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The zero lower bound on the interest rate and a Neoclassical Phillips curve

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  • Alstadheim, Ragna

Abstract

I derive the exact analytical solution for optimal monetary policy given a Neoclassical Phillips curve and a zero lower bound on the nominal interest rate. There is a particular range of interest rate rule parameters that may close the output gap. One way of closing the output gap involves stable but high inflation (the divine coincidence). In the general case inflation is variable and potentially lower. Thus, one can achieve stable OR low inflation, but not both. When the productivity shock has an unbounded support, only the variable inflation version of optimal policy is implementable. Optimal policy then involves a lagged interest rate response to shocks and a random walk price level.

Suggested Citation

  • Alstadheim, Ragna, 2016. "The zero lower bound on the interest rate and a Neoclassical Phillips curve," Journal of Macroeconomics, Elsevier, vol. 47(PA), pages 116-130.
    • Handle: RePEc:eee:jmacro:v:47:y:2016:i:pa:p:116-130
    DOI: 10.1016/j.jmacro.2015.10.009
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    1. Orphanides, Athanasios & Wieland, Volker, 2000. "Efficient Monetary Policy Design near Price Stability," Journal of the Japanese and International Economies, Elsevier, vol. 14(4), pages 327-365, December.
    2. Anton Nakov, 2008. "Optimal and Simple Monetary Policy Rules with Zero Floor on the Nominal Interest Rate," International Journal of Central Banking, International Journal of Central Banking, vol. 4(2), pages 73-127, June.
    3. Robert King & Alexander L. Wolman, 1999. "What Should the Monetary Authority Do When Prices Are Sticky?," NBER Chapters, in: Monetary Policy Rules, pages 349-404, National Bureau of Economic Research, Inc.
    4. S. Boragan Aruoba & Frank Schorfheide, 2013. "Macroeconomic dynamics near the ZLB: a tale of two equilibria," Working Papers 13-29, Federal Reserve Bank of Philadelphia.
    5. Maurice Obstfeld & Kenneth S. Rogoff, 1996. "Foundations of International Macroeconomics," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262150476, December.
    6. Jess Benhabib & Stephanie Schmitt-Grohe & Martin Uribe, 2002. "Avoiding Liquidity Traps," Journal of Political Economy, University of Chicago Press, vol. 110(3), pages 535-563, June.
    7. Ben S. Bernanke & Julio J. Rotemberg (ed.), 1997. "NBER Macroeconomics Annual 1997," MIT Press Books, The MIT Press, edition 1, volume 1, number 026252242x, December.
    8. repec:spo:wpmain:info:hdl:2441/c8dmi8nm4pdjkuc9g704ld0h3 is not listed on IDEAS
    9. Nicolas Coeurdacier & Helene Rey & Pablo Winant, 2011. "The Risky Steady State," American Economic Review, American Economic Association, vol. 101(3), pages 398-401, May.
    10. Obstfeld, Maurice & Rogoff, Kenneth, 1983. "Speculative Hyperinflations in Maximizing Models: Can We Rule Them Out?," Journal of Political Economy, University of Chicago Press, vol. 91(4), pages 675-687, August.
    11. Adam, Klaus & Billi, Roberto M., 2006. "Optimal Monetary Policy under Commitment with a Zero Bound on Nominal Interest Rates," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 38(7), pages 1877-1905, October.
    12. repec:spo:wpecon:info:hdl:2441/c8dmi8nm4pdjkuc9g704ld0h3 is not listed on IDEAS
    13. Gauti B. Eggertsson & Michael Woodford, 2003. "The Zero Bound on Interest Rates and Optimal Monetary Policy," Brookings Papers on Economic Activity, Economic Studies Program, The Brookings Institution, vol. 34(1), pages 139-235.
    14. Alstadheim Ragna & Henderson Dale W., 2006. "Price-Level Determinacy, Lower Bounds on the Nominal Interest Rate, and Liquidity Traps," The B.E. Journal of Macroeconomics, De Gruyter, vol. 6(1), pages 1-27, November.
    15. Roberto M. Billi, 2011. "Optimal Inflation for the US Economy," American Economic Journal: Macroeconomics, American Economic Association, vol. 3(3), pages 29-52, July.
    16. Braun, R. Anton & Körber, Lena Mareen, 2011. "New Keynesian dynamics in a low interest rate environment," Journal of Economic Dynamics and Control, Elsevier, vol. 35(12), pages 2213-2227.
    17. Julio J. Rotemberg & Michael Woodford, 1997. "An Optimization-Based Econometric Framework for the Evaluation of Monetary Policy," NBER Chapters, in: NBER Macroeconomics Annual 1997, Volume 12, pages 297-361, National Bureau of Economic Research, Inc.
    18. Benhabib, Jess & Schmitt-Grohe, Stephanie & Uribe, Martin, 2001. "The Perils of Taylor Rules," Journal of Economic Theory, Elsevier, vol. 96(1-2), pages 40-69, January.
    19. Kim, Jinill & Henderson, Dale W., 2005. "Inflation targeting and nominal-income-growth targeting: When and why are they suboptimal?," Journal of Monetary Economics, Elsevier, vol. 52(8), pages 1463-1495, November.
    20. Vasco Curdia & Michael Woodford, 2010. "Conventional and unconventional monetary policy," Review, Federal Reserve Bank of St. Louis, vol. 92(May), pages 229-264.
    21. Clouse James & Henderson Dale & Orphanides Athanasios & Small David H. & Tinsley P.A., 2003. "Monetary Policy When the Nominal Short-Term Interest Rate is Zero," The B.E. Journal of Macroeconomics, De Gruyter, vol. 3(1), pages 1-65, September.
    22. Aoki, Kosuke, 2001. "Optimal monetary policy responses to relative-price changes," Journal of Monetary Economics, Elsevier, vol. 48(1), pages 55-80, August.
    23. Wolman, Alexander L, 2005. "Real Implications of the Zero Bound on Nominal Interest Rates," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 37(2), pages 273-296, April.
    24. John H. Cochrane, 2011. "Determinacy and Identification with Taylor Rules," Journal of Political Economy, University of Chicago Press, vol. 119(3), pages 565-615.
    25. Adam, Klaus & Billi, Roberto M., 2007. "Discretionary monetary policy and the zero lower bound on nominal interest rates," Journal of Monetary Economics, Elsevier, vol. 54(3), pages 728-752, April.
    26. Ragna Alstadheim, 2013. "How New Keynesian is the US Phillips curve?," Working Paper 2013/25, Norges Bank.
    27. Jeremy Rudd & Karl Whelan, 2007. "Modeling Inflation Dynamics: A Critical Review of Recent Research," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 39(s1), pages 155-170, February.
    28. S Borağan Aruoba & Pablo Cuba-Borda & Frank Schorfheide, 2018. "Macroeconomic Dynamics Near the ZLB: A Tale of Two Countries," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 85(1), pages 87-118.
    29. Gauti B. Eggertsson & Michael Woodford, 2004. "Policy Options in a Liquidity Trap," American Economic Review, American Economic Association, vol. 94(2), pages 76-79, May.
    30. Michael Woodford, 2001. "The Taylor Rule and Optimal Monetary Policy," American Economic Review, American Economic Association, vol. 91(2), pages 232-237, May.
    31. Sargent, Thomas J & Wallace, Neil, 1975. ""Rational" Expectations, the Optimal Monetary Instrument, and the Optimal Money Supply Rule," Journal of Political Economy, University of Chicago Press, vol. 83(2), pages 241-254, April.
    32. Vasco Cúrdia & Michael Woodford, 2010. "Credit Spreads and Monetary Policy," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 42(s1), pages 3-35, September.
    33. Paul R. Krugman, 1998. "It's Baaack: Japan's Slump and the Return of the Liquidity Trap," Brookings Papers on Economic Activity, Economic Studies Program, The Brookings Institution, vol. 29(2), pages 137-206.
    34. Ngo, Phuong V., 2014. "Optimal discretionary monetary policy in a micro-founded model with a zero lower bound on nominal interest rate," Journal of Economic Dynamics and Control, Elsevier, vol. 45(C), pages 44-65.
    35. John B. Taylor, 1999. "Monetary Policy Rules," NBER Books, National Bureau of Economic Research, Inc, number tayl99-1, September.
    36. Jeffrey C. Fuhrer & Brian F. Madigan, 1997. "Monetary Policy When Interest Rates Are Bounded At Zero," The Review of Economics and Statistics, MIT Press, vol. 79(4), pages 573-585, November.
    37. Gauti B. Eggertsson & Michael Woodford, 2003. "Optimal Monetary Policy in a Liquidity Trap," NBER Working Papers 9968, National Bureau of Economic Research, Inc.
    38. Michael Woodford, 2003. "Optimal Interest-Rate Smoothing," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 70(4), pages 861-886.
    39. Svensson, Lars-E-O, 2001. "The Zero Bound in an Open Economy: A Foolproof Way of Escaping from a Liquidity Trap," Monetary and Economic Studies, Institute for Monetary and Economic Studies, Bank of Japan, vol. 19(S1), pages 277-312, February.
    40. Taylor, John B., 1993. "Discretion versus policy rules in practice," Carnegie-Rochester Conference Series on Public Policy, Elsevier, vol. 39(1), pages 195-214, December.
    41. Alexander L. Wolman, 1998. "Staggered price setting and the zero bound on nominal interest rates," Economic Quarterly, Federal Reserve Bank of Richmond, issue Fall, pages 1-24.
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    JEL classification:

    • E31 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Price Level; Inflation; Deflation
    • E32 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Business Fluctuations; Cycles
    • E51 - Macroeconomics and Monetary Economics - - Monetary Policy, Central Banking, and the Supply of Money and Credit - - - Money Supply; Credit; Money Multipliers

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