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Volumn 36, Issue 2, 2006, Pages 433-462

Tail variance premium with applications for elliptical portfolio of risks

Author keywords

Elliptical distributions; Premium calculation principle; Risk capital allocation; Risk measure; Tail conditional expectation; Tail covariance premium; Tail standard deviation premium; Tail variance premium

Indexed keywords


EID: 35348826278     PISSN: 05150361     EISSN: 17831350     Source Type: Journal    
DOI: 10.2143/AST.36.2.2017929     Document Type: Article
Times cited : (128)

References (39)
  • 3
    • 31144450867 scopus 로고
    • Optimal Rules for Ordering Uncertain Prospects
    • BAWA, V.S. (1975) "Optimal Rules for Ordering Uncertain Prospects", Journal of Financial Economics, 2, 95-121.
    • (1975) Journal of Financial Economics , vol.2 , pp. 95-121
    • BAWA1    S., V.2
  • 4
    • 4043126307 scopus 로고    scopus 로고
    • Bayesian Inference based on Robust Priors and MML Estimators: Part 1, Symmetric Location-Scale Distributions
    • BIAN, G. and TIKU, M.L. (1997) Bayesian Inference based on Robust Priors and MML Estimators: Part 1, Symmetric Location-Scale Distributions, Statistics, 29, 317-345.
    • (1997) Statistics , vol.29 , pp. 317-345
    • G., B.I.A.N.1    TIKU, M.L.2
  • 5
    • 85008813608 scopus 로고    scopus 로고
    • Semi-Parametric Modelling in Finance: Theoretical Foundations
    • BINGHAM, N.H. and KIESEL, R. (2002) Semi-Parametric Modelling in Finance: Theoretical Foundations, Quantitative Finance, 2, 241-250.
    • (2002) Quantitative Finance , vol.2 , pp. 241-250
    • BINGHAM1    H., N.2    KIESEL, R.3
  • 6
    • 0000244379 scopus 로고    scopus 로고
    • CAMBANIS, S., HUANG, S., and SIMONS, G. (1981) On the Theory of Elliptically Contoured Distributions, Journal of Multivariate Analysis, 11, 368-385.
    • CAMBANIS, S., HUANG, S., and SIMONS, G. (1981) On the Theory of Elliptically Contoured Distributions, Journal of Multivariate Analysis, 11, 368-385.
  • 7
    • 35348924931 scopus 로고    scopus 로고
    • Multivariate Generalization of Stein's Lemma for Elliptical Class of Distributions
    • Technical Report N 04-07-1, Actuarial Research Center, University of Haifa, Israel
    • EMBRECHTS, P. and LANDSMAN, Z. (2004) "Multivariate Generalization of Stein's Lemma for Elliptical Class of Distributions", Technical Report N 04-07-1, Actuarial Research Center, University of Haifa, Israel, http://uhda.haifa.ac.il
    • (2004)
    • EMBRECHTS, P.1    LANDSMAN, Z.2
  • 8
    • 35348824325 scopus 로고    scopus 로고
    • EMBRECHTS, P., MCNEIL, A., and STRAUMANN, D. (2001) Correlation and Dependence in Risk Management: Properties and Pitfalls, Risk Management: Value at Risk and Beyond, edited by Dempster, M. and Moffatt, H.K., Cambridge University Press.
    • EMBRECHTS, P., MCNEIL, A., and STRAUMANN, D. (2001) Correlation and Dependence in Risk Management: Properties and Pitfalls, Risk Management: Value at Risk and Beyond, edited by Dempster, M. and Moffatt, H.K., Cambridge University Press.
  • 11
    • 85011140483 scopus 로고    scopus 로고
    • Relative Importance of Risk Sources in Insurance Systems
    • FREES, E.W. (1998) Relative Importance of Risk Sources in Insurance Systems, North American Actuarial Journal, 2, 34-52.
    • (1998) North American Actuarial Journal , vol.2 , pp. 34-52
    • FREES1    W., E.2
  • 12
    • 29144495510 scopus 로고    scopus 로고
    • Risk Capital Decomposition for a Multivariate Dependent Gamma Portfolio
    • FURMAN, E. and LANDSMAN, Z. (2005) Risk Capital Decomposition for a Multivariate Dependent Gamma Portfolio, Insurance: Mathematics and Economics, 37, 635-649.
    • (2005) Insurance: Mathematics and Economics , vol.37 , pp. 635-649
    • FURMAN, E.1    LANDSMAN, Z.2
  • 14
    • 85011465033 scopus 로고    scopus 로고
    • HÜRLIMANN, W. (2001a) Analytical Evaluation of Economic Risk Capital for Portfolio of Gamma Risks, ASTIN Bulletin, 31(1), 107-122.
    • HÜRLIMANN, W. (2001a) Analytical Evaluation of Economic Risk Capital for Portfolio of Gamma Risks, ASTIN Bulletin, 31(1), 107-122.
  • 15
    • 85011437056 scopus 로고    scopus 로고
    • HÜRLIMANN, W. (2001b) Financial Data Analysis with Two Symmetric Distributions, ASTIN Bulletin, 31(1), 187-211.
    • HÜRLIMANN, W. (2001b) Financial Data Analysis with Two Symmetric Distributions, ASTIN Bulletin, 31(1), 187-211.
  • 16
    • 17844374717 scopus 로고    scopus 로고
    • HÜRLIMANN, W. (2003) Conditional Value-at-Risk Bounds for Compound Poison risks and a Normal Approximation, Journal of Applied Mathematics, 3, 141-153.
    • HÜRLIMANN, W. (2003) Conditional Value-at-Risk Bounds for Compound Poison risks and a Normal Approximation, Journal of Applied Mathematics, 3, 141-153.
  • 17
    • 17844398715 scopus 로고    scopus 로고
    • HÜRLIMANN, W. (2004) Multivariate Frechet Copulas and Conditional Value-at-Risk, International Journal of Mathematics and Mathematical Sciencies, 7, 345-364.
    • HÜRLIMANN, W. (2004) Multivariate Frechet Copulas and Conditional Value-at-Risk, International Journal of Mathematics and Mathematical Sciencies, 7, 345-364.
  • 18
    • 0036756224 scopus 로고    scopus 로고
    • Multivariate Extremes, Aggregation and Dependence in Elliptical Distributions
    • HULT, H. and LINDSKOG, F. (2002) Multivariate Extremes, Aggregation and Dependence in Elliptical Distributions, Advances in Applied Probability, 34, 587-608.
    • (2002) Advances in Applied Probability , vol.34 , pp. 587-608
    • H., H.U.L.T.1    LINDSKOG, F.2
  • 19
    • 35348886156 scopus 로고    scopus 로고
    • KAAS, R., GOOVAERTS, M.J., DHAENE, J. and DENAULT, M. (2001) Modern Actuarial Risk Theory, Kluwer Academic Publishers.
    • KAAS, R., GOOVAERTS, M.J., DHAENE, J. and DENAULT, M. (2001) Modern Actuarial Risk Theory, Kluwer Academic Publishers.
  • 20
    • 0001248728 scopus 로고
    • Distribution Theory of Spherical Distributions and Location-Scale Parameter Generalization
    • KELKER, D. (1970) Distribution Theory of Spherical Distributions and Location-Scale Parameter Generalization, Sankhya, 32, 419-430.
    • (1970) Sankhya , vol.32 , pp. 419-430
    • KELKER, D.1
  • 21
    • 0000863729 scopus 로고
    • Multivariate Distributions at a Cross-Road
    • edited by Patil, G.K. and Kotz, S, D. Reidel Publishing Company
    • KOTZ, S. (1975) Multivariate Distributions at a Cross-Road, Statistical Distributions in Scientific Work, 1, edited by Patil, G.K. and Kotz, S., D. Reidel Publishing Company.
    • (1975) Statistical Distributions in Scientific Work , pp. 1
    • KOTZ, S.1
  • 22
    • 35348892090 scopus 로고    scopus 로고
    • KOTZ, S., BALAKRISHNAN, N. and JOHNSON, N.L. (2000) Continuous Multivariate Distributions, New York: Wiley.
    • KOTZ, S., BALAKRISHNAN, N. and JOHNSON, N.L. (2000) Continuous Multivariate Distributions, New York: Wiley.
  • 23
    • 33645544814 scopus 로고    scopus 로고
    • On the generalization of Stein's Lemma for elliptical class of distributions
    • LANDSMAN, Z. (2006) On the generalization of Stein's Lemma for elliptical class of distributions, Statistics and Probability Letters, 76, 1012-1016.
    • (2006) Statistics and Probability Letters , vol.76 , pp. 1012-1016
    • LANDSMAN, Z.1
  • 24
    • 85011180246 scopus 로고    scopus 로고
    • Tail Conditional Expectation for Elliptical Distributions
    • LANDSMAN, Z. and VALDEZ, E. (2003) Tail Conditional Expectation for Elliptical Distributions, North American Actuarial Journal, 7(4).
    • (2003) North American Actuarial Journal , vol.7 , Issue.4
    • LANDSMAN, Z.1    VALDEZ, E.2
  • 25
    • 85011457676 scopus 로고    scopus 로고
    • Tail Conditional Expectation for Exponential Dispersion Models
    • LANDSMAN, Z. and VALDEZ, E. (2005) Tail Conditional Expectation for Exponential Dispersion Models, ASTIN Bulletin, 35(1), 189-209.
    • (2005) ASTIN Bulletin , vol.35 , Issue.1 , pp. 189-209
    • LANDSMAN, Z.1    VALDEZ, E.2
  • 26
    • 35348815611 scopus 로고    scopus 로고
    • An Insurance and Asset Pricing Model for Non-Normal Distributions and Incomplete Markets
    • Technical report, Actuarial research Center, University of Haifa
    • LANDSMAN, Z. and SHERRIS, M. (2005). An Insurance and Asset Pricing Model for Non-Normal Distributions and Incomplete Markets, Technical report, Actuarial research Center, University of Haifa, http://arc.haifa.ac.il
    • (2005)
    • LANDSMAN, Z.1    SHERRIS, M.2
  • 27
    • 0003981320 scopus 로고
    • Springer-Verlag, New York Heidelberg Berlin
    • LOÈVE, M. (1977) Probability Theory 1, Springer-Verlag, New York Heidelberg Berlin.
    • (1977) Probability Theory , pp. 1
    • LOÈVE, M.1
  • 28
    • 70350342861 scopus 로고    scopus 로고
    • Probability Distributions for Financial Models
    • MACDONALD, J.B. (1996) Probability Distributions for Financial Models, Handbook of Statistics, 14, 427-461.
    • (1996) Handbook of Statistics , vol.14 , pp. 427-461
    • MACDONALD1    B., J.2
  • 30
    • 0000557004 scopus 로고
    • On the Class of Elliptical Distributions and their Applications to the Theory of Portfolio Choice
    • OWEN, J. and RABINOVITCH, R. (1983) On the Class of Elliptical Distributions and their Applications to the Theory of Portfolio Choice, The Journal of Finance, 38(3), 745-752.
    • (1983) The Journal of Finance , vol.38 , Issue.3 , pp. 745-752
    • J., O.W.E.N.1    RABINOVITCH, R.2
  • 31
    • 35348903255 scopus 로고    scopus 로고
    • PANJER, H. (Editor), BOYLE, P., COX, S., DUFRESNE, D., MUELLER, H., PEDERSEN, H., PLISKA, S., SHERRIS, M., SHIU, E. and TAN, K. (1998) Financial Economics: With Applications to Investments, Insurance and Pensions, Actuar, Foundation, Schaumburg.
    • PANJER, H. (Editor), BOYLE, P., COX, S., DUFRESNE, D., MUELLER, H., PEDERSEN, H., PLISKA, S., SHERRIS, M., SHIU, E. and TAN, K. (1998) Financial Economics: With Applications to Investments, Insurance and Pensions, Actuar, Foundation, Schaumburg.
  • 32
    • 0344562063 scopus 로고    scopus 로고
    • Measurement of Risk, Solvency Requirements, and Allocation of Capital within Financial Conglomerates
    • Institute of Insurance and Pension Research, 01-15
    • PANJER, H.H. (2002) Measurement of Risk, Solvency Requirements, and Allocation of Capital within Financial Conglomerates, Institute of Insurance and Pension Research, University of Waterloo Research Report 01-15.
    • (2002) University of Waterloo Research Report
    • PANJER1    H., H.2
  • 33
    • 0000472454 scopus 로고
    • Mutual Fund Separation in Financial Theory - the Separating Distributions
    • ROSS, S.A. (1979) Mutual Fund Separation in Financial Theory - the Separating Distributions, Journal of Economic Theory, 17, 256-286.
    • (1979) Journal of Economic Theory , vol.17 , pp. 256-286
    • ROSS1    A., S.2
  • 34
    • 0036576115 scopus 로고    scopus 로고
    • Tail Dependence for Elliptically Contoured Distributions
    • SCHMIDT R. (2002) Tail Dependence for Elliptically Contoured Distributions, Mathematical Methods of Operations Research, 55, 301-327.
    • (2002) Mathematical Methods of Operations Research , vol.55 , pp. 301-327
    • SCHMIDT, R.1
  • 35
    • 84963108002 scopus 로고
    • Liquidity Preference as Behavior Toward Risk
    • TOBIN, J. (1958) Liquidity Preference as Behavior Toward Risk, Review of Economic Studies, 25, 65-86.
    • (1958) Review of Economic Studies , vol.25 , pp. 65-86
    • TOBIN, J.1
  • 36
    • 0345375521 scopus 로고    scopus 로고
    • Wang's Capital Allocation Formula for Elliptically-Contoured Distributions
    • VALDEZ, E. and CHERNICH, A. (2003) Wang's Capital Allocation Formula for Elliptically-Contoured Distributions, Insurance: Mathematics & Economics, 33, 517-532.
    • (2003) Insurance: Mathematics & Economics , vol.33 , pp. 517-532
    • VALDEZ, E.1    CHERNICH, A.2
  • 38
    • 85011137597 scopus 로고    scopus 로고
    • An Actuarial Index of the Right-Tail Risk
    • WANG, S. (1998) An Actuarial Index of the Right-Tail Risk, North American Actuarial Journal, 2, 88-101.
    • (1998) North American Actuarial Journal , vol.2 , pp. 88-101
    • WANG, S.1
  • 39
    • 85011467050 scopus 로고    scopus 로고
    • A Universal Framework for Pricing Financial and Insurance Risks
    • WANG, S. (2002) A Universal Framework for Pricing Financial and Insurance Risks, ASTIN Bulletin, 32, 213-234.
    • (2002) ASTIN Bulletin , vol.32 , pp. 213-234
    • WANG, S.1


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