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Asset pricing with heterogeneous beliefs and illiquidity

Author

Listed:
  • Johannes Muhle‐Karbe
  • Marcel Nutz
  • Xiaowei Tan

Abstract

This paper studies the equilibrium price of an asset that is traded in continuous time between N agents who have heterogeneous beliefs about the state process underlying the asset's payoff. We propose a tractable model where agents maximize expected returns under quadratic costs on inventories and trading rates. The unique equilibrium price is characterized by a weakly coupled system of linear parabolic equations which shows that holding and liquidity costs play dual roles. We derive the leading‐order asymptotics for small transaction and holding costs which give further insight into the equilibrium and the consequences of illiquidity.

Suggested Citation

  • Johannes Muhle‐Karbe & Marcel Nutz & Xiaowei Tan, 2020. "Asset pricing with heterogeneous beliefs and illiquidity," Mathematical Finance, Wiley Blackwell, vol. 30(4), pages 1392-1421, October.
    • Handle: RePEc:bla:mathfi:v:30:y:2020:i:4:p:1392-1421
    DOI: 10.1111/mafi.12268
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    References listed on IDEAS

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    Cited by:

    1. Martin Herdegen & Johannes Muhle-Karbe & Dylan Possamaï, 2021. "Equilibrium asset pricing with transaction costs," Finance and Stochastics, Springer, vol. 25(2), pages 231-275, April.
    2. Peter Bank & Ibrahim Ekren & Johannes Muhle‐Karbe, 2021. "Liquidity in competitive dealer markets," Mathematical Finance, Wiley Blackwell, vol. 31(3), pages 827-856, July.
    3. Seunghyun Lee & Hyungbin Park, 2020. "Conditions for bubbles to arise under heterogeneous beliefs," Papers 2012.13753, arXiv.org, revised Oct 2021.
    4. Masaaki Fukasawa & Takashi Sato & Jun Sekine, 2023. "Backward stochastic difference equations on lattices with application to market equilibrium analysis," Papers 2312.10883, arXiv.org.
    5. Johannes Muhle-Karbe & Xiaofei Shi & Chen Yang, 2020. "An Equilibrium Model for the Cross-Section of Liquidity Premia," Papers 2011.13625, arXiv.org.

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