Interest Rate Rules And Nominal Determinacy
Monetary economists have recently begun a serious study of money supply rules that allow the Fed to adjustably peg the nominal interest rate under rational expectations. These rules vary from procedures that produce stationary nominal magnitudes to those that generate nonstationarities in nominal variables. Our paper investigates the determinacy properties of three representative interest rate rules. ; We use Blanchard and Kahn's solution technique as a starting point. It doesn't directly apply, so we first modify their procedure. We then narrow the range of solutions by considering the ARMA solutions of Evans and Honkapohja and the global minimum state variable solution of McCallum. We then examine these solutions in light of the expectational stability notions employed by DeCanio, Bray and Evans. ; Two of the three classes of rules yield a unique admissible solution. The exclusion of bubbles usually rules out the general ARMA solutions present in Evans and Honkapohja and leads to unique solutions via a saddlepoint property. Nonetheless, the nonstationary money supply rules we examine do not generally yield a well determined system over all parameter values. We employ the global minimum state variable methodology of McCallum and Evans' expectational stability in an effort to insure uniqueness. Although these methods are usually in agreement, one of the nonstationary rules yields a global minimum state variable solution that is expectationally unstable when the central bank is sensitive to interest rate deviations. Moreover, under these conditions, an alternative (non-global) minimum state variable solution is expectationally stable, casting doubt on the applicability of McCallum's global procedure in this context.
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|Date of creation:||1990|
|Contact details of provider:|| Postal: University of Rochester, Center for Economic Research, Department of Economics, Harkness 231 Rochester, New York 14627 U.S.A.|
References listed on IDEAS
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- McCallum, Bennett T., 1981.
"Price level determinacy with an interest rate policy rule and rational expectations,"
Journal of Monetary Economics,
Elsevier, vol. 8(3), pages 319-329.
- Bennett T. McCallum, 1980. "Price Level Determinacy with an Interest Rate Policy Rule and Rational Expectations," NBER Working Papers 0559, National Bureau of Economic Research, Inc.
- George Evans & Seppo Honkapohja, 1986. "A Complete Characterization of ARMA Solutions to Linear Rational Expectations Models," Review of Economic Studies, Oxford University Press, vol. 53(2), pages 227-239.
- Blume, L. E. & Bray, M. M. & Easley, D., 1982. "Introduction to the stability of rational expectations equilibrium," Journal of Economic Theory, Elsevier, vol. 26(2), pages 313-317, April.
- McCallum, Bennett T., 1986. "Some issues concerning interest rate pegging, price level determinacy, and the real bills doctrine," Journal of Monetary Economics, Elsevier, vol. 17(1), pages 135-160, January.
- Bennett T. McCallum, 1984. "Some Issues Concerning Interest Rate Pegging, Price Level Determinacy, and the Real Bills Doctrine," NBER Working Papers 1294, National Bureau of Economic Research, Inc.
- Goodfriend, Marvin, 1987. "Interest rate smoothing and price level trend-stationarity," Journal of Monetary Economics, Elsevier, vol. 19(3), pages 335-348, May.
- Marvin Goodfriend, 1986. "Interest rate smoothing and price level trend-stationarity," Working Paper 86-04, Federal Reserve Bank of Richmond.
- Marvin Goodfriend, 1987. "Interest rate smoothing and price level trend-stationarity," Working Paper 87-03, Federal Reserve Bank of Richmond.
- Blanchard, Olivier Jean & Kahn, Charles M, 1980. "The Solution of Linear Difference Models under Rational Expectations," Econometrica, Econometric Society, vol. 48(5), pages 1305-1311, July.
- George Evans, 1985. "Expectational Stability and the Multiple Equilibria Problem in Linear Rational Expectations Models," The Quarterly Journal of Economics, Oxford University Press, vol. 100(4), pages 1217-1233.
- Dotsey, Michael & King, Robert G., 1983. "Monetary instruments and policy rules in a rational expectations environment," Journal of Monetary Economics, Elsevier, vol. 12(3), pages 357-382, September.
- Michael Dotsey & Robert G. King, 1983. "Monetary Instruments and Policy Rules in a Rational Expectations Environment," NBER Working Papers 1114, National Bureau of Economic Research, Inc.
- McCallum, Bennett T., 1983. "On non-uniqueness in rational expectations models : An attempt at perspective," Journal of Monetary Economics, Elsevier, vol. 11(2), pages 139-168.
- Bennett T. McCallum, 1981. "On Non-Uniqueness in Rational Expectations Models: An Attempt at Perspective," NBER Working Papers 0684, National Bureau of Economic Research, Inc.
- Frydman, Roman & Phelps, Edmund S., 1983. "Individual Expectations and Aggregate Outcomes: An Introduction to the Problem," Working Papers 83-02, C.V. Starr Center for Applied Economics, New York University.
- Matthew B. Canzoneri & Dale W. Henderson & Kenneth S. Rogoff, 1983. "The Information Content of the Interest Rate and Optimal Monetary Policy," The Quarterly Journal of Economics, Oxford University Press, vol. 98(4), pages 545-566.
- Matthew B. Canzoneri & Dale W. Henderson & Kenneth S. Rogoff, 1981. "The information content of the interest rate and optimal monetary policy," International Finance Discussion Papers 192, Board of Governors of the Federal Reserve System (U.S.).
- Evans, George W., 1986. "Selection criteria for models with non-uniqueness," Journal of Monetary Economics, Elsevier, vol. 18(2), pages 147-157, September.
- Gourieroux, C & Laffont, J J & Monfort, Alain, 1982. "Rational Expectations in Dynamic Linear Models: Analysis of the Solutions," Econometrica, Econometric Society, vol. 50(2), pages 409-425, March.
- Stephen J. DeCanio, 1979. "Rational Expectations and Learning from Experience," The Quarterly Journal of Economics, Oxford University Press, vol. 93(1), pages 47-57. Full references (including those not matched with items on IDEAS)