & Kenc, Turalay, 2004. "FOREX risk premia and policy uncertainty: a recursive utility analysis," Journal of International Financial Markets, Institutions and Money, Elsevier, vol. 14(1), pages 1-24, February.
    13. Dibooglu, Sel & Kenc, Turalay, 2009. "Welfare cost of inflation in a stochastic balanced growth model," Economic Modelling, Elsevier, vol. 26(3), pages 650-658, May.
    14. Travis D. Nesmith, 2005. "Solving stochastic money-in-the-utility-function models," Finance and Economics Discussion Series 2005-52, Board of Governors of the Federal Reserve System (U.S.).
    15. Balduzzi, Pierluigi, 2007. "Money and asset prices in a continuous-time Lucas and Stokey cash-in-advance economy," Journal of Economic Dynamics and Control, Elsevier, vol. 31(8), pages 2713-2743, August.
    16. Suleyman Basak & Hongjun Yan, 2010. "Equilibrium Asset Prices and Investor Behaviour in the Presence of Money Illusion," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 77(3), pages 914-936.
    17. Lioui, Abraham & Poncet, Patrice, 2005. "General equilibrium pricing of CPI derivatives," Journal of Banking & Finance, Elsevier, vol. 29(5), pages 1265-1294, May.
    18. Apte, Prakash & Sercu, Piet & Uppal, Raman, 2004. "The exchange rate and purchasing power parity: extending the theory and tests," Journal of International Money and Finance, Elsevier, vol. 23(4), pages 553-571, June.
    19. Vincenzo Costa, 2004. "Risk neutral valuation and uncovered interest rate parity in a stochastic two-country-economy with two goods," Economics Bulletin, AccessEcon, vol. 3(43), pages 1-10.
    20. Benjamin Croitoru & Lei Lu, 2015. "Asset Pricing in a Monetary Economy with Heterogeneous Beliefs," Management Science, INFORMS, vol. 61(9), pages 2203-2219, September.
    21. Basak, Suleyman, 2004. "Asset Prices with Heterogenous Beliefs," CEPR Discussion Papers 4256, C.E.P.R. Discussion Papers.

    More about this item

    JEL classification:

    • F31 - International Economics - - International Finance - - - Foreign Exchange

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