TY - JOUR
T1 - Holistic principle for risk aggregation and capital allocation
AU - Chong, Wing Fung
AU - Feng, Runhuan
AU - Jin, Longhao
N1 - Funding Information:
The research of Wing Fung Chong is supported by start-up funds provided by the Department of Mathematics and Department of Statistics, University of Illinois at Urbana-Champaign. Runhuan Feng acknowledges the support of the State Farm Companies Foundation Endowment. This research is also partially funded by a Center of Actuarial Excellence (CAE) Research Grant (2019–2021) from the Society of Actuaries.
Publisher Copyright:
© 2021, The Author(s).
PY - 2021/2/26
Y1 - 2021/2/26
N2 - Risk aggregation and capital allocation are of paramount importance in business, as they play critical roles in pricing, risk management, project financing, performance management, regulatory supervision, etc. The state-of-the-art practice often includes two steps: (i) determine standalone capital requirements for individual business lines and aggregate them at a corporate level; and (ii) allocate the total capital back to individual lines of business or at more granular levels. There are three pitfalls with such a practice, namely, lack of consistency, negligence of cost of capital, and disentanglement of allocated capitals from standalone capitals. In this paper, we introduce a holistic approach that aims to strike a balance of optimality by taking into account competing interests of various stakeholders and conflicting priorities in a corporate hierarchy. While unconventional in its objective, the new approach results in an allocation of diversification benefit, which conforms to the diversification strategy of many risk management frameworks including regulatory capital and economic capital. The holistic capital setting and allocation principle provides a remedy to aforementioned problems with the existing two-step industry practice.
AB - Risk aggregation and capital allocation are of paramount importance in business, as they play critical roles in pricing, risk management, project financing, performance management, regulatory supervision, etc. The state-of-the-art practice often includes two steps: (i) determine standalone capital requirements for individual business lines and aggregate them at a corporate level; and (ii) allocate the total capital back to individual lines of business or at more granular levels. There are three pitfalls with such a practice, namely, lack of consistency, negligence of cost of capital, and disentanglement of allocated capitals from standalone capitals. In this paper, we introduce a holistic approach that aims to strike a balance of optimality by taking into account competing interests of various stakeholders and conflicting priorities in a corporate hierarchy. While unconventional in its objective, the new approach results in an allocation of diversification benefit, which conforms to the diversification strategy of many risk management frameworks including regulatory capital and economic capital. The holistic capital setting and allocation principle provides a remedy to aforementioned problems with the existing two-step industry practice.
KW - Capital allocation
KW - Diversification benefit
KW - Pareto optimality
KW - Risk aggregation
KW - Risk management
UR - http://www.scopus.com/inward/record.url?scp=85101758542&partnerID=8YFLogxK
U2 - 10.1007/s10479-021-03987-4
DO - 10.1007/s10479-021-03987-4
M3 - Article
SN - 0254-5330
JO - Annals of Operations Research
JF - Annals of Operations Research
ER -