IDEAS home Printed from https://ideas.repec.org/a/kap/compec/v66y2025i5d10.1007_s10614-024-10760-9.html

Portfolio Management Transformed: An Enhanced Black–Litterman Approach Integrating Asset Pricing Theory and Machine Learning

Author

Listed:
  • Hyungjin Ko

    (Sungkyunkwan University)

  • Jaewook Lee

    (Seoul National University)

Abstract

This study proposes a novel Black–Litterman portfolio model that leverages machine learning predictions based on size, book-to-market, momentum, and volatility. Our model integrates insights from the four-factor model and the low volatility anomaly, paving the way for a more systematic and automated process in view construction. The proposed methodology significantly augments the out-of-sample portfolio performance, outpacing benchmark strategies across various metrics, such as alpha and the Sharpe ratio. This improvement underscores the substantial economic gains offered by our model, with its Sharpe ratio being approximately 2.4 times that of the market index. Furthermore, the alpha of our portfolio exhibits an impressive annual rate of 18.7%. Additionally, forward-looking views based on machine learning prove superior to naive, backward-looking views based on historical means by more accurately aligning portfolio returns more closely with the actual distribution of future returns, further optimizing risk-adjusted returns. This study bridges the gap between asset pricing theory and portfolio management literature, demonstrating the potential of machine learning in enhancing portfolio management efficiency.

Suggested Citation

  • Hyungjin Ko & Jaewook Lee, 2025. "Portfolio Management Transformed: An Enhanced Black–Litterman Approach Integrating Asset Pricing Theory and Machine Learning," Computational Economics, Springer;Society for Computational Economics, vol. 66(5), pages 3841-3887, November.
  • Handle: RePEc:kap:compec:v:66:y:2025:i:5:d:10.1007_s10614-024-10760-9
    DOI: 10.1007/s10614-024-10760-9
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s10614-024-10760-9
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.

    File URL: https://libkey.io/10.1007/s10614-024-10760-9?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to

    for a different version of it.

    References listed on IDEAS

    as
    1. Fama, Eugene F & French, Kenneth R, 1992. "The Cross-Section of Expected Stock Returns," Journal of Finance, American Finance Association, vol. 47(2), pages 427-465, June.
    2. Back, Kerry, 2010. "Asset Pricing and Portfolio Choice Theory," OUP Catalogue, Oxford University Press, number 9780195380613.
    3. Xidonas, Panagiotis & Mavrotas, George & Zopounidis, Constantin & Psarras, John, 2011. "IPSSIS: An integrated multicriteria decision support system for equity portfolio construction and selection," European Journal of Operational Research, Elsevier, vol. 210(2), pages 398-409, April.
    4. Seongwan Park & Seungju Lee & Yunyoung Lee & Hyungjin Ko & Bumho Son & Jaewook Lee & Huisu Jang, 2023. "Price co-movements in decentralized financial markets," Applied Economics Letters, Taylor & Francis Journals, vol. 30(21), pages 3075-3082, December.
    5. Shihao Gu & Bryan Kelly & Dacheng Xiu, 2020. "Empirical Asset Pricing via Machine Learning," Review of Finance, European Finance Association, vol. 33(5), pages 2223-2273.
    6. Leippold, Markus & Wang, Qian & Zhou, Wenyu, 2022. "Machine learning in the Chinese stock market," Journal of Financial Economics, Elsevier, vol. 145(2), pages 64-82.
    7. Omar Tazi & Samir Aguenaou & Jawad Abrache, 2022. "A Comparative Study of the Fama-French Three Factor and the Carhart Four Factor Models: Empirical Evidence from Morocco," International Journal of Economics and Financial Issues, Econjournals, vol. 12(1), pages 58-66.
    8. Hutchinson, James M & Lo, Andrew W & Poggio, Tomaso, 1994. "A Nonparametric Approach to Pricing and Hedging Derivative Securities via Learning Networks," Journal of Finance, American Finance Association, vol. 49(3), pages 851-889, July.
    9. Kolm, Petter & Ritter, Gordon, 2017. "On the Bayesian interpretation of Black–Litterman," European Journal of Operational Research, Elsevier, vol. 258(2), pages 564-572.
    10. Ko, Hyungjin & Byun, Junyoung & Lee, Jaewook, 2023. "A privacy-preserving robo-advisory system with the Black-Litterman portfolio model: A new framework and insights into investor behavior," Journal of International Financial Markets, Institutions and Money, Elsevier, vol. 89(C).
    11. Ko, Hyungjin & Lee, Seungyun & Lee, Jaewook, 2024. "Sequence and longevity risks of South Korean retirees: Insights and potential remedies," Pacific-Basin Finance Journal, Elsevier, vol. 83(C).
    12. Jeong, Woojin & Park, Seongwan & Lee, Seungyun & Son, Bumho & Lee, Jaewook & Ko, Hyungjin, 2024. "Influence and predictive power of sentiment: Evidence from the lithium market," Finance Research Letters, Elsevier, vol. 68(C).
    13. Ledoit, Oliver & Wolf, Michael, 2008. "Robust performance hypothesis testing with the Sharpe ratio," Journal of Empirical Finance, Elsevier, vol. 15(5), pages 850-859, December.
    14. Hwang, Inchang & Xu, Simon & In, Francis, 2018. "Naive versus optimal diversification: Tail risk and performance," European Journal of Operational Research, Elsevier, vol. 265(1), pages 372-388.
    15. Panagiotis Xidonas & George Mavrotas & John Psarras, 2010. "A multicriteria decision making approach for the evaluation of equity portfolios," International Journal of Mathematics in Operational Research, Inderscience Enterprises Ltd, vol. 2(1), pages 40-72.
    16. Qianjie Geng & Yudong Wang, 2021. "Futures Hedging in CSI 300 Markets: A Comparison Between Minimum-Variance and Maximum-Utility Frameworks," Computational Economics, Springer;Society for Computational Economics, vol. 57(2), pages 719-742, February.
    17. Xing Jin & Dan Luo & Xudong Zeng, 2021. "Tail Risk and Robust Portfolio Decisions," Management Science, INFORMS, vol. 67(5), pages 3254-3275, May.
    18. Mateus, Irina B. & Mateus, Cesario & Todorovic, Natasa, 2019. "Review of new trends in the literature on factor models and mutual fund performance," International Review of Financial Analysis, Elsevier, vol. 63(C), pages 344-354.
    19. Carhart, Mark M, 1997. "On Persistence in Mutual Fund Performance," Journal of Finance, American Finance Association, vol. 52(1), pages 57-82, March.
    20. Rath, Subhrendu & Durand, Robert B., 2015. "Decomposing the size, value and momentum premia of the Fama–French–Carhart four-factor model," Economics Letters, Elsevier, vol. 132(C), pages 139-141.
    21. Jegadeesh, Narasimhan, 1990. "Evidence of Predictable Behavior of Security Returns," Journal of Finance, American Finance Association, vol. 45(3), pages 881-898, July.
    22. Hyungjin Ko & Jaewook Lee & Junyoung Byun & Bumho Son & Saerom Park, 2019. "Loss-Driven Adversarial Ensemble Deep Learning for On-Line Time Series Analysis," Sustainability, MDPI, vol. 11(12), pages 1-24, June.
    23. Jacquelyn E. Humphrey & Michael A. O’Brien, 2010. "Persistence and the four‐factor model in the Australian funds market: a note," Accounting and Finance, Accounting and Finance Association of Australia and New Zealand, vol. 50(1), pages 103-119, March.
    24. Frazzini, Andrea & Pedersen, Lasse Heje, 2014. "Betting against beta," Journal of Financial Economics, Elsevier, vol. 111(1), pages 1-25.
    25. Simaan, Majeed & Simaan, Yusif & Tang, Yi, 2018. "Estimation error in mean returns and the mean-variance efficient frontier," International Review of Economics & Finance, Elsevier, vol. 56(C), pages 109-124.
    26. Ko, Hyungjin & Son, Bumho & Lee, Yunyoung & Jang, Huisu & Lee, Jaewook, 2022. "The economic value of NFT: Evidence from a portfolio analysis using mean–variance framework," Finance Research Letters, Elsevier, vol. 47(PA).
    27. Panos Xidonas & George Mavrotas, 2014. "Multiobjective portfolio optimization with non-convex policy constraints: Evidence from the Eurostoxx 50," The European Journal of Finance, Taylor & Francis Journals, vol. 20(11), pages 957-977, November.
    28. Eric H. Sorensen & Keith L. Miller & Vele Samak, 1998. "Allocating between Active and Passive Management," Financial Analysts Journal, Taylor & Francis Journals, vol. 54(5), pages 18-31, September.
    29. Banz, Rolf W., 1981. "The relationship between return and market value of common stocks," Journal of Financial Economics, Elsevier, vol. 9(1), pages 3-18, March.
    30. Ahmet Murat Ozbayoglu & Mehmet Ugur Gudelek & Omer Berat Sezer, 2020. "Deep Learning for Financial Applications : A Survey," Papers 2002.05786, arXiv.org.
    31. Steven Beach & Alexei Orlov, 2007. "An application of the Black–Litterman model with EGARCH-M-derived views for international portfolio management," Financial Markets and Portfolio Management, Springer;Swiss Society for Financial Market Research, vol. 21(2), pages 147-166, June.
    32. Shihao Gu & Bryan Kelly & Dacheng Xiu, 2020. "Empirical Asset Pricing via Machine Learning," The Review of Financial Studies, Society for Financial Studies, vol. 33(5), pages 2223-2273.
    33. Dimitris Bertsimas & Vishal Gupta & Ioannis Ch. Paschalidis, 2012. "Inverse Optimization: A New Perspective on the Black-Litterman Model," Operations Research, INFORMS, vol. 60(6), pages 1389-1403, December.
    34. Pyo, Sujin & Lee, Jaewook, 2018. "Exploiting the low-risk anomaly using machine learning to enhance the Black–Litterman framework: Evidence from South Korea," Pacific-Basin Finance Journal, Elsevier, vol. 51(C), pages 1-12.
    35. Devpura, Neluka & Narayan, Paresh Kumar & Sharma, Susan Sunila, 2018. "Is stock return predictability time-varying?," Journal of International Financial Markets, Institutions and Money, Elsevier, vol. 52(C), pages 152-172.
    36. Fama, Eugene F. & French, Kenneth R., 2015. "A five-factor asset pricing model," Journal of Financial Economics, Elsevier, vol. 116(1), pages 1-22.
    37. Allen, Dave E. & Sugianto, Richard, 1995. "Australian domestic porfolio diversification and estimation risk: A review of investment strategies," Pacific-Basin Finance Journal, Elsevier, vol. 3(1), pages 142-143, May.
    38. Ivo Welch & Amit Goyal, 2008. "A Comprehensive Look at The Empirical Performance of Equity Premium Prediction," The Review of Financial Studies, Society for Financial Studies, vol. 21(4), pages 1455-1508, July.
    39. Andrew Ang & Robert J. Hodrick & Yuhang Xing & Xiaoyan Zhang, 2006. "The Cross‐Section of Volatility and Expected Returns," Journal of Finance, American Finance Association, vol. 61(1), pages 259-299, February.
    40. 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.
    41. Garyn-Tal, Sharon & Lauterbach, Beni, 2015. "The formulation of the four factor model when a considerable proportion of firms is dual-listed," Emerging Markets Review, Elsevier, vol. 24(C), pages 1-12.
    42. 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.
    43. Ko, Hyungjin & Lee, Jaewook, 2024. "Can ChatGPT improve investment decisions? From a portfolio management perspective," Finance Research Letters, Elsevier, vol. 64(C).
    44. Andrew Butler & Roy H. Kwon, 2023. "Integrating prediction in mean-variance portfolio optimization," Quantitative Finance, Taylor & Francis Journals, vol. 23(3), pages 429-452, March.
    45. Markowitz, Harry, 2014. "Mean–variance approximations to expected utility," European Journal of Operational Research, Elsevier, vol. 234(2), pages 346-355.
    46. Sarat Chandra Nayak & Bijan Bihari Misra, 2018. "Estimating stock closing indices using a GA-weighted condensed polynomial neural network," Financial Innovation, Springer;Southwestern University of Finance and Economics, vol. 4(1), pages 1-22, December.
    47. Wolfgang Bessler & Heiko Opfer & Dominik Wolff, 2017. "Multi-asset portfolio optimization and out-of-sample performance: an evaluation of Black–Litterman, mean-variance, and naïve diversification approaches," The European Journal of Finance, Taylor & Francis Journals, vol. 23(1), pages 1-30, January.
    48. Mark Britten‐Jones, 1999. "The Sampling Error in Estimates of Mean‐Variance Efficient Portfolio Weights," Journal of Finance, American Finance Association, vol. 54(2), pages 655-671, April.
    49. Elissaios Sarmas & Panos Xidonas & Haris Doukas, 2020. "Multicriteria Portfolio Construction with Python," Springer Optimization and Its Applications, Springer, number 978-3-030-53743-2, April.
    50. David McMillan & Mark Wohar, 2013. "UK stock market predictability: evidence of time variation," Applied Financial Economics, Taylor & Francis Journals, vol. 23(12), pages 1043-1055, June.
    51. Daiki Maki & Yasushi Ota, 2021. "Testing for Time-Varying Properties Under Misspecified Conditional Mean and Variance," Computational Economics, Springer;Society for Computational Economics, vol. 57(4), pages 1167-1182, April.
    52. Enrique Sentana, 2009. "The econometrics of mean-variance efficiency tests: a survey," Econometrics Journal, Royal Economic Society, vol. 12(3), pages 65-101, November.
    53. Fernandes, Betina & Street, Alexandre & Fernandes, Cristiano & Valladão, Davi, 2018. "On an adaptive Black–Litterman investment strategy using conditional fundamentalist information: A Brazilian case study," Finance Research Letters, Elsevier, vol. 27(C), pages 201-207.
    54. J. Levendovszky & I. Reguly & A. Olah & A. Ceffer, 2019. "Low Complexity Algorithmic Trading by Feedforward Neural Networks," Computational Economics, Springer;Society for Computational Economics, vol. 54(1), pages 267-279, June.
    55. Palczewski, Andrzej & Palczewski, Jan, 2014. "Theoretical and empirical estimates of mean–variance portfolio sensitivity," European Journal of Operational Research, Elsevier, vol. 234(2), pages 402-410.
    56. Yusif Simaan, 1997. "Estimation Risk in Portfolio Selection: The Mean Variance Model Versus the Mean Absolute Deviation Model," Management Science, INFORMS, vol. 43(10), pages 1437-1446, October.
    57. Xiao Zhong & David Enke, 2019. "Predicting the daily return direction of the stock market using hybrid machine learning algorithms," Financial Innovation, Springer;Southwestern University of Finance and Economics, vol. 5(1), pages 1-20, December.
    58. Ghiassi, M. & Saidane, H. & Zimbra, D.K., 2005. "A dynamic artificial neural network model for forecasting time series events," International Journal of Forecasting, Elsevier, vol. 21(2), pages 341-362.
    59. Yuanyuan Zhang & Xiang Li & Sini Guo, 2018. "Portfolio selection problems with Markowitz’s mean–variance framework: a review of literature," Fuzzy Optimization and Decision Making, Springer, vol. 17(2), pages 125-158, June.
    60. Harris, Richard D.F. & Stoja, Evarist & Tan, Linzhi, 2017. "The dynamic Black–Litterman approach to asset allocation," European Journal of Operational Research, Elsevier, vol. 259(3), pages 1085-1096.
    61. Goto, Shingo & Xu, Yan, 2015. "Improving Mean Variance Optimization through Sparse Hedging Restrictions," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 50(6), pages 1415-1441, December.
    62. Ng, Lilian, 1991. "Tests of the CAPM with Time-Varying Covariances: A Multivariate GARCH Approach," Journal of Finance, American Finance Association, vol. 46(4), pages 1507-1521, September.
    63. Guidolin, Massimo & McMillan, David G. & Wohar, Mark E., 2013. "Time varying stock return predictability: Evidence from US sectors," Finance Research Letters, Elsevier, vol. 10(1), pages 34-40.
    64. Harvey, Campbell R., 1989. "Time-varying conditional covariances in tests of asset pricing models," Journal of Financial Economics, Elsevier, vol. 24(2), pages 289-317.
    65. Ciniro A. L. Nametala & Jonas Villela de Souza & Alexandre Pimenta & Eduardo Gontijo Carrano, 2023. "Use of Econometric Predictors and Artificial Neural Networks for the Construction of Stock Market Investment Bots," Computational Economics, Springer;Society for Computational Economics, vol. 61(2), pages 743-773, February.
    66. Byun, Junyoung & Ko, Hyungjin & Lee, Jaewook, 2023. "A Privacy-preserving mean–variance optimal portfolio," Finance Research Letters, Elsevier, vol. 54(C).
    67. Son, Bumho & Lee, Jaewook, 2022. "Graph-based multi-factor asset pricing model," Finance Research Letters, Elsevier, vol. 44(C).
    68. Suleyman Basak & Georgy Chabakauri, 2010. "Dynamic Mean-Variance Asset Allocation," The Review of Financial Studies, Society for Financial Studies, vol. 23(8), pages 2970-3016, August.
    69. Steuer, Ralph E. & Na, Paul, 2003. "Multiple criteria decision making combined with finance: A categorized bibliographic study," European Journal of Operational Research, Elsevier, vol. 150(3), pages 496-515, November.
    70. Blitz, D.C. & van Vliet, P., 2007. "The Volatility Effect: Lower Risk without Lower Return," ERIM Report Series Research in Management ERS-2007-044-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.
    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. Jiawei Zhou, 2026. "Quantum Finance: Exploring the Implications of Quantum Computing on Financial Models," Computational Economics, Springer;Society for Computational Economics, vol. 67(2), pages 1043-1072, February.

    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. Ko, Hyungjin & Son, Bumho & Lee, Jaewook, 2024. "A novel integration of the Fama–French and Black–Litterman models to enhance portfolio management," Journal of International Financial Markets, Institutions and Money, Elsevier, vol. 91(C).
    2. Christian Fieberg & Daniel Metko & Thorsten Poddig & Thomas Loy, 2023. "Machine learning techniques for cross-sectional equity returns’ prediction," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 45(1), pages 289-323, March.
    3. Cakici, Nusret & Zaremba, Adam, 2021. "Liquidity and the cross-section of international stock returns," Journal of Banking & Finance, Elsevier, vol. 127(C).
    4. Flögel, Volker & Schlag, Christian & Zunft, Claudia, 2021. "Momentum-managed equity factors," SAFE Working Paper Series 317, Leibniz Institute for Financial Research SAFE.
    5. Flögel, Volker & Schlag, Christian & Zunft, Claudia, 2022. "Momentum-Managed Equity Factors," Journal of Banking & Finance, Elsevier, vol. 137(C).
    6. Bui, Dien Giau & Kong, De-Rong & Lin, Chih-Yung & Lin, Tse-Chun, 2023. "Momentum in machine learning: Evidence from the Taiwan stock market," Pacific-Basin Finance Journal, Elsevier, vol. 82(C).
    7. Hollstein, Fabian & Prokopczuk, Marcel & Wese Simen, Chardin, 2020. "Beta uncertainty," Journal of Banking & Finance, Elsevier, vol. 116(C).
    8. Cakici, Nusret & Zaremba, Adam, 2022. "Salience theory and the cross-section of stock returns: International and further evidence," Journal of Financial Economics, Elsevier, vol. 146(2), pages 689-725.
    9. Cong Wang, 2024. "Stock return prediction with multiple measures using neural network models," Financial Innovation, Springer;Southwestern University of Finance and Economics, vol. 10(1), pages 1-34, December.
    10. Jiaju Miao & Pawel Polak, 2023. "Online Ensemble Learning for Sector Rotation: A Gradient-Free Framework," Papers 2304.09947, arXiv.org, revised Nov 2025.
    11. Hanauer, Matthias X. & Lauterbach, Jochim G., 2019. "The cross-section of emerging market stock returns," Emerging Markets Review, Elsevier, vol. 38(C), pages 265-286.
    12. Cakici, Nusret & Zaremba, Adam, 2023. "Recency bias and the cross-section of international stock returns," Journal of International Financial Markets, Institutions and Money, Elsevier, vol. 84(C).
    13. Bai, Jennie & Bali, Turan G. & Wen, Quan, 2021. "Is there a risk-return tradeoff in the corporate bond market? Time-series and cross-sectional evidence," Journal of Financial Economics, Elsevier, vol. 142(3), pages 1017-1037.
    14. Stephen A. Gorman & Frank J. Fabozzi, 2021. "The ABC’s of the alternative risk premium: academic roots," Journal of Asset Management, Palgrave Macmillan, vol. 22(6), pages 405-436, October.
    15. Christian Fieberg & Gerrit Liedtke & Thorsten Poddig, 2025. "Recurrent double-conditional factor model," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 47(1), pages 205-254, March.
    16. Kees G. Koedijk & Alfred M.H. Slager & Philip A. Stork, 2016. "Investing in Systematic Factor Premiums," European Financial Management, European Financial Management Association, vol. 22(2), pages 193-234, March.
    17. Bradrania, Reza & Veron, Jose Francisco & Wu, Winston, 2023. "The beta anomaly and the quality effect in international stock markets," Journal of Behavioral and Experimental Finance, Elsevier, vol. 38(C).
    18. Adam Zaremba & Jacob Koby Shemer, 2018. "Price-Based Investment Strategies," Springer Books, Springer, number 978-3-319-91530-2, January.
    19. Zuluaga-Rendón, Simón & Agudelo, Diego A., 2025. "Nonparametric identification of factors for the cross-section of Latin American stock returns," Global Finance Journal, Elsevier, vol. 68(C).
    20. Doron Avramov & Guy Kaplanski & Avanidhar Subrahmanyam, 2022. "Postfundamentals Price Drift in Capital Markets: A Regression Regularization Perspective," Management Science, INFORMS, vol. 68(10), pages 7658-7681, October.

    More about this item

    Keywords

    ;
    ;
    ;
    ;
    ;

    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:kap:compec:v:66:y:2025:i:5:d:10.1007_s10614-024-10760-9. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.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.