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Stripping the Discount Curve - a Robust Machine Learning Approach

Author

Listed:
  • Damir Filipović

    (Ecole Polytechnique Fédérale de Lausanne; Swiss Finance Institute)

  • Markus Pelger

    (Stanford University - Department of Management Science & Engineering)

  • Ye Ye

    (Stanford University)

Abstract

We introduce a robust, flexible and easy-to-implement method for estimating the yield curve from Treasury securities. This method is non-parametric and optimally learns basis functions in reproducing Hilbert spaces with an economically motivated smoothness reward. We provide a closed-form solution of our machine learning estimator as a simple kernel ridge regression, which is straightforward and fast to implement. We show in an extensive empirical study on U.S. Treasury securities, that our method strongly dominates all parametric and non-parametric benchmarks. Our method achieves substantially smaller out-of-sample yield and pricing errors, while being robust to outliers and data selection choices. We attribute the superior performance to the optimal trade-off between flexibility and smoothness, which positions our method as the new standard for yield curve estimation.

Suggested Citation

  • Damir Filipović & Markus Pelger & Ye Ye, 2022. "Stripping the Discount Curve - a Robust Machine Learning Approach," Swiss Finance Institute Research Paper Series 22-24, Swiss Finance Institute.
  • Handle: RePEc:chf:rpseri:rp2224
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    File URL: https://papers.ssrn.com/sol3/papers.cfm?abstract_id=4058150
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    Citations

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    Cited by:

    1. Darrell Duffie & Michael J. Fleming & Frank M. Keane & Claire Nelson & Or Shachar & Peter Van Tassel, 2023. "Dealer Capacity and U.S. Treasury Market Functionality," Staff Reports 1070, Federal Reserve Bank of New York.
    2. Eric Luxenberg & Philipp Schiele & Stephen Boyd, 2022. "Robust Bond Portfolio Construction via Convex-Concave Saddle Point Optimization," Papers 2212.02570, arXiv.org, revised Jan 2024.
    3. Dennis Schroers, 2024. "Robust Functional Data Analysis for Stochastic Evolution Equations in Infinite Dimensions," Papers 2401.16286, arXiv.org.

    More about this item

    Keywords

    yield curve estimation; U.S. Treasury securities; term structure of interest rates; nonparametric method; machine learning in finance; reproducing kernel Hilbert space;
    All these keywords.

    JEL classification:

    • C14 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Semiparametric and Nonparametric Methods: General
    • C38 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Classification Methdos; Cluster Analysis; Principal Components; Factor Analysis
    • C55 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Large Data Sets: Modeling and Analysis
    • 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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