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Issues with the Smith-Wilson method

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  • Andreas Lager{aa}s
  • Mathias Lindholm

Abstract

The objective of the present paper is to analyse various features of the Smith-Wilson method used for discounting under the EU regulation Solvency II, with special attention to hedging. In particular, we show that all key rate duration hedges of liabilities beyond the Last Liquid Point will be peculiar. Moreover, we show that there is a connection between the occurrence of negative discount factors and singularities in the convergence criterion used to calibrate the model. The main tool used for analysing hedges is a novel stochastic representation of the Smith-Wilson method. Further, we provide necessary conditions needed in order to construct similar, but hedgeable, discount curves.

Suggested Citation

  • Andreas Lager{aa}s & Mathias Lindholm, 2016. "Issues with the Smith-Wilson method," Papers 1602.02011, arXiv.org.
    • Handle: RePEc:arx:papers:1602.02011
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    Cited by:

    1. Jørgensen, Peter Løchte, 2018. "An analysis of the Solvency II regulatory framework’s Smith-Wilson model for the term structure of risk-free interest rates," Journal of Banking & Finance, Elsevier, vol. 97(C), pages 219-237.
    2. Lutz Kruschwitz, 2018. "Das Problem der Anschlussverzinsung," Schmalenbach Journal of Business Research, Springer, vol. 70(1), pages 9-45, March.
    3. Zhao, Chaoyi & Jia, Zijian & Wu, Lan, 2024. "Construct Smith-Wilson risk-free interest rate curves with endogenous and positive ultimate forward rates," Insurance: Mathematics and Economics, Elsevier, vol. 114(C), pages 156-175.

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