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Stochastic Dominance Bounds on Derivative Prices in a Multiperiod Economy with Proportional Transaction Costs

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  • George M. Constantinides
  • Stylianos Perrakis

Abstract

By applying stochastic dominance arguments, upper bounds on the reservation write price of European calls and puts and lower bounds on the reservation purchase price of these derivatives are derived in the presence of proportional transaction costs incurred in trading the underlying security. The primary contribution is the derivation of bounds when intermediate trading in the underlying security is allowed over the life of the option. A tight upper bound is derived on the reservation write price of a call and a tight lower bound is derived on the reservation purchase price of a put. These results jointly impose tight upper and lower bounds on the implied volatility.

Suggested Citation

  • George M. Constantinides & Stylianos Perrakis, 2002. "Stochastic Dominance Bounds on Derivative Prices in a Multiperiod Economy with Proportional Transaction Costs," NBER Working Papers 8867, National Bureau of Economic Research, Inc.
  • Handle: RePEc:nbr:nberwo:8867 Note: AP
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    1. E. R. Grannan & G. H. Swindle, 1996. "Minimizing Transaction Costs Of Option Hedging Strategies," Mathematical Finance, Wiley Blackwell, vol. 6(4), pages 341-364.
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    12. Boyle, Phelim P & Vorst, Ton, 1992. " Option Replication in Discrete Time with Transaction Costs," Journal of Finance, American Finance Association, vol. 47(1), pages 271-293, March.
    13. George M. Constantinides & Thaleia Zariphopoulou, 2001. "Bounds on Derivative Prices in an Intertemporal Setting with Proportional Transaction Costs and Multiple Securities," Mathematical Finance, Wiley Blackwell, vol. 11(3), pages 331-346.
    14. George M. Constantinides, 1979. "Multiperiod Consumption and Investment Behavior with Convex Transactions Costs," Management Science, INFORMS, vol. 25(11), pages 1127-1137, November.
    15. Levy, Haim, 1985. " Upper and Lower Bounds of Put and Call Option Value: Stochastic Dominance Approach," Journal of Finance, American Finance Association, vol. 40(4), pages 1197-1217, September.
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    17. Black, Fischer & Scholes, Myron S, 1973. "The Pricing of Options and Corporate Liabilities," Journal of Political Economy, University of Chicago Press, vol. 81(3), pages 637-654, May-June.
    18. Perrakis, Stylianos & Ryan, Peter J, 1984. " Option Pricing Bounds in Discrete Time," Journal of Finance, American Finance Association, vol. 39(2), pages 519-525, June.
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    Citations

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    Cited by:

    1. George M. Constantinides & Jens Carsten Jackwerth & Stylianos Perrakis, 2009. "Mispricing of S&P 500 Index Options," Review of Financial Studies, Society for Financial Studies, vol. 22(3), pages 1247-1277, March.
    2. John S. Ying & Joel S. Sternberg, 2005. "The Impact of Serial Correlation on Option Prices in a Non- Frictionless Environment: An Alternative Explanation for Volatility Skew," Working Papers 05-12, University of Delaware, Department of Economics.
    3. George M. Constantinides & Michal Czerwonko & Stylianos Perrakis, 2017. "Mispriced Index Option Portfolios," NBER Working Papers 23708, National Bureau of Economic Research, Inc.
    4. Siddiqi, Hammad, 2015. "Anchoring Heuristic in Option Pricing," Risk and Sustainable Management Group Working Papers 207677, University of Queensland, School of Economics.
    5. Nicolae Garleanu & Lasse Heje Pedersen & Allen M. Poteshman, 2009. "Demand-Based Option Pricing," Review of Financial Studies, Society for Financial Studies, vol. 22(10), pages 4259-4299, October.
    6. Michal Czerwonko & Stylianos Perrakis, 2016. "Portfolio Selection with Transaction Costs and Jump-Diffusion Asset Dynamics II: Economic Implications," Quarterly Journal of Finance (QJF), World Scientific Publishing Co. Pte. Ltd., vol. 6(04), pages 1-28, December.
    7. 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.
    8. 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.
    9. Siddiqi, Hammad, 2014. "Anchoring Heuristic in Option Prices," MPRA Paper 66018, University Library of Munich, Germany, revised 15 Jul 2015.
    10. Constantinides, George M. & Jackwerth, Jens Carsten & Perrakis, Stylianos, 2007. "Option Pricing: Real and Risk-Neutral Distributions," MPRA Paper 11637, University Library of Munich, Germany.
    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. Peter Christoffersen & Ruslan Goyenko & Kris Jacobs & Mehdi Karoui, 2011. "Illiquidity Premia in the Equity Options Market," CREATES Research Papers 2011-43, Department of Economics and Business Economics, Aarhus University.
    14. repec:dau:papers:123456789/30 is not listed on IDEAS
    15. Longarela, Iñaki R. & Mayoral, Silvia, 2015. "Quote inefficiency in options markets," Journal of Banking & Finance, Elsevier, vol. 55(C), pages 23-36.

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    JEL classification:

    • G13 - Financial Economics - - General Financial Markets - - - Contingent Pricing; Futures Pricing

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