The portfolios are a critical factor not only in risk analysis, but also in insurance and financial applications. In this paper, we consider a special class of  risk statistics from the perspective of time value of the money. This new risk statistic can be uesd for the quantification of portfolio risk. By further developing the properties related to cash sub-additive risk statistics, we are able to derive representation results for such risk.
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 from the perspective of time value of money. 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.
R
portfolios are
time value of money is
A
set-valued
D
the
R
cash sub-additive
these