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Derivative Security Markets, Market Manipulation, and Option Pricing Theory

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Author Info
Jarrow, Robert A.

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Abstract

This paper studies a new theory for pricing options in a large trader economy. This theory necessitates studying the impact that derivative security markets have on market manipulation. In an economy with a stock, money market account, and a derivative security, it is shown, by example, that the introduction of the derivative security generates market manipulation trading strategies that would otherwise not exist. A sufficient condition is provided on the price process such that no additional market manipulation trading strategies are introduced by a derivative security. Options are priced under this condition, where it is shown that the standard binomial option model still applies but with random volatilities.

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Publisher Info
Article provided by Cambridge University Press in its journal Journal of Financial and Quantitative Analysis.

Volume (Year): 29 (1994)
Issue (Month): 02 (June)
Pages: 241-261
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Handle: RePEc:cup:jfinqa:v:29:y:1994:i:02:p:241-261_00

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(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)
  1. Robert A. Jarrow, 1999. "In Honor of the Nobel Laureates Robert C. Merton and Myron S. Scholes: A Partial Differential Equation That Changed the World," Journal of Economic Perspectives, American Economic Association, vol. 13(4), pages 229-248, Fall. [Downloadable!] (restricted)
  2. Owen Lamont, 2004. "Go Down Fighting: Short Sellers vs. Firms," NBER Working Papers 10659, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
  3. Frey, Rüdiger & Alexander Stremme, 1995. "Market Volatility and Feedback Effects from Dynamic Hedging," Discussion Paper Serie B 310, University of Bonn, Germany. [Downloadable!]
  4. Cumming, D. & Johan, S.A., 2008. "Global market surveillance," Discussion Paper 2008-002, Tilburg University, Tilburg Law and Economic Center. [Downloadable!]
  5. Ulrich Horst & Felix Naujokat, 2008. "Illiquidity and Derivative Valuation," Quantitative Finance Papers 0901.0091, arXiv.org. [Downloadable!]
  6. K. Ronnie Sircar, George Papanicolaou, 1998. "General Black-Scholes models accounting for increased market volatility from hedging strategies," Applied Mathematical Finance, Taylor and Francis Journals, vol. 5(1), pages 45-82, March. [Downloadable!] (restricted)
  7. Frey, Rüdiger, 1997. "Derivative Asset Analysis in Models with Level-Dependent and Stochastic Volatility," Discussion Paper Serie B 401, University of Bonn, Germany. [Downloadable!]
  8. Güray Küçükkocaoglu, 2008. "Intra-Day Stock Returns and Close-End Price Manipulation in the Istanbul Stock Exchange," Frontiers in Finance and Economics, Lille Graduate School of Management, vol. 5(1), pages 46-84, April. [Downloadable!]
  9. David Bakstein & Sam Howison, 2002. "A Risk-Neutral Parametric Liquidity Model for Derivatives," OFRC Working Papers Series 2002mf02, Oxford Financial Research Centre. [Downloadable!]
  10. Mattias Jonsson & Jussi Keppo, 2002. "Option pricing for large agents," Applied Mathematical Finance, Taylor and Francis Journals, vol. 9(4), pages 261-272, December. [Downloadable!] (restricted)
  11. Frey, Rüdiger, 1996. "The Pricing and Hedging of Options in Finitely Elastic Markets," Discussion Paper Serie B 372, University of Bonn, Germany. [Downloadable!]
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