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Nearly exact Bayesian estimation of non-linear no-arbitrage term structure models

Author

Listed:
  • Marcello Pericoli

    (Bank of Italy)

  • Marco Taboga

    (Bank of Italy)

Abstract

We propose a general method for the Bayesian estimation of nonlinear no-arbitrage term structure models. The main innovations we introduce are: 1) a computationally efficient method, based on deep learning techniques, for approximating no-arbitrage model-implied bond yields to any desired degree of accuracy; and 2) computational graph optimizations for accelerating the MCMC sampling of the model parameters and of the unobservable state variables that drive the short-term interest rate. We apply the proposed techniques for estimating a shadow rate model with a time-varying lower bound, in which the shadow rate can be driven by both spanned unobservable factors and unspanned macroeconomic factors.

Suggested Citation

  • Marcello Pericoli & Marco Taboga, 2018. "Nearly exact Bayesian estimation of non-linear no-arbitrage term structure models," Temi di discussione (Economic working papers) 1189, Bank of Italy, Economic Research and International Relations Area.
    • Handle: RePEc:bdi:wptemi:td_1189_18
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    References listed on IDEAS

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    1. Pericoli, Marcello & Taboga, Marco, 2012. "Bond risk premia, macroeconomic fundamentals and the exchange rate," International Review of Economics & Finance, Elsevier, vol. 22(1), pages 42-65.
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    Cited by:

    1. Andrea Colabella, 2019. "Do the ECB’s monetary policies benefit emerging market economies? A GVAR analysis on the crisis and post-crisis period," Temi di discussione (Economic working papers) 1207, Bank of Italy, Economic Research and International Relations Area.
    2. Giuseppe Grande & Adriana Grasso & Gabriele Zinna, 2019. "The effectiveness of the ECB’s asset purchases at the lower bound," Questioni di Economia e Finanza (Occasional Papers) 541, Bank of Italy, Economic Research and International Relations Area.
    3. Andrea Colabella, 2021. "Do ECB's Monetary Policies Benefit EMEs? A GVAR Analysis on the Global Financial and Sovereign Debt Crises and Postcrises Period," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 83(2), pages 472-494, April.

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    More about this item

    Keywords

    yield curve; shadow rate; deep learning; artificial intelligence;
    All these keywords.

    JEL classification:

    • C32 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes; State Space Models
    • E43 - Macroeconomics and Monetary Economics - - Money and Interest Rates - - - Interest Rates: Determination, Term Structure, and Effects
    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates

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