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An Application of Index Number Theory to Interest Rates: Evidence from Selected Post-Soviet Countries

Author

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  • Karen Poghosyan

    (Central Bank of Armenia, Yerevan, Armenia)

  • Ruben Poghosyan

    (Yerevan State University, Faculty of Physics, Yerevan, Armenia)

Abstract

In this paper, we use index number theory to decompose changes in total interest rate due to changes in the interest rate component and the weight component. We discuss the optimal calculation of a binary index using axiomatic index number theory. Based on this theory we compare alternative indexes and as a result, we choose the Marshall-Edgeworth index because most axioms are satisfied by this index. Comparing the results of binary periods decomposition, we conclude that the differences are not significant when we apply different indices. For multiple period comparison, we suggest using the chain index because it allows accounting for the weights evolution during the whole period. In addition, we derive a formula that could be useful for explaining the differences between chain and direct indexes when we produce multiple period comparison.

Suggested Citation

  • Karen Poghosyan & Ruben Poghosyan, 2022. "An Application of Index Number Theory to Interest Rates: Evidence from Selected Post-Soviet Countries," Journal of Central Banking Theory and Practice, Central bank of Montenegro, vol. 11(2), pages 165-186.
  • Handle: RePEc:cbk:journl:v:11:y:2022:i:2:p:165-186
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    References listed on IDEAS

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    1. Imam Mukhlis & Isnawati Hidayah & Nora Ria Retnasih, 2020. "Interest Rate Volatility of the Federal Funds Rate: Response of the Bank Indonesia and its Impact on the Indonesian Economic Stability," Journal of Central Banking Theory and Practice, Central bank of Montenegro, vol. 9(1), pages 111-133.
    2. W. Erwin Diewert, 2002. "Harmonized Indexes of Consumer Prices: Their Conceptual Foundations," Swiss Journal of Economics and Statistics (SJES), Swiss Society of Economics and Statistics (SSES), vol. 138(IV), pages 547-637, December.
    3. Nana Kwame Akosah & Paul Alagidede & Eric Schaling, 2020. "Interest Rate and Exchange Rate Volatility Spillovers: Multiscale Perspective of Monetary Policy Transmission in Ghana," Journal of Central Banking Theory and Practice, Central bank of Montenegro, vol. 9(1), pages 135-167.
    4. Mark A. Wynne, 1997. "Measuring short-run inflation for central bankers - commentary," Review, Federal Reserve Bank of St. Louis, issue May, pages 161-167.
    5. R. G. D. Allen, 1975. "Index Numbers in Theory and Practice," Palgrave Macmillan Books, Palgrave Macmillan, number 978-1-349-02312-7, December.
    6. W. Erwin Diewert, 2005. "Index Number Theory Using Differences Rather Than Ratios," American Journal of Economics and Sociology, Wiley Blackwell, vol. 64(1), pages 311-360, January.
    7. Huerga, Javier & Steklacova, Lucia, 2008. "An application of index numbers theory to interest rates," Working Paper Series 939, European Central Bank.
    8. Haryo Kuncoro, 2020. "Interest Rate Policy and Exchange Rates Volatility Lessons from Indonesia," Journal of Central Banking Theory and Practice, Central bank of Montenegro, vol. 9(2), pages 19-42.
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    More about this item

    Keywords

    index number; interest rate; chain and direct indexes; post-Soviet countries.;
    All these keywords.

    JEL classification:

    • C43 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - Index Numbers and Aggregation
    • E43 - Macroeconomics and Monetary Economics - - Money and Interest Rates - - - Interest Rates: Determination, Term Structure, and Effects

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