Advanced Search
MyIDEAS: Login to save this paper or follow this series

Interest rate rules and nominal determinacy

Contents:

Author Info

  • John H. Boyd
  • Michael Dotsey

Abstract

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.

Download Info

If you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.
File URL: http://www.richmondfed.org/publications/research/working_papers/1990/wp_90-1.cfm
Download Restriction: no

File URL: http://www.richmondfed.org/publications/research/working_papers/1990/pdf/wp90-1.pdf
Download Restriction: no

Bibliographic Info

Paper provided by Federal Reserve Bank of Richmond in its series Working Paper with number 90-01.

as in new window
Length:
Date of creation: 1990
Date of revision:
Handle: RePEc:fip:fedrwp:90-01

Contact details of provider:
Web page: http://www.richmondfed.org/
More information through EDIRC

Order Information:
Email:
Web: http://www.richmondfed.org/publications/

Related research

Keywords: Interest rates;

Other versions of this item:

References

References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
as in new window
  1. 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 409-25, March.
  2. 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.).
  3. Goodfriend, Marvin, 1987. "Interest rate smoothing and price level trend-stationarity," Journal of Monetary Economics, Elsevier, vol. 19(3), pages 335-348, May.
  4. Bennett T. McCallum, 1986. "Some Issues Concerning Interest Rate Pegging, Price Level Determinacy, and the Real Bills Doctrine," NBER Working Papers 1294, National Bureau of Economic Research, Inc.
  5. 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.
  6. 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.
  7. 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.
  8. 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.
  9. Evans, George, 1985. "Expectational Stability and the Multiple Equilibria Problem in Linear Rational Expectations Models," The Quarterly Journal of Economics, MIT Press, vol. 100(4), pages 1217-33, November.
  10. Bennett T. McCallum, 1982. "Price Level Determinacy with an Interest Rate Policy Rule and Rational Expectations," NBER Working Papers 0559, National Bureau of Economic Research, Inc.
  11. DeCanio, Stephen J, 1979. "Rational Expectations and Learning from Experience," The Quarterly Journal of Economics, MIT Press, vol. 93(1), pages 47-57, February.
  12. Evans, George W., 1986. "Selection criteria for models with non-uniqueness," Journal of Monetary Economics, Elsevier, vol. 18(2), pages 147-157, September.
  13. Evans, George & Honkapohja, Seppo, 1986. "A Complete Characterization of ARMA Solutions to Linear Rational Expectations Models," Review of Economic Studies, Wiley Blackwell, vol. 53(2), pages 227-39, April.
Full references (including those not matched with items on IDEAS)

Citations

Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
as in new window

Cited by:
  1. Michael Dotsey & Christopher Otrok, 1994. "M2 and monetary policy: a critical review of the recent debate," Economic Quarterly, Federal Reserve Bank of Richmond, issue Win, pages 41-49.
  2. Michael Woodford, 1995. "Price Level Determinacy Without Control of a Monetary Aggregate," NBER Working Papers 5204, National Bureau of Economic Research, Inc.
  3. Michael Dotsey & Andreas Hornstein, 2011. "On the implementation of Markov-perfect monetary policy," Working Papers 11-29, Federal Reserve Bank of Philadelphia.
  4. Michael Dotsey & Andreas Hornstein, 2011. "On the implementation of Markov-Perfect interest rate and money supply rules : global and local uniqueness," Working Paper 09-06, Federal Reserve Bank of Richmond.
  5. William Kerr & Robert G. King, 1996. "Limits on interest rate rules in the IS model," Economic Quarterly, Federal Reserve Bank of Richmond, issue Spr, pages 47-75.
  6. Michael Dotsey, 1996. "Some not-so-unpleasant monetarist arithmetic," Economic Quarterly, Federal Reserve Bank of Richmond, issue Fall, pages 73-91.
  7. James B. Bullard, 1991. "Learning, rational expectations and policy: a summary of recent research," Review, Federal Reserve Bank of St. Louis, issue Jan, pages 50-60.
  8. Onatski, Alexei, 2006. "Winding number criterion for existence and uniqueness of equilibrium in linear rational expectations models," Journal of Economic Dynamics and Control, Elsevier, vol. 30(2), pages 323-345, February.
  9. Frank Hespeler, 2008. "Solution Algorithm to a Class of Monetary Rational Equilibrium Macromodels with Optimal Monetary Policy Design," Computational Economics, Society for Computational Economics, vol. 31(3), pages 207-223, April.

Lists

This item is not listed on Wikipedia, on a reading list or among the top items on IDEAS.

Statistics

Access and download statistics

Corrections

When requesting a correction, please mention this item's handle: RePEc:fip:fedrwp:90-01. See general information about how to correct material in RePEc.

For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (William Perkins).

If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

If references are entirely missing, you can add them using this form.

If the full references list an item that is present in RePEc, but the system did not link to it, you can help with this form.

If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your profile, as there may be some citations waiting for confirmation.

Please note that corrections may take a couple of weeks to filter through the various RePEc services.