IDEAS home Printed from https://ideas.repec.org/a/gam/jjrfmx/v15y2022i9p412-d918493.html
   My bibliography  Save this article

Fractile Graphical Analysis in Finance: A New Perspective with Applications

Author

Listed:
  • Anil K. Bera

    (Department of Economics, University of Illinois at Urbana-Champaign, 225E David Kinley Hall, 1407 W. Gregory Dr., Urbana, IL 61801, USA)

  • Aurobindo Ghosh

    (Lee Kong Chian School of Business, Singapore Management University, 50 Stamford Road, #04-01, Singapore 178899, Singapore)

Abstract

Fractile Graphical Analysis (FGA) was proposed by Prasanta Chandra Mahalanobis in 1961 as a method for comparing two distributions at two different points (of time or space) controlling for the rank of a covariate through fractile groups. We use bootstrap techniques to formalize the heuristic method used by Mahalanobis for approximating the standard error of the dependent variable using fractile graphs from two independently selected “interpenetrating network of subsamples.” We highlight the potential and revisit this underutilized technique of FGA with a historical perspective. We explore a new non-parametric regression method called Fractile Regression where we condition on the ranks of the covariate and compare it with existing regression techniques. We apply this method to compare mutual fund inflow distributions after conditioning on ranks or fractiles of pre-tax and post-tax returns and compare distributions of private and public equity returns after controlling for fractiles of assets under management size using the two sample smooth test.

Suggested Citation

  • Anil K. Bera & Aurobindo Ghosh, 2022. "Fractile Graphical Analysis in Finance: A New Perspective with Applications," JRFM, MDPI, vol. 15(9), pages 1-20, September.
    • Handle: RePEc:gam:jjrfmx:v:15:y:2022:i:9:p:412-:d:918493
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/1911-8074/15/9/412/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/1911-8074/15/9/412/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Steven N. Kaplan & Antoinette Schoar, 2005. "Private Equity Performance: Returns, Persistence, and Capital Flows," Journal of Finance, American Finance Association, vol. 60(4), pages 1791-1823, August.
    2. Chevalier, Judith & Ellison, Glenn, 1997. "Risk Taking by Mutual Funds as a Response to Incentives," Journal of Political Economy, University of Chicago Press, vol. 105(6), pages 1167-1200, December.
    3. Bergstresser, Daniel & Poterba, James, 2002. "Do after-tax returns affect mutual fund inflows?," Journal of Financial Economics, Elsevier, vol. 63(3), pages 381-414, March.
    4. Gompers, Paul & Lerner, Josh, 2000. "Money chasing deals? The impact of fund inflows on private equity valuation," Journal of Financial Economics, Elsevier, vol. 55(2), pages 281-325, February.
    5. Bera, Anil K. & Ghosh, Aurobindo & Xiao, Zhijie, 2013. "A Smooth Test For The Equality Of Distributions," Econometric Theory, Cambridge University Press, vol. 29(2), pages 419-446, April.
    6. Tobias J. Moskowitz & Annette Vissing-Jørgensen, 2002. "The Returns to Entrepreneurial Investment: A Private Equity Premium Puzzle?," American Economic Review, American Economic Association, vol. 92(4), pages 745-778, September.
    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. Rin, Marco Da & Hellmann, Thomas & Puri, Manju, 2013. "A Survey of Venture Capital Research," 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 573-648, Elsevier.
    2. Rin, Marco Da & Hellmann, Thomas & Puri, Manju, 2013. "A Survey of Venture Capital Research," 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 573-648, Elsevier.
    3. Stefan Ruenzi, 2005. "Mutual Fund Growth in Standard and Specialist Market Segments," Financial Markets and Portfolio Management, Springer;Swiss Society for Financial Market Research, vol. 19(2), pages 153-167, August.
    4. Fang, Lily & Ivashina, Victoria & Lerner, Josh, 2015. "The disintermediation of financial markets: Direct investing in private equity," Journal of Financial Economics, Elsevier, vol. 116(1), pages 160-178.
    5. Alexander Ljungqvist & Matthew Richardson, 2003. "The cash flow, return and risk characteristics of private equity," NBER Working Papers 9454, National Bureau of Economic Research, Inc.
    6. Alperovych, Yan & Hübner, Georges, 2011. "Explaining returns on venture capital backed companies: Evidence from Belgium," Research in International Business and Finance, Elsevier, vol. 25(3), pages 277-295, September.
    7. Milosevic, Miona, 2018. "Skills or networks? Success and fundraising determinants in a low performing venture capital market," Research Policy, Elsevier, vol. 47(1), pages 49-60.
    8. Douglas Cumming & Satish Kumar & Weng Marc Lim & Nitesh Pandey, 2023. "Mapping the venture capital and private equity research: a bibliometric review and future research agenda," Small Business Economics, Springer, vol. 61(1), pages 173-221, June.
    9. Singal, Vijay & Xu, Zhaojin, 2011. "Selling winners, holding losers: Effect on fund flows and survival of disposition-prone mutual funds," Journal of Banking & Finance, Elsevier, vol. 35(10), pages 2704-2718, October.
    10. Carolin Bock & Maximilian Schmidt, 2015. "Should I stay, or should I go? – How fund dynamics influence venture capital exit decisions," Review of Financial Economics, John Wiley & Sons, vol. 27(1), pages 68-82, November.
    11. Nanda, Ramana & Samila, Sampsa & Sorenson, Olav, 2020. "The persistent effect of initial success: Evidence from venture capital," Journal of Financial Economics, Elsevier, vol. 137(1), pages 231-248.
    12. Nanda, Vikram K. & Wang, Z. Jay & Zheng, Lu, 2009. "The ABCs of mutual funds: On the introduction of multiple share classes," Journal of Financial Intermediation, Elsevier, vol. 18(3), pages 329-361, July.
    13. Agarwal, Vikas & Barber, Brad M. & Cheng, Si & Hameed, Allaudeen & Shanker, Harshini & Yasuda, Ayako, 2023. "Do investors overvalue startups? Evidence from the junior stakes of mutual funds," CFR Working Papers 23-04, University of Cologne, Centre for Financial Research (CFR).
    14. Yuejia Zhang, 2018. "Gain or pain? New evidence on mixed syndication between governmental and private venture capital firms in China," Small Business Economics, Springer, vol. 51(4), pages 995-1031, December.
    15. Choi, James J. & Laibson, David & Metrick, Andrew, 2002. "How does the Internet affect trading? Evidence from investor behavior in 401(k) plans," Journal of Financial Economics, Elsevier, vol. 64(3), pages 397-421, June.
    16. Ivkovic, Zoran & Weisbenner, Scott, 2009. "Individual investor mutual fund flows," Journal of Financial Economics, Elsevier, vol. 92(2), pages 223-237, May.
    17. Krohmer, Philipp & Lauterbach, Rainer & Calanog, Victor, 2009. "The bright and dark side of staging: Investment performance and the varying motivations of private equity firms," Journal of Banking & Finance, Elsevier, vol. 33(9), pages 1597-1609, September.
    18. Dirk Bergemann & Ulrich Hege & Liang Peng, 2008. "Venture Capital and Sequential Investments," Cowles Foundation Discussion Papers 1682R2, Cowles Foundation for Research in Economics, Yale University, revised Oct 2009.
    19. Andrew Metrick & Ayako Yasuda, 2011. "Venture Capital and Other Private Equity: a Survey," European Financial Management, European Financial Management Association, vol. 17(4), pages 619-654, September.
    20. Jason P. Berkowitz & Patrick J. Schorno & Dmitry A. Shapiro, 2017. "Characteristics of mutual funds with extreme performance," Review of Financial Economics, John Wiley & Sons, vol. 34(1), pages 50-60, September.

    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:gam:jjrfmx:v:15:y:2022:i:9:p:412-:d:918493. 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: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .

    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.