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Set-valued risk statistics with the time value of money

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  • Fei Sun
  • Xiaozhi Fan
  • Weitao Liu

Abstract

The time value of money is a critical factor not only in risk analysis, but also in insurance and financial applications. In this paper, we consider a special class of set-valued risk statistics by introducing the time value of money. In fact, the risk statistics established by this method is closer to financial reality than traditional ones. Moreover, this new risk statistic can be uesd for the quantification of portfolio risk. By further developing the properties related to these risk statistics, we are able to derive representation results for such risk.

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  • Fei Sun & Xiaozhi Fan & Weitao Liu, 2019. "Set-valued risk statistics with the time value of money," Papers 1905.00486, arXiv.org, revised Aug 2021.
    • Handle: RePEc:arx:papers:1905.00486
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    References listed on IDEAS

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    3. Steven Kou & Xianhua Peng & Chris C. Heyde, 2013. "External Risk Measures and Basel Accords," Mathematics of Operations Research, INFORMS, vol. 38(3), pages 393-417, August.
    4. Hans Föllmer & Alexander Schied, 2002. "Convex measures of risk and trading constraints," Finance and Stochastics, Springer, vol. 6(4), pages 429-447.
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