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Efficient Option Replication in the Presence of Transactions Costs

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  • Lionel Martellini

Abstract

In the presence of transaction costs, a risk-return trade-off exists between the quality and the cost of a replicating strategy. In that context, I show how to expand the set of all possible time-based strategies through the introduction of a multi-scale class of strategies, which consist in rebalancing different fractions of an option portfolio at different time frequencies. The method, based on time-scale diversification, is to dynamic replication what investment in diversified portfoliosis to static portfolio selection: in a dynamic context, one may enjoy the benefits of diversification by using different time scales in trading the same asset. Copyright Kluwer Academic Publishers 2000

Suggested Citation

  • Lionel Martellini, 2000. "Efficient Option Replication in the Presence of Transactions Costs," Review of Derivatives Research, Springer, vol. 4(2), pages 107-131, May.
    • Handle: RePEc:kap:revdev:v:4:y:2000:i:2:p:107-131
    DOI: 10.1023/A:1009632624999
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    References listed on IDEAS

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    1. Jouini Elyes & Kallal Hedi, 1995. "Martingales and Arbitrage in Securities Markets with Transaction Costs," Journal of Economic Theory, Elsevier, vol. 66(1), pages 178-197, June.
    2. Leland, Hayne E, 1985. "Option Pricing and Replication with Transactions Costs," Journal of Finance, American Finance Association, vol. 40(5), pages 1283-1301, December.
    3. Edirisinghe, Chanaka & Naik, Vasanttilak & Uppal, Raman, 1993. "Optimal Replication of Options with Transactions Costs and Trading Restrictions," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 28(1), pages 117-138, March.
    4. Vincent Lacoste, 1996. "Wiener Chaos: A New Approach To Option Hedging," Mathematical Finance, Wiley Blackwell, vol. 6(2), pages 197-213, April.
    5. repec:dau:papers:123456789/5630 is not listed on IDEAS
    6. A. E. Whalley & P. Wilmott, 1997. "An Asymptotic Analysis of an Optimal Hedging Model for Option Pricing with Transaction Costs," Mathematical Finance, Wiley Blackwell, vol. 7(3), pages 307-324, July.
    7. Jegadeesh, Narasimhan, 1990. "Evidence of Predictable Behavior of Security Returns," Journal of Finance, American Finance Association, vol. 45(3), pages 881-898, July.
    8. Toft, Klaus Bjerre, 1996. "On the Mean-Variance Tradeoff in Option Replication with Transactions Costs," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 31(2), pages 233-263, June.
    9. 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.
    10. repec:crs:wpaper:9513 is not listed on IDEAS
    11. Fulvio Ortu, 2001. "Arbitrage, linear programming and martingales¶in securities markets with bid-ask spreads," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 24(2), pages 79-105, November.
    12. Roll, Richard, 1984. "A Simple Implicit Measure of the Effective Bid-Ask Spread in an Efficient Market," Journal of Finance, American Finance Association, vol. 39(4), pages 1127-1139, September.
    13. Magill, Michael J. P. & Constantinides, George M., 1976. "Portfolio selection with transactions costs," Journal of Economic Theory, Elsevier, vol. 13(2), pages 245-263, October.
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    Cited by:

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