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Volumn 15, Issue 2, 2005, Pages 261-308

Optimal reinsurance and dividend distribution policies in the cramér-lundberg model

Author keywords

Cram r Lundberg process; Dividend payouts; Dynamic programming principle; Hamilton Jacobi Bellman equation; Insurance; Reinsurance; Risk control; Viscosity solution

Indexed keywords


EID: 17444414628     PISSN: 09601627     EISSN: None     Source Type: Journal    
DOI: 10.1111/j.0960-1627.2005.00220.x     Document Type: Article
Times cited : (205)

References (24)
  • 1
    • 0000549008 scopus 로고    scopus 로고
    • Optimal risk control and dividend distribution policies: Example of excess-of-loss reinsurance for an insurance corporation
    • ASMUSSEN, S., B. HøJGAARD, and M. TAKSAR (2000): Optimal Risk Control and Dividend Distribution Policies: Example of Excess-of-Loss Reinsurance for an Insurance Corporation, Finance Stochast. 4(3), 299-324.
    • (2000) Finance Stochast. , vol.4 , Issue.3 , pp. 299-324
    • Asmussen, S.1    Højgaard, B.2    Taksar, M.3
  • 2
    • 0031161138 scopus 로고    scopus 로고
    • Controlled diffusion models for optimal dividend pay-out
    • ASMUSSEN, S., and M. TAKSAR (1997): Controlled Diffusion Models for Optimal Dividend Pay-Out, Insurance: Math. & Econ. 20, 1-15.
    • (1997) Insurance: Math. & Econ. , vol.20 , pp. 1-15
    • Asmussen, S.1    Taksar, M.2
  • 4
    • 14244254946 scopus 로고    scopus 로고
    • Optimal portfolio selection with consumption and nonlinear integra-differential equations with gradient constraint: A viscosity solution approach
    • BENTH, F. E., K. H. KARLSEN, and K. REIKVAM (2001): Optimal Portfolio Selection with Consumption and Nonlinear Integra-Differential Equations with Gradient Constraint: A Viscosity Solution Approach, Finance Stoch. 5(3), 275-303.
    • (2001) Finance Stoch. , vol.5 , Issue.3 , pp. 275-303
    • Benth, F.E.1    Karlsen, K.H.2    Reikvam, K.3
  • 6
    • 84966227140 scopus 로고
    • Hamilton-Jacobi equations with state constraints
    • CAPUZZO-DOLCETTA, I., and P. L. LIONS (1990): Hamilton-Jacobi Equations with State Constraints, Trans. Am. Math. Soc. 318(2), 643-683.
    • (1990) Trans. Am. Math. Soc. , vol.318 , Issue.2 , pp. 643-683
    • Capuzzo-Dolcetta, I.1    Lions, P.L.2
  • 7
    • 85012529478 scopus 로고    scopus 로고
    • Excess-of-loss reinsurance for a company with debt liability and constraints on risk reduction
    • CHOULLI, T., M. TAKSAR, and X. Y. ZHOU (2001): Excess-of-Loss Reinsurance for a Company with Debt Liability and Constraints on Risk Reduction, Quant. Finance 1, 573-596.
    • (2001) Quant. Finance , vol.1 , pp. 573-596
    • Choulli, T.1    Taksar, M.2    Zhou, X.Y.3
  • 8
    • 84968507121 scopus 로고
    • Some properties of viscosity solutions of Hamilton-Jacobi equations
    • CRANDALL, M. G., L. C. EVANS, and P. L. LIONS (1984): Some Properties of Viscosity Solutions of Hamilton-Jacobi Equations, Trans. Am. Math. Soc. 282, 487-502.
    • (1984) Trans. Am. Math. Soc. , vol.282 , pp. 487-502
    • Crandall, M.G.1    Evans, L.C.2    Lions, P.L.3
  • 9
    • 84967758647 scopus 로고
    • Viscosity solution of Hamilton-Jacobi equations
    • CRANDALL, M. G., and P. L. LIONS (1983): Viscosity Solution of Hamilton-Jacobi Equations, Trans. Am. Math. Soc. 277(1), 1-42.
    • (1983) Trans. Am. Math. Soc. , vol.277 , Issue.1 , pp. 1-42
    • Crandall, M.G.1    Lions, P.L.2
  • 11
    • 0001358563 scopus 로고
    • Entscheidungskriterien für den zusammengesetzten Poisson-Prozeß
    • GERBER, H. (1969): Entscheidungskriterien für den zusammengesetzten Poisson-Prozeß, Mitt. Ver. Schweiz. Vers. Math. 69, 185-228.
    • (1969) Mitt. Ver. Schweiz. Vers. Math. , vol.69 , pp. 185-228
    • Gerber, H.1
  • 12
    • 85011246805 scopus 로고    scopus 로고
    • Optimal dynamic premium control in non-life insurance. Maximizing dividend pay-outs
    • HøJGAARD, B. (2002): Optimal Dynamic Premium Control in Non-Life Insurance. Maximizing Dividend Pay-outs, Scand. Actuarial J. 4, 225-245.
    • (2002) Scand. Actuarial J. , vol.4 , pp. 225-245
    • Højgaard, B.1
  • 13
    • 0033447426 scopus 로고    scopus 로고
    • Controlling risk exposure and dividends payout schemes: Insurance company example
    • HøJGAARD, B., and M. TAKSAR (1999): Controlling Risk Exposure and Dividends Payout Schemes: Insurance Company Example, Math. Finance 9(2), 153-182.
    • (1999) Math. Finance , vol.9 , Issue.2 , pp. 153-182
    • Højgaard, B.1    Taksar, M.2
  • 14
    • 84953017099 scopus 로고
    • Optimal control of diffusion processes and Hamilton-Jacobi-Bellman equations. II. Viscosity solutions and uniqueness
    • LIONS, P. L. (1983): Optimal Control of Diffusion Processes and Hamilton-Jacobi-Bellman Equations. II. Viscosity Solutions and Uniqueness, Comm. Partial Diff. Eqs. 8(11), 1229-1276.
    • (1983) Comm. Partial Diff. Eqs. , vol.8 , Issue.11 , pp. 1229-1276
    • Lions, P.L.1
  • 15
    • 85023900977 scopus 로고    scopus 로고
    • Optimal risk control under excess of loss reinsurance
    • INRIA Rocquencourt
    • MNIF, M., and A. SULEM (2001): Optimal Risk Control under Excess of Loss Reinsurance. Raport de Recherche no. 4317, INRIA Rocquencourt.
    • (2001) Raport de Recherche No. 4317 , vol.4317
    • Mnif, M.1    Sulem, A.2
  • 17
    • 84949351553 scopus 로고
    • Équations d'Hamilton-Jacobi du premier ordre avec termes intégro différentiels. I. Unicité des solutions de viscosité
    • SAYAH, A. (1991a): Équations d'Hamilton-Jacobi du premier ordre avec termes intégro différentiels. I. Unicité des solutions de viscosité, Comm. Partial Diff. Eqs. 16(6-7), 1057-1074.
    • (1991) Comm. Partial Diff. Eqs. , vol.16 , Issue.6-7 , pp. 1057-1074
    • Sayah, A.1
  • 18
    • 84949338341 scopus 로고
    • Équations d'Hamilton-Jacobi du premier ordre avec termes intégro différentiels. II. Existence des solutions de viscosité
    • SAYAH, A. (1991b): Équations d'Hamilton-Jacobi du premier ordre avec termes intégro différentiels. II. Existence des solutions de viscosité, Comm. Partial Diff. Eqs. 16(6-7), 1075-1093.
    • (1991) Comm. Partial Diff. Eqs. , vol.16 , Issue.6-7 , pp. 1075-1093
    • Sayah, A.1
  • 19
    • 85011522740 scopus 로고    scopus 로고
    • Optimal proportional reinsurance policies in a dynamic setting
    • SCHMIDLI, H. (2001): Optimal Proportional Reinsurance Policies in a Dynamic Setting, Scand. Actuarial J. 1, 55-68.
    • (2001) Scand. Actuarial J. , vol.1 , pp. 55-68
    • Schmidli, H.1
  • 20
    • 0022715502 scopus 로고
    • Optimal control with state-space constraint. I
    • SONER, H. M. (1986a): Optimal Control with State-Space constraint. I, SIAM J. Control Optim. 24,3, 552-561.
    • (1986) SIAM J. Control Optim. , vol.24 , Issue.3 , pp. 552-561
    • Soner, H.M.1
  • 21
    • 0022806544 scopus 로고
    • Optimal control with state-space constraint. II
    • SONER, H. M. (1986b): Optimal Control with State-Space Constraint. II, SIAM J. Control Optim. 24(6), 1110-1122.
    • (1986) SIAM J. Control Optim. , vol.24 , Issue.6 , pp. 1110-1122
    • Soner, H.M.1
  • 22
    • 11544313334 scopus 로고
    • Optimal control of Jump-Markov processes and viscosity solutions
    • Stochastic Differential Systems, Stochastic Control Theory and Applications (Minneapolis, Minn., 1986), New York: Springer
    • SONER, H. M. (1988): Optimal Control of Jump-Markov Processes and Viscosity Solutions; in Stochastic Differential Systems, Stochastic Control Theory and Applications (Minneapolis, Minn., 1986), IM A Volumes in Mathematics and Its Applications, vol. 10. New York: Springer, 501-511.
    • (1988) IM a Volumes in Mathematics and Its Applications , vol.10 , pp. 501-511
    • Soner, H.M.1


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