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Option Bounds with Finite Revision Opportunities

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  • Ritchken, Peter H
  • Kuo, Shyanjaw

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.

Suggested Citation

  • Ritchken, Peter H & Kuo, Shyanjaw, 1988. " Option Bounds with Finite Revision Opportunities," Journal of Finance, American Finance Association, vol. 43(2), pages 301-308, June.
  • Handle: RePEc:bla:jfinan:v:43:y:1988:i:2:p:301-08
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    References listed on IDEAS

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    1. Grossman, Sanford J, 1988. "An Analysis of the Implications for Stock and Futures Price Volatility of Program Trading and Dynamic Hedging Strategies," The Journal of Business, University of Chicago Press, vol. 61(3), pages 275-298, July.
    2. Cohen, Kalman J, et al, 1981. "Transaction Costs, Order Placement Strategy, and Existence of the Bid-Ask Spread," Journal of Political Economy, University of Chicago Press, vol. 89(2), pages 287-305, April.
    3. Glosten, Lawrence R. & Milgrom, Paul R., 1985. "Bid, ask and transaction prices in a specialist market with heterogeneously informed traders," Journal of Financial Economics, Elsevier, vol. 14(1), pages 71-100, March.
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    Citations

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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. Siddiqi, Hammad, 2014. "Anchoring Heuristic in Option Prices," MPRA Paper 66018, University Library of Munich, Germany, revised 15 Jul 2015.
    3. Flåm, Sjur, 2007. "Option Pricing by Mathematical Programming," Working Papers 2007:10, Lund University, Department of Economics.
    4. Constantinides, George M. & Jackwerth, Jens Carsten & Perrakis, Stylianos, 2007. "Option Pricing: Real and Risk-Neutral Distributions," MPRA Paper 11637, University Library of Munich, Germany.
    5. Siddiqi, Hammad, 2015. "Anchoring Heuristic in Option Pricing," Risk and Sustainable Management Group Working Papers 207677, University of Queensland, School of Economics.
    6. Peter Christoffersen & Redouane Elkamhi & Bruno Feunou & Kris Jacobs, 2010. "Option Valuation with Conditional Heteroskedasticity and Nonnormality," Review of Financial Studies, Society for Financial Studies, vol. 23(5), pages 2139-2183.
    7. Peter Ryan, 2000. "Tighter Option Bounds from Multiple Exercise Prices," Review of Derivatives Research, Springer, vol. 4(2), pages 155-188, May.
    8. 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.
    9. Braouezec, Yann & Grunspan, Cyril, 2016. "A new elementary geometric approach to option pricing bounds in discrete time models," European Journal of Operational Research, Elsevier, vol. 249(1), pages 270-280.
    10. 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.
    11. 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.
    12. Siddiqi, Hammad, 2015. "Anchoring and Adjustment Heuristic in Option Pricing," MPRA Paper 68595, University Library of Munich, Germany.
    13. 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.
    14. Vishal Gaur & Sridhar Seshadri & Marti G. Subrahmanyam, 2011. "Securitization and Real Investment in Incomplete Markets," Management Science, INFORMS, vol. 57(12), pages 2180-2196, December.
    15. Lim, Terence & Lo, Andrew W. & Merton, Robert C. & Scholes, Myron S., 2006. "The Derivatives Sourcebook," Foundations and Trends(R) in Finance, now publishers, vol. 1(5–6), pages 365-572, April.
    16. John Handley, 2005. "On the Upper Bound of a Call Option," Review of Derivatives Research, Springer, vol. 8(2), pages 85-95, August.
    17. 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.

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