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Endogenous inverse demand functions

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  • Maxim Bichuch
  • Zachary Feinstein

Abstract

In this work we present an equilibrium formulation for price impacts. This is motivated by the Buhlmann equilibrium in which assets are sold into a system of market participants, e.g. a fire sale in systemic risk, and can be viewed as a generalization of the Esscher premium. Existence and uniqueness of clearing prices for the liquidation of a portfolio are studied. We also investigate other desired portfolio properties including monotonicity and concavity. Price per portfolio unit sold is also calculated. In special cases, we study price impacts generated by market participants who follow the exponential utility and power utility.

Suggested Citation

  • Maxim Bichuch & Zachary Feinstein, 2020. "Endogenous inverse demand functions," Papers 2012.08002, arXiv.org, revised Apr 2022.
    • Handle: RePEc:arx:papers:2012.08002
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    References listed on IDEAS

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    12. Tathagata Banerjee & Zachary Feinstein, 2019. "Price mediated contagion through capital ratio requirements with VWAP liquidation prices," Papers 1910.12130, arXiv.org, revised Feb 2021.
    13. Maxim Bichuch & Zachary Feinstein, 2020. "A Repo Model of Fire Sales with VWAP and LOB Pricing Mechanisms," Papers 2005.05364, arXiv.org, revised Mar 2021.
    14. Rama Cont & Eric Schaanning, 2017. "Fire sales, indirect contagion and systemic stress testing," Working Paper 2017/2, Norges Bank.
    15. Cont, Rama & Schaanning, Eric, 2019. "Monitoring indirect contagion," Journal of Banking & Finance, Elsevier, vol. 104(C), pages 85-102.
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    Cited by:

    1. Knut K. Aase, 2022. "Optimal Risk Sharing in Society," Mathematics, MDPI, vol. 10(1), pages 1-31, January.
    2. Pang, Raymond Ka-Kay & Veraart, Luitgard A. M., 2023. "Assessing and mitigating fire sales risk under partial information," LSE Research Online Documents on Economics 120171, London School of Economics and Political Science, LSE Library.
    3. Zhiyu Cao & Zihan Chen & Prerna Mishra & Hamed Amini & Zachary Feinstein, 2023. "Modeling Inverse Demand Function with Explainable Dual Neural Networks," Papers 2307.14322, arXiv.org, revised Oct 2023.
    4. Pang, Raymond Ka-Kay & Veraart, Luitgard Anna Maria, 2023. "Assessing and mitigating fire sales risk under partial information," Journal of Banking & Finance, Elsevier, vol. 155(C).
    5. Breuer, Thomas & Summer, Martin & Urošević, Branko, 2023. "Bank solvency stress tests with fire sales," Journal of Financial Stability, Elsevier, vol. 67(C).
    6. Zhiyu Cao & Zachary Feinstein, 2023. "Price-mediated contagion with endogenous market liquidity," Papers 2311.05977, arXiv.org, revised Sep 2024.

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