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The political reception of innovations

Author

Listed:
  • Benoit Carmichael
  • Gilles Boevi Koumou
  • Kevin Moran

Abstract

We use an equivalent form of Markowitz's mean-variance utility function, based on Rao's Quadratic Entropy (RQE), to enrich the standard capital asset pricing model (CAPM), both in the presence and in the absence of a risk-free asset. The resulting equilibrium, which we denote RQE-CAPM, offers important new insights about the pricing of risk. Notably, it reveals that the reason for which the standard CAPM does not price idiosyncratic risk is not only because the market portfolio is law of large numbers diversified but also because the model implicitly assumes agents' total risk aversion and their correlation diversification risk preference balance each other exactly. We then demonstrate that idiosyncratic risk is priced in a general RQE-CAPM where agents' total risk aversion and their correlation diversification risk preference coefficients are not necessary equal. Our general RQE-CAPM therefore offers a unifying way of thinking about the pricing of idiosyncratic risk, including cases where such risk is negatively priced, and is relevant for the literature assessing the idiosyncratic risk puzzle. It also provides a natural theoretical underpinning for the empirical tests of the CAPM or the pricing of idiosyncratic risk performed in some existence studies.

Suggested Citation

  • Benoit Carmichael & Gilles Boevi Koumou & Kevin Moran, 2021. "The political reception of innovations," Cahiers de recherche 2107, Centre de recherche sur les risques, les enjeux économiques, et les politiques publiques.
  • Handle: RePEc:lvl:crrecr:2107
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    as
    1. Tinic, Seha M. & West, Richard R., 1984. "Risk and return : Janaury vs. the rest of the year," Journal of Financial Economics, Elsevier, vol. 13(4), pages 561-574, December.
    2. Rajnish Mehra & Sunil Wahal & Daruo Xie, 2021. "Is idiosyncratic risk conditionally priced?," Quantitative Economics, Econometric Society, vol. 12(2), pages 625-646, May.
    3. Jagannathan, Ravi & Wang, Zhenyu, 1996. "The Conditional CAPM and the Cross-Section of Expected Returns," Journal of Finance, American Finance Association, vol. 51(1), pages 3-53, March.
    4. Nayak, Tapan K & Gastwirth, Joseph L, 1989. "The Use of Diversity Analysis to Assess the Relative Influence of Factors Affecting the Income Distribution," Journal of Business & Economic Statistics, American Statistical Association, vol. 7(4), pages 453-460, October.
    5. Milo Bianchi, 2018. "Financial Literacy and Portfolio Dynamics," Journal of Finance, American Finance Association, vol. 73(2), pages 831-859, April.
    6. Han, Bing & Kumar, Alok, 2013. "Speculative Retail Trading and Asset Prices," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 48(2), pages 377-404, April.
    7. Michael C. Jensen, 1972. "Capital Markets: Theory and Evidence," Bell Journal of Economics, The RAND Corporation, vol. 3(2), pages 357-398, Autumn.
    8. Benoît Carmichael & Gilles Boevi Koumou & Kevin Moran, 2023. "Unifying Portfolio Diversification Measures Using Rao’s Quadratic Entropy," Journal of Quantitative Economics, Springer;The Indian Econometric Society (TIES), vol. 21(4), pages 769-802, December.
    9. Harris, Richard G., 1980. "A General Equilibrium Analysis of the Capital Asset Pricing Model," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 15(1), pages 99-122, March.
    10. Bali, Turan G. & Cakici, Nusret & Whitelaw, Robert F., 2011. "Maxing out: Stocks as lotteries and the cross-section of expected returns," Journal of Financial Economics, Elsevier, vol. 99(2), pages 427-446, February.
    11. Roll, Richard, 1977. "A critique of the asset pricing theory's tests Part I: On past and potential testability of the theory," Journal of Financial Economics, Elsevier, vol. 4(2), pages 129-176, March.
    12. J. Tobin, 1958. "Liquidity Preference as Behavior Towards Risk," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 25(2), pages 65-86.
    13. Nektarios Aslanidis & Charlotte Christiansen & Neophytos Lambertides & Christos S. Savva, 2019. "Idiosyncratic volatility puzzle: influence of macro-finance factors," Review of Quantitative Finance and Accounting, Springer, vol. 52(2), pages 381-401, February.
    14. William N. Goetzmann & Alok Kumar, 2008. "Equity Portfolio Diversification," Review of Finance, European Finance Association, vol. 12(3), pages 433-463.
    15. Nicholas Barberis & Ming Huang, 2008. "Stocks as Lotteries: The Implications of Probability Weighting for Security Prices," American Economic Review, American Economic Association, vol. 98(5), pages 2066-2100, December.
    16. Bali, Turan G. & Cakici, Nusret, 2008. "Idiosyncratic Volatility and the Cross Section of Expected Returns," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 43(1), pages 29-58, March.
    17. Blume, Marshall E & Friend, Irwin, 1973. "A New Look at the Capital Asset Pricing Model," Journal of Finance, American Finance Association, vol. 28(1), pages 19-33, March.
    18. Lehmann, Bruce N., 1990. "Residual risk revisited," Journal of Econometrics, Elsevier, vol. 45(1-2), pages 71-97.
    19. Egginton, Jared & Hur, Jungshik, 2018. "The robust “maximum daily return effect as demand for lottery” and “idiosyncratic volatility puzzle”," Journal of Empirical Finance, Elsevier, vol. 47(C), pages 229-245.
    20. Jiang, George J. & Xu, Danielle & Yao, Tong, 2009. "The Information Content of Idiosyncratic Volatility," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 44(1), pages 1-28, February.
    21. Friend, Irwin & Blume, Marshall E, 1970. "Measurement of Portfolio Performance Under Uncertainty," American Economic Review, American Economic Association, vol. 60(4), pages 561-575, September.
    22. Davit Khachatryan & Brigitte Muehlmann, 2019. "Measuring technological breadth and depth of patent documents using Rao’s Quadratic Entropy," Journal of Applied Statistics, Taylor & Francis Journals, vol. 46(15), pages 2819-2844, November.
    23. Brian Boyer & Todd Mitton & Keith Vorkink, 2010. "Expected Idiosyncratic Skewness," The Review of Financial Studies, Society for Financial Studies, vol. 23(1), pages 169-202, January.
    24. Friend, Irwin & Westerfield, Randolph, 1981. "Risk and capital asset prices," Journal of Banking & Finance, Elsevier, vol. 5(3), pages 291-315, September.
    25. Ajay Bhootra & Jungshik Hur, 2015. "High Idiosyncratic Volatility and Low Returns: A Prospect Theory Explanation," Financial Management, Financial Management Association International, vol. 44(2), pages 295-322, June.
    26. repec:bla:jfinan:v:58:y:2003:i:3:p:975-1008 is not listed on IDEAS
    27. repec:bla:jfinan:v:44:y:1989:i:2:p:479-86 is not listed on IDEAS
    28. Wei Huang & Qianqiu Liu & S. Ghon Rhee & Liang Zhang, 2010. "Return Reversals, Idiosyncratic Risk, and Expected Returns," The Review of Financial Studies, Society for Financial Studies, vol. 23(1), pages 147-168, January.
    29. 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.
    30. Zhanhui Chen & Ralitsa Petkova, 2012. "Does Idiosyncratic Volatility Proxy for Risk Exposure?," The Review of Financial Studies, Society for Financial Studies, vol. 25(9), pages 2745-2787.
    31. 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.
    32. Carroll, Carolyn & Wei, K C John, 1988. "Risk, Return, and Equilibrium: An Extension," The Journal of Business, University of Chicago Press, vol. 61(4), pages 485-499, October.
    33. Robert F. Stambaugh & Jianfeng Yu & Yu Yuan, 2015. "Arbitrage Asymmetry and the Idiosyncratic Volatility Puzzle," Journal of Finance, American Finance Association, vol. 70(5), pages 1903-1948, October.
    34. Cao, Jie & Han, Bing, 2016. "Idiosyncratic risk, costly arbitrage, and the cross-section of stock returns," Journal of Banking & Finance, Elsevier, vol. 73(C), pages 1-15.
    35. Scott Willenbrock, 2011. "Diversification Return, Portfolio Rebalancing, and the Commodity Return Puzzle," Papers 1109.1256, arXiv.org.
    36. Stirling, Andy, 2010. "Multicriteria diversity analysis: A novel heuristic framework for appraising energy portfolios," Energy Policy, Elsevier, vol. 38(4), pages 1622-1634, April.
    37. Todd Mitton & Keith Vorkink, 2007. "Equilibrium Underdiversification and the Preference for Skewness," The Review of Financial Studies, Society for Financial Studies, vol. 20(4), pages 1255-1288.
    38. Yueqin Zhao & Dayanand N. Naik, 2012. "Hypothesis testing with Rao's quadratic entropy and its application to Dinosaur biodiversity," Journal of Applied Statistics, Taylor & Francis Journals, vol. 39(8), pages 1667-1680, January.
    39. Fama, Eugene F & MacBeth, James D, 1973. "Risk, Return, and Equilibrium: Empirical Tests," Journal of Political Economy, University of Chicago Press, vol. 81(3), pages 607-636, May-June.
    40. Hou, Kewei & Loh, Roger K., 2016. "Have we solved the idiosyncratic volatility puzzle?," Journal of Financial Economics, Elsevier, vol. 121(1), pages 167-194.
    41. repec:bla:jfinan:v:59:y:2004:i:5:p:1957-1978 is not listed on IDEAS
    42. Gu, Ming & Kang, Wenjin & Xu, Bu, 2018. "Limits of arbitrage and idiosyncratic volatility: Evidence from China stock market," Journal of Banking & Finance, Elsevier, vol. 86(C), pages 240-258.
    43. Fu, Fangjian, 2009. "Idiosyncratic risk and the cross-section of expected stock returns," Journal of Financial Economics, Elsevier, vol. 91(1), pages 24-37, January.
    44. Yufeng Han & David Lesmond, 2011. "Liquidity Biases and the Pricing of Cross-sectional Idiosyncratic Volatility," The Review of Financial Studies, Society for Financial Studies, vol. 24(5), pages 1590-1629.
    45. Kraus, Alan & Litzenberger, Robert H, 1976. "Skewness Preference and the Valuation of Risk Assets," Journal of Finance, American Finance Association, vol. 31(4), pages 1085-1100, September.
    46. Guo, Hui & Savickas, Robert, 2010. "Relation between time-series and cross-sectional effects of idiosyncratic variance on stock returns," Journal of Banking & Finance, Elsevier, vol. 34(7), pages 1637-1649, July.
    47. Sergio Ortobelli Lozza & Wing-Keung Wong & Frank J. Fabozzi & Martin Egozcue, 2018. "Diversification versus optimality: is there really a diversification puzzle?," Applied Economics, Taylor & Francis Journals, vol. 50(43), pages 4671-4693, September.
    48. Shi, Yanlin & Liu, Wai-Man & Ho, Kin-Yip, 2016. "Public news arrival and the idiosyncratic volatility puzzle," Journal of Empirical Finance, Elsevier, vol. 37(C), pages 159-172.
    49. Levy, Haim, 1978. "Equilibrium in an Imperfect Market: A Constraint on the Number of Securities in the Portfolio," American Economic Review, American Economic Association, vol. 68(4), pages 643-658, September.
    50. Black, Fischer, 1972. "Capital Market Equilibrium with Restricted Borrowing," The Journal of Business, University of Chicago Press, vol. 45(3), pages 444-455, July.
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    More about this item

    Keywords

    : Rao's Quadratic Entropy; Mean-Variance Model; Capital Asset Pricing Model; Idiosyncratic Risk; Correlation Diversification.;
    All these keywords.

    JEL classification:

    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty
    • G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions
    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates

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