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Solving Stochastic Saddlepoint Systems: A Qualitative Treatment with Economic Applications

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  • Miller, Marcus
  • Weller, Paul

Abstract

We examine the effect of introducing stochastic shocks into a linear rational expectations model with saddlepoint dynamics generated by a forward looking asset price. We derive the fundamental differential equation governing the path of the asset price as a function of the 'sluggish' variable. The equation does not admit of closed form solutions in general, but we provide a complete qualitative characterization of the solution paths which are symmetric about equilibrium. The first application analyzes how financial markets might react to the implementation of fiscal stabilization policy where public expenditures are only adjusted when GNP moves outside a threshold around a target level. The second application examines exchange rate behavior in the presence of a currency subject to a known realignment rule requiring an adjustment to monetary polic.

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Bibliographic Info

Paper provided by C.E.P.R. Discussion Papers in its series CEPR Discussion Papers with number 308.

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Date of creation: Apr 1989
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Handle: RePEc:cpr:ceprdp:308

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Keywords: Asset Prices; Dynamic Model; Expectations; Linear Model; Stochastic Shocks;

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Cited by:
  1. Oppers, Stefan Erik, 2000. "A model of the bimetallic system," Journal of Monetary Economics, Elsevier, vol. 46(2), pages 517-533, October.
  2. Bernd Kempa & Michael Nelles, 1999. "Misalignments of real exchange rates and the credibility of nominal currency bands," Review of World Economics (Weltwirtschaftliches Archiv), Springer, vol. 135(4), pages 613-628, December.
  3. Beetsma, Roel M. W. J. & van der Ploeg, Frederick, 1998. "Macroeconomic stabilization and intervention policy under an exchange rate band," Journal of International Money and Finance, Elsevier, vol. 17(2), pages 339-353, April.
  4. Paul Krugman & Julio Rotemberg, 1990. "Target Zones with Limited Reserves," NBER Working Papers 3418, National Bureau of Economic Research, Inc.
  5. Robert P. Flood & Peter M. Garber, 1989. "The Linkage Between Speculative Attack and Target Zone Models of Exchange Rates," NBER Working Papers 2918, National Bureau of Economic Research, Inc.
  6. Kempa, Bernd & Nelles, Michael & Pierdzioch, Christian, 1999. "The term structure of interest rates in a sticky-price target zone model," Journal of International Money and Finance, Elsevier, vol. 18(5), pages 817-834, October.
  7. Barry Eichengreen & Peter M. Garber, 1991. "Before the Accord: U.S. Monetary-Financial Policy, 1945-51," NBER Chapters, in: Financial Markets and Financial Crises, pages 175-206 National Bureau of Economic Research, Inc.
  8. Svensson, L.E.O., 1989. "Target Zones And Interest Rate Variability," Papers 457, Stockholm - International Economic Studies.
  9. Kempa, Bernd & Nelles, Michael & Pierdzioch, Christian, 1997. "An analytical approximation of target zone exchange rate functions: the technique of collocation," Economics Letters, Elsevier, vol. 57(3), pages 339-343, December.
  10. Beetsma, R.M.W.J. & Ploeg, F. van der, 1993. "Intramarginal interventions, bands and the pattern of EMS exchange rate distributions," Discussion Paper 1993-48, Tilburg University, Center for Economic Research.
  11. Willem H. Buiter & Paolo A. Pesenti, 1990. "Rational Speculative Bubbles in an Exchange Rate Target Zone," NBER Working Papers 3467, National Bureau of Economic Research, Inc.

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