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Solving Stochastic Saddlepoint Systems: A Qualitative Treatment with Economic Applications

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Author Info
Miller, Marcus
Weller, Paul

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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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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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  1. Barry Eichengreen & Peter Garber, 1990. "Before the Accord: U.S. Monetary-Financial Policy 1945-51," NBER Working Papers 3380, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
    Other versions:
  2. 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. [Downloadable!] (restricted)
    Other versions:
  3. Paul Krugman & Julio Rotemberg, 1990. "Target Zones with Limited Reserves," NBER Working Papers 3418, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
  4. 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. [Downloadable!] (restricted)
  5. Lars E.O. Svensson, 1991. "Target Zones and Interest Rate Variability," NBER Working Papers 3218, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
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  6. 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. [Downloadable!] (restricted)
    Other versions:
  7. Ling Jiang & Lu Han & Daivd Jiang, 2004. "Theories of target zones and realignment of RMB (currency of China) exchange rate," Applied Economics Letters, Taylor and Francis Journals, vol. 11(9), pages 561-568, January. [Downloadable!] (restricted)
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