IDEAS home Printed from https://ideas.repec.org/p/arx/papers/1206.2662.html
   My bibliography  Save this paper

Alpha Representation For Active Portfolio Management and High Frequency Trading In Seemingly Efficient Markets

Author

Listed:
  • Godfrey Charles-Cadogan

Abstract

We introduce a trade strategy representation theorem for performance measurement and portable alpha in high frequency trading, by embedding a robust trading algorithm that describe portfolio manager market timing behavior, in a canonical multifactor asset pricing model. First, we present a spectral test for market timing based on behavioral transformation of the hedge factors design matrix. Second, we find that the typical trade strategy process is a local martingale with a background driving Brownian bridge that mimics portfolio manager price reversal strategies. Third, we show that equilibrium asset pricing models like the CAPM exists on a set with P-measure zero. So that excess returns, i.e. positive alpha, relative to a benchmark index is robust to no arbitrage pricing in turbulent capital markets. Fourth, the path properties of alpha are such that it is positive between suitably chosen stopping times for trading. Fifth, we demonstrate how, and why, econometric tests of portfolio performance tend to under report positive alpha.

Suggested Citation

  • Godfrey Charles-Cadogan, 2012. "Alpha Representation For Active Portfolio Management and High Frequency Trading In Seemingly Efficient Markets," Papers 1206.2662, arXiv.org.
    • Handle: RePEc:arx:papers:1206.2662
    as

    Download full text from publisher

    File URL: http://arxiv.org/pdf/1206.2662
    File Function: Latest version
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Henriksson, Roy D & Merton, Robert C, 1981. "On Market Timing and Investment Performance. II. Statistical Procedures for Evaluating Forecasting Skills," The Journal of Business, University of Chicago Press, vol. 54(4), pages 513-533, October.
    2. Lars Peter Hansen & José A. Scheinkman, 2009. "Long-Term Risk: An Operator Approach," Econometrica, Econometric Society, vol. 77(1), pages 177-234, January.
    3. Marcin Kacperczyk & Clemens Sialm & Lu Zheng, 2008. "Unobserved Actions of Mutual Funds," The Review of Financial Studies, Society for Financial Studies, vol. 21(6), pages 2379-2416, November.
    4. MacKinlay, A Craig & Pastor, Lubos, 2000. "Asset Pricing Models: Implications for Expected Returns and Portfolio Selection," The Review of Financial Studies, Society for Financial Studies, vol. 13(4), pages 883-916.
    5. Christopher N. Avery & Judith A. Chevalier & Richard J. Zeckhauser, 2016. "The "CAPS" Prediction System and Stock Market Returns," Review of Finance, European Finance Association, vol. 20(4), pages 1363-1381.
    6. Peter C. B. Phillips, 1998. "New Tools for Understanding Spurious Regressions," Econometrica, Econometric Society, vol. 66(6), pages 1299-1326, November.
    7. Fama, Eugene F & French, Kenneth R, 1996. "Multifactor Explanations of Asset Pricing Anomalies," Journal of Finance, American Finance Association, vol. 51(1), pages 55-84, March.
    8. Ľuboš Pástor, 2000. "Portfolio Selection and Asset Pricing Models," Journal of Finance, American Finance Association, vol. 55(1), pages 179-223, February.
    9. Cadogan, Godfrey, 2010. "Canonical Representation Of Option Prices and Greeks with Implications for Market Timing," MPRA Paper 23426, University Library of Munich, Germany.
    10. Kassouf, Sheen T, 1969. "An Econometric Model for Option Price with Implications for Investors' Expectations and Audacity," Econometrica, Econometric Society, vol. 37(4), pages 685-694, October.
    11. Vikas Agarwal, 2004. "Risks and Portfolio Decisions Involving Hedge Funds," The Review of Financial Studies, Society for Financial Studies, vol. 17(1), pages 63-98.
    12. Wayne E. Ferson & Sergei Sarkissian & Timothy T. Simin, 2003. "Spurious Regressions in Financial Economics?," Journal of Finance, American Finance Association, vol. 58(4), pages 1393-1413, August.
    13. Tom Nohel & Z. Jay Wang & Lu Zheng, 2010. "Side-by-Side Management of Hedge Funds and Mutual Funds," The Review of Financial Studies, Society for Financial Studies, vol. 23(6), pages 2342-2373, June.
    14. Harry Mamaysky & Matthew Spiegel & Hong Zhang, 2008. "Estimating the Dynamics of Mutual Fund Alphas and Betas," The Review of Financial Studies, Society for Financial Studies, vol. 21(1), pages 233-264, January.
    15. repec:bla:jfinan:v:58:y:2003:i:4:p:1393-1414 is not listed on IDEAS
    16. Fama, Eugene F, 1972. "Components of Investment Performance," Journal of Finance, American Finance Association, vol. 27(3), pages 551-567, June.
    17. Anat R. Admati, Paul Pfleiderer, 1988. "A Theory of Intraday Patterns: Volume and Price Variability," The Review of Financial Studies, Society for Financial Studies, vol. 1(1), pages 3-40.
    18. Ferson, Wayne E & Schadt, Rudi W, 1996. "Measuring Fund Strategy and Performance in Changing Economic Conditions," Journal of Finance, American Finance Association, vol. 51(2), pages 425-461, June.
    19. Christopherson, Jon A & Ferson, Wayne E & Glassman, Debra A, 1998. "Conditioning Manager Alphas on Economic Information: Another Look at the Persistence of Performance," The Review of Financial Studies, Society for Financial Studies, vol. 11(1), pages 111-142.
    20. Braun, Phillip A & Nelson, Daniel B & Sunier, Alain M, 1995. "Good News, Bad News, Volatility, and Betas," Journal of Finance, American Finance Association, vol. 50(5), pages 1575-1603, December.
    21. 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.
    22. Nicolas P. B. Bollen & Jeffrey A. Busse, 2001. "On the Timing Ability of Mutual Fund Managers," Journal of Finance, American Finance Association, vol. 56(3), pages 1075-1094, June.
    23. Merton, Robert C, 1981. "On Market Timing and Investment Performance. I. An Equilibrium Theory of Value for Market Forecasts," The Journal of Business, University of Chicago Press, vol. 54(3), pages 363-406, July.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. G. Charles-Cadogan, 2012. "Active Portfolio Management, Positive Jensen-Jarrow Alpha, and Zero Sets of CAPM," Papers 1206.4562, arXiv.org.

    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. G. Charles-Cadogan, 2012. "Active Portfolio Management, Positive Jensen-Jarrow Alpha, and Zero Sets of CAPM," Papers 1206.4562, arXiv.org.
    2. Ferson, Wayne E., 2013. "Investment Performance: A Review and Synthesis," Handbook of the Economics of Finance, in: G.M. Constantinides & M. Harris & R. M. Stulz (ed.), Handbook of the Economics of Finance, volume 2, chapter 0, pages 969-1010, Elsevier.
    3. Jung‐Soon Shin & Minki Kim & Dongjun Oh & Tong Suk Kim, 2019. "Do hedge funds time market tail risk? Evidence from option‐implied tail risk," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 39(2), pages 205-237, February.
    4. Andrew J. Patton & Tarun Ramadorai, 2013. "On the High-Frequency Dynamics of Hedge Fund Risk Exposures," Journal of Finance, American Finance Association, vol. 68(2), pages 597-635, April.
    5. Elton, Edwin J. & Gruber, Martin J., 2013. "Mutual Funds," Handbook of the Economics of Finance, in: G.M. Constantinides & M. Harris & R. M. Stulz (ed.), Handbook of the Economics of Finance, volume 2, chapter 0, pages 1011-1061, Elsevier.
    6. Patton, Andrew, 2010. "On the Dynamics of Hedge Fund Risk Exposures," CEPR Discussion Papers 7780, C.E.P.R. Discussion Papers.
    7. Nicolas P.B. Bollen & Robert E. Whaley, 2009. "Hedge Fund Risk Dynamics: Implications for Performance Appraisal," Journal of Finance, American Finance Association, vol. 64(2), pages 985-1035, April.
    8. Pankaj K. Agarwal & H. K. Pradhan, 2018. "Mutual Fund Performance Using Unconditional Multifactor Models: Evidence from India," Journal of Emerging Market Finance, Institute for Financial Management and Research, vol. 17(2_suppl), pages 157-184, August.
    9. Massimiliano Caporin & Grégory M. Jannin & Francesco Lisi & Bertrand B. Maillet, 2014. "A Survey On The Four Families Of Performance Measures," Journal of Economic Surveys, Wiley Blackwell, vol. 28(5), pages 917-942, December.
    10. Adam Zaremba & Jacob Koby Shemer, 2018. "Price-Based Investment Strategies," Springer Books, Springer, number 978-3-319-91530-2, December.
    11. Swinkels, L.A.P. & van der Sluis, P.J. & Verbeek, M.J.C.M., 2003. "Market timing: A decomposition of mutual fund returns," ERIM Report Series Research in Management ERS-2003-074-F&A, Erasmus Research Institute of Management (ERIM), ERIM is the joint research institute of the Rotterdam School of Management, Erasmus University and the Erasmus School of Economics (ESE) at Erasmus University Rotterdam.
    12. Wolfgang Bessler & Thomas Conlon & Diego Víctor de Mingo‐López & Juan Carlos Matallín‐Sáez, 2022. "Mutual fund performance and changes in factor exposure," Journal of Financial Research, Southern Finance Association;Southwestern Finance Association, vol. 45(1), pages 17-52, March.
    13. Ekholm, Anders G., 2012. "Portfolio returns and manager activity: How to decompose tracking error into security selection and market timing," Journal of Empirical Finance, Elsevier, vol. 19(3), pages 349-358.
    14. Yong Chen & Wayne Ferson & Helen Peters, 2009. "Measuring the Timing Ability and Performance of Bond Mutual Funds," NBER Working Papers 15318, National Bureau of Economic Research, Inc.
    15. Gallefoss, Kristoffer & Hansen, Helge Hoff & Haukaas, Eirik Solli & Molnár, Peter, 2015. "What daily data can tell us about mutual funds: Evidence from Norway," Journal of Banking & Finance, Elsevier, vol. 55(C), pages 117-129.
    16. Peter Christoffersen & Kris Jacobs & Gregory Vainberg, 2007. "Forward-Looking Betas," CREATES Research Papers 2007-39, Department of Economics and Business Economics, Aarhus University.
    17. Gert Elaut & Michael Frömmel & Alexander Mende, 2017. "Duration Dependence, Behavioral Restrictions, and the Market Timing Ability of Commodity Trading Advisors," International Review of Finance, International Review of Finance Ltd., vol. 17(3), pages 427-450, September.
    18. 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.
    19. Gianni Amisano & Roberto Savona, 2007. "Imperfect Predictability and Mutual Fund Dynamics: How Managers Use Predictors in Changing Systematic Risk," Working Papers 0706, University of Brescia, Department of Economics.
    20. Ferson, Wayne E. & Sarkissian, Sergei & Simin, Timothy, 2008. "Asset Pricing Models with Conditional Betas and Alphas: The Effects of Data Snooping and Spurious Regression," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 43(2), pages 331-353, June.

    More about this item

    NEP fields

    This paper has been announced in the following NEP Reports:

    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:arx:papers:1206.2662. 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: arXiv administrators (email available below). General contact details of provider: http://arxiv.org/ .

    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.