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Semi-Parametric Weak Instrument Regressions with an Application to the Risk-Return Trade-off

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  • PERRON, Benoît

Abstract

Recent work shows that a low correlation between the instruments and the included variables leads to serious inference problems. We extend the local-to-zero analysis of models with weak instruments to models with estimated instruments and regressors and with higher-order dependence between instruments and disturbances. This makes this framework applicable to linear models with expectation variables that are estimated non-parametrically. Two examples of such models are the risk-return trade-off in finance and the impact of inflation uncertainty on real economic activity. Results show that inference based on Lagrange Multiplier (LM) tests is more robust to weak instruments than Wald-based inference. Using LM confidence intervals leads us to conclude that no statistically significant risk premium is present in returns on the S&P 500 index, excess holding yields between 6-month and 3-month Treasury bills, or in yen-dollar spot returns.

Suggested Citation

  • PERRON, Benoît, 1999. "Semi-Parametric Weak Instrument Regressions with an Application to the Risk-Return Trade-off," Cahiers de recherche 9901, Universite de Montreal, Departement de sciences economiques.
    • Handle: RePEc:mtl:montde:9901
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    Cited by:

    1. Jean-Marie Dufour, 2003. "Identification, weak instruments, and statistical inference in econometrics," Canadian Journal of Economics, Canadian Economics Association, vol. 36(4), pages 767-808, November.
    2. Jean‐Marie Dufour, 2003. "Identification, weak instruments, and statistical inference in econometrics," Canadian Journal of Economics/Revue canadienne d'économique, John Wiley & Sons, vol. 36(4), pages 767-808, November.
    3. Dufour, Jean-Marie & Taamouti, Mohamed, 2007. "Further results on projection-based inference in IV regressions with weak, collinear or missing instruments," Journal of Econometrics, Elsevier, vol. 139(1), pages 133-153, July.
    4. Jean-Marie Dufour & Mohamed Taamouti, 2005. "Projection-Based Statistical Inference in Linear Structural Models with Possibly Weak Instruments," Econometrica, Econometric Society, vol. 73(4), pages 1351-1365, July.
    5. Sunita Narang & V. K. Bhalla, 2011. "Risk-Return Trade-Off in Indian Capital Market During Last Two Decades with Special Emphasis on Crisis Period," Annals - Economic and Administrative Series -, Faculty of Business and Administration, University of Bucharest, vol. 5(1), pages 77-98, December.

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    More about this item

    Keywords

    instrumental variables; weak instruments; local-to-zero analysis; LM tests; Wald tests; risk emium; exctations; semi-rametric models; kernels; neural networks;
    All these keywords.

    JEL classification:

    • C23 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Models with Panel Data; Spatio-temporal Models
    • C50 - Mathematical and Quantitative Methods - - Econometric Modeling - - - General
    • C53 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Forecasting and Prediction Models; Simulation Methods
    • C45 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - Neural Networks and Related Topics

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