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When are path-dependent payoffs suboptimal?

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  • Kassberger, Stefan
  • Liebmann, Thomas

Abstract

Generalizing a result by Cox and Leland (2000) and Vanduffel et al. (2009), this note shows that risk-averse investors with fixed planning horizon prefer path-independent payoffs in any financial market if the pricing kernel is a function of the underlying’s price at the end of the planning horizon. Generally, for every payoff which is not a function of the pricing kernel, there is a more attractive alternative that depends solely on the pricing kernel at the end of the planning horizon.

Suggested Citation

  • Kassberger, Stefan & Liebmann, Thomas, 2012. "When are path-dependent payoffs suboptimal?," Journal of Banking & Finance, Elsevier, vol. 36(5), pages 1304-1310.
    • Handle: RePEc:eee:jbfina:v:36:y:2012:i:5:p:1304-1310
    DOI: 10.1016/j.jbankfin.2011.11.017
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    References listed on IDEAS

    as
    1. Cox, John C. & Leland, Hayne E., 2000. "On dynamic investment strategies," Journal of Economic Dynamics and Control, Elsevier, vol. 24(11-12), pages 1859-1880, October.
    2. Mansuy, Roger & Yor, Marc, 2005. "Harnesses, Lévy bridges and Monsieur Jourdain," Stochastic Processes and their Applications, Elsevier, vol. 115(2), pages 329-338, February.
    3. Rombouts, Jeroen V.K. & Stentoft, Lars, 2011. "Multivariate option pricing with time varying volatility and correlations," Journal of Banking & Finance, Elsevier, vol. 35(9), pages 2267-2281, September.
    4. Fajardo, José & Farias, Aquiles, 2010. "Derivative pricing using multivariate affine generalized hyperbolic distributions," Journal of Banking & Finance, Elsevier, vol. 34(7), pages 1607-1617, July.
    5. Shin Kim, Young & Rachev, Svetlozar T. & Leonardo Bianchi, Michele & Fabozzi, Frank J., 2010. "Tempered stable and tempered infinitely divisible GARCH models," Journal of Banking & Finance, Elsevier, vol. 34(9), pages 2096-2109, September.
    6. Denuit Michel & Dhaene Jan & Goovaerts Marc & Kaas Rob & Laeven Roger, 2006. "Risk measurement with equivalent utility principles," Statistics & Risk Modeling, De Gruyter, vol. 24(1), pages 1-25, July.
    7. Wong, Hoi Ying & Guan, Peiqiu, 2011. "An FFT-network for Lévy option pricing," Journal of Banking & Finance, Elsevier, vol. 35(4), pages 988-999, April.
    8. Stefan Kassberger & Thomas Liebmann, 2011. "Minimal q-entropy martingale measures for exponential time-changed Lévy processes," Finance and Stochastics, Springer, vol. 15(1), pages 117-140, January.
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    Cited by:

    1. Fajardo, José & Corcuera, José Manuel & Menouken Pamen, Olivier, 2016. "On the optimal investment," MPRA Paper 71901, University Library of Munich, Germany.
    2. L. Rüschendorf & Steven Vanduffel, 2020. "On the construction of optimal payoffs," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 43(1), pages 129-153, June.

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    More about this item

    Keywords

    Path dependence; Optimal payoff; Risk aversion; Esscher transform;
    All these keywords.

    JEL classification:

    • G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions
    • G13 - Financial Economics - - General Financial Markets - - - Contingent Pricing; Futures Pricing

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