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Analytic Derivatives for Linear Rational Expectations Models

  • Andrew P. Blake

    ()

This paper sets out the analytic solution for the calculation of exact derivatives in linear rational expectations models with reference to the optimal simple rule problem. We argue that there are substantial computational advantages of using analytic derivatives and compare the likely computational costs of using approximate and exact derivatives when calculating optimal coefficients for simple feedback rules. A specific algorithm for finite time optimization is also outlined, which will reduce the computational time required and is simple to implement. We discuss modifications to allow for stochastic models.

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Article provided by Springer & Society for Computational Economics in its journal Computational Economics.

Volume (Year): 24 (2004)
Issue (Month): 1 (08)
Pages: 77-96

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Handle: RePEc:kap:compec:v:24:y:2004:i:1:p:77-96
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  1. Leith, Campbell & Wren-Lewis, Simon, 2001. " Interest Rate Feedback Rules in an Open Economy with Forward Looking Inflation," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 63(2), pages 209-31, May.
  2. Fiorentini, Gabriele & Calzolari, Giorgio & Panattoni, Lorenzo, 1996. "Analytic Derivatives and the Computation of GARCH Estimates," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 11(4), pages 399-417, July-Aug..
  3. Rustem, B. & Zarrop, M.B., 1979. "A newton-type method for the optimization and control of non-linear econometric models," Journal of Economic Dynamics and Control, Elsevier, vol. 1(3), pages 283-300.
  4. Nicoletta Batini & Edward Nelson, 2000. "Optimal horizons for inflation targeting," Bank of England working papers 119, Bank of England.
  5. Karakitsos, E. & Rustem, B., 1984. "Optimally derived fixed rules and indicators," Journal of Economic Dynamics and Control, Elsevier, vol. 8(1), pages 33-64, October.
  6. Orphanides, Athanasios & Williams, John C, 2005. "Inflation Scares and Forecast-Based Monetary Policy," CEPR Discussion Papers 4844, C.E.P.R. Discussion Papers.
  7. Richard Dennis, 2001. "Solving for Optimal Simple Rules in Rational Expectations Models," Computing in Economics and Finance 2001 30, Society for Computational Economics.
  8. Blake, Andrew P., 2000. "Solution and control of linear rational expectations models with structural effects from future instruments," Economics Letters, Elsevier, vol. 67(3), pages 283-288, June.
  9. Jeff Gable & Simon van Norden & Robert Vigfusson, 1995. "Analytical Derivatives for Markov Switching Models," GE, Growth, Math methods 9508001, EconWPA.
  10. Blanchard, Olivier Jean & Kahn, Charles M, 1980. "The Solution of Linear Difference Models under Rational Expectations," Econometrica, Econometric Society, vol. 48(5), pages 1305-11, July.
  11. Clare, Andrew, et al, 1998. "Macroeconomic Shocks and the CAPM: Evidence from the UK Stockmarket," International Journal of Finance & Economics, John Wiley & Sons, Ltd., vol. 3(2), pages 111-26, April.
  12. Currie, David, 1985. "Macroeconomic Policy Design and Control Theory-A Failed Partnership?," Economic Journal, Royal Economic Society, vol. 95(378), pages 285-306, June.
  13. Michael Woodford, 2003. "Optimal Interest-Rate Smoothing," Review of Economic Studies, Oxford University Press, vol. 70(4), pages 861-886.
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