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Volumn 43, Issue 2, 2008, Pages 263-269

Weighted risk capital allocations

Author keywords

General covariance decomposition; Regression function; Stein's Lemma; Weighted allocations; Weighted distributions; Weighted premiums; Weighted risk capital allocation model (WRCAM)

Indexed keywords


EID: 51649109552     PISSN: 01676687     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.insmatheco.2008.07.003     Document Type: Article
Times cited : (110)

References (62)
  • 1
    • 0004231080 scopus 로고
    • International Cooperative Publishing House, Silver Spring, Maryland
    • Arnold B.C. Pareto Distributions (1983), International Cooperative Publishing House, Silver Spring, Maryland
    • (1983) Pareto Distributions
    • Arnold, B.C.1
  • 3
    • 0001366584 scopus 로고
    • Capital market equilibrium with restricted borrowing
    • Black F. Capital market equilibrium with restricted borrowing. Journal of Business 45 (1972) 444-455
    • (1972) Journal of Business , vol.45 , pp. 444-455
    • Black, F.1
  • 4
    • 79955665625 scopus 로고
    • An economic premium principle
    • Bühlmann H. An economic premium principle. ASTIN Bulletin 11 (1980) 52-60
    • (1980) ASTIN Bulletin , vol.11 , pp. 52-60
    • Bühlmann, H.1
  • 5
    • 0000550414 scopus 로고
    • The general economic premium principle
    • Bühlmann H. The general economic premium principle. ASTIN Bulletin 14 (1984) 13-21
    • (1984) ASTIN Bulletin , vol.14 , pp. 13-21
    • Bühlmann, H.1
  • 6
    • 27944469551 scopus 로고    scopus 로고
    • Conditional tail expectations for multivariate phase-type distributions
    • Cai J., and Li H. Conditional tail expectations for multivariate phase-type distributions. Journal of Applied Probability 42 (2005) 810-825
    • (2005) Journal of Applied Probability , vol.42 , pp. 810-825
    • Cai, J.1    Li, H.2
  • 7
    • 51649105992 scopus 로고    scopus 로고
    • Multivariate Pareto portfolios: TCE-based capital allocation and divided differences
    • Chiragiev A., and Landsman Z. Multivariate Pareto portfolios: TCE-based capital allocation and divided differences. Scandinavian Actuarial Journal 4 (2007) 261-280
    • (2007) Scandinavian Actuarial Journal , vol.4 , pp. 261-280
    • Chiragiev, A.1    Landsman, Z.2
  • 8
    • 0012800564 scopus 로고    scopus 로고
    • Coherent allocation of risk capital
    • Denault M. Coherent allocation of risk capital. Journal of Risk 4 (2001) 7-21
    • (2001) Journal of Risk , vol.4 , pp. 7-21
    • Denault, M.1
  • 16
    • 37248998894 scopus 로고    scopus 로고
    • Optimal capital and risk transfers for group diversification
    • Filipović D., and Kupper M. Optimal capital and risk transfers for group diversification. Mathematical Finance 18 (2008) 55-76
    • (2008) Mathematical Finance , vol.18 , pp. 55-76
    • Filipović, D.1    Kupper, M.2
  • 17
    • 29144495510 scopus 로고    scopus 로고
    • Risk capital decomposition for a multivariate dependent gamma portfolio
    • Furman E., and Landsman Z. Risk capital decomposition for a multivariate dependent gamma portfolio. Insurance: Mathematics and Economics 37 (2005) 635-649
    • (2005) Insurance: Mathematics and Economics , vol.37 , pp. 635-649
    • Furman, E.1    Landsman, Z.2
  • 18
    • 35348826278 scopus 로고    scopus 로고
    • Tail variance premium with applications for elliptical portfolio of risks
    • Furman E., and Landsman Z. Tail variance premium with applications for elliptical portfolio of risks. ASTIN Bulletin 36 (2006) 433-462
    • (2006) ASTIN Bulletin , vol.36 , pp. 433-462
    • Furman, E.1    Landsman, Z.2
  • 19
    • 51649100310 scopus 로고    scopus 로고
    • Furman, E., Landsman, Z., 2007. Economic capital allocations for non-negative portfolios of dependent risks. In: Proceedings of the 37-th International ASTIN Colloquium, Orlando. http://www.actuaries.org/ASTIN/Colloquia/Orlando/Papers/Furman.pdf
    • Furman, E., Landsman, Z., 2007. Economic capital allocations for non-negative portfolios of dependent risks. In: Proceedings of the 37-th International ASTIN Colloquium, Orlando. http://www.actuaries.org/ASTIN/Colloquia/Orlando/Papers/Furman.pdf
  • 21
    • 51649121785 scopus 로고    scopus 로고
    • Gerber, H.U., 1979. An introduction to mathematical risk theory. University of Pennsylvania, Philadelphia
    • Gerber, H.U., 1979. An introduction to mathematical risk theory. University of Pennsylvania, Philadelphia
  • 23
  • 25
    • 40949100441 scopus 로고    scopus 로고
    • Actuarial risk measures for financial derivative pricing
    • Goovaerts M., and Laeven R. Actuarial risk measures for financial derivative pricing. Insurance: Mathematics and Economics 42 (2008) 540-547
    • (2008) Insurance: Mathematics and Economics , vol.42 , pp. 540-547
    • Goovaerts, M.1    Laeven, R.2
  • 26
    • 38249025343 scopus 로고
    • Decision theoretic foundations of credibility theory
    • Heilmann W.R. Decision theoretic foundations of credibility theory. Insurance: Mathematics and Economics 8 (1989) 77-95
    • (1989) Insurance: Mathematics and Economics , vol.8 , pp. 77-95
    • Heilmann, W.R.1
  • 27
    • 0141537174 scopus 로고    scopus 로고
    • A rank-dependent generalization of zero utility principle
    • Heilpern S. A rank-dependent generalization of zero utility principle. Insurance: Mathematics and Economics 33 (2003) 67-73
    • (2003) Insurance: Mathematics and Economics , vol.33 , pp. 67-73
    • Heilpern, S.1
  • 28
    • 51649106811 scopus 로고    scopus 로고
    • Hesselager, O., Andersson, U., 2002. Risk sharing and risk capital allocation. Working paper. Tryg Insurance. Ballerup, Denmark
    • Hesselager, O., Andersson, U., 2002. Risk sharing and risk capital allocation. Working paper. Tryg Insurance. Ballerup, Denmark
  • 29
    • 85011465033 scopus 로고    scopus 로고
    • Analytical evaluation of economic risk capitals for portfolio of gamma risks
    • Hürlimann W. Analytical evaluation of economic risk capitals for portfolio of gamma risks. ASTIN Bulletin 31 (2001) 107-122
    • (2001) ASTIN Bulletin , vol.31 , pp. 107-122
    • Hürlimann, W.1
  • 30
    • 51649087467 scopus 로고    scopus 로고
    • Kaas, R., van Heerwaarden, A.E., Goovaerts, M.J., 1994. Ordering of Actuarial Risks. In: CAIRE Education Series, Brussels
    • Kaas, R., van Heerwaarden, A.E., Goovaerts, M.J., 1994. Ordering of Actuarial Risks. In: CAIRE Education Series, Brussels
  • 31
    • 0347277246 scopus 로고    scopus 로고
    • On a class of premium principles including the Esscher principle
    • Kamps U. On a class of premium principles including the Esscher principle. Scandinavian Actuarial Journal 1 (1998) 75-80
    • (1998) Scandinavian Actuarial Journal , vol.1 , pp. 75-80
    • Kamps, U.1
  • 33
    • 4644277935 scopus 로고    scopus 로고
    • An optimization approach to the dynamic allocation of economic capital
    • Laeven R., and Goovaerts M. An optimization approach to the dynamic allocation of economic capital. Insurance: Mathematics and Economics 35 (2004) 299-319
    • (2004) Insurance: Mathematics and Economics , vol.35 , pp. 299-319
    • Laeven, R.1    Goovaerts, M.2
  • 34
    • 33645544814 scopus 로고    scopus 로고
    • On the generalization of Stein's Lemma for elliptical class of distributions
    • Landsman Z. On the generalization of Stein's Lemma for elliptical class of distributions. Statistics and Probability Letters 76 (2006) 1012-1016
    • (2006) Statistics and Probability Letters , vol.76 , pp. 1012-1016
    • Landsman, Z.1
  • 36
    • 51649123533 scopus 로고    scopus 로고
    • An actuarial premium pricing model for nonnormal insurance and financial risks in incomplete markets
    • Landsman Z., and Sherris M. An actuarial premium pricing model for nonnormal insurance and financial risks in incomplete markets. North American Actuarial Journal 11 1 (2007) 119-135
    • (2007) North American Actuarial Journal , vol.11 , Issue.1 , pp. 119-135
    • Landsman, Z.1    Sherris, M.2
  • 37
    • 85011180246 scopus 로고    scopus 로고
    • Tail conditional expectation for elliptical distributions
    • Landsman Z., and Valdez E. Tail conditional expectation for elliptical distributions. North American Actuarial Journal 7 4 (2003) 55-71
    • (2003) North American Actuarial Journal , vol.7 , Issue.4 , pp. 55-71
    • Landsman, Z.1    Valdez, E.2
  • 39
    • 84980100064 scopus 로고
    • Security prices, risk, and maximal gains from diversification
    • Lintner J. Security prices, risk, and maximal gains from diversification. Journal of Finance 20 4 (1965) 587-615
    • (1965) Journal of Finance , vol.20 , Issue.4 , pp. 587-615
    • Lintner, J.1
  • 42
    • 84974307179 scopus 로고
    • Economic premium principles in insurance and the capital asset pricing model
    • Muller H.H. Economic premium principles in insurance and the capital asset pricing model. ASTIN Bulletin 17 (1987) 141-150
    • (1987) ASTIN Bulletin , vol.17 , pp. 141-150
    • Muller, H.H.1
  • 43
    • 51649092208 scopus 로고    scopus 로고
    • Panjer, H.H., 2002. Measurement of risk, solvency requirements and allocation of capital within financial conglomerates. Institute of Insurance and Pension Research Report 01-15. University of Waterloo, Waterloo
    • Panjer, H.H., 2002. Measurement of risk, solvency requirements and allocation of capital within financial conglomerates. Institute of Insurance and Pension Research Report 01-15. University of Waterloo, Waterloo
  • 44
    • 51649102128 scopus 로고    scopus 로고
    • Panjer, H., Jing, J., 2001. Solvency and capital allocation. University of Waterloo, Institute of Insurance and Pension Research, Research Report 01-14, 1-8
    • Panjer, H., Jing, J., 2001. Solvency and capital allocation. University of Waterloo, Institute of Insurance and Pension Research, Research Report 01-14, 1-8
  • 46
    • 45249096250 scopus 로고    scopus 로고
    • Testing hypotheses about absolute concentration curves and marginal conditional stochastic dominance
    • Schechtman E., Shelef A., Yitzhaki S., and Zitikis R. Testing hypotheses about absolute concentration curves and marginal conditional stochastic dominance. Econometric Theory 24 (2008) 1044-1062
    • (2008) Econometric Theory , vol.24 , pp. 1044-1062
    • Schechtman, E.1    Shelef, A.2    Yitzhaki, S.3    Zitikis, R.4
  • 47
    • 0013556245 scopus 로고
    • Marginal conditional stochastic dominance
    • Shalit H., and Yitzhaki S. Marginal conditional stochastic dominance. Management Science 40 (1994) 670-684
    • (1994) Management Science , vol.40 , pp. 670-684
    • Shalit, H.1    Yitzhaki, S.2
  • 48
    • 84980092818 scopus 로고
    • Capital asset prices: A theory of market equilibrium under conditions of risk
    • Sharpe W.F. Capital asset prices: A theory of market equilibrium under conditions of risk. Journal of Finance 19 (1964) 425-442
    • (1964) Journal of Finance , vol.19 , pp. 425-442
    • Sharpe, W.F.1
  • 49
    • 0000169918 scopus 로고
    • Estimation of the mean of a multivariate normal distribution
    • Stein C.M. Estimation of the mean of a multivariate normal distribution. Annals of Statistics 9 (1981) 1135-1151
    • (1981) Annals of Statistics , vol.9 , pp. 1135-1151
    • Stein, C.M.1
  • 50
    • 51649121375 scopus 로고    scopus 로고
    • Tasche, D., 1999. Risk contributions and performance measurement. Technical Report. Zentrum Mathematik (SCA), TU München, München, pp. 1-26
    • Tasche, D., 1999. Risk contributions and performance measurement. Technical Report. Zentrum Mathematik (SCA), TU München, München, pp. 1-26
  • 51
    • 40949108014 scopus 로고    scopus 로고
    • Risk measurement in the presence of background risk
    • Tsanakas A. Risk measurement in the presence of background risk. Insurance: Mathematics and Economics 42 (2008) 520-528
    • (2008) Insurance: Mathematics and Economics , vol.42 , pp. 520-528
    • Tsanakas, A.1
  • 52
    • 0242276302 scopus 로고    scopus 로고
    • Risk capital allocation and cooperative pricing of insurance liabilities
    • Tsanakas A., and Barnett C. Risk capital allocation and cooperative pricing of insurance liabilities. Insurance: Mathematics and Economics 33 (2003) 239-254
    • (2003) Insurance: Mathematics and Economics , vol.33 , pp. 239-254
    • Tsanakas, A.1    Barnett, C.2
  • 53
  • 54
    • 0345375521 scopus 로고    scopus 로고
    • Wang's capital allocation formula for elliptically contoured distributions
    • Valdez E., and Chernih A. Wang's capital allocation formula for elliptically contoured distributions. Insurance: Mathematics and Economics 33 3 (2003) 517-532
    • (2003) Insurance: Mathematics and Economics , vol.33 , Issue.3 , pp. 517-532
    • Valdez, E.1    Chernih, A.2
  • 55
    • 85011215860 scopus 로고    scopus 로고
    • Capital allocation survey with commentary
    • Venter G.G. Capital allocation survey with commentary. North American Actuarial Journal 8 2 (2004) 96-107
    • (2004) North American Actuarial Journal , vol.8 , Issue.2 , pp. 96-107
    • Venter, G.G.1
  • 56
    • 33644863485 scopus 로고    scopus 로고
    • Multivariate skew-normal distributions with applications in insurance
    • Vernic R. Multivariate skew-normal distributions with applications in insurance. Insurance: Mathematics and Economics 38 (2008) 413-426
    • (2008) Insurance: Mathematics and Economics , vol.38 , pp. 413-426
    • Vernic, R.1
  • 57
    • 84981705128 scopus 로고
    • Insurance pricing and increased limits ratemaking by proportional hazards transforms
    • Wang S. Insurance pricing and increased limits ratemaking by proportional hazards transforms. Insurance: Mathematics and Economics 17 (1995) 43-54
    • (1995) Insurance: Mathematics and Economics , vol.17 , pp. 43-54
    • Wang, S.1
  • 58
    • 85011528623 scopus 로고    scopus 로고
    • Premium calculation by transforming the layer premium density
    • Wang S. Premium calculation by transforming the layer premium density. ASTIN Bulletin 26 (1996) 71-92
    • (1996) ASTIN Bulletin , vol.26 , pp. 71-92
    • Wang, S.1
  • 59
    • 85011137597 scopus 로고    scopus 로고
    • An actuarial index of the right-tail risk
    • Wang S. An actuarial index of the right-tail risk. North American Actuarial Journal 2 2 (1998) 88-101
    • (1998) North American Actuarial Journal , vol.2 , Issue.2 , pp. 88-101
    • Wang, S.1
  • 60
    • 51649103851 scopus 로고    scopus 로고
    • Wang, S., 2002. A set of new methods and tools for enterprize risk capital management and portfolio optimization. CAS Summer Forum. Dynamic Financial Analysis Discussion Papers, pp. 43-78
    • Wang, S., 2002. A set of new methods and tools for enterprize risk capital management and portfolio optimization. CAS Summer Forum. Dynamic Financial Analysis Discussion Papers, pp. 43-78
  • 61
    • 51649109183 scopus 로고    scopus 로고
    • Normalized exponential tilting: Pricing and measuring multivariate risks
    • Wang S. Normalized exponential tilting: Pricing and measuring multivariate risks. North American Actuarial Journal 11 3 (2007) 89-99
    • (2007) North American Actuarial Journal , vol.11 , Issue.3 , pp. 89-99
    • Wang, S.1
  • 62
    • 33646535184 scopus 로고    scopus 로고
    • Premium principles
    • Teugels J.L., and Sundt B. (Eds), Wiley, New York
    • Young V.R. Premium principles. In: Teugels J.L., and Sundt B. (Eds). Encyclopedia of Actuarial Science (2004), Wiley, New York
    • (2004) Encyclopedia of Actuarial Science
    • Young, V.R.1


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