IDEAS home Printed from https://ideas.repec.org/a/eee/ecofin/v51y2020ics1062940818305424.html
   My bibliography  Save this article

Disagreements with noisy signals and asset pricing

Author

Listed:
  • Wang, Hailong
  • Hu, Duni
  • Ma, Chaoqun
  • Cheng, Fengchao

Abstract

We consider a Lucas-type exchange economy with two trees and two investors to analyze the effects of heterogeneous beliefs and signal quality on stock market equilibrium. Our model has the following implications. There are spillover effects, in that the investors’ heterogeneous beliefs and signal quality related to one stock not only affect its own price and pricing moments, but also affect those of the other. Contrary to the conventional wisdom, we show that the volatility of one stock decreases with both its own and the other stock’s disagreements. Additionally, we reveal a negative correlation between the stocks, which decreases as the investors’ dispersions raise but increases as the discrepancy in signal quality reduces. We also show that heterogeneous beliefs and signal quality impact stock market beta mainly through scale and volatility effects, respectively. Furthermore, our findings suggest that both heterogeneous beliefs and signal quality have significant influences on the investors’ optimal portfolio plans.

Suggested Citation

  • Wang, Hailong & Hu, Duni & Ma, Chaoqun & Cheng, Fengchao, 2020. "Disagreements with noisy signals and asset pricing," The North American Journal of Economics and Finance, Elsevier, vol. 51(C).
  • Handle: RePEc:eee:ecofin:v:51:y:2020:i:c:s1062940818305424
    DOI: 10.1016/j.najef.2019.101062
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S1062940818305424
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.najef.2019.101062?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Pietro Veronesi, 2000. "How Does Information Quality Affect Stock Returns?," Journal of Finance, American Finance Association, vol. 55(2), pages 807-837, April.
    2. Harjoat S. Bhamra & Raman Uppal, 2014. "Asset Prices with Heterogeneity in Preferences and Beliefs," The Review of Financial Studies, Society for Financial Studies, vol. 27(2), pages 519-580.
    3. Basak, Suleyman & Cuoco, Domenico, 1998. "An Equilibrium Model with Restricted Stock Market Participation," The Review of Financial Studies, Society for Financial Studies, vol. 11(2), pages 309-341.
    4. Jose A. Scheinkman & Wei Xiong, 2003. "Overconfidence and Speculative Bubbles," Journal of Political Economy, University of Chicago Press, vol. 111(6), pages 1183-1219, December.
    5. Andrea Buraschi & Fabio Trojani & Andrea Vedolin, 2014. "When Uncertainty Blows in the Orchard: Comovement and Equilibrium Volatility Risk Premia," Journal of Finance, American Finance Association, vol. 69(1), pages 101-137, February.
    6. Karl B. Diether & Christopher J. Malloy & Anna Scherbina, 2002. "Differences of Opinion and the Cross Section of Stock Returns," Journal of Finance, American Finance Association, vol. 57(5), pages 2113-2141, October.
    7. Wei Xiong & Hongjun Yan, 2010. "Heterogeneous Expectations and Bond Markets," The Review of Financial Studies, Society for Financial Studies, vol. 23(4), pages 1433-1466, April.
    8. Lior Menzly & Tano Santos & Pietro Veronesi, 2004. "Understanding Predictability," Journal of Political Economy, University of Chicago Press, vol. 112(1), pages 1-47, February.
    9. Li, Jinfang, 2017. "Investor sentiment, heterogeneous agents and asset pricing model," The North American Journal of Economics and Finance, Elsevier, vol. 42(C), pages 504-512.
    10. Georgy Chabakauri, 2013. "Dynamic Equilibrium with Two Stocks, Heterogeneous Investors, and Portfolio Constraints," The Review of Financial Studies, Society for Financial Studies, vol. 26(12), pages 3104-3141.
    11. Della Posta, Pompeo, 2018. "A model of currency crises with heterogeneous market beliefs," The North American Journal of Economics and Finance, Elsevier, vol. 45(C), pages 182-195.
    12. Brevik, Frode & d’Addona, Stefano, 2010. "Information Quality and Stock Returns Revisited," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 45(6), pages 1419-1446, December.
    13. Andrea Buraschi & Alexei Jiltsov, 2006. "Model Uncertainty and Option Markets with Heterogeneous Beliefs," Journal of Finance, American Finance Association, vol. 61(6), pages 2841-2897, December.
    14. Branger, Nicole & Schlag, Christian & Wu, Lue, 2011. "Pricing Two Heterogeneous Trees," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 46(5), pages 1437-1462, October.
    15. Glosten, Lawrence R & Jagannathan, Ravi & Runkle, David E, 1993. "On the Relation between the Expected Value and the Volatility of the Nominal Excess Return on Stocks," Journal of Finance, American Finance Association, vol. 48(5), pages 1779-1801, December.
    16. Bernard Dumas & Alexander Kurshev & Raman Uppal, 2009. "Equilibrium Portfolio Strategies in the Presence of Sentiment Risk and Excess Volatility," Journal of Finance, American Finance Association, vol. 64(2), pages 579-629, April.
    17. Darrell Duffie & Jun Pan & Kenneth Singleton, 2000. "Transform Analysis and Asset Pricing for Affine Jump-Diffusions," Econometrica, Econometric Society, vol. 68(6), pages 1343-1376, November.
    18. Snehal Banerjee & Ilan Kremer, 2010. "Disagreement and Learning: Dynamic Patterns of Trade," Journal of Finance, American Finance Association, vol. 65(4), pages 1269-1302, August.
    19. Cox, John C. & Huang, Chi-fu, 1989. "Optimal consumption and portfolio policies when asset prices follow a diffusion process," Journal of Economic Theory, Elsevier, vol. 49(1), pages 33-83, October.
    20. Goetzmann, William N. & Massa, Massimo, 2005. "Dispersion of opinion and stock returns," Journal of Financial Markets, Elsevier, vol. 8(3), pages 324-349, August.
    21. Whitelaw, Robert F, 2000. "Stock Market Risk and Return: An Equilibrium Approach," The Review of Financial Studies, Society for Financial Studies, vol. 13(3), pages 521-547.
    22. Ian Martin, 2013. "The Lucas Orchard," Econometrica, Econometric Society, vol. 81(1), pages 55-111, January.
    23. Li, George, 2005. "Information Quality, Learning, and Stock Market Returns," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 40(3), pages 595-620, September.
    24. Julien Cujean & Michael Hasler, 2017. "Why Does Return Predictability Concentrate in Bad Times?," Journal of Finance, American Finance Association, vol. 72(6), pages 2717-2758, December.
    25. Yu, Jialin, 2011. "Disagreement and return predictability of stock portfolios," Journal of Financial Economics, Elsevier, vol. 99(1), pages 162-183, January.
    26. Basak, Suleyman, 2005. "Asset pricing with heterogeneous beliefs," Journal of Banking & Finance, Elsevier, vol. 29(11), pages 2849-2881, November.
    27. Hengjie Ai, 2010. "Information Quality and Long‐Run Risk: Asset Pricing Implications," Journal of Finance, American Finance Association, vol. 65(4), pages 1333-1367, August.
    28. Alexander David, 2008. "Heterogeneous Beliefs, Speculation, and the Equity Premium," Journal of Finance, American Finance Association, vol. 63(1), pages 41-83, February.
    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. Wang, Hailong & Hu, Duni, 2020. "Disagreement with procyclical beliefs and asset pricing," The North American Journal of Economics and Finance, Elsevier, vol. 51(C).
    2. Adem Atmaz & Suleyman Basak, 2018. "Belief Dispersion in the Stock Market," Journal of Finance, American Finance Association, vol. 73(3), pages 1225-1279, June.
    3. Wang, Hailong & Hu, Duni, 2022. "Heterogenous beliefs with sentiments and asset pricing," The North American Journal of Economics and Finance, Elsevier, vol. 63(C).
    4. Wang, Hailong & Hu, Duni, 2021. "Heterogeneous beliefs with herding behaviors and asset pricing in two goods world," The North American Journal of Economics and Finance, Elsevier, vol. 57(C).
    5. Daniel Andrei & Bruce Carlin & Michael Hasler, 2019. "Asset Pricing with Disagreement and Uncertainty About the Length of Business Cycles," Management Science, INFORMS, vol. 67(6), pages 2900-2923, June.
    6. Wang, Hailong & Hu, Duni, 2024. "Heterogeneous beliefs with information processing capacity constraints and asset pricing in a monetary economy," The North American Journal of Economics and Finance, Elsevier, vol. 72(C).
    7. Ma, Chaoqun & Wang, Hailong & Cheng, Fengchao & Hu, Duni, 2018. "How money illusions and heterogeneous beliefs affect asset prices," The North American Journal of Economics and Finance, Elsevier, vol. 44(C), pages 167-192.
    8. Gao, George P. & Lu, Xiaomeng & Song, Zhaogang & Yan, Hongjun, 2019. "Disagreement beta," Journal of Monetary Economics, Elsevier, vol. 107(C), pages 96-113.
    9. Ma, Chaoqun & Wang, Hailong & Cheng, Fengchao & Hu, Duni, 2017. "Asset pricing and institutional investors with disagreements," Economic Modelling, Elsevier, vol. 64(C), pages 231-248.
    10. Yu, Edison G., 2018. "Dynamic market participation and endogenous information aggregation," Journal of Economic Theory, Elsevier, vol. 175(C), pages 491-517.
    11. Shi, Lei, 2016. "Consumption-based CAPM with belief heterogeneity," Journal of Economic Dynamics and Control, Elsevier, vol. 65(C), pages 30-46.
    12. Hu, Duni & Wang, Hailong, 2024. "Heterogeneous beliefs with preference interdependence and asset pricing," International Review of Economics & Finance, Elsevier, vol. 93(PA), pages 1-37.
    13. Du, Ke & Fu, Yishu & Qin, Zhenjiang & Zhang, Shuoxun, 2020. "Regime shift, speculation, and stock price," Research in International Business and Finance, Elsevier, vol. 52(C).
    14. He, Xue-Zhong & Shi, Lei, 2017. "Index portfolio and welfare analysis under heterogeneous beliefs," Journal of Banking & Finance, Elsevier, vol. 75(C), pages 64-79.
    15. Buss, Adrian & Vilkov, Grigory & Uppal, Raman, 2018. "The Implications of Financial Innovation for Capital Markets and Household Welfare," CEPR Discussion Papers 13137, C.E.P.R. Discussion Papers.
    16. ÅžimÅŸek, Alp, 2021. "The Macroeconomics of Financial Speculation," CEPR Discussion Papers 15733, C.E.P.R. Discussion Papers.
    17. Uppal, Raman & Buss, Adrian & Vilkov, Grigory, 2017. "Financial Innovation and Asset Prices," CEPR Discussion Papers 12416, C.E.P.R. Discussion Papers.
    18. Wei Xiong, 2013. "Bubbles, Crises, and Heterogeneous Beliefs," NBER Working Papers 18905, National Bureau of Economic Research, Inc.
    19. Sheng, Jiliang & Xu, Si & An, Yunbi & Yang, Jun, 2022. "Dynamic asset pricing in delegated investment: An investigation from the perspective of heterogeneous beliefs of institutional and retail investors," Economic Modelling, Elsevier, vol. 107(C).
    20. Hansen, Simon Lysbjerg, 2015. "Cross-sectional asset pricing with heterogeneous preferences and beliefs," Journal of Economic Dynamics and Control, Elsevier, vol. 58(C), pages 125-151.

    More about this item

    Keywords

    Heterogeneous belief; Signal quality; Kalman filter; Asset pricing; Optimal portfolio plan; D51; D53; D91; G11; G12;
    All these keywords.

    JEL classification:

    • D51 - Microeconomics - - General Equilibrium and Disequilibrium - - - Exchange and Production Economies
    • D53 - Microeconomics - - General Equilibrium and Disequilibrium - - - Financial Markets
    • D91 - Microeconomics - - Micro-Based Behavioral Economics - - - Role and Effects of Psychological, Emotional, Social, and Cognitive Factors on Decision Making
    • G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions
    • 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:eee:ecofin:v:51:y:2020:i:c:s1062940818305424. 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: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/inca/620163 .

    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.