Market Volatility and Feedback Effects from Dynamic Hedging
Abstract
In this paper we analyze the manner in which the demand generated by dynamic hedging strategies affects the equilibrium price of the underlying asset. We derive an explicit expression for the transformation of market volatility under the impact of such strategies. It turns out that volatility increases and becomes time and price dependent. The strength of these effects however depends not only on the share of total demand that is due to hedging, but also significantly on the heterogeneity of the distribution of hedged payoffs. We finally discuss in what sense hedging strategies derived from the assumption of constant volatility may still be appropriate even though their implementation obviously violates this assumption. Copyright Blackwell Publishers Inc 1997.Download Info
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Bibliographic Info
Article provided by Wiley Blackwell in its journal Mathematical Finance.
Volume (Year): 7 (1997)
Issue (Month): 4 ()
Pages: 351-374
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Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.Cited by:
- Jarrow, Robert & Protter, Philip, 2005. "Large traders, hidden arbitrage, and complete markets," Journal of Banking & Finance, Elsevier, vol. 29(11), pages 2803-2820, November.
- Thorsten Hens & Stefan Reimann & Bodo Vogt, . "Competitive Nash Equilibria and Two Period Fund Separation," IEW - Working Papers 172, Institute for Empirical Research in Economics - University of Zurich.
- M. E. Mancino & S. Ogawa & S. Sanfelici, 2004. "A numerical study of the smile effect in implied volatilities induced by a nonlinear feedback model," Economics Department Working Papers 2004-ME01, Department of Economics, Parma University (Italy).
- Bauer, Christian & Herz, Bernhard, 2009. "Monetary and exchange rate stability in South and East Asia," Pacific-Basin Finance Journal, Elsevier, vol. 17(3), pages 352-371, June.
- Bronka Rzepkowski, 2003. "Order Flows, Delta Hedging and Exchange Rate Dynamics," Working Papers 2003-18, CEPII research center.
- Terry Marsh & Takao Kobayashi, 2000.
"The Contributions of Professors Fischer Black, Robert Merton and Myron Scholes to the Financial Services Industry,"
International Review of Finance,
International Review of Finance Ltd., vol. 1(4), pages 295-315.
- Terry Marsh & Takao Kobayashi, 2001. "The Contributions of Professors Fischer Black, Robert Merton, and Myron Scholes to the Financial Services Industry," CIRJE F-Series CIRJE-F-120, CIRJE, Faculty of Economics, University of Tokyo.
- R. Andergassen, 2002. "financial contagion and asset price dynamics," Working Papers 448, Dipartimento Scienze Economiche, Universita' di Bologna.
- Hens, Thorsten & Reimann, Stefan & Vogt, Bodo, 2004. "Nash competitive equilibria and two-period fund separation," Journal of Mathematical Economics, Elsevier, vol. 40(3-4), pages 321-346, June.
- Christian Bauer & Bernhard Herz, 2006. "Monetary and Exchange Rate Stability at the EU. Mediterranean Borders," Revue économique, Presses de Sciences-Po, vol. 57(4), pages 899-917.
- Astic, Fabian & Touzi, Nizar, 2007. "No arbitrage conditions and liquidity," Journal of Mathematical Economics, Elsevier, vol. 43(6), pages 692-708, August.
- Daniel Sevcovic, 2007. "An iterative algorithm for evaluating approximations to the optimal exercise boundary for a nonlinear Black-Scholes equation," Papers 0710.5301, arXiv.org.
- Gill, Ryan & Lee, Kiseop & Song, Seongjoo, 2007. "Computation of estimates in segmented regression and a liquidity effect model," Computational Statistics & Data Analysis, Elsevier, vol. 51(12), pages 6459-6475, August.
- E. Agliardi & R. Andergassen, 2002. "Feedback effects of dynamic hedging strategies in the presence of transaction costs," Working Papers 445, Dipartimento Scienze Economiche, Universita' di Bologna.
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