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Optimal portfolio allocation under the probabilistic VaR constraint and incentives for financial innovation

Author

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  • Jón Daníelsson
  • Bjørn Jorgensen
  • Casper Vries
  • Xiaoguang Yang

Abstract

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Suggested Citation

  • Jón Daníelsson & Bjørn Jorgensen & Casper Vries & Xiaoguang Yang, 2008. "Optimal portfolio allocation under the probabilistic VaR constraint and incentives for financial innovation," Annals of Finance, Springer, vol. 4(3), pages 345-367, July.
  • Handle: RePEc:kap:annfin:v:4:y:2008:i:3:p:345-367
    DOI: 10.1007/s10436-007-0081-3
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    References listed on IDEAS

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    1. Rohit Rahi & José M. Marín, 1999. "Speculative securities," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 14(3), pages 653-668.
    2. Leland, Hayne E, 1980. "Who Should Buy Portfolio Insurance?," Journal of Finance, American Finance Association, vol. 35(2), pages 581-594, May.
    3. Allen, Franklin & Gale, Douglas, 1991. "Arbitrage, Short Sales, and Financial Innovation," Econometrica, Econometric Society, vol. 59(4), pages 1041-1068, July.
    4. Franklin Allen, Douglas Gale, 1988. "Optimal Security Design," The Review of Financial Studies, Society for Financial Studies, vol. 1(3), pages 229-263.
    5. Miller, Merton H., 1986. "Financial Innovation: The Last Twenty Years and the Next," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 21(4), pages 459-471, December.
    6. Merton H. Miller, 1992. "Financial Innovation: Achievements And Prospects," Journal of Applied Corporate Finance, Morgan Stanley, vol. 4(4), pages 4-11, January.
    7. Mark Grinblatt & Francis A. Longstaff, 2000. "Financial Innovation and the Role of Derivative Securities: An Empirical Analysis of the Treasury STRIPS Program," Journal of Finance, American Finance Association, vol. 55(3), pages 1415-1436, June.
    8. Basak, Suleyman & Shapiro, Alexander, 2001. "Value-at-Risk-Based Risk Management: Optimal Policies and Asset Prices," The Review of Financial Studies, Society for Financial Studies, vol. 14(2), pages 371-405.
    9. Stephen A. Ross, 1976. "Options and Efficiency," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 90(1), pages 75-89.
    10. Arzac, Enrique R. & Bawa, Vijay S., 1977. "Portfolio choice and equilibrium in capital markets with safety-first investors," Journal of Financial Economics, Elsevier, vol. 4(3), pages 277-288, May.
    11. Grossman, Sanford J & Vila, Jean-Luc, 1989. "Portfolio Insurance in Complete Markets: A Note," The Journal of Business, University of Chicago Press, vol. 62(4), pages 473-476, October.
    12. Cornelius M. Schilbred, 1973. "The Market Price of Risk," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 40(2), pages 283-292.
    13. Green, Richard C. & Rydqvist, Kristian, 1999. "Ex-day behavior with dividend preference and limitations to short-term arbitrage: the case of Swedish lottery bonds," Journal of Financial Economics, Elsevier, vol. 53(2), pages 145-187, August.
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    Citations

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    Cited by:

    1. E. Birgin & L. Bueno & N. Krejić & J. Martínez, 2011. "Low order-value approach for solving VaR-constrained optimization problems," Journal of Global Optimization, Springer, vol. 51(4), pages 715-742, December.
    2. Ba Chu, 2012. "Large deviations estimation of the windfall and shortfall probabilities for optimal diversified portfolios," Annals of Finance, Springer, vol. 8(1), pages 97-122, February.
    3. Álvaro Porras & Concepción Domínguez & Juan Miguel Morales & Salvador Pineda, 2023. "Tight and Compact Sample Average Approximation for Joint Chance-Constrained Problems with Applications to Optimal Power Flow," INFORMS Journal on Computing, INFORMS, vol. 35(6), pages 1454-1469, November.
    4. Frank Milne, 2008. "Credit Crises, Risk Management Systems and Liquidity Modelling," Working Papers 1, John Deutsch Institute for the Study of Economic Policy.
    5. Fr'ed'eric Butin, 2020. "Generalized distance to a simplex and a new geometrical method for portfolio optimization," Papers 2009.08826, arXiv.org.
    6. Hałaj, Grzegorz, 2013. "Optimal asset structure of a bank - bank reactions to stressful market conditions," Working Paper Series 1533, European Central Bank.
    7. Lwin, Khin T. & Qu, Rong & MacCarthy, Bart L., 2017. "Mean-VaR portfolio optimization: A nonparametric approach," European Journal of Operational Research, Elsevier, vol. 260(2), pages 751-766.
    8. Wu, Meng & Zhu, Stuart X. & Teunter, Ruud H., 2013. "The risk-averse newsvendor problem with random capacity," European Journal of Operational Research, Elsevier, vol. 231(2), pages 328-336.
    9. Daníelsson, Jón & Jorgensen, Bjørn N. & Samorodnitsky, Gennady & Sarma, Mandira & de Vries, Casper G., 2013. "Fat tails, VaR and subadditivity," Journal of Econometrics, Elsevier, vol. 172(2), pages 283-291.

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    More about this item

    Keywords

    Portfolio optimization; Value-at-risk; Computational complexity; State–price density; G11;
    All these keywords.

    JEL classification:

    • G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions

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