IDEAS home Printed from https://ideas.repec.org/p/drm/wpaper/2022-23.html
   My bibliography  Save this paper

Optimizing portfolios in the illiquid, unlisted market of SME crowdlending

Author

Listed:
  • Bastien Lextrait

Abstract

Portfolio construction for SME crowdloans is challenging. This market is illiquid, unlisted and with scarce historical data of asset development. Consequently, traditional portfolio optimization techniques cannot be applied as is since risks can only be assessed individually and covariance matrices are not available. We propose a new portfolio optimization framework based on estimated risk clustering rather than asset variance-covariance matrix. We first establish risk profiles for each company through SHAP-decomposing its estimated risk. We use correlation-like metrics to compare risk profiles to one another and group similar risk profiles together using hierarchical clustering. We then apply quadratic optimization on the generated groups to minimize risk variance. We simulate investments using real data to quantify our strategy’s return, based on the SMEs market share neglected by banks. Our method overperforms traditional mean-variance optimization adapted at best on our sample, as well as 1/N naive investment strategy which has regularly proven its efficiency. Our method rewards any risk-averse investor profile with higher returns.

Suggested Citation

  • Bastien Lextrait, 2022. "Optimizing portfolios in the illiquid, unlisted market of SME crowdlending," EconomiX Working Papers 2022-23, University of Paris Nanterre, EconomiX.
  • Handle: RePEc:drm:wpaper:2022-23
    as

    Download full text from publisher

    File URL: https://economix.fr/pdf/dt/2022/WP_EcoX_2022-23.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Y. Malevergne & D. Sornette, 2003. "Testing the Gaussian copula hypothesis for financial assets dependences," Quantitative Finance, Taylor & Francis Journals, vol. 3(4), pages 231-250.
    2. Beck, Thorsten & Demirguc-Kunt, Asli, 2006. "Small and medium-size enterprises: Access to finance as a growth constraint," Journal of Banking & Finance, Elsevier, vol. 30(11), pages 2931-2943, November.
    3. Nicholas Moehle & Stephen Boyd & Andrew Ang, 2021. "Portfolio Performance Attribution via Shapley Value," Papers 2102.05799, arXiv.org.
    4. Merton, Robert C, 1973. "An Intertemporal Capital Asset Pricing Model," Econometrica, Econometric Society, vol. 41(5), pages 867-887, September.
    5. Guo, Yanhong & Zhou, Wenjun & Luo, Chunyu & Liu, Chuanren & Xiong, Hui, 2016. "Instance-based credit risk assessment for investment decisions in P2P lending," European Journal of Operational Research, Elsevier, vol. 249(2), pages 417-426.
    6. William F. Sharpe, 1963. "A Simplified Model for Portfolio Analysis," Management Science, INFORMS, vol. 9(2), pages 277-293, January.
    7. N. Berger, Allen & F. Udell, Gregory, 1998. "The economics of small business finance: The roles of private equity and debt markets in the financial growth cycle," Journal of Banking & Finance, Elsevier, vol. 22(6-8), pages 613-673, August.
    8. Gordon Burtch & Anindya Ghose & Sunil Wattal, 2013. "An Empirical Examination of the Antecedents and Consequences of Contribution Patterns in Crowd-Funded Markets," Information Systems Research, INFORMS, vol. 24(3), pages 499-519, September.
    9. Massimo G. Colombo & Chiara Franzoni & Cristina Rossi–Lamastra, 2015. "Internal Social Capital and the Attraction of Early Contributions in Crowdfunding," Entrepreneurship Theory and Practice, , vol. 39(1), pages 75-100, January.
    10. Victor DeMiguel & Lorenzo Garlappi & Raman Uppal, 2009. "Optimal Versus Naive Diversification: How Inefficient is the 1-N Portfolio Strategy?," The Review of Financial Studies, Society for Financial Studies, vol. 22(5), pages 1915-1953, May.
    11. William N. Goetzmann & Alok Kumar, 2008. "Equity Portfolio Diversification," Review of Finance, European Finance Association, vol. 12(3), pages 433-463.
    12. David North & Robert Baldock & Farid Ullah, 2013. "Funding the growth of UK technology-based small firms since the financial crash: are there breakages in the finance escalator?," Venture Capital, Taylor & Francis Journals, vol. 15(3), pages 237-260, July.
    13. Binks, Martin R & Ennew, Christine T, 1996. "Growing Firms and the Credit Constraint," Small Business Economics, Springer, vol. 8(1), pages 17-25, February.
    14. Fama, Eugene F. & French, Kenneth R., 1993. "Common risk factors in the returns on stocks and bonds," Journal of Financial Economics, Elsevier, vol. 33(1), pages 3-56, February.
    15. Jörn Block & Lars Hornuf & Alexandra Moritz, 2018. "Which updates during an equity crowdfunding campaign increase crowd participation?," Small Business Economics, Springer, vol. 50(1), pages 3-27, January.
    16. Bell, Venetia & Young, Garry, 2010. "Understanding the weakness of bank lending," Bank of England Quarterly Bulletin, Bank of England, vol. 50(4), pages 311-320.
    17. 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.
    18. Haim Shalit, 2021. "The Shapley value decomposition of optimal portfolios," Annals of Finance, Springer, vol. 17(1), pages 1-25, March.
    19. Milne, Alistair & Parboteeah, Paul, 2016. "The Business Models and Economics of Peer-to-Peer Lending," ECRI Papers 11594, Centre for European Policy Studies.
    20. Jeremy C. Short & David J. Ketchen Jr. & Aaron F. McKenny & Thomas H. Allison & R. Duane Ireland, 2017. "Research on Crowdfunding: Reviewing the (Very Recent) past and Celebrating the Present," Entrepreneurship Theory and Practice, , vol. 41(2), pages 149-160, March.
    21. Faten Ben Slimane & Evelyne Rousselet, 2018. "Le financement participatif (ou le crowlending ) aux PME et TPE : mythes et réalités d’une innovation financière," Innovations, De Boeck Université, vol. 0(2), pages 15-39.
    22. Statman, Meir, 1987. "How Many Stocks Make a Diversified Portfolio?," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 22(3), pages 353-363, September.
    23. Douglas J. Cumming & Silvio Vismara, 2017. "De-segmenting research in entrepreneurial finance," Venture Capital, Taylor & Francis Journals, vol. 19(1-2), pages 17-27, January.
    24. 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 1651-1684, August.
    25. Silvio Vismara, 2016. "Equity retention and social network theory in equity crowdfunding," Small Business Economics, Springer, vol. 46(4), pages 579-590, April.
    26. Mollick, Ethan, 2014. "The dynamics of crowdfunding: An exploratory study," Journal of Business Venturing, Elsevier, vol. 29(1), pages 1-16.
    27. Robert E. Carpenter & Bruce C. Petersen, 2002. "Capital Market Imperfections, High-Tech Investment, and New Equity Financing," Economic Journal, Royal Economic Society, vol. 112(477), pages 54-72, 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. Walthoff-Borm, Xavier & Schwienbacher, Armin & Vanacker, Tom, 2018. "Equity crowdfunding: First resort or last resort?," Journal of Business Venturing, Elsevier, vol. 33(4), pages 513-533.
    2. Friedemann Polzin & Helen Toxopeus & Erik Stam, 2018. "The wisdom of the crowd in funding: information heterogeneity and social networks of crowdfunders," Small Business Economics, Springer, vol. 50(2), pages 251-273, February.
    3. Maximilian Goethner & Sebastian Luettig & Tobias Regner, 2021. "Crowdinvesting in entrepreneurial projects: disentangling patterns of investor behavior," Small Business Economics, Springer, vol. 57(2), pages 905-926, August.
    4. KURIHARA Koki & HONJO Yuji, 2022. "Determinants of Campaign Success: Empirical evidence from equity crowdfunding in Japan," Discussion papers 22057, Research Institute of Economy, Trade and Industry (RIETI).
    5. Samuel Ribeiro-Navarrete & Juan Piñeiro-Chousa & M. Ángeles López-Cabarcos & Daniel Palacios-Marqués, 2022. "Crowdlending: mapping the core literature and research frontiers," Review of Managerial Science, Springer, vol. 16(8), pages 2381-2411, November.
    6. Thomas Clauss & Thomas Niemand & Sascha Kraus & Patrick Schnetzer & Alexander Brem, 2019. "Increasing Crowdfunding Success Through Social Media: The Importance Of Reach And Utilisation In Reward-Based Crowdfunding," International Journal of Innovation Management (ijim), World Scientific Publishing Co. Pte. Ltd., vol. 24(03), pages 1-30, May.
    7. Jonathan Fletcher, 2009. "Risk Reduction and Mean‐Variance Analysis: An Empirical Investigation," Journal of Business Finance & Accounting, Wiley Blackwell, vol. 36(7‐8), pages 951-971, September.
    8. Fabrice Hervé & Armin Schwienbacher, 2018. "Crowdfunding And Innovation," Journal of Economic Surveys, Wiley Blackwell, vol. 32(5), pages 1514-1530, December.
    9. Yan, Cheng & Zhang, Huazhu, 2017. "Mean-variance versus naïve diversification: The role of mispricing," Journal of International Financial Markets, Institutions and Money, Elsevier, vol. 48(C), pages 61-81.
    10. Carla Martínez-Climent & Ricardo Costa-Climent & Pejvak Oghazi, 2019. "Sustainable Financing through Crowdfunding," Sustainability, MDPI, vol. 11(3), pages 1-16, February.
    11. Hsu, Po-Hsuan & Han, Qiheng & Wu, Wensheng & Cao, Zhiguang, 2018. "Asset allocation strategies, data snooping, and the 1 / N rule," Journal of Banking & Finance, Elsevier, vol. 97(C), pages 257-269.
    12. W. Cai & F.H.J. Polzin & F.C. Stam, 2019. "Crowdfunding and Social Capital: A Systematic Literature Review," Working Papers 19-05, Utrecht School of Economics.
    13. Francesca Battaglia & Marika Carboni & Antonella Francesca Cicchiello & Stefano MonferrÃ, 2021. "Assessing the Effects of Anti-corruption Law on Entrepreneurial Finance: Evidence from Latin America," Journal of Emerging Market Finance, Institute for Financial Management and Research, vol. 20(1), pages 48-78, April.
    14. Crosetto, Paolo & Regner, Tobias, 2018. "It's never too late: Funding dynamics and self pledges in reward-based crowdfunding," Research Policy, Elsevier, vol. 47(8), pages 1463-1477.
    15. James DiLellio, 2015. "A Kalman filter control technique in mean-variance portfolio management," Journal of Economics and Finance, Springer;Academy of Economics and Finance, vol. 39(2), pages 235-261, April.
    16. Kazem Mochkabadi & Christine K. Volkmann, 2020. "Equity crowdfunding: a systematic review of the literature," Small Business Economics, Springer, vol. 54(1), pages 75-118, January.
    17. Borello, Giuliana & De Crescenzo, Veronica & Pichler, Flavio, 2019. "Factors for success in European crowdinvesting," Journal of Economics and Business, Elsevier, vol. 106(C).
    18. Steven S. Lui & Zhijing Zhu & Jinjing Liu, 2023. "Success of Crowdfunding: A Trustworthiness Perspective," Asia Pacific Journal of Management, Springer, vol. 40(2), pages 681-706, June.
    19. De Nard, Gianluca & Zhao, Zhao, 2023. "Using, taming or avoiding the factor zoo? A double-shrinkage estimator for covariance matrices," Journal of Empirical Finance, Elsevier, vol. 72(C), pages 23-35.
    20. Wendy D. Chen, 2023. "Crowdfunding: different types of legitimacy," Small Business Economics, Springer, vol. 60(1), pages 245-263, January.

    More about this item

    Keywords

    Portfolio optimization; crowdlending; SMEs; SHAP values; hierarchical clustering;
    All these keywords.

    JEL classification:

    • G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions
    • G23 - Financial Economics - - Financial Institutions and Services - - - Non-bank Financial Institutions; Financial Instruments; Institutional Investors
    • C38 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Classification Methdos; Cluster Analysis; Principal Components; Factor Analysis

    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:drm:wpaper:2022-23. 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: Valerie Mignon (email available below). General contact details of provider: https://edirc.repec.org/data/modemfr.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.