Non-Cash Risk Measure on Nonconvex Sets

Non-Cash Risk Measure on Nonconvex Sets
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非凸集上的非现金风险度量

DOI:
10.3390/math6100186
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发表时间:
2018-10
期刊:
影响因子:
2.4
通讯作者:
Peibiao Zhao
Peibiao Zhao
中科院分区:
数学3区
文献类型:
--
作者:
Chang Cong;Peibiao Zhao

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Monetary risk measures are interpreted as the smallest amount of external cash that must be added to a financial position to make the position acceptable. In this paper, A new concept: non-cash risk measure is proposed and this measure provides an approach to transform the unacceptable positions into the acceptable positions in a nonconvex set. Non-cash risk measure uses not only cash but also other kinds of assets to adjust the position. This risk measure is nonconvex due to the use of optimization problem in L 1 norm. A convex extension of the nonconvex risk measure is derived and the relationship between the convex extension and the non-cash risk measure is detailed.
DOI: 10.1142/s021759591750035x
发表时间: 2017-12
期刊: Asia Pac. J. Oper. Res.
影响因子: --
作者:
J. Vakili
通讯作者: J. Vakili
DOI: 10.1007/978-3-658-27956-1_2
发表时间: 2019
期刊: Finanzwirtschaft, Banken und Bankmanagement I Finance, Banks and Bank Management
影响因子: --
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通讯作者: Gevorg Hunanyan
DOI: 10.1080/17442508.2015.1086348
发表时间: 2014-05
期刊: Stochastics
影响因子: --
作者:
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通讯作者: E. Lépinette;T. Tran
DOI: 10.2139/ssrn.2666440
发表时间: 2015-09
期刊: Econometric Modeling: Capital Markets - Asset Pricing eJournal
影响因子: --
作者:
E. Lépinette;T. Tran
通讯作者: E. Lépinette;T. Tran
DOI: 10.1016/s0378-4266(02)00283-2
发表时间: 2002-07-01
影响因子: 3.7
作者:
Acerbi, C;Tasche, D
通讯作者: Tasche, D