Issues with the Smith-Wilson method

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• 作者：Andreas Lager&aring ; s^a ; ^b ; ^{andreas@math.su.se} ; Mathias Lindholm^b
• 关键词：Smith&ndash ; Wilson ; Discount curve ; Yield curve ; Interpolation ; Extrapolation ; Hedging ; Totally positive matrix ; Solvency II
• 刊名：Insurance: Mathematics and Economics
• 出版年：2016
• 出版时间：November 2016
• 年：2016
• 卷：71
• 期：Complete
• 页码：93-102
• 全文大小：826 K
• 卷排序：71

文摘

We 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.