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Option Bounds with Finite Revision Opportunities

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  • Ritchken, Peter H
  • Kuo, Shyanjaw
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    Abstract

    This article generalizes the single-period linear programming option bound prices by allowing for a finite nu mber of revision opportunities. It is shown that, in an incomplete ma rket, the bounds on option prices can be derived using a modified bin omial option pricing model. Tighter bounds are developed under more r estrictive assumptions on probabilities and risk aversion. For this c ase, the upper bounds are shown to coincide with the upper bounds der ived by S. Perrakis, while the lower bounds are shown to be tighter. Copyright 1988 by American Finance Association.

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    Bibliographic Info

    Article provided by American Finance Association in its journal Journal of Finance.

    Volume (Year): 43 (1988)
    Issue (Month): 2 (June)
    Pages: 301-08

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    Handle: RePEc:bla:jfinan:v:43:y:1988:i:2:p:301-08

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    Cited by:
    1. Perrakis, Stylianos & Boloorforoosh, Ali, 2013. "Valuing catastrophe derivatives under limited diversification: A stochastic dominance approach," Journal of Banking & Finance, Elsevier, vol. 37(8), pages 3157-3168.
    2. Peter Ryan, 2000. "Tighter Option Bounds from Multiple Exercise Prices," Review of Derivatives Research, Springer, vol. 4(2), pages 155-188, May.
    3. Peter Christoffersen & Redouane Elkamhi & Bruno Feunou & Kris Jacobs, 2009. "Option Valuation with Conditional Heteroskedasticity and Non-Normality," CREATES Research Papers 2009-33, School of Economics and Management, University of Aarhus.
    4. Hauser, Schmuel & Levy, Azriel, 1996. "Pricing of foreign exchange options with transaction costs: The choice of trading interval," International Review of Financial Analysis, Elsevier, vol. 5(2), pages 145-160.
    5. Constantinides, George M. & Perrakis, Stylianos, 2002. "Stochastic dominance bounds on derivatives prices in a multiperiod economy with proportional transaction costs," Journal of Economic Dynamics and Control, Elsevier, vol. 26(7-8), pages 1323-1352, July.
    6. Kamlesh Mathur & Peter Ritchken, 1999. "Minimum option prices under decreasing absolute risk aversion," Review of Derivatives Research, Springer, vol. 3(2), pages 135-156, May.
    7. Ryan, Peter J., 2003. "Progressive option bounds from the sequence of concurrently expiring options," European Journal of Operational Research, Elsevier, vol. 151(1), pages 193-223, November.
    8. Hsuan-Chu Lin & Ren-Raw Chen & Oded Palmon, 2012. "Non-parametric method for European option bounds," Review of Quantitative Finance and Accounting, Springer, vol. 38(1), pages 109-129, January.
    9. Constantinides, George M. & Jackwerth, Jens Carsten & Perrakis, Stylianos, 2007. "Option Pricing: Real and Risk-Neutral Distributions," MPRA Paper 11637, University Library of Munich, Germany.
    10. John Handley, 2005. "On the Upper Bound of a Call Option," Review of Derivatives Research, Springer, vol. 8(2), pages 85-95, August.

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