IDEAS home Printed from https://ideas.repec.org/a/rjr/romjef/vy2012i4p104-116.html
   My bibliography  Save this article

An Analytic Derivation of the Efficient Market Portfolio

Author

Listed:
  • Zion Guo

    (Department of Business Education, College of Technology, National Changhua University of Education, 500, Changhua, Taiwan, R.O.C.)

  • Hsin-Yi Huang

    (C., Tel.: 886-4-7232105 ext.7344; Fax: 886-4-7211290, E-mail: zionguo@cc.ncue.edu.tw.)

Abstract

A market portfolio plays an important role in many financial theories and models. It is at the heart of the capital asset pricing model and other multivariate models. Because of the market portfolio cannot be observed directly, proxy portfolios must be used to conduct empirical studies. Unfortunately, many studies found these proxies to be inefficient and even removed from the efficient frontier. According to two-fund separation theorem, we take two steps to discover the efficient market portfolio. Our thinking is straightforward and proves that our market portfolio is not only an efficient portfolio but also is situated on the capital market line. Many researches have shown that the market portfolio is extremely sensitive to performance measurements. Hence, our findings may significantly influence financial research.

Suggested Citation

  • Zion Guo & Hsin-Yi Huang, 2012. "An Analytic Derivation of the Efficient Market Portfolio," Journal for Economic Forecasting, Institute for Economic Forecasting, vol. 0(4), pages 104-116, December.
  • Handle: RePEc:rjr:romjef:v::y:2012:i:4:p:104-116
    as

    Download full text from publisher

    File URL: http://www.ipe.ro/rjef/rjef4_12/rjef4_2012p104-116.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Soosung Hwang & Stephen Satchell, 2002. "Calculating the misspecification in beta from using a proxy for the market portfolio," Applied Financial Economics, Taylor & Francis Journals, vol. 12(11), pages 771-781.
    2. Ravi Jagannathan & Tongshu Ma, 2003. "Risk Reduction in Large Portfolios: Why Imposing the Wrong Constraints Helps," Journal of Finance, American Finance Association, vol. 58(4), pages 1651-1683, August.
    3. Shanken, Jay, 1985. "Multivariate tests of the zero-beta CAPM," Journal of Financial Economics, Elsevier, vol. 14(3), pages 327-348, September.
    4. Merton, Robert C., 1971. "Optimum consumption and portfolio rules in a continuous-time model," Journal of Economic Theory, Elsevier, vol. 3(4), pages 373-413, December.
    5. Roll, Richard, 1978. "Ambiguity when Performance is Measured by the Securities Market Line," Journal of Finance, American Finance Association, vol. 33(4), pages 1051-1069, September.
    6. Jobson, J. D. & Korkie, Bob, 1982. "Potential performance and tests of portfolio efficiency," Journal of Financial Economics, Elsevier, vol. 10(4), pages 433-466, December.
    7. Breeden, Douglas T., 1979. "An intertemporal asset pricing model with stochastic consumption and investment opportunities," Journal of Financial Economics, Elsevier, vol. 7(3), pages 265-296, September.
    8. Green, Richard C & Hollifield, Burton, 1992. "When Will Mean-Variance Efficient Portfolios Be Well Diversified?," Journal of Finance, American Finance Association, vol. 47(5), pages 1785-1809, December.
    9. Dybvig, Philip H & Ross, Stephen A, 1985. "Differential Information and Performance Measurement Using a Security Market Line," Journal of Finance, American Finance Association, vol. 40(2), pages 383-399, June.
    10. Levy, Haim, 1983. "The Capital Asset Pricing Model: Theory and Empiricism," Economic Journal, Royal Economic Society, vol. 93(369), pages 145-165, March.
    11. Gibbons, Michael R & Ross, Stephen A & Shanken, Jay, 1989. "A Test of the Efficiency of a Given Portfolio," Econometrica, Econometric Society, vol. 57(5), pages 1121-1152, September.
    12. Green, Richard C, 1986. "Benchmark Portfolio Inefficiency and Deviations from the Security Market Line," Journal of Finance, American Finance Association, vol. 41(2), pages 295-312, June.
    13. repec:bla:jfinan:v:58:y:2003:i:4:p:1651-1684 is not listed on IDEAS
    14. MacKinlay, A Craig & Richardson, Matthew P, 1991. "Using Generalized Method of Moments to Test Mean-Variance Efficiency," Journal of Finance, American Finance Association, vol. 46(2), pages 511-527, June.
    15. Dybvig, Philip H & Ross, Stephen A, 1985. "The Analytics of Performance Measurement Using a Security Market Line," Journal of Finance, American Finance Association, vol. 40(2), pages 401-416, June.
    16. 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.
    17. Kandel, Shmuel & Stambaugh, Robert F., 1987. "On correlations and inferences about mean-variance efficiency," Journal of Financial Economics, Elsevier, vol. 18(1), pages 61-90, March.
    18. Lucas, Robert E, Jr, 1978. "Asset Prices in an Exchange Economy," Econometrica, Econometric Society, vol. 46(6), pages 1429-1445, November.
    19. Merton, Robert C, 1969. "Lifetime Portfolio Selection under Uncertainty: The Continuous-Time Case," The Review of Economics and Statistics, MIT Press, vol. 51(3), pages 247-257, August.
    20. Cass, David & Stiglitz, Joseph E., 1970. "The structure of investor preferences and asset returns, and separability in portfolio allocation: A contribution to the pure theory of mutual funds," Journal of Economic Theory, Elsevier, vol. 2(2), pages 122-160, June.
    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. Diacogiannis, George & Ioannidis, Christos, 2022. "Linear beta pricing with efficient/inefficient benchmarks and short-selling restrictions," International Review of Financial Analysis, Elsevier, vol. 81(C).
    2. Han, Xing & Li, Kai & Li, Youwei, 2020. "Investor overconfidence and the security market line: New evidence from China," Journal of Economic Dynamics and Control, Elsevier, vol. 117(C).
    3. Gourieroux, C. & Monfort, A., 2005. "The econometrics of efficient portfolios," Journal of Empirical Finance, Elsevier, vol. 12(1), pages 1-41, January.
    4. MacKinlay, A. Craig, 1995. "Multifactor models do not explain deviations from the CAPM," Journal of Financial Economics, Elsevier, vol. 38(1), pages 3-28, May.
    5. Wayne E. Ferson & Jerchern Lin, 2013. "Alpha and Performance Measurement: The Effects of Investor Disagreement and Heterogeneity," NBER Working Papers 19349, National Bureau of Economic Research, Inc.
    6. Harvey, Campbell R., 2001. "The specification of conditional expectations," Journal of Empirical Finance, Elsevier, vol. 8(5), pages 573-637, December.
    7. Shanken, Jay & Zhou, Guofu, 2007. "Estimating and testing beta pricing models: Alternative methods and their performance in simulations," Journal of Financial Economics, Elsevier, vol. 84(1), pages 40-86, April.
    8. Marie Brière & Bastien Drut & Valérie Mignon & Kim Oosterlinck & Ariane Szafarz, 2013. "Is the Market Portfolio Efficient? A New Test of Mean-Variance Efficiency when all Assets are Risky," Finance, Presses universitaires de Grenoble, vol. 34(1), pages 7-41.
    9. Merton, Robert, 1990. "Capital market theory and the pricing of financial securities," Handbook of Monetary Economics, in: B. M. Friedman & F. H. Hahn (ed.), Handbook of Monetary Economics, edition 1, volume 1, chapter 11, pages 497-581, Elsevier.
    10. Liu, Ludan, 2008. "It takes a model to beat a model: Volatility bounds," Journal of Empirical Finance, Elsevier, vol. 15(1), pages 80-110, January.
    11. G. P. Diacogiannis, 1999. "A three-dimensional risk-return relationship based upon the inefficiency of a portfolio: derivation and implications," The European Journal of Finance, Taylor & Francis Journals, vol. 5(3), pages 225-235.
    12. Wayne E. Ferson, 2013. "Ruminations on Investment Performance Measurement," European Financial Management, European Financial Management Association, vol. 19(1), pages 4-13, January.
    13. Marie Brière & Bastien Drut & Valérie Mignon & Kim Oosterlinck & Ariane Szafarz, 2011. "Is the Market Portfolio Efficient? A New Test to Revisit the Roll (1977) versus Levy and Roll (2010) Controversy," Working Papers hal-04140988, HAL.
    14. repec:dau:papers:123456789/9297 is not listed on IDEAS
    15. Heber Farnsworth & Wayne E. Ferson & David Jackson & Steven Todd, 2002. "Performance Evaluation with Stochastic Discount Factors," NBER Working Papers 8791, National Bureau of Economic Research, Inc.
    16. Clark, Ephraim & Kassimatis, Konstantinos, 2011. "An alternative measure of the "world market portfolio": Determinants, efficiency, and information content," Journal of International Money and Finance, Elsevier, vol. 30(5), pages 724-748, September.
    17. Wayne E. Ferson & Andrew F. Siegel, 2006. "Testing Portfolio Efficiency with Conditioning Information," NBER Working Papers 12098, National Bureau of Economic Research, Inc.
    18. Gregory Connor & Lisa R. Goldberg & Robert A. Korajczyk, 2010. "Portfolio Risk Analysis," Economics Books, Princeton University Press, edition 1, number 9224.
    19. Gregory Phelan & Alexis Akira Toda, 2015. "On the Robustness of Theoretical Asset Pricing Models," Department of Economics Working Papers 2015-10, Department of Economics, Williams College.
    20. Levy, Moshe & Levy, Haim, 2015. "Keeping up with the Joneses and optimal diversification," Journal of Banking & Finance, Elsevier, vol. 58(C), pages 29-38.
    21. Shanken, Jay & Weinstein, Mark I., 2006. "Economic forces and the stock market revisited," Journal of Empirical Finance, Elsevier, vol. 13(2), pages 129-144, March.

    More about this item

    Keywords

    asset allocation; two-fund separation; capital market line; HJB equation; dynamic programming setting;
    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

    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:rjr:romjef:v::y:2012:i:4:p:104-116. 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: Corina Saman (email available below). General contact details of provider: https://edirc.repec.org/data/ipacaro.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.