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A Pricing Theory under a Finite Number of Securities Issued: A Synthesis of "Market Microstructure" and "Mathematical Finance"

Author

Listed:
  • Yoshihiko Uchida

    (Director and Senior Economist, Institute for Monetary and Economic Studies, Bank of Japan (E-mail: yoshihiko.uchida@boj.or.jp))

  • Daisuke Yoshikawa

    (Economist, Institute for Monetary and Economic Studies, Bank of Japan (currently, Lecturer, Faculty of Business Administration, Hokkai Gakuen University, E-mail: yoshikawa@ba.hokkai-s-u.ac.jp))

Abstract

Traditional finance theory generally assumes a frictionless market, in which a risk premium is described only by price volatility. In reality, however, the risk premium is influenced by a range of factors including the market microstructure. This paper constructs a novel no- arbitrage and complete model that explicitly incorporates among the market microstructure factors a constraint on a finite number of securities issued. From the theoretical perspective, the model is a synthesis of market microstructure and mathematical finance in that it makes it possible to derive a risk-neutral price applicable to a market with a detailed market microstructure. We also calibrate the model to show that the price in the Japanese government bond futures market is significantly affected by the factor of number of securities issued.

Suggested Citation

  • Yoshihiko Uchida & Daisuke Yoshikawa, 2014. "A Pricing Theory under a Finite Number of Securities Issued: A Synthesis of "Market Microstructure" and "Mathematical Finance"," IMES Discussion Paper Series 14-E-04, Institute for Monetary and Economic Studies, Bank of Japan.
    • Handle: RePEc:ime:imedps:14-e-04
    as

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    References listed on IDEAS

    as
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    More about this item

    Keywords

    Security price; Number of securities issued; Risk neutral pricing rule; Market microstructure; No-arbitrage; Quasi risk aversion; Quasi risk neutral measure;
    All these keywords.

    JEL classification:

    • D49 - Microeconomics - - Market Structure, Pricing, and Design - - - Other
    • G01 - Financial Economics - - General - - - Financial Crises
    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates

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