IDEAS home Printed from https://ideas.repec.org/a/cuf/journl/y2005v6i1p185-207.html
   My bibliography  Save this article

Dichotomous Asset Pricing Model

Author

Listed:
  • Liang Zou

    (University of Amsterdam)

Abstract

Cross-asset derivative securities are studied and a dichotomous asset pricing model (DAPM) is derived that significantly enriches the Sharpe-Lintner-Black capital asset pricing model. An assets beta is shown to be observable ex ante through the price of its cross-market call or put, and the DAPM separately predicts the assets' expected return - beta relations under the upper-market and lower-market conditions. A sufficient condition for the DAPM to hold is that assets return distributions satisfy Ross' (1978) two-fund separation property, which implies that any well-diversified portfolio is both mean-variance and gain-loss efficient.

Suggested Citation

  • Liang Zou, 2005. "Dichotomous Asset Pricing Model," Annals of Economics and Finance, Society for AEF, vol. 6(1), pages 185-207, May.
    • Handle: RePEc:cuf:journl:y:2005:v:6:i:1:p:185-207
    as

    Download full text from publisher

    File URL: http://aeconf.com/Articles/May2005/aef060111.pdf
    Download Restriction: no
    File URL: http://down.aefweb.net/AefArticles/aef060111.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Bawa, Vijay S., 1975. "Optimal rules for ordering uncertain prospects," Journal of Financial Economics, Elsevier, vol. 2(1), pages 95-121, March.
    2. Ľuboš Pástor & Robert F. Stambaugh, 1999. "Costs of Equity Capital and Model Mispricing," Journal of Finance, American Finance Association, vol. 54(1), pages 67-121, February.
    3. Hansen, Lars Peter & Jagannathan, Ravi, 1997. "Assessing Specification Errors in Stochastic Discount Factor Models," Journal of Finance, American Finance Association, vol. 52(2), pages 557-590, June.
    4. Bawa, Vijay S, 1976. "Admissible Portfolios for All Individuals," Journal of Finance, American Finance Association, vol. 31(4), pages 1169-1183, September.
    5. François Longin & Bruno Solnik, 2001. "Extreme Correlation of International Equity Markets," Journal of Finance, American Finance Association, vol. 56(2), pages 649-676, April.
    6. Fishburn, Peter C, 1977. "Mean-Risk Analysis with Risk Associated with Below-Target Returns," American Economic Review, American Economic Association, vol. 67(2), pages 116-126, March.
    7. Bawa, Vijay S. & Lindenberg, Eric B., 1977. "Abstract: Capital Market Equilibrium in a Mean-Lower Partial Moment Framework," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 12(4), pages 635-635, November.
    8. John H. Cochrane & Jesus Saa-Requejo, 2000. "Beyond Arbitrage: Good-Deal Asset Price Bounds in Incomplete Markets," Journal of Political Economy, University of Chicago Press, vol. 108(1), pages 79-119, February.
    9. Stephen A. Ross, 2005. "Mutual Fund Separation in Financial Theory—The Separating Distributions," World Scientific Book Chapters, in: Sudipto Bhattacharya & George M Constantinides (ed.), Theory Of Valuation, chapter 10, pages 309-356, World Scientific Publishing Co. Pte. Ltd..
    10. Antonio E. Bernardo & Olivier Ledoit, 2000. "Gain, Loss, and Asset Pricing," Journal of Political Economy, University of Chicago Press, vol. 108(1), pages 144-172, February.
    11. 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.
    12. Ang, Andrew & Chen, Joseph, 2002. "Asymmetric correlations of equity portfolios," Journal of Financial Economics, Elsevier, vol. 63(3), pages 443-494, March.
    13. Fama, Eugene F. & French, Kenneth R., 1997. "Industry costs of equity," Journal of Financial Economics, Elsevier, vol. 43(2), pages 153-193, February.
    14. Black, Fischer, 1972. "Capital Market Equilibrium with Restricted Borrowing," The Journal of Business, University of Chicago Press, vol. 45(3), pages 444-455, July.
    15. Liang Zou, 2000. "Inherent Efficiency, Security Markets, and the Pricing of Investment Strategies," Tinbergen Institute Discussion Papers 00-108/2, Tinbergen Institute.
    16. Bawa, Vijay S. & Lindenberg, Eric B., 1977. "Capital market equilibrium in a mean-lower partial moment framework," Journal of Financial Economics, Elsevier, vol. 5(2), pages 189-200, November.
    17. Roll, Richard & Ross, Stephen A, 1994. "On the Cross-sectional Relation between Expected Returns and Betas," Journal of Finance, American Finance Association, vol. 49(1), pages 101-121, March.
    18. Dybvig, Philip H & Ingersoll, Jonathan E, Jr, 1982. "Mean-Variance Theory in Complete Markets," The Journal of Business, University of Chicago Press, vol. 55(2), pages 233-251, April.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Anthonisz, Sean A., 2012. "Asset pricing with partial-moments," Journal of Banking & Finance, Elsevier, vol. 36(7), pages 2122-2135.
    2. José Afonso Faias & Juan Arismendi Zambrano, 2022. "Equity Risk Premium Predictability from Cross-Sectoral Downturns [International asset allocation with regime shifts]," The Review of Asset Pricing Studies, Society for Financial Studies, vol. 12(3), pages 808-842.
    3. Guobin Fan & Eric Girardin & Wong K. Wong & Yong Zeng, 2015. "The Risk of Individual Stocks’ Tail Dependence with the Market and Its Effect on Stock Returns," Discrete Dynamics in Nature and Society, Hindawi, vol. 2015, pages 1-17, November.
    4. Sebastien Valeyre & Sofiane Aboura & Denis Grebenkov, 2019. "The Reactive Beta Model," Journal of Financial Research, Southern Finance Association;Southwestern Finance Association, vol. 42(1), pages 71-113, March.
    5. Tamara Ajrapetova, 2018. "Cross-Section of Asset Returns: Emerging Markets and Market Integration," European Financial and Accounting Journal, Prague University of Economics and Business, vol. 2018(1), pages 41-60.
    6. León, Ángel & Moreno, Manuel, 2015. "Lower Partial Moments under Gram Charlier Distribution: Performance Measures and Efficient Frontiers," QM&ET Working Papers 15-3, University of Alicante, D. Quantitative Methods and Economic Theory.
    7. Ruenzi, Stefan & Ungeheuer, Michael & Weigert, Florian, 2020. "Joint Extreme events in equity returns and liquidity and their cross-sectional pricing implications," Journal of Banking & Finance, Elsevier, vol. 115(C).
    8. León, Angel & Moreno, Manuel, 2017. "One-sided performance measures under Gram-Charlier distributions," Journal of Banking & Finance, Elsevier, vol. 74(C), pages 38-50.
    9. Nicholas V. Vakkur & Zulma J. Herrera‐Vakkur, 2012. "Ripple effects: Sarbanes Oxley's impact upon investor risk in a global economy," Review of Accounting and Finance, Emerald Group Publishing Limited, vol. 11(2), pages 184-205, May.
    10. Ravi Jagannathan & Zhenyu Wang, 2002. "Empirical Evaluation of Asset‐Pricing Models: A Comparison of the SDF and Beta Methods," Journal of Finance, American Finance Association, vol. 57(5), pages 2337-2367, October.
    11. Zhangxin (Frank) Liu & Michael J. O'Neill, 2018. "Partial moment volatility indices," Accounting and Finance, Accounting and Finance Association of Australia and New Zealand, vol. 58(1), pages 195-215, March.
    12. Hildebrandt, Patrick & Knoke, Thomas, 2011. "Investment decisions under uncertainty--A methodological review on forest science studies," Forest Policy and Economics, Elsevier, vol. 13(1), pages 1-15, January.
    13. Javier Estrada, 2009. "The Gain‐Loss Spread: A New and Intuitive Measure of Risk," Journal of Applied Corporate Finance, Morgan Stanley, vol. 21(4), pages 104-114, September.
    14. Javed Iqbal & Sara Azher, 2014. "Value-at-Risk and Expected Stock Returns: Evidence from Pakistan," Lahore Journal of Economics, Department of Economics, The Lahore School of Economics, vol. 19(2), pages 71-100, July-Dec.
    15. Alexander, Gordon J. & Baptista, Alexandre M., 2002. "Economic implications of using a mean-VaR model for portfolio selection: A comparison with mean-variance analysis," Journal of Economic Dynamics and Control, Elsevier, vol. 26(7-8), pages 1159-1193, July.
    16. Pedersen, Christian S., 2000. "Separating risk and return in the CAPM: A general utility-based model," European Journal of Operational Research, Elsevier, vol. 123(3), pages 628-639, June.
    17. Gilles Boevi Koumou, 2020. "Diversification and portfolio theory: a review," Financial Markets and Portfolio Management, Springer;Swiss Society for Financial Market Research, vol. 34(3), pages 267-312, September.
    18. Fredj Jawadi & Wael Louhichi & Abdoulkarim Idi Cheffou & Hachmi Ben Ameur, 2019. "Modeling time-varying beta in a sustainable stock market with a three-regime threshold GARCH model," Annals of Operations Research, Springer, vol. 281(1), pages 275-295, October.
    19. Nicholas V. Vakkur & Zulma J. Herrera, 2011. "Sarbanes Oxley's impact upon investor‐relevant risk types," Journal of Financial Regulation and Compliance, Emerald Group Publishing Limited, vol. 19(3), pages 254-270, July.
    20. Usman Ayub & Samaila Kausar & Umara Noreen & Muhammad Zakaria & Imran Abbas Jadoon, 2020. "Downside Risk-Based Six-Factor Capital Asset Pricing Model (CAPM): A New Paradigm in Asset Pricing," Sustainability, MDPI, vol. 12(17), pages 1-16, August.

    More about this item

    Keywords

    Mean-variance; Gain-loss; Upper-market beta; Lower-market beta; Cross-asset derivative security; Dichotomous asset pricing;
    All these keywords.

    JEL classification:

    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:cuf:journl:y:2005:v:6:i:1:p:185-207. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Qiang Gao (email available below). General contact details of provider: https://edirc.repec.org/data/emcufcn.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.