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An economic premium principle in a multiperiod economy

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  • Iwaki, Hideki
  • Kijima, Masaaki
  • Morimoto, Yuji

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  • Iwaki, Hideki & Kijima, Masaaki & Morimoto, Yuji, 2001. "An economic premium principle in a multiperiod economy," Insurance: Mathematics and Economics, Elsevier, vol. 28(3), pages 325-339, June.
    • Handle: RePEc:eee:insuma:v:28:y:2001:i:3:p:325-339
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    References listed on IDEAS

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    1. Masaaki Kijima & Masamitsu Ohnishi, 1999. "Stochastic orders and their applications in financial optimization," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 50(2), pages 351-372, October.
    2. Cummins, J. David, 1990. "Asset Pricing Models and Insurance Ratemaking," ASTIN Bulletin, Cambridge University Press, vol. 20(2), pages 125-166, November.
    3. Ian Jewitt, 1989. "Choosing Between Risky Prospects: The Characterization of Comparative Statics Results, and Location Independent Risk," Management Science, INFORMS, vol. 35(1), pages 60-70, January.
    4. Delbaen, F. & Haezendonck, J., 1989. "A martingale approach to premium calculation principles in an arbitrage free market," Insurance: Mathematics and Economics, Elsevier, vol. 8(4), pages 269-277, December.
    5. Merton, Robert C., 1971. "Optimum consumption and portfolio rules in a continuous-time model," Journal of Economic Theory, Elsevier, vol. 3(4), pages 373-413, December.
    6. Bühlmann, Hans & Delbaen, Freddy & Embrechts, Paul & Shiryaev, Albert N., 1998. "On Esscher Transforms in Discrete Finance Models," ASTIN Bulletin, Cambridge University Press, vol. 28(2), pages 171-186, November.
    7. Harrison, J. Michael & Pliska, Stanley R., 1981. "Martingales and stochastic integrals in the theory of continuous trading," Stochastic Processes and their Applications, Elsevier, vol. 11(3), pages 215-260, August.
    8. Aase, Knut K., 1993. "Equilibrium in a Reinsurance Syndicate; Existence, Uniqueness and Characterization," ASTIN Bulletin, Cambridge University Press, vol. 23(2), pages 185-211, November.
    9. Cuoco, Domenico, 1997. "Optimal Consumption and Equilibrium Prices with Portfolio Constraints and Stochastic Income," Journal of Economic Theory, Elsevier, vol. 72(1), pages 33-73, January.
    10. Gerber, Hans U. & Shiu, Elias S. W., 1996. "Actuarial bridges to dynamic hedging and option pricing," Insurance: Mathematics and Economics, Elsevier, vol. 18(3), pages 183-218, November.
    11. Lienhard, Markus, 1986. "Calculation of Price Equilibria for Utility Functions of the HARA Class," ASTIN Bulletin, Cambridge University Press, vol. 16(S1), pages 91-97, April.
    12. Masaaki Kijima & Masamitsu Ohnishi, 1996. "Portfolio Selection Problems Via The Bivariate Characterization Of Stochastic Dominance Relations1," Mathematical Finance, Wiley Blackwell, vol. 6(3), pages 237-277, July.
    13. Harrison, J. Michael & Kreps, David M., 1979. "Martingales and arbitrage in multiperiod securities markets," Journal of Economic Theory, Elsevier, vol. 20(3), pages 381-408, June.
    14. Wyler, Erich, 1990. "Pareto Optimal Risk Exchanges and a System of Differential Equations: a Duality Theorem," ASTIN Bulletin, Cambridge University Press, vol. 20(1), pages 23-31, April.
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    Cited by:

    1. Masahiko Egami & Hideki Iwaki, 2007. "An optimal life insurance policy in the investment-consumption problem in an incomplete market," Papers 0801.0195, arXiv.org, revised May 2011.
    2. Maxim Bichuch & Zachary Feinstein, 2020. "Endogenous inverse demand functions," Papers 2012.08002, arXiv.org, revised Apr 2022.
    3. Goovaerts, Marc J. & Laeven, Roger J.A., 2008. "Actuarial risk measures for financial derivative pricing," Insurance: Mathematics and Economics, Elsevier, vol. 42(2), pages 540-547, April.
    4. Badescu, Alex & Elliott, Robert J. & Siu, Tak Kuen, 2009. "Esscher transforms and consumption-based models," Insurance: Mathematics and Economics, Elsevier, vol. 45(3), pages 337-347, December.
    5. Kijima, Masaaki & Muromachi, Yukio, 2008. "An extension of the Wang transform derived from Bühlmann's economic premium principle for insurance risk," Insurance: Mathematics and Economics, Elsevier, vol. 42(3), pages 887-896, June.
    6. Iwaki, Hideki & Yumae, Shoji, 2004. "An efficient frontier for participating policies in a continuous-time economy," Insurance: Mathematics and Economics, Elsevier, vol. 35(3), pages 611-625, December.

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