Intragroup transfers, intragroup diversification and their risk assessment
Tóm tắt
When assessing group solvency, an important question is to what extent intragroup transfers may be taken into account, as this determines to which extent diversification can be achieved. We suggest a framework to explicitly describe the families of admissible transfers that range from the free movement of capital to excluding any transactions. The constraints on admissible transactions are described as random closed sets. The paper focuses on the corresponding solvency tests that amount to the existence of acceptable selections of the random sets of admissible transactions.
Tài liệu tham khảo
Acciaio, B.: Optimal risk sharing with non-monotone monetary functionals. Finance Stoch. 11, 267–289 (2007)
Acciaio, B., Svindland, G.: Optimal risk sharing with different reference probabilities. Insur. Math. Econ. 44, 426–433 (2009)
Amini H., Filipović D., Minca A.: Systemic risk with cetral counterparty clearing. Research paper series 13-34, Swiss Finance Institute (2013)
Asimit, A.V., Badescu, A.M., Tsanakas, A.: Optimal risk transfers in insurance groups. Eur. Actuar. J. 3, 159–190 (2013)
Aubin, J.P., Frankowska, H.: Set-Valued Analysis, System and Control, Foundation and Applications, vol. 2. Birkhäuser, Boston (1990)
Barrieu, P., El Karoui, N.: Inf-convolution of risk measures and optimal risk transfer. Finance Stoch. 9, 269–298 (2005)
Barrieu, P., Scandolo, G.: General Pareto optimal allocations and applications to multi-period risks. Astin Bull. 38, 105–136 (2008)
Cascos, I., Molchanov, I.: Multivariate risks and depth-trimmed regions. Finance Stoch. 11, 373–397 (2007)
Delbaen, F.: Monetary Utility Functions. Osaka University Press, Osaka (2012)
Feinstein, Z., Rudloff, B., Weber, S.: Measures of systemic risk. Tech. rep. arXiv:1502.07961v2 [q-fin.RM] (2015)
Filipović, D., Kunz, A.: Realizable group diversification effects. Life Pensions 33–40, May 2008
Filipović, D., Kupper, M.: On the group level Swiss Solvency Test. Bull. Swiss Assoc. Actuar. 1, 97–115 (2007)
Filipović, D., Kupper, M.: Optimal capital and risk transfers for group diversification. Math. Finance 18, 55–76 (2008)
Filipović, D., Svindland, G.: Optimal capital and risk allocations for law- and cash-invariant convex functions. Finance Stoch. 12, 423–439 (2008)
Gerber, H.U.: An Introduction to Mathematical Risk Theory, Huebner Foundation Monograph, vol. 8. Wharton School, University of Pennsylvania (1979)
Hamel, A.H., Heyde, F.: Duality for set-valued measures of risk. SIAM J. Financ. Math. 1, 66–95 (2010)
Hamel, A.H., Heyde, F., Rudloff, B.: Set-valued risk measures for conical market models. Math. Financ. Econ. 5, 1–28 (2011)
Hamel, A.H., Rudloff, B., Yankova, M.: Set-valued average value at risk and its computation. Math. Financ. Econ. 7, 229–246 (2013)
Jouini, E., Schachermayer, W., Touzi, N.: Optimal risk sharing for law invariant monetary utility functions. Math. Finance 18, 269–292 (2008)
Kabanov, Y.M., Safarian, M.: Markets with Transaction Costs. Mathematical Theory. Springer, Berlin (2009)
Kaina, M., Rüschendorf, L.: On convex risk measures on \(L^p\)-spaces. Math. Methods Oper. Res. 69, 475–495 (2009)
Keller, P.: Group diversification. Geneva Pap. 38, 382–392 (2007)
Kiesel, L., Rüschendorf, L.: On optimal allocation of risk vectors. Insur. Math. Econ. 47, 167–175 (2010)
Luder, T.: Modelling of risks in insurance groups for the Swiss Solvency Test. Bull. Swiss Assoc. Actuar. 1, 85–96 (2007)
Masayasu, K.: Insurance group risk management model for the next-generation solvency framework. APJRI 7, 27–52 (2013)
Molchanov, I.: Theory of Random Sets. Springer, London (2005)
Molchanov, I., Cascos, I.: Multivariate risk measures: a constructive approach based on selections. Math. Finance 26, 867–900 (2016)
Ravanelli, C., Svindland, G.: Comonotone Pareto optimal allocations for law invariant robust utilities on \(L^{1}\). Finance Stoch. 18, 249–269 (2014)