Abstract
This work considers an online portfolio selection problem with reward and risk criteria. We use short-term historical data to forecast the reward term, reflecting the current market trend. We use conditional value-at-risk estimated by long-term historical data to measure the investment risk implied in the market. We reformulate the online portfolio selection model with long-short term forecasting as a linear programming problem. Numerical experiments in various data sets examine the superior out-of-sample performance of the proposed model.


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Data Availability
The data that support the findings of this study are openly available at https://github.com/Marigold/universal-portfolios/tree/master/universal/data.
References
Markowitz H (1952) Portfolio selection. J Financ 7(1):77–91
Kelly JL (1956) A new interpretation of information rate. Bell Syst Tech J 35(4):917–926
Cover T (1991) Universal portfolios. Math Financ 1(1):1–29
Györfi L, Lugosi G, Udina F (2006) Nonparametric kernel-based sequential investment strategies. Math Financ 16(2):337–357
Agarwal A, Hazan E, Kale S, Schapire RE (2006) Algorithms for portfolio management based on the Newton method. In: Proceedings of the 23rd International Conference on Machine Learning, pp 9–16
Li B, Zhao P, Hoi S, Gopalkrishnan V (2012) PAMR: passive aggressive mean reversion strategy for portfolio selection. Mach Learn 87(2):221–258
Huang D, Zhou J, Li B, Hoi S, Zhou S (2016) Robust median reversion strategy for online portfolio selection. IEEE Trans Knowl Data Eng 28(9):2480–2493
Lai Z, Yang P, Fang L, Wu X (2018) Short-term sparse portfolio optimization based on alternating direction method of multipliers. J Mach Learn Res 19(1):2547–2574
Zhang Y, Lin H, Yang X, Long W (2021a) Combining expert weights for online portfolio selection based on the gradient descent algorithm. Knowl-Based Syst 234:107533
Li B, Hoi S (2014) Online portfolio selection: a survey. ACM Comput Surv 46(3):1–36
Shen W, Wang J, Jiang Y, Zha H (2015) Portfolio choices with orthogonal bandit learning. In: Twenty-fourth International Joint Conference on Artificial Intelligence, pp 974–980
Ho M, Sun Z, Xin J (2015) Weighted elastic net penalized mean-variance portfolio design and computation. SIAM Journal on Financial Mathematics 6(1):1220–1244
Mohr E, Dochow R (2017) Risk management strategies for finding universal portfolios. Ann Oper Res 256(1):129–147
Uziel G, El-Yaniv R (2018) Growth-optimal portfolio selection under CVaR constraints. In: International Conference on Artificial Intelligence and Statistics, pp 48–57
Krokhmal P, Zabarankin M, Uryasev S (2013) Modeling and optimization of risk. Handbook of the fundamentals of financial decision making: Part II:555–600
Rockafellar T, Uryasev S (2000) Optimization of conditional value-at-risk. J Risk 2:21–42
Lai Z, Li C, Wu X, Guan Q, Fang L (2022) Multitrend conditional value at risk for portfolio optimization. IEEE Transactions on Neural Networks and Learning Systems
Chun SY, Shapiro A, Uryasev S (2012) Conditional value-at-risk and average value-at-risk: estimation and asymptotics. Oper Res 60(4):739–756
Yao H, Li Z, Lai Y (2013) Mean-CVaR portfolio selection: a nonparametric estimation framework. Comput Oper Res 40(4):1014–1022
Huo X, Fu F (2017) Risk-aware multi-armed bandit problem with application to portfolio selection. R Soc Open Sci 4(11):171377
Ma Y, Han R, Wang W (2021) Portfolio optimization with return prediction using deep learning and machine learning. Expert Syst Appl 165:113973
Bai Y, Yin J, Ju S, Chen Z, Huang JZ (2020) Long and short term risk control for online portfolio selection. In: International Conference on Knowledge Science, Engineering and Management, pp 472–480
Uziel G, El-Yaniv R (2020) Long-and short-term forecasting for portfolio selection with transaction costs. In: Proceedings of the Twenty Third International Conference on Artificial Intelligence and Statistics, pp 100–110
Helmbold D, Schapire R, Singer Y, Warmuth M (1997) A comparison of new and old algorithms for a mixture estimation problem. Mach Learn 27(1):97–119
Helmbold D, Schapire R, Singer Y, Warmuth M (1998) On-line portfolio selection using multiplicative updates. Math Financ 8(4):325–347
Gaivoronski A, Stella F (2000) Stochastic nonstationary optimization for finding universal portfolios. Ann Oper Res 100(1):165–188
Hazan E, Kale S (2009) On stochastic and worst-case models for investing. Adv Neural Inf Process Syst 22:709–717
Hazan E, Kale S (2015) An online portfolio selection algorithm with regret logarithmic in price variation. Math Financ 25(2):288–310
Li B, Hoi S, Zhao P, Gopalkrishnan V (2013) Confidence weighted mean reversion strategy for online portfolio selection. ACM Trans Knowl Discov Data 7(1):1–38
Li B, Hoi S (2012) On-line portfolio selection with moving average reversion. arXiv preprint arXiv:1206.4626
Györfi L, Schafer D (2003) Nonparametric prediction. Advances in Learning Theory: Methods, Models and Applications 190:341–356
Li B, Hoi S, Gopalkrishnan V (2011) CORN: correlation-driven nonparametric learning approach for portfolio selection. ACM Trans Intell Syst Technol 2(3):1–29
Lai Z, Dai D, Ren C, Huang K (2017) A peak price tracking-based learning system for portfolio selection. IEEE Transactions on Neural Networks and Learning Systems 29(7):2823–2832
Györfi L, Ottucsák G, Walk H (2012) Machine learning for financial engineering, vol 8. World Scientific
Borodin A, El-Yaniv R, Gogan V (2004) Can we learn to beat the best stock. J Artif Intell Res 21:579–594
Zhang Y, Lin H, Yang X, Long W (2021b) Combining expert weights for online portfolio selection based on the gradient descent algorithm. Knowl-Based Syst 234:107533
Li B, Sahoo D, Hoi S (2016) OLPS: a toolbox for on-line portfolio selection. J Mach Learn Res 17(35):1–5
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This research was supported by the National Natural Science Foundation of China under Grant Numbers 11991023 and 11901449.
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Li, R., Liu, J. Online Portfolio Selection with Long-Short Term Forecasting. Oper. Res. Forum 3, 56 (2022). https://doi.org/10.1007/s43069-022-00169-1
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DOI: https://doi.org/10.1007/s43069-022-00169-1