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Do we understand delta hedging?

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  • Daniel Badagnani

    (Universidad Nacional de La Plata)

Abstract

We show that the delta-hedged portfolio is not actually risk-free even for brownian underlying due to history dependence in the ammount of hold portfolio. We find this ammount explicitly, as a function of underlying price evolution and option price. This shows that even in the B-S world (perfect market and brownian asset price evolution) the B-S equation can only be an approximation.

Suggested Citation

  • Daniel Badagnani, 2004. "Do we understand delta hedging?," Finance 0408008, EconWPA.
  • Handle: RePEc:wpa:wuwpfi:0408008 Note: Type of Document - pdf; pages: 4
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    File URL: http://econwpa.repec.org/eps/fin/papers/0408/0408008.pdf
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    1. Grifell-Tatje, E. & Lovell, C. A. K., 1997. "The sources of productivity change in Spanish banking," European Journal of Operational Research, Elsevier, vol. 98(2), pages 364-380, April.
    2. Berger, Allen N. & Humphrey, David B., 1997. "Efficiency of financial institutions: International survey and directions for future research," European Journal of Operational Research, Elsevier, vol. 98(2), pages 175-212, April.
    3. Altunbas, Y. & Gardener, E. P. M. & Molyneux, P. & Moore, B., 2001. "Efficiency in European banking," European Economic Review, Elsevier, vol. 45(10), pages 1931-1955, December.
    4. Oulton,Nicholas & O'Mahony,Mary, 1994. "Productivity and Growth," Cambridge Books, Cambridge University Press, number 9780521453455, March.
    5. K. R. Shanmugam & A. Das, 2004. "Efficiency of Indian commercial banks during the reform period," Applied Financial Economics, Taylor & Francis Journals, vol. 14(9), pages 681-686.
    6. Richard S. Barr & Kory A. Killgo & Thomas F. Siems & Sheri Zimmel, 1999. "Evaluating the productive efficiency and performance of U.S. commercial banks," Financial Industry Studies Working Paper 99-3, Federal Reserve Bank of Dallas.
    7. Barbara Casu & Philip Molyneux, 2003. "A comparative study of efficiency in European banking," Applied Economics, Taylor & Francis Journals, vol. 35(17), pages 1865-1876.
    8. R. D. Banker & A. Charnes & W. W. Cooper, 1984. "Some Models for Estimating Technical and Scale Inefficiencies in Data Envelopment Analysis," Management Science, INFORMS, vol. 30(9), pages 1078-1092, September.
    9. Bhattacharyya, Arunava & Lovell, C. A. K. & Sahay, Pankaj, 1997. "The impact of liberalization on the productive efficiency of Indian commercial banks," European Journal of Operational Research, Elsevier, vol. 98(2), pages 332-345, April.
    10. Saha, Asish & Ravisankar, T. S., 2000. "Rating of Indian commercial banks: A DEA approach," European Journal of Operational Research, Elsevier, vol. 124(1), pages 187-203, July.
    11. Charnes, A. & Cooper, W. W. & Rhodes, E., 1978. "Measuring the efficiency of decision making units," European Journal of Operational Research, Elsevier, vol. 2(6), pages 429-444, November.
    12. Caves, Douglas W & Christensen, Laurits R, 1980. "The Relative Efficiency of Public and Private Firms in a Competitive Environment: The Case of Canadian Railroads," Journal of Political Economy, University of Chicago Press, vol. 88(5), pages 958-976, October.
    13. Penny Neal, 2004. "X-Efficiency and Productivity Change in Australian Banking," Australian Economic Papers, Wiley Blackwell, vol. 43(2), pages 174-191, June.
    14. Cass, David & Stiglitz, Joseph E., 1970. "The structure of investor preferences and asset returns, and separability in portfolio allocation: A contribution to the pure theory of mutual funds," Journal of Economic Theory, Elsevier, vol. 2(2), pages 122-160, June.
    15. Fare, Rolf & Shawna Grosskopf & Mary Norris & Zhongyang Zhang, 1994. "Productivity Growth, Technical Progress, and Efficiency Change in Industrialized Countries," American Economic Review, American Economic Association, vol. 84(1), pages 66-83, March.
    16. Resti, Andrea, 1997. "Evaluating the cost-efficiency of the Italian Banking System: What can be learned from the joint application of parametric and non-parametric techniques," Journal of Banking & Finance, Elsevier, vol. 21(2), pages 221-250, February.
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    More about this item

    Keywords

    hedging; Black Scholes;

    JEL classification:

    • G - Financial Economics

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