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Modelling Spot Rate Process in the Russian Treasury Bills Market


  • Sergey Drobyshevsky

    (Gaidar Institute for Economic Policy)


The paper deals with modelling of spot rate process in the market for government securities in transitional economy. The case of the Russian Treasury bills market is taken as an example. We use three approaches to estimation of parameters of spot rate stochastic process: AR-GARCH time series models, GMM estimates and stochastic volatility models (QML estimates and Kalman filter). The most general conclusion is that pattern of spot rate process in transitional economy can be nested in existing theoretical model of term structure of interest rates. Estimated parameters of the spot rate process indicate that the Russian market for government securities by its features is closer to the European financial markets compared to the market for US Treasury bills. This conclusion is supported by estimates of parameters of the GKO spot rate stochastic process using both the GMM and QML estimates of spot rate nonlinear models. The Cox-Ingersoll-Ross 1985 model of term structure of interest rates is the most adequate for the Russian GKO market. The behaviour of the term structure of GKO yields in 1994 through 1998 did not contradict to theoretical conclusions from the model; analytical yield curves have satisfactory accuracy of approximation of actual GKO yield curves. The spot rate stochastic process is mean-reverting, but its variance although being stochastic does not exhibit mean-reverting property (according to Kalman filter estimates). The stochastic nature of spot rate volatility origins from different responses to 'good' and 'bad' news and a proportion to current spot rate level (but less than one by one).

Suggested Citation

  • Sergey Drobyshevsky, 2000. "Modelling Spot Rate Process in the Russian Treasury Bills Market," Working Papers 0018, Gaidar Institute for Economic Policy, revised 2000.
  • Handle: RePEc:gai:wpaper:0018

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    References listed on IDEAS

    1. Argia M. Sbordone & Timothy Cogley, 2004. "A Search for a Structural Phillips Curve," Computing in Economics and Finance 2004 291, Society for Computational Economics.
    2. Guido Ascari, 2004. "Staggered Prices and Trend Inflation: Some Nuisances," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 7(3), pages 642-667, July.
    3. Sbordone, Argia M., 2007. "Inflation persistence: Alternative interpretations and policy implications," Journal of Monetary Economics, Elsevier, vol. 54(5), pages 1311-1339, July.
    4. Gali, Jordi & Gertler, Mark & Lopez-Salido, J. David, 2001. "European inflation dynamics," European Economic Review, Elsevier, vol. 45(7), pages 1237-1270.
    5. Gali, Jordi & Gertler, Mark & David Lopez-Salido, J., 2005. "Robustness of the estimates of the hybrid New Keynesian Phillips curve," Journal of Monetary Economics, Elsevier, vol. 52(6), pages 1107-1118, September.
    6. Lawrence J. Christiano & Martin Eichenbaum & Charles L. Evans, 2005. "Nominal Rigidities and the Dynamic Effects of a Shock to Monetary Policy," Journal of Political Economy, University of Chicago Press, vol. 113(1), pages 1-45, February.
    7. Beveridge, Stephen & Nelson, Charles R., 1981. "A new approach to decomposition of economic time series into permanent and transitory components with particular attention to measurement of the `business cycle'," Journal of Monetary Economics, Elsevier, vol. 7(2), pages 151-174.
    8. Jacquier, Eric & Polson, Nicholas G & Rossi, Peter E, 1994. "Bayesian Analysis of Stochastic Volatility Models: Comments: Reply," Journal of Business & Economic Statistics, American Statistical Association, vol. 12(4), pages 413-417, October.
    9. Timothy Cogley & Argia M. Sbordone, 2008. "Trend Inflation, Indexation, and Inflation Persistence in the New Keynesian Phillips Curve," American Economic Review, American Economic Association, vol. 98(5), pages 2101-2126, December.
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    More about this item


    spot rate; treasury bills;

    JEL classification:

    • C22 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes
    • E43 - Macroeconomics and Monetary Economics - - Money and Interest Rates - - - Interest Rates: Determination, Term Structure, and Effects
    • P24 - Economic Systems - - Socialist Systems and Transition Economies - - - National Income, Product, and Expenditure; Money; Inflation


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