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Predetermined interest rates in an analytical RBC model

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  • Patrick Fève
  • Alban Moura
  • Olivier Pierrard

Abstract

We solve a version of the analytical Real Business Cycle (RBC) model with a predetermined rate of return on household saving. The solution differs from that of the benchmark RBC model along two dimensions: (i) Policy functions depend on the variance of the technology shock. (ii) There is a suboptimal pattern of excess saving. We discuss the economic intuition underlying these properties. We also demonstrate that unconditional welfare can be higher in the suboptimal model with predetermined interest rates, providing a clear illustration of the pitfall with unconditional welfare comparisons.

Suggested Citation

  • Patrick Fève & Alban Moura & Olivier Pierrard, 2018. "Predetermined interest rates in an analytical RBC model," BCL working papers 123, Central Bank of Luxembourg.
    • Handle: RePEc:bcl:bclwop:bclwp123
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    References listed on IDEAS

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    1. Bernanke, Ben S. & Gertler, Mark & Gilchrist, Simon, 1999. "The financial accelerator in a quantitative business cycle framework," Handbook of Macroeconomics, in: J. B. Taylor & M. Woodford (ed.), Handbook of Macroeconomics, edition 1, volume 1, chapter 21, pages 1341-1393, Elsevier.
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    4. Kollmann, Robert & Enders, Zeno & Müller, Gernot J., 2011. "Global banking and international business cycles," European Economic Review, Elsevier, vol. 55(3), pages 407-426, April.
    5. Fève, Patrick & Moura, Alban & Pierrard, Olivier, 2018. "Predetermined interest rates in an analytical RBC model," Economics Letters, Elsevier, vol. 172(C), pages 12-15.
    6. Burnside, Craig, 1998. "Solving asset pricing models with Gaussian shocks," Journal of Economic Dynamics and Control, Elsevier, vol. 22(3), pages 329-340, March.
    7. Bennett T. McCallum, 1988. "Real Business Cycle Models," NBER Working Papers 2480, National Bureau of Economic Research, Inc.
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    9. Jonathan Hoddenbagh & Mikhail Dmitriev, 2017. "The Financial Accelerator and the Optimal State-Dependent Contract," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 24, pages 43-65, March.
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    11. Matteo Iacoviello, 2015. "Financial Business Cycles," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 18(1), pages 140-164, January.
    12. Andrea Gerali & Stefano Neri & Luca Sessa & Federico M. Signoretti, 2010. "Credit and Banking in a DSGE Model of the Euro Area," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 42(s1), pages 107-141, September.
    13. Gertler, Mark & Karadi, Peter, 2011. "A model of unconventional monetary policy," Journal of Monetary Economics, Elsevier, vol. 58(1), pages 17-34, January.
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    1. Fève, Patrick & Moura, Alban & Pierrard, Olivier, 2018. "Predetermined interest rates in an analytical RBC model," Economics Letters, Elsevier, vol. 172(C), pages 12-15.

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    More about this item

    Keywords

    RBC model; predetermined interest rates; over-saving; conditional and unconditional welfare.;
    All these keywords.

    JEL classification:

    • E13 - Macroeconomics and Monetary Economics - - General Aggregative Models - - - Neoclassical
    • E21 - Macroeconomics and Monetary Economics - - Consumption, Saving, Production, Employment, and Investment - - - Consumption; Saving; Wealth
    • E32 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Business Fluctuations; Cycles
    • E43 - Macroeconomics and Monetary Economics - - Money and Interest Rates - - - Interest Rates: Determination, Term Structure, and Effects

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