English

Set-valued risk statistics with the time value of money

Risk Management 2021-08-20 v4 Probability

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.

Keywords

Cite

@article{arxiv.1905.00486,
  title  = {Set-valued risk statistics with the time value of money},
  author = {Fei Sun and Xiaozhi Fan and Weitao Liu},
  journal= {arXiv preprint arXiv:1905.00486},
  year   = {2021}
}

Comments

arXiv admin note: text overlap with arXiv:1904.11032, arXiv:1904.08829