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Long-term optimal portfolios with floor

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  • Jun Sekine

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  • Jun Sekine, 2012. "Long-term optimal portfolios with floor," Finance and Stochastics, Springer, vol. 16(3), pages 369-401, July.
  • Handle: RePEc:spr:finsto:v:16:y:2012:i:3:p:369-401
    DOI: 10.1007/s00780-012-0175-2
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    References listed on IDEAS

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    1. Hans U. Gerber & Hlias S. W. Shiu, 1996. "Martingale Approach To Pricing Perpetual American Options On Two Stocks," Mathematical Finance, Wiley Blackwell, vol. 6(3), pages 303-322, July.
    2. Nicole El Karoui & Asma Meziou, 2008. "Max-Plus decomposition of supermartingales and convex order. Application to American options and portfolio insurance," Papers 0804.2561, arXiv.org.
    3. Hideo Nagai, 2011. "Asymptotics of the probability of minimizing 'down-side' risk under partial information," Quantitative Finance, Taylor & Francis Journals, vol. 11(5), pages 789-803.
    4. Hans Gerber & Gérard Pafumi, 2000. "Pricing Dynamic Investment Fund Protection," North American Actuarial Journal, Taylor & Francis Journals, vol. 4(2), pages 28-37.
    5. H. Föllmer & Y.M. Kabanov, 1997. "Optional decomposition and Lagrange multipliers," Finance and Stochastics, Springer, vol. 2(1), pages 69-81.
    6. Nicole El Karoui & Asma Meziou, 2006. "Constrained Optimization With Respect To Stochastic Dominance: Application To Portfolio Insurance," Mathematical Finance, Wiley Blackwell, vol. 16(1), pages 103-117, January.
    7. 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.
    8. Morrison, John M. & Wise, Gary L., 1987. "Continuity of filtrations of sigma algebras," Statistics & Probability Letters, Elsevier, vol. 6(1), pages 55-60, September.
    9. Mark Davis & SEBastien Lleo, 2008. "Risk-sensitive benchmarked asset management," Quantitative Finance, Taylor & Francis Journals, vol. 8(4), pages 415-426.
    10. Philippe Bertrand & Jean-Luc Prigent, 2005. "Portfolio Insurance Strategies: OBPI versus CPPI," Post-Print hal-01833077, HAL.
    11. Sanford J. Grossman & Zhongquan Zhou, 1993. "Optimal Investment Strategies For Controlling Drawdowns," Mathematical Finance, Wiley Blackwell, vol. 3(3), pages 241-276, July.
    12. Hans Gerber & Elias Shiu, 2003. "Pricing Perpetual Fund Protection with Withdrawal Option," North American Actuarial Journal, Taylor & Francis Journals, vol. 7(2), pages 60-77.
    13. El Karoui, Nicole & Jeanblanc, Monique & Lacoste, Vincent, 2005. "Optimal portfolio management with American capital guarantee," Journal of Economic Dynamics and Control, Elsevier, vol. 29(3), pages 449-468, March.
    14. Black, Fischer & Perold, AndreF., 1992. "Theory of constant proportion portfolio insurance," Journal of Economic Dynamics and Control, Elsevier, vol. 16(3-4), pages 403-426.
    15. Hiroaki Hata & Yasunari Iida, 2006. "A risk-sensitive stochastic control approach to an optimal investment problem with partial information," Finance and Stochastics, Springer, vol. 10(3), pages 395-426, September.
    16. Junichi Imai & Phelim Boyle, 2001. "Dynamic Fund Protection," North American Actuarial Journal, Taylor & Francis Journals, vol. 5(3), pages 31-47.
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    Cited by:

    1. Lijun Bo & Huafu Liao & Xiang Yu, 2020. "Optimal Tracking Portfolio with A Ratcheting Capital Benchmark," Papers 2006.13661, arXiv.org, revised Apr 2021.

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    More about this item

    Keywords

    Risk-sensitive portfolio optimization; Long-term investment; Floor constraint; Portfolio insurance; CPPI; OBPI; Dynamic fund protection; American perpetual option; Perpetual lookback option; 93E20; 91B28; G11; C61;
    All these keywords.

    JEL classification:

    • G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions
    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis

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