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An Asymmetric Capital Asset Pricing Model

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  • Abdulnasser Hatemi-J

Abstract

Providing a measure of market risk is an important issue for investors and financial institutions. However, the existing models for this purpose are per definition symmetric. The current paper introduces an asymmetric capital asset pricing model for measurement of the market risk. It explicitly accounts for the fact that falling prices determine the risk for a long position in the risky asset and the rising prices govern the risk for a short position. Thus, a position dependent market risk measure that is provided accords better with reality. The empirical application reveals that Apple stock is more volatile than the market only for the short seller. Surprisingly, the investor that has a long position in this stock is facing a lower volatility than the market. This property is not captured by the standard asset pricing model, which has important implications for the expected returns and hedging designs.

Suggested Citation

  • Abdulnasser Hatemi-J, 2024. "An Asymmetric Capital Asset Pricing Model," Papers 2404.14137, arXiv.org, revised May 2024.
    • Handle: RePEc:arx:papers:2404.14137
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    References listed on IDEAS

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    1. Gordon, Myron J & Gould, L I, 1978. "The Cost of Equity Capital: A Reconsideration," Journal of Finance, American Finance Association, vol. 33(3), pages 849-861, June.
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    3. Hatemi-J, Abdulnasser & El-Khatib, Youssef, 2015. "Portfolio selection: An alternative approach," Economics Letters, Elsevier, vol. 135(C), pages 141-143.
    4. Daniel Andrei & Julien Cujean & Mungo Wilson, 2023. "The Lost Capital Asset Pricing Model," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 90(6), pages 2703-2762.
    5. William F. Sharpe, 1964. "Capital Asset Prices: A Theory Of Market Equilibrium Under Conditions Of Risk," Journal of Finance, American Finance Association, vol. 19(3), pages 425-442, September.
    6. Hatemi-J, Abdulnasser & El-Khatib, Youssef, 2023. "The Dividend Discount Model with Multiple Growth Rates of any Order for Stock Evaluation," Economia Internazionale / International Economics, Camera di Commercio Industria Artigianato Agricoltura di Genova, vol. 76(1), pages 135-146.
    7. Eugene F. Fama & Kenneth R. French, 2004. "The Capital Asset Pricing Model: Theory and Evidence," Journal of Economic Perspectives, American Economic Association, vol. 18(3), pages 25-46, Summer.
    8. Helga Habis, 2024. "A three-period extension of the CAPM," Journal of Economic Studies, Emerald Group Publishing Limited, vol. 51(9), pages 200-211, February.
    9. Myron J. Gordon & Eli Shapiro, 1956. "Capital Equipment Analysis: The Required Rate of Profit," Management Science, INFORMS, vol. 3(1), pages 102-110, October.
    10. Hatemi-J, Abdulnasser, 2013. "A New Asymmetric GARCH Model: Testing, Estimation and Application," MPRA Paper 45170, University Library of Munich, Germany.
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