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When to sell Apple and the NASDAQ? Trading bubbles with a stochastic disorder model

Author

Listed:
  • Shiryaev, Albert N.
  • Zhitlukhin, M. V.
  • Ziemba, William T.

Abstract

In this paper, the authors apply a continuous time stochastic process model developed by Shiryaev and Zhutlukhin for optimal stopping of random price processes that appear to be bubbles. By a bubble we mean the rising price is largely based on the expectation of higher and higher future prices. Futures traders such as George Soros attempt to trade such markets. The idea is to exit near the peak from a starting long position. The model applies equally well on the short side, that is when to enter and exit a short position. In this paper we test the model in two technology markets. These include the price of Apple computer stock AAPL from various times in 2009-2012 after the local low of March 6, 2009; plus a market where it is known that the generally very successful bubble trader George Soros lost money by shorting the NASDAQ-100 stock index too soon in 2000. The Shiryaev-Zhitlukhin model provides good exit points in both situations that would have been profitable to speculators following the model.

Suggested Citation

  • Shiryaev, Albert N. & Zhitlukhin, M. V. & Ziemba, William T., 2013. "When to sell Apple and the NASDAQ? Trading bubbles with a stochastic disorder model," LSE Research Online Documents on Economics 60966, London School of Economics and Political Science, LSE Library.
  • Handle: RePEc:ehl:lserod:60966
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    References listed on IDEAS

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    1. Sébastien Lleo & William T. Ziemba, 2013. "Stock Market Crashes In 2007–2009: Were We Able To Predict Them?," World Scientific Book Chapters, in: Oliviero Roggi & Edward I Altman (ed.), Managing and Measuring Risk Emerging Global Standards and Regulations After the Financial Crisis, chapter 13, pages 457-499, World Scientific Publishing Co. Pte. Ltd..
    2. Stiglitz, Joseph E, 1990. "Symposium on Bubbles," Journal of Economic Perspectives, American Economic Association, vol. 4(2), pages 13-18, Spring.
    3. French, Kenneth R. & Poterba, James M., 1991. "Were Japanese stock prices too high?," Journal of Financial Economics, Elsevier, vol. 29(2), pages 337-363, October.
    4. Evanoff, Douglas D. & Kaufman, George G. & Malliaris, A. G. (ed.), 2012. "New Perspectives on Asset Price Bubbles," OUP Catalogue, Oxford University Press, number 9780199844401.
    5. Evanoff, Douglas D. & Kaufman, George G. & Malliaris, A. G. (ed.), 2012. "New Perspectives on Asset Price Bubbles," OUP Catalogue, Oxford University Press, number 9780199844333.
    Full references (including those not matched with items on IDEAS)

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    More about this item

    JEL classification:

    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates
    • D84 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Expectations; Speculations
    • C00 - Mathematical and Quantitative Methods - - General - - - General

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