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Derivative Security Markets, Market Manipulation, and Option Pricing Theory

In: Financial Derivatives Pricing Selected Works of Robert Jarrow

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  • Robert A. Jarrow

    (Johnson Graduate School of Management, Cornell University, Ithaca, NY 14853, USA)

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.

Suggested Citation

  • Robert A. Jarrow, 2008. "Derivative Security Markets, Market Manipulation, and Option Pricing Theory," World Scientific Book Chapters, in: Financial Derivatives Pricing Selected Works of Robert Jarrow, chapter 7, pages 131-151, World Scientific Publishing Co. Pte. Ltd..
  • Handle: RePEc:wsi:wschap:9789812819222_0007
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    References listed on IDEAS

    as
    1. Norbert Hofmann & Eckhard Platen & Martin Schweizer, 1992. "Option Pricing Under Incompleteness and Stochastic Volatility," Mathematical Finance, Wiley Blackwell, vol. 2(3), pages 153-187, July.
    2. Mark Bagnoli & Barton L. Lipman, 1996. "Stock Price Manipulation Through Takeover Bids," RAND Journal of Economics, The RAND Corporation, vol. 27(1), pages 124-147, Spring.
    3. Bernard Bensaid & Jean‐Philippe Lesne & Henri Pagès & José Scheinkman, 1992. "Derivative Asset Pricing With Transaction Costs1," Mathematical Finance, Wiley Blackwell, vol. 2(2), pages 63-86, April.
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    More about this item

    Keywords

    Derivatives; Options; Hedging; HJM; Black–Scholes; Forwards; Futures; Martingale Measure; Calls; Puts; Market Manipulation; Margin Requirements;

    JEL classification:

    • B26 - Schools of Economic Thought and Methodology - - History of Economic Thought since 1925 - - - Financial Economics
    • O16 - Economic Development, Innovation, Technological Change, and Growth - - Economic Development - - - Financial Markets; Saving and Capital Investment; Corporate Finance and Governance
    • E44 - Macroeconomics and Monetary Economics - - Money and Interest Rates - - - Financial Markets and the Macroeconomy

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